o
    Ebh                    @   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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!  m#Z# ddl$m!  m%Z& ddl'm(Z( dd	l)m*Z* dd
l+m,Z, ddl-m.Z. ddl/m0Z0 ddl1m2Z2 ddl3m4Z4 ddl5m6Z6 ddl7m8Z8m9Z9m:Z: 	 eg de;Z<eg de;Z=eg de;Z>eg de;Z?eg de;Z@eg de;ZAeg de;ZBG dd dZCG dd dZDG dd dZEG dd  d ZFG d!d" d"ZGd#d$ ZHd%d& ZId'd( ZJG d)d* d*ZKd+d, ZLd-d. ZMd/d0 ZNd1d2 ZOG d3d4 d4ZPG d5d6 d6ZQd7d8 ZRd9d: ZSd;d< ZTG d=d> d>ZUG d?d@ d@ZVG dAdB dBZWG dCdD dDZXG dEdF dFZYG dGdH dHZZG dIdJ dJZ[dKdL Z\G dMdN dNZ]G dOdP dPZ^G dQdR dRZ_dSdT Z`edUg dVZaeag dWddddXdYdXebdZ d[ebd\   dYd]ebd^ d]ebd_   d`dVeag dWg dadddbdYdXebd^ d]ebdZ  d]ebdc   dYdYebdZ ddebd^  dYebde   dfdVeag dWd]dddXdYdXebdZ d[ebd\   dYd]ebd^ d]ebd_   d`dVeag dgg dgdddddddVgZceag ddddddddVeaeg g g gjddddg dhg dhg dhg dhdVeaeg g g gdddg g g g dVgZeG didj djZfdkdl Zgejhidmdnejjfdoejkfgdpdq Zldrds Zmdtdu Zndvdw ZoG dxdy dyZpG dzd{ d{ZqG d|d} d}Zrd~d Zsdd Ztdd Zuejhidevddfevddfgdd Zwdd ZxdddZydd ZzG dd dZ{G dd dZ|G dd dZ}dd Z~dd Zdd Zdd Zejhidevddfevd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ZdddZG ddÄ dÃZG ddń dŃZG ddǄ dǃZddɄ Zdd˄ Zdd̈́ ZG ddτ dσ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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)
assert_assert_equalassert_almost_equalassert_array_almost_equalassert_array_equalassert_approx_equalassert_allcloseassert_warnssuppress_warningsassert_array_less)raises)arrayarangefloat32float64power)kolmogn)FuncData)binom   )check_named_results)matrix)cdist)NumpyVersion)_broadcast_concatenate)_calc_t_stat_data_partitions#AlexanderGovernConstantInputWarning)	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   sB  t tdd}t|d| jd t jtddd}t jtd d}t||| jd tdtd	d
d}t j|d d}t|| | jd t j|dd}t	||jdddd t j|dd}t	||jdddd t j|dd d}t|d| jd t j|ddd}g d}t	||dd t j|dddd}g d}t	||dd t
|}t
j|ddd f< t j|ddd}ddddt
jt
jt
jg}t	||dd t N}|td t j|ddd}d d!d"d#t
jt
jt
jt
jt
jg	}t	||dd t j|dd$dd}dd!d"d#t
jt
jt
jt
jt
jg	}t	||dd W d    d S 1 sw   Y  d S )%Nr    r&   TT      @significant)FFlimits	inclusiver9   ?   dtyper'   r%   axisr   r&   decimalr   )r    =   )r9   r@   g     ?@)r       )         '@r'   
            TF)r9   r:   r@   )      %@rF   r'   rG   rH   rI   rJ   )r   rJ   r-   r.   r/   Mean of empty slicer"   rG      rD   FT)statsZtmeanXr	   dprecr   r   reshapemeanr   npr   nanr   recordRuntimeWarning)selfyy1y2x_2dZy_trueZx_2d_with_nansup ra   >/usr/lib/python3/dist-packages/scipy/stats/tests/test_stats.py
test_tmeanF   sH   
  $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 )Nr3   r4   r8   g@r6   r;   r   ddofr<   r=   )r'   r%   r?   r   )r   r%   g     v@r&   rA   )r   r'   g㪪@r!   g@z"Degrees of freedom <= 0 for slice.)r   r#   )r9   r@   r:   r+   r   r$   )rR   ZtvarrS   r	   rT   varr   r   rU   r   rW   fullr   rY   rZ   r   rX   )r[   r\   r_   r`   ra   ra   rb   	test_tvaru   s*   "zTestTrimmedStats.test_tvarc                 C   sH   t tdd}t|d| jd t jtd d}t|tjdd| jd d S )Nr3   r4   gBĆ/H@r6   r;   r   rd   )rR   ZtstdrS   r	   rT   stdr[   r\   ra   ra   rb   	test_tstd   s   zTestTrimmedStats.test_tstdc              	   C   s  t tdd td}t t|d t tj|ddd t tj|dddd |d}t tj|dddd	dg t tj|dd
g d t tj|d d
d td}tj|d< t [}|t	d t t|tj t tj|ddd t
ttj|dd t
ttj|dd d}t
t|d tj|dd W d    n1 sw   Y  W d    d S W d    d S 1 sw   Y  d S )Nr"   rG   r   )
lowerlimitF)rm   r:   r   r#   r    r    r?   )r   r    r"   r$   r&         $@r'   invalid value*omit
nan_policy        raisefoobarz'propagate', 'raise', 'omit'matchZfoo)r   rR   ZtminrW   r   rU   rX   r   rY   rZ   assert_raises
ValueError)r[   xr`   msgra   ra   rb   	test_tmin   s0   



"zTestTrimmedStats.test_tminc                 C   s:  t tdd td}t t|d t tj|ddd t tj|dddd |d}t tj|ddddd	g t tj|d
dg d t tj|d dd td}tj|d< t 4}|t	d t t|tj t tj|ddd t
ttj|dd t
ttj|dd W d    d S 1 sw   Y  d S )Nr"   rG   r'   )
upperlimitF)r~   r:   r&   rn   r%   r   r?   r   r!   r#   r%   r'   ro   r$   rp   rq   rr         "@ru   rv   )r   rR   ZtmaxrW   r   rU   rX   r   rY   rZ   ry   rz   )r[   r{   r`   ra   ra   rb   	test_tmax   s$   



"zTestTrimmedStats.test_tmaxc                 C   sn   t jtddd}tg d}t||jddt|j | j	d tt jtdd	gd
t jtd d
| j	d d S )N)r!   r&   rQ   r8   )r"   r#   r$   r%   r&   r   rd   r6   rM   rG   r;   )
rR   ZtsemrS   rW   r   r	   rj   sqrtsizerT   )r[   r\   Zy_refra   ra   rb   	test_tsem   s   
zTestTrimmedStats.test_tsemN)__name__
__module____qualname__rW   Zfinfor   Z	precisionrT   rc   ri   rl   r}   r   r   ra   ra   ra   rb   r2   B   s    / r2   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         ?)rR   pearsonrrS   r	   r[   r\   rra   ra   rb   test_pXX      zTestCorrPearsonr.test_pXXc                 C   "   t tt}|d }t|d d S r   )rR   r   rS   BIGr	   r   ra   ra   rb   
test_pXBIG   r   zTestCorrPearsonr.test_pXBIGc                 C   r   r   )rR   r   rS   LITTLEr	   r   ra   ra   rb   test_pXLITTLE   r   zTestCorrPearsonr.test_pXLITTLEc                 C   r   r   )rR   r   rS   HUGEr	   r   ra   ra   rb   test_pXHUGE   r   zTestCorrPearsonr.test_pXHUGEc                 C   r   r   )rR   r   rS   TINYr	   r   ra   ra   rb   test_pXTINY   r   zTestCorrPearsonr.test_pXTINYc                 C   r   r   )rR   r   rS   ROUNDr	   r   ra   ra   rb   test_pXROUND   r   zTestCorrPearsonr.test_pXROUNDc                 C   r   r   )rR   r   r   r	   r   ra   ra   rb   test_pBIGBIG   r   zTestCorrPearsonr.test_pBIGBIGc                 C   r   r   )rR   r   r   r   r	   r   ra   ra   rb   test_pBIGLITTLE  r   z TestCorrPearsonr.test_pBIGLITTLEc                 C   r   r   )rR   r   r   r   r	   r   ra   ra   rb   test_pBIGHUGE  r   zTestCorrPearsonr.test_pBIGHUGEc                 C   r   r   )rR   r   r   r   r	   r   ra   ra   rb   test_pBIGTINY  r   zTestCorrPearsonr.test_pBIGTINYc                 C   r   r   )rR   r   r   r   r	   r   ra   ra   rb   test_pBIGROUND  r   zTestCorrPearsonr.test_pBIGROUNDc                 C   r   r   )rR   r   r   r	   r   ra   ra   rb   test_pLITTLELITTLE  r   z#TestCorrPearsonr.test_pLITTLELITTLEc                 C   r   r   )rR   r   r   r   r	   r   ra   ra   rb   test_pLITTLEHUGE  r   z!TestCorrPearsonr.test_pLITTLEHUGEc                 C   r   r   )rR   r   r   r   r	   r   ra   ra   rb   test_pLITTLETINY   r   z!TestCorrPearsonr.test_pLITTLETINYc                 C   r   r   )rR   r   r   r   r	   r   ra   ra   rb   test_pLITTLEROUND%  r   z"TestCorrPearsonr.test_pLITTLEROUNDc                 C   r   r   )rR   r   r   r	   r   ra   ra   rb   test_pHUGEHUGE*  r   zTestCorrPearsonr.test_pHUGEHUGEc                 C   r   r   )rR   r   r   r   r	   r   ra   ra   rb   test_pHUGETINY/  r   zTestCorrPearsonr.test_pHUGETINYc                 C   r   r   )rR   r   r   r   r	   r   ra   ra   rb   test_pHUGEROUND4  r   z TestCorrPearsonr.test_pHUGEROUNDc                 C   r   r   )rR   r   r   r	   r   ra   ra   rb   test_pTINYTINY9  r   zTestCorrPearsonr.test_pTINYTINYc                 C   r   r   )rR   r   r   r   r	   r   ra   ra   rb   test_pTINYROUND>  r   z TestCorrPearsonr.test_pTINYROUNDc                 C   r   r   )rR   r   r   r	   r   ra   ra   rb   test_pROUNDROUNDC  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<atolrt   r    r   rR   r   r
   rW   r   spacingr[   ar   probra   ra   rb   test_r_almost_exactly_pos1H  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   rt   r    r   r   r   ra   ra   rb   test_r_almost_exactly_neg1Q  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rM   r   r   )r   r   r!   r!   r    UUUUUU?)r   rR   r   r	   rW   r   )r[   r   br   r   ra   ra   rb   
test_basicZ  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   rR   ZPearsonRConstantInputWarningr   r   rW   rX   r[   r   pra   ra   rb   test_constant_inputc  s
   "z$TestCorrPearsonr.test_constant_inputc                 C   sl   dddt d g}ddddt d  g}ttj t||\}}W d    d S 1 s/w   Y  d S )Nr    r!   r$   )rW   r   r   rR   Z PearsonRNearConstantInputWarningr   r[   r{   r\   r   r   ra   ra   rb   test_near_constant_inputk  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$9"o?ge =:k?)goȟg`
,gzg2l?g>??'ge;E?g3R?rR   r   r
   r   ra   ra   rb   test_very_small_input_valuest  s
   
z-TestCorrPearsonr.test_very_small_input_valuesc                 C   sH   dt g d }dt d }t||\}}t|d t|d d S )NgY)	kR)r   r   r   r   r   r   r   r%   gLXz?g͗~-?)rW   r   r   rR   r   r
   r   ra   ra   rb   test_very_large_input_values  s
   
z-TestCorrPearsonr.test_very_large_input_valuesc                 C   sD   t g d}t g d}t||\}}t|d t|d d S )N)g7	igNig_b4igZbi)gDig<'(½igmQiZbtig*D{?gݣ?)rW   r   rR   r   r
   r   ra   ra   rb   !test_extremely_large_input_values  s
   
z2TestCorrPearsonr.test_extremely_large_input_valuesc                 C   s0   t ddgddg\}}t|d t|d d S )Nr   r    r!   r#   rR   r   r   r   ra   ra   rb   test_length_two_pos1     
z%TestCorrPearsonr.test_length_two_pos1c                 C   s0   t ddgddg\}}t|d t|d d S )Nr    r   r!   r#   rM   r   r   ra   ra   rb   test_length_two_neg2  r   z%TestCorrPearsonr.test_length_two_neg2c                 C   sp   g d}g d}t ||\}}t|d t|d g d}g d}t ||\}}t|d t|dd	d
 d S )Nr   r    r!   r"   )r   r   r)   r   g?g+?r   r    r!   )r#   ir   rt   Hz>r   r   r   ra   ra   rb   test_more_basic_examples  s   


z)TestCorrPearsonr.test_more_basic_examplesc                 C   s$   g d}ddg}t ttj|| d S )Nr   r"   r#   ry   rz   rR   r   r[   r{   r\   ra   ra   rb   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   ra   ra   rb   	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   ra   ra   ra   rb   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"   r6   d   r      r#   g,Ԛ?r%   r&   g2c?r$   rG   gY
A?      g_?      gO^M?r   gօa?r!   r   ggE?g$I$I?)rR   fisher_exactr	   )r[   r   resra   ra   rb   r     s0   

zTestFisherExact.test_basicc                 C   s  ddgddggdfddgddggdfdd	gd
d
ggdfddgddggdfddgddggdfd
dgd
d	ggdfd
dgd
dggdfddgd	dggt jdffddgd	dggdfdd	gddggt jdffdd	gddggdfg}|D ]\}}tt |}t jj|d	 |d	 ddd qmd S )Nr   r    r   r#   )gAn&	?g}K
T?r%   r&   )g	7?g?r   rG   )g!@j)A?r   r   )gU!a?gKY?r   r   )g7X?g~ltP?)gFu|?r   r   )rt   gQN^?r"   gaa?rt   r   gaa?r!   rH   T)rB   verbose)rW   infrR   r   asarraytestingr   )r[   ZtablisttableZres_rr   ra   ra   rb   test_precise  s$   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"   r6   iPF  i8 r   i_ g^K=?)ziprR   r   r	   )r[   pvalspvalZnumr   ra   ra   rb   test_large_numbers  s   z"TestFisherExact.test_large_numbersc                 C   s    t ttjtddd d S )Nr$   r    r!   )ry   rz   rR   r   rW   r   rU   r[   ra   ra   rb   test_raises  s   zTestFisherExact.test_raisesc                 C   sn   ddgddggddgddggddgddggddgddggf}|D ]}t |\}}t|d t|tj q d S )Nr   r#   rG   r   )rR   r   r   rW   rX   )r[   tablesr   Z	oddsratior   ra   ra   rb   test_row_or_col_zero  s   
z$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,     rD   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   appendrR   r   r
   )r[   r   r   r   r   r   ra   ra   rb   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")rR   r   )r[   Zoddspvaluera   ra   rb   test_gh3014D  s   zTestFisherExact.test_gh3014N)r   r   r   r   r   r   pytestmarkslowr   r   r   r  r  ra   ra   ra   rb   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      @       @)rR   	spearmanrr   rW   isnanallrk   ra   ra   rb   test_scalarS  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'   )ry   rz   rR   r
  r   ra   ra   rb   test_uneven_lengthsW  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   r?   )rW   randomseedrandnrR   r
  correlationshapeTr  ry   rz   r   ra   ra   rb   test_uneven_2d_shapes[  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    r?   r   )
rW   r  r  r  ry   rz   rR   r
  r
   flattenr[   r{   ra   ra   rb   test_ndim_too_highf  s   z$TestCorrSpearmanr.test_ndim_too_highc                 C   sp   t d}t j|d< tt||t jt jf ttj||ddd tttj||dd tttj||dd d S )Nro   r'   rq   rr   )r   rt   ru   rv   )rW   r   rX   r   rR   r
  ry   rz   r  ra   ra   rb   test_nan_policyp     

z!TestCorrSpearmanr.test_nan_policyc                 C   s   t jd t jdd}d}t j|d d |f< t j||dd}tj|dd\}}t|\}}t jt j||dd|dd}t jt j||dd|dd}t||d	d
 t||d	d
 d S )Nr#   rG   r$   r   r?   rq   rr   r   +=r   )	rW   r  r  randrX   deleterR   r
  r
   )r[   r{   kr\   ZcorxZpxZcorypyra   ra   rb   test_nan_policy_bug_12458y  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#   rG   r   r   )r!   rM   r   	propagater@   rs   c                    s$   g | ]  fd dt D qS )c              	      s2   g | ]}t |d d f  d d f jqS N)rR   r
  r  .0i)jr{   ra   rb   
<listcomp>  s   2 zJTestCorrSpearmanr.test_nan_policy_bug_12411.<locals>.<listcomp>.<listcomp>range)r)  mr{   )r+  rb   r,    s    z?TestCorrSpearmanr.test_nan_policy_bug_12411.<locals>.<listcomp>)	rW   r  r  r  rX   rR   r
  r.  r
   )r[   ncorrr  r   ra   r/  rb   test_nan_policy_bug_12411  s   

z+TestCorrSpearmanr.test_nan_policy_bug_12411c                 C   r   r   )rR   r
  rS   r	   r   ra   ra   rb   test_sXX  r   zTestCorrSpearmanr.test_sXXc                 C   r   r   )rR   r
  rS   r   r	   r   ra   ra   rb   
test_sXBIG  r   zTestCorrSpearmanr.test_sXBIGc                 C   r   r   )rR   r
  rS   r   r	   r   ra   ra   rb   test_sXLITTLE  r   zTestCorrSpearmanr.test_sXLITTLEc                 C   r   r   )rR   r
  rS   r   r	   r   ra   ra   rb   test_sXHUGE  r   zTestCorrSpearmanr.test_sXHUGEc                 C   r   r   )rR   r
  rS   r   r	   r   ra   ra   rb   test_sXTINY  r   zTestCorrSpearmanr.test_sXTINYc                 C   r   r   )rR   r
  rS   r   r	   r   ra   ra   rb   test_sXROUND  r   zTestCorrSpearmanr.test_sXROUNDc                 C   r   r   )rR   r
  r   r	   r   ra   ra   rb   test_sBIGBIG  r   zTestCorrSpearmanr.test_sBIGBIGc                 C   r   r   )rR   r
  r   r   r	   r   ra   ra   rb   test_sBIGLITTLE  r   z!TestCorrSpearmanr.test_sBIGLITTLEc                 C   r   r   )rR   r
  r   r   r	   r   ra   ra   rb   test_sBIGHUGE  r   zTestCorrSpearmanr.test_sBIGHUGEc                 C   r   r   )rR   r
  r   r   r	   r   ra   ra   rb   test_sBIGTINY  r   zTestCorrSpearmanr.test_sBIGTINYc                 C   r   r   )rR   r
  r   r   r	   r   ra   ra   rb   test_sBIGROUND  r   z TestCorrSpearmanr.test_sBIGROUNDc                 C   r   r   )rR   r
  r   r	   r   ra   ra   rb   test_sLITTLELITTLE  r   z$TestCorrSpearmanr.test_sLITTLELITTLEc                 C   r   r   )rR   r
  r   r   r	   r   ra   ra   rb   test_sLITTLEHUGE  r   z"TestCorrSpearmanr.test_sLITTLEHUGEc                 C   r   r   )rR   r
  r   r   r	   r   ra   ra   rb   test_sLITTLETINY  r   z"TestCorrSpearmanr.test_sLITTLETINYc                 C   r   r   )rR   r
  r   r   r	   r   ra   ra   rb   test_sLITTLEROUND  r   z#TestCorrSpearmanr.test_sLITTLEROUNDc                 C   r   r   )rR   r
  r   r	   r   ra   ra   rb   test_sHUGEHUGE  r   z TestCorrSpearmanr.test_sHUGEHUGEc                 C   r   r   )rR   r
  r   r   r	   r   ra   ra   rb   test_sHUGETINY  r   z TestCorrSpearmanr.test_sHUGETINYc                 C   r   r   )rR   r
  r   r   r	   r   ra   ra   rb   test_sHUGEROUND  r   z!TestCorrSpearmanr.test_sHUGEROUNDc                 C   r   r   )rR   r
  r   r	   r   ra   ra   rb   test_sTINYTINY  r   z TestCorrSpearmanr.test_sTINYTINYc                 C   r   r   )rR   r
  r   r   r	   r   ra   ra   rb   test_sTINYROUND  r   z!TestCorrSpearmanr.test_sTINYROUNDc                 C   r   r   )rR   r
  r   r	   r   ra   ra   rb   test_sROUNDROUND  r   z"TestCorrSpearmanr.test_sROUNDROUNDc                 C   s   t tt}d}t|| d S )Nr  r  )rR   r
  rS   r   )r[   r   
attributesra   ra   rb    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#   )rR   r
  rW   r   r  r
   r[   x1x2res1res2ra   ra   rb   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)r%  rq   r   r!   r"   r#   r$   r    rr   )rW   rX   rR   r
  r   r  r
   )r[   rs   rN  rO  rP  rQ  ra   ra   rb   test_1d_vs_2d_nans  s   z$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$   )r   r   r    r!   r#   r"   )r   rM   3+?)rM   r   3+)rT  rU  r   r!   r!   r=   g+Hs]s?r    r   )rW   r   r   r   r  rR   r
  zerosfloatr
   r  r  )r[   rN  rO  x3r{   actualZexpected_corrZexpected_pvaluera   ra   rb   
test_3cols  s   


zTestCorrSpearmanr.test_3colsc              
   C   s   t t jddddddgdt jddd	ddgg d
gj}t t jt jt jgt jt jt jgt jt jdgg}ttj|ddj| tj|ddj}t|d d |d d |d d fddd d S )Nr   r  r5   ffffff@      @ffffff"@ffffff@g333333@皙@)r)   r  ffffff@ffffff@       @r\  ffffff@r   r%  rr   rq   r   r   r    )gacJC?g%ln?g_0nYt!޿ư>r   )rW   r   rX   r  r
   rR   r
  r  )r[   r{   r2  r   ra   ra   rb   test_gh_9103   s"   "
zTestCorrSpearmanr.test_gh_9103c           
      C   s   d}t jd t j|}t j|dk}|dk}t |}tj||ddj}t j||< tj||ddj}|	t j
}tj||ddj}g d}	t|||g|	 d S )Nr   iH r   r)   rq   rr   )gonj?)Wn%?rh  )rW   r  r  r  r   rR   r
  r  rX   astypeint32r
   )
r[   r1  r{   r0  r   r   rP  rQ  res3expectedra   ra   rb   test_gh_8111/  s   

zTestCorrSpearmanr.test_gh_8111N)&r   r   r   r   r  r  r  r  r  r#  r3  r4  r5  r6  r7  r8  r9  r:  r;  r<  r=  r>  r?  r@  rA  rB  rC  rD  rE  rF  rG  rH  rK  rR  rS  r[  rg  rm  ra   ra   ra   rb   r  J  sH    
		r  c                   @   s   e Zd ZdZdd Zdd Zdd Zdd	 Zd
d Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zejd d!d"d# Zd$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$   r%   r&   r%   gh
C?gR?r   r   )rR   r
  r	   r[   rN  rO  rl  r   ra   ra   rb   test_spearmanr_vs_rJ  s   z&TestCorrSpearmanr2.test_spearmanr_vs_rc                 C   s   t tg g tjtjf d S r'  )r   rR   r
  rW   rX   r   ra   ra   rb   test_empty_arraysT  s   z$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   )rW   r  r  r   normaldotlinalgcholeskyrR   r
  r	   )r[   r{   r2  rl  r   ra   ra   rb   test_normal_drawsW  s   z$TestCorrSpearmanr2.test_normal_drawsc                 C   s"   t tg dg dd d d S )Nr   r   r    r   r   )r	   rR   r
  r   ra   ra   rb   test_corr_1c  s   "zTestCorrSpearmanr2.test_corr_1c                 C   p   t d}t j|d< tt||t jt jf ttj||ddd tttj||dd tttj||dd d S )Nro   r'   rq   rr   )r   r   ru   rv   )	rW   r   rX   r   rR   r
  r
   ry   rz   r  ra   ra   rb   test_nan_policiesf  r  z$TestCorrSpearmanr2.test_nan_policiesc                 C   s(   t d}t d}tttj|| d S )Nro         4@)rW   r   ry   rz   rR   r
  r   ra   ra   rb   r   o  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$   rq   rr   r!   )rW   rX   rR   r
  r   rM  ra   ra   rb   test_omit_paired_valuet  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  rG   i  i  r   rq   rr   gV-?)listr.  r   rW   rX   r   rR   r
  r   ra   ra   rb   #test_gh_issue_6061_windows_overflow{  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   rR   SpearmanRConstantInputWarningr
  r   rW   rX   r   ra   ra   rb   	test_tie0  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  )rR   r
  r   r   )r[   r{   r\   ZxrZyrsrprra   ra   rb   	test_tie1  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"   rq   rr   )rW   rX   rR   r
  r   )r[   rN  r]   rO  r^   Zsr1Zsr2ra   ra   rb   	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   r?   rW   r   r   rR   r  r
  r   rX   )r[   z1Zz2Zz3r   r   ra   ra   rb   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   ra   ra   rb   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    r?   )rW   r   ry   rz   rR   r
  r   ra   ra   rb   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 )Nro  rp  rq  r   r   r   r   r    r   alternative must be 'less'...rw   	ekki-ekki)rR   r
  r	   r  r   rz   rr  ra   ra   rb   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 )Nro  rp  rq   rs   r   r   The input contains nan valuesrw   ru   nan_policy must be one of...r  )	rW   rX   r   rR   r
  r
   r  r   rz   )	r[   r   rN  rO  x1nanx2nan
res_actualres_expectedmessagera   ra   rb   test_alternative_nan_policy  s,   



"z.TestCorrSpearmanr2.test_alternative_nan_policyN)r   r   r   r   rs  rt  r~  r  r  r   r  r  r  r  r  r  r  r  r  r  r  parametrizer  ra   ra   ra   rb   rn  G  s&    
	
rn  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$   r!   r   r&   r%   r"   )gJkaa?r   rG   )r   紞xO~>)Zvariantr    )g?>?aV>r#   r$   )g}'}'?o&5>rM   )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&   rG   gok|?r   gffffff?r  exactmethodZbananaZrmsrI   r    r   rI   r    r   r"   r%   r   r   )g}+޿g`=i?rI  r  r  ru  rv  rw  r   r   )g\zf?g^n)=r  g#q?ro   r'   rq   rr   )r   g/>re  rf  
asymptotic)rs   r  )r   g&?ru   rv   r  r  r=   i  r   )rR   
kendalltaur	   rW   r   r   ry   rz   r   r   rX   r  r  rz  r{  r|  r}  r   r
   rX  maZmasked_greaterconcatenater   Zisfinite)Zvariantsr{   r\   rl  Ztauxr   r   rN  rO  rJ  r2  taup_valuera   ra   rb   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    rG   r   r   )
rW   r  r  r.  r  shufflemstats_basicr  rR   r	   )sr   r*  r   rl  rZ  ra   ra   rb   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@rq   rr   r   r   r   )rW   rX   rR   r  r
   r  )r{   r\   r1r2ra   ra   rb   test_kendalltau_nan_2nd_arg  s
   r  c                   @   sH  e Zd Zdd ZdZejejejgZg dZg dZ	g dZ
g dZg dZg d	Zg d
Zg dZdd Zeeeedgd eeeeedgd  Zejdedd Zeeeedgd eeeeedgd  Zejdedd Zeeee	dgd eeeee	dgd  Zejdedd Zeeee
dgd eeeee
dgd  Zejdedd Zeeeedgd eeeeedgd  Zejdedd Z eeeedgd eeeeedgd  Z!ejde!dd Z"eeeedgd eeeeedgd  Z#ejde#dd Z$eeeedgd eeeeedgd  Z%ejde%d d! Z&eeeedgd eeeeedgd  Z'ejde'd"d# Z(eeedgd eeedgd  Z)ejd$e)d%d& Z*ejd'd(ejd)d*d+d, Z+d-S ).TestKendallTauAlternativec                 C   s  g d}g d}t j||dd}|d dksJ 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||dd}|d dk sfJ 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 sw   Y  d S )Nro  rp  r  r   r   r   r   r    r   r  rw   r  )rR   r  r   r
   reverser  r   rz   rr  ra   ra   rb   &test_kendalltau_alternative_asymptotic  s,   "z@TestKendallTauAlternative.test_kendalltau_alternative_asymptotic)r   r  r   )r   r   r)   )r   RUUUU?ZUUUU?)g~?r  r  )?r   r  )ˮ[?r   r  )g?gSǌ?gSǌ?)g:
?g3
?g<t'.?)gN  A?gss?gYss?c           	      C   s@   |rt | }|d9 }tj||d|d}||f}t|| d S )NrM   r  r  r   )rW   r   rR   r  r
   )	r[   r{   r\   r   revstat_expected
p_expectedr   r  ra   ra   rb   
exact_testB  s   z$TestKendallTauAlternative.exact_testFr!   Tzalternative, p_expected, revc                 C   s,   dgdg}}t j}| |||||| d S r   )rW   rX   r  r[   r   r  r  r{   r\   r  ra   ra   rb   test_against_R_n1M  s   z+TestKendallTauAlternative.test_against_R_n1c                 C   s.   ddgddg}}d}|  |||||| d S )Nr   r    r!   r"   g?r  r  ra   ra   rb   test_against_R_n2V     z+TestKendallTauAlternative.test_against_R_n2c                 C   s.   g dg d}}d}|  |||||| d S )Nr   r   r  r  ra   ra   rb   test_against_R_c0_  r  z+TestKendallTauAlternative.test_against_R_c0c                 C   .   g dg d}}d}|  |||||| d S )Nr   )r   r    r"   r!   gVUUUUU?r  r  ra   ra   rb   test_against_R_c1h  r  z+TestKendallTauAlternative.test_against_R_c1c                 C   r  )Nro  )r   r#   r"   r    r!   r   r  r  ra   ra   rb   test_against_R_no_correlationr  r  z7TestKendallTauAlternative.test_against_R_no_correlationc                 C   r  )Nr   r    r!   r"   r#   r$   r%   r&   )r&   r$   r   r!   r    r#   r"   r%   r   r  r  ra   ra   rb   test_against_R_no_correlationb|  r  z8TestKendallTauAlternative.test_against_R_no_correlationbc                 C   s,   g d}g d}d}|  |||||| d S )N)	g333333F@g33333F@g33333D@gfffffJ@gYF@gF@gYI@gF@gN@)	g@@r+   r5   @r  g@ffffff@rb  gqq?r  r  ra   ra   rb   test_against_R_lt_171  s   z/TestKendallTauAlternative.test_against_R_lt_171c                 C   @   t jd t jd}t jd}d}| |||||| d S )Nr   r   gUm*,rW   r  r  r  r  r  ra   ra   rb   test_against_R_lt_171b  
   z0TestKendallTauAlternative.test_against_R_lt_171bc                 C   r  )Nr      gH4?r  r  ra   ra   rb   test_against_R_lt_171c  r  z0TestKendallTauAlternative.test_against_R_lt_171czalternative, revc                 C   st   t jd t jd}t jd}tj||d|d}tj||d|d}t|d |d  t|d |d dd d S )	Nr   i  r  r  r  r   MbP?rf  )rW   r  r  r  rR   r  r   r
   )r[   r   r  r{   r\   res0rP  ra   ra   rb   test_gt_171  s   

z%TestKendallTauAlternative.test_gt_171r  )r  r  r   r  c           
      C   s  g d}g d}|t jg }|t jg }tj||||d}t jt jf}t|| tj||d||d}tj||||d}t|| d}	tjt|	d tj||d||d W d    n1 s^w   Y  d	}	tjt|	d tj||d
||d W d    d S 1 sw   Y  d S )Nro  )r#   r$   r%   r&   r'   r  rq   )rs   r  r   r  rw   ru   r  r  )rW   rX   rR   r  r
   r  r   rz   )
r[   r  r   rN  rO  r  r  r  r  r  ra   ra   rb   r    s8   





"z)TestKendallTauAlternative.test_nan_policyN),r   r   r   r  ZalternativesrW   rX   Zp_n1Zp_n2Zp_c0Zp_c1Zp_no_correlationZp_no_correlationbZ
p_n_lt_171Zp_n_lt_171bZp_n_lt_171cr  r  r   reversedZ	case_R_n1r  r  r  r  Z	case_R_n2r  Z	case_R_c0r  Z	case_R_c1r  Zcase_R_no_corrr  Zcase_no_cor_br  Zcase_R_lt_171r  Zcase_R_lt_171br  Zcase_R_lt_171cr  Zcase_gt_171r  r  ra   ra   ra   rb   r    s    4









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   ra   r{   ra   ra   rb   <lambda>      z"test_weightedtau.<locals>.<lambda>)weigherr  )rankgڿgn)r  r  g @ڿg[đ(gIکnTc                 S   r  r  ra   r  ra   ra   rb   r    r  )r  r  c                 S   r  r  ra   r  ra   ra   rb   r    r  r=   r   r   r   r   r    r"   r%   rI   r    )      (@r	  r   r  r	  r   r  r  r  r	  )r  r	  r   r  r   )r   r  r  r   r   gt34+)rR   weightedtaur	   r   rW   rX   r   r   int16ry   rz   )r{   r\   r  r  ra   ra   rb   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   )rR   r  rW   rX   ra   ra   ra   rb   test_segfault_issue_9710+  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   rM   r  rq   )r  rs   rt   )rW   r   ri  rX  rX   rR   r  r   )r1  r{   r\   _r   ra   ra   rb   test_kendall_tau_large5  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t| tt| D ]\}
}|r)|||
 |||  n|||
 |||  }||7 }| |
 | | krE||7 }||
 || krQ|	|7 }	| |
 | | k ra||
 || k sq| |
 | | krv||
 || krv||7 }q| |
 | | k r||
 || ks| |
 | | kr||
 || k r||7 }q|| t||  t||	  S Nr   )r   r.  lenrW   r   )r{   r\   r  r  addZtotZconcZdiscuvr*  r+  wra   ra   rb   wkqA  s    "@
@$z*test_weightedtau_vs_quadratic.<locals>.wkqr  r!   rG   r=   r    rK   c                 S      d| d  S Nr   r   ra   r  ra   ra   rb   r  ^      z/test_weightedtau_vs_quadratic.<locals>.<lambda>c                 S   r  r  ra   r  ra   ra   rb   r  _  r  )rW   r  r  r.  r  r  r   r  ZintprR   r  r  r	   )
r   r  r   r*  r   r  r  r  rl  rZ  ra   ra   rb   test_weightedtau_vs_quadratic?  s$   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    rR   Zfind_repeatsr   )r[   r   r   Znumsra   ra   rb   r   g  s   zTestFindRepeats.test_basicc                 C   s8   g dg fD ]}t |\}}t|g  t|g  qd S )N)rG   r   2      (   r  )r[   r   Zrepeatedcountsra   ra   rb   test_empty_resultm  s
   
z!TestFindRepeats.test_empty_resultN)r   r   r   r   r  ra   ra   ra   rb   r  e  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%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   rt   )	rR   
linregressrS   r   r   	interceptrvaluestderrintercept_stderrr[   resultra   ra   rb   test_linregressBIGXw  s
   z"TestRegression.test_linregressBIGXc                 C   s@   t tt}t|jd t|jd t|jd t|jd d S )Nrt   r   )rR   r  rS   r   r  r  r  r  r  ra   ra   rb   test_regressXX  s
   zTestRegression.test_regressXXc                 C   s(   t tt}t|jd t|jd d S )Nrt   )rR   r  rS   ZEROr   r  r  r  ra   ra   rb   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?rG   r   穷4_Qc?)rW   linspacesinrR   r  _stats_mstats_commonLinregressResultr   
isinstancer   r  )r[   r{   r\   r  lrra   ra   rb   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  rG   r   r  rw   r  r   r  r   r   r    r   )rW   r  r  r  r   rz   rR   r  r
   r  r  )r[   r{   r\   rP  rQ  rk  ra   ra   rb   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)
                              )
r<   Q   8   [   /   9   r   H   >   0   r  r   gؗh?gJK@:Cgag?g->g5ՒO?g]؊E @)rR   r  r
   sloper  r  rW   r   r  r  r  )r[   r{   r\   r   ra   ra   rb   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  rG   r   r  8?)	rW   r  r  vstackrR   r  r   r  r  )r[   r{   r\   Zrowsr  ra   ra   rb   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  rG   r   r   r  r6  )
rW   r  r  hstackZexpand_dimsrR   r  r   r  r  )r[   r{   r\   columnsr  ra   ra   rb   test_regress_simple_onearg_cols  s   
z.TestRegression.test_regress_simple_onearg_colsc                 C   s   t ttjtd d S )NrV  )ry   rz   rR   r  rW   onesr   ra   ra   rb   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 )NrH   r#   r   r   r   rM   c                 S   s   t | |ddS )NrE   rA   )r   r{   r\   ra   ra   rb   r    s    z0TestRegression.test_linregress.<locals>.<lambda>r   r5   gePUn?g.bt>gڽE?gʺL7?)
rW   r   rR   r  r4  r  r  r  r  r  )r[   r{   r\   r  Z	assert_aera   ra   rb   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    rM   )
rW   r  rR   r  r   r  r   r  r  r  )r[   r   r1  r{   r\   r  ra   ra   rb    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  rG   r   )r4  r  r  r  r  r  )rW   r  r  rR   r  r  r  r   r  r   dir)r[   r{   r\   r  r  rJ  ra   ra   rb   !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#   rt   )rW   r   rR   r  r   r  r  r  r[   r{   r\   r  ra   ra   rb   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   rt   )	rW   r   r<  rR   r  r   r  r  r  rE  ra   ra   rb   'test_regress_two_inputs_horizontal_line1  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)   )$r   g,u@gfffff]@     @r^  rK  g     @     4@g|@33333W@gy@r   r   gP@gfffff@4u@rL  g%@gm@gl@g     0@gfffffƋ@gfffff]@r   rJ  gl@rP  rM  rN  rO  gffffff$@gffffff]@g̜l@g33333@g33333|@r  g?g!пr    gpX?rt   gh-h*<?gg?)	rR   r  r   r4  r  r  r  r  r  rE  ra   ra   rb   test_nist_norris>  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  rG   r   r   )	rW   r  r  rR   r  Zpolyfitr   r4  r  )r[   r{   r\   r  Zpolyra   ra   rb   test_compare_to_polyfitR  s   z&TestRegression.test_compare_to_polyfitc                 C   s   t ttjg g  d S r'  )ry   rz   rR   r  r   ra   ra   rb   test_empty_input^  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 )Nro   r'   ignoreinvalidr#   )rW   r   rX   errstaterR   r  r  r  r   r  r   r   r  )r[   r{   r  r  ra   ra   rb   test_nan_inputa  s   

zTestRegression.test_nan_inputc                 C   sX   t d}t jd}d}tt|d t|| W d    d S 1 s%w   Y  d S )NrG   z$Cannot calculate a linear regressionrw   )rW   rW  r  ry   rz   rR   r  )r[   r{   r\   r|   ra   ra   rb   test_identical_xn  s   
"zTestRegression.test_identical_xN)r   r   r   r  r  r  r   r!  r5  r8  r;  r=  r@  rB  rD  rF  rG  rQ  rR  rS  rX  rY  ra   ra   ra   rb   r  u  s(    
	
r  c                  C   sD  t g d\} }}}t| d t|d d}tjt|d t jg ddd W d    n1 s2w   Y  t jg ddd\} }}}t| d t|d g d	}g d
}t j||ddd\} }}}t| d t|d t|ddd t|ddd t j||ddd\} }}}t| d t|d t|ddd t|ddd d S )Nr   r   r   r)   zHmethod must be either 'joint' or 'separate'.'joint_separate' is invalid.rw   Zjoint_separater  Zjointrt   )r   r    r!   r"   rG   rI      )r'   r      r   -   7   N   gQ?Zseparater"   r  gQ@r    rA   gGz@r]  )rR   Ztheilslopesr   r  r   rz   )r4  r  lowerupperr|   r{   r\   ra   ra   rb   test_theilslopesu  s8   










rb  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  r5   r]  )r*   r#   )re  Zdefaultreallimitsr!   )Zcumcountrm   binsizeextrapoints)rR   Zcumfreqr   rW   r   r   r   )r{   Zcumfreqslowlimrf  rg  rJ  r   ra   ra   rb   test_cumfreq  s   ri  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 )Nrc  r"   rd  )r)   K}\UU?rj  rj  )Z	frequencyrm   rf  rg  )rW   r   rR   Zrelfreqr   r   )r   Zrelfreqsrh  rf  rg  rJ  r   Z	relfreqs2ra   ra   rb   test_relfreq  s   


rk  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#   rG   rN   r$   )r!   r>  r&   r%   r"   r    r   )r   r"   r#   rG   rN   rn  ro  r  )a1a2a3r   ra   ra   rb   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   rt   r   r,   r        ?)r   r   rR   scoreatpercentiler  ra   ra   rb   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 )NrG   r  r-   r    r%   r   r   r&   )limitr   rG   r   rG   r   r^  r   rG   r.   Zfractioninterpolation_methodrx  r}  rR   ru  r   r  r.  rW   r   r[   scoreatpercra   ra   rb   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 )NrG   r  r`  r|  r"   higherr#   rv  r~  r   rw  ry  rz  r{  r   r  r  ra   ra   rb   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   r,   rt  )r   r   r  rI   r!   r"   )r   r   r   r   r   r?   )r   r"   r&   )Q?gQ@g(\ @r!   r%   rH   )
r   rW   r   rR   ru  r
   r   r  ZndarrayrU   )r[   r{   rl  r   rQ  Z	expected2ra   ra   rb   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 )NrI   r!   r"   )r   r  r   )g      @r.         &@)r    r!   r"   r#   r"   r#   r$   r%   )r&   r'   rG   rH   r   r?   )      ?g      @g     !@)r*   r.         #@r  r   r   r   r   )r"   r"   r!   r  ra   r   r!   )rR   ru  r   rU   r   r   r  )r[   r  r{   Zr0r  scorera   ra   rb   	test_axis  s&   
zTestScoreatpercentile.test_axisc                 C   s@   t ttjddgddd t ttjdgd t ttjdgd d S )Nr   r    r-  rv   r|  e   rM   )ry   rz   rR   ru  r   ra   ra   rb   test_exception  s
   z$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   rR   ru  rW   rX   r   r   ra   ra   rb   
test_empty%  s   "z TestScoreatpercentile.test_emptyN)r   r   r   rs  r   r  r  r  r  r  r  ra   ra   ra   rb   rm    s    rm  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%   rG   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   rG   r   r   r=   )	rW   r   r   r   filterDeprecationWarningrR   itemfreqr   )dtr   r`   r  r   ra   rb   _check_itemfreq1  s   
(z8TestItemfreq.test_numeric_types.<locals>._check_itemfreq)rW   rj  Zint64r   r   Z	complex64
complex128)r[   r  dtypesr  ra   r   rb   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   rW   emptyr  r   r  r  rR   r  r   r[   r   r   r  ZaaZbbr`   r  ra   ra   rb   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) r*  r    r   r    )r   r   rW   r   r  r   r   r  r  rR   r  r   tupler  ra   ra   rb   test_structured_arraysJ  s   
z#TestItemfreq.test_structured_arraysN)r   r   r   r   r   r  r  r  ra   ra   ra   rb   r  +  s    r  c                
   @   s   e Zd Zdd Zdd Zdd Zdd Zej	d	e
d
d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 r'  rR   moder   rW   r   r[   valsr
  ra   ra   rb   r  W  s   zTestMode.test_emptyc                 C   s6   t d\}}t|tdg t|tdg d S )Nr  r   r  r  ra   ra   rb   r  \  s   zTestMode.test_scalarc                 C   :   g d}t |}t|d d d t|d d d d S )Nr!   r#   r   rG      r!   r    r$   r&   r$   rG   r$   r   r$   r   r!   rR   r  r   r[   data1r  ra   ra   rb   r   a     
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)rG   rG   r  r	  )rG   rG   rG   rG   r  )r  r  r  r  )r	  r  r  r  r?   r   r  r   r&   )rG   rG   r  r  )r    r!   r!   r    rG   r   r    r"   r!   )rW   r   rR   r  r   )r[   r  data2Zdata3Zdata4Zdata5arrr  ra   ra   rb   	test_axesg  s   (,zTestMode.test_axesr@   r   r   c                 C   sR   t jd t jdddd}tj||j| d}tj||d}t j|| d S )Ni:rG   rH   rI   rJ   r?   )	rW   r  r  r  rR   r  ndimr   r   )r[   r@   r   r  rP  ra   ra   rb   test_negative_axes_gh_15375{  s
   z$TestMode.test_negative_axes_gh_15375c                 C   r  )N)Zrainshowersr  r   r  r   r    r  r  ra   ra   rb   test_strings  r  zTestMode.test_stringsc                 C   s\   ddt jddg}t jdtd}||d d < t|}t|d d d t|d d d d S )	NrG   Thellor#   r=   r   r   r    )rW   rX   r  objectrR   r  r   )r[   Zobjectsr  r  ra   ra   rb   test_mixed_objects  s   
zTestMode.test_mixed_objectsc                    s   G dd d  fdddD }t jdtd}||d d < ttt|dk tt |jd	 t	
|}t|d
 d
  d t|d d
 d d S )Nc                   @   4   e Zd Zdd Zdd Zdd Zdd Zd	d
 ZdS )z$TestMode.test_objects.<locals>.Pointc                 S   s
   || _ d S r'  r  r  ra   ra   rb   __init__     
z-TestMode.test_objects.<locals>.Point.__init__c                 S   s   | j |j kS r'  r  r[   otherra   ra   rb   __eq__     z+TestMode.test_objects.<locals>.Point.__eq__c                 S   s   | j |j kS r'  r  r  ra   ra   rb   __ne__  r  z+TestMode.test_objects.<locals>.Point.__ne__c                 S   s   | j |j k S r'  r  r  ra   ra   rb   __lt__  r  z+TestMode.test_objects.<locals>.Point.__lt__c                 S   s
   t | jS r'  )hashr{   r   ra   ra   rb   __hash__  r  z-TestMode.test_objects.<locals>.Point.__hash__N)r   r   r   r  r  r  r  r  ra   ra   ra   rb   Point  s    r  c                    s   g | ]} |qS ra   ra   )r)  r{   r  ra   rb   r,    s    z)TestMode.test_objects.<locals>.<listcomp>)r   r    r!   r"   r!   r    r    r    )r&   r=   r"   )r"   r   r    r   )rW   r  r  r   r  setr   uniquer  rR   r  )r[   Zpointsr  r  ra   r  rb   test_objects  s   
zTestMode.test_objectsc                 C   s<   g d}g }t |}d}t|| t |}t|| d S )Nr  )r  count)rR   r  r   )r[   r  r  rZ  rJ  Zactual2ra   ra   rb   test_mode_result_attributes  s   


z$TestMode.test_mode_result_attributesc                 C   st   dt jdddddddddddg}t|}t|d	 tj|d
d}t|d	 tttj|dd tttj|dd d S )Nr!   r#   r   rG   r  r    r$   r&   )r$   r!   rq   rr   ru   rv   )rW   rX   rR   r  r   ry   rz   )r[   r  rZ  ra   ra   rb   test_mode_nan  s    


zTestMode.test_mode_nandata)r!   r#   r   r   r!   r!   r#   r   )r!   r#   r   c                 C   s$   t j|dd}t|d d d d S )Nrq   rr   r   r   r  )r[   r  r  ra   ra   rb   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 )	NZ	OxidationZPolymerizationZ	Reductionr=   r   r?   r   r   r    )	rW   r   r  rR   r  r  r  r  rX   )r[   r  arr0  r  Zar1ra   ra   rb   test_obj_arrays_ndim  s      $zTestMode.test_obj_arrays_ndimN)r   r   r   r  r  r   r  r  r  r  rW   r   r  r  r  r  r  r  rX   r  r  ra   ra   ra   rb   r  V  s(    
	

r  c                   @   s    e Zd Zg dZdZdd ZdS )TestSEMr   r  c              	   C   s.  t  *}tjdd |td t| j}W d    n1 s!w   Y  W d    n1 s0w   Y  tt	| t| j
}t|d t| j
}ttj| j
ddt||d   tj| j
dd td}tj|d	< tt|tj ttj|d
dd tttj|dd tttj|dd d S )NrT  rU  !Degrees of freedom <= 0 for sliceg㝎?r   rd   r    ro   r'   rq   rr   gH=6?ru   rv   )r   rW   rW  r  rZ   rR   Zsemscalar_testcaser   r  testcaser	   r  r
   r   r   rX   r   ry   rz   )r[   r`   r\   r1  r{   ra   ra   rb   test_sem  s&    

"

zTestSEM.test_semN)r   r   r   r  r  r  ra   ra   ra   rb   r    s    r  c                   @   s   e Zd Zejdg dg dfg dg dfgdd Zdd Zd	d
 Zejdddgdd Z	ejdddgdd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zd d! Zd"d# Zd$d% Zd&d' Zd(d) Zd*d+ Zejd,eg ed-gd.d/ Zd0d1 Zd2d3 Zd4S )5TestZmapZscorezx, yr   r   )r   r   r    r!   r"   c                 C   s6   t ||}|t| t| }t||dd d S )Nr(   rf  )rR   zmaprW   rV   rj   r
   )r[   r{   r\   zrl  ra   ra   rb   	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rt   rt   r   r   )r   r   r   r	  )r	  rt   r	  rt   r   r   r   r!   r	  r   r?   r   r    rt   r   r   r   r   )r   r   r   r   )rW   r   r   rR   r  r   	r[   r{   t1t2t3z0r  z0_expectedz1_expectedra   ra   rb   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  )rt   r   r	  r   r   r@   re   )      r  r)   r)   r   r!   )      r  r)   r*   g?r   )rW   r   rR   r  r   r   r[   r{   r  r  r  ra   ra   rb   test_zmap_ddof	  s   
zTestZmapZscore.test_zmap_ddofre   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 )
NrN   rM   r    r%   rI   rq   re   rs   rd   )rW   r   rX   rR   r  r
   r  )r[   re   scorescomparer  ra   ra   rb   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      r   r    rM   r  r$      )r   r"   rf   r  rq   r   )rs   r@   re   r   rd   r  rf  )
rW   r   rU   r  rX   rR   r  r   r  r
   )r[   re   r  r  r  rl  ra   ra   rb   #test_zmap_nan_policy_omit_with_axis3	  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  rN   r    r%   rI   zinput contains nanrw   ru   rr   )rW   r   rX   r  r   rz   rR   r  )r[   r  r  ra   ra   rb   test_zmap_nan_policy_raiseC	  s
   "z)TestZmapZscore.test_zmap_nan_policy_raisec                 C   s(   t g d}g d}t||dd d S )Nr   )gOT\wg%ܿg%?gOT\w?rI   rA   )rR   zscorer   )r[   r\   desiredra   ra   rb   test_zscoreI	  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  )rW   r   r   rR   r  r   r  ra   ra   rb   test_zscore_axisQ	  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  )rW   r   rR   r  r   r   r  ra   ra   rb   test_zscore_ddofh	  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#   r%  rr   )rW   r   rX   rR   r  r  r  r[   r{   r  ra   ra   rb   test_zscore_nan_propagatet	  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#   rq   rr   gIHb=gIHb=gIHb=?gIHb=?)rW   r   rX   rR   r  r   r[   r{   r  rl  ra   ra   rb   test_zscore_nan_omity	  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   r5   r  r   r   rq   r  rd   vIh%<=rf  )rW   r   rX   rR   r  Zr_r
   r  ra   ra   rb   test_zscore_nan_omit_with_ddof	  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#   ru   rr   )rW   r   rX   ry   rz   rR   r  r  ra   ra   rb   test_zscore_nan_raise	  s   z$TestZmapZscore.test_zscore_nan_raisec                 C   s0   dgd }t |}t|tt|tj d S )NgʡEr!   )rR   r  r   rW   rh   r  rX   r  ra   ra   rb   test_zscore_constant_input_1d	  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ro   ro   ro   ro   ro   r  r        *@r   r?   r   r   r   )r!   r$   )rW   r   rR   r  r   rX   ravelrU   r  r<  rh   )r[   r{   r  r  r  r\   ra   ra   rb   test_zscore_constant_input_2d	  s    

z,TestZmapZscore.test_zscore_constant_input_2dc                 C   s   t g ddddt jgddt jdgg}tj|ddd}t d}t d	}t|t t j| d
t jgt jddt jgt j|t jt jgg tj|ddd}t|t t jt jt jt jg| d|t jg| d	 |t j| d	 gg d S )Nr  ro   r  r  rq   r   rs   r@   r*   r    r   r   r   )rW   r   rX   rR   r  r   r
   )r[   r{   r  r  s2r  ra   ra   rb   -test_zscore_constant_input_2d_nan_policy_omit	  s    


z<TestZmapZscore.test_zscore_constant_input_2d_nan_policy_omitc                 C   s^   t t jt jt jt jgg dg}tj|ddd}t|t t jt jt jt jgg dg d S )N)ro   ro   r  r  rq   r   r  r  )rW   r   rX   rR   r  r   r  ra   ra   rb   test_zscore_2d_all_nan_row	  s   z)TestZmapZscore.test_zscore_2d_all_nan_rowc                 C   s,   t dt j}tj|dd d}t|| d S )Nr    r!   rq   r  )rW   rh   rX   rR   r  r   )r[   r\   r  ra   ra   rb   test_zscore_2d_all_nan	  s   z%TestZmapZscore.test_zscore_2d_all_nanr{   )r!   r   r#   c                 C   s   t |}t|| d S r'  )rR   r  r   r  ra   ra   rb   test_zscore_empty_input	  s   
z&TestZmapZscore.test_zscore_empty_inputc                 C   s$   t g d}g d}t|| d S )Nr   )0j甹`ȿ/A?(/?)rR   gzscorer
   )r[   r  r  ra   ra   rb   test_gzscore_normal_array	  s   z(TestZmapZscore.test_gzscore_normal_arrayc                 C   sJ   t g d}t jj|g dd}t|}ddt jddg}t|| d S )N)r   r    rM   r!   r"   )r   r   r   r   r   maskr  r  r  r  )rW   r   r  masked_arrayrR   r  r   r
   )r[   r{   Zmxr  r  ra   ra   rb   test_gzscore_masked_array	  s   

z(TestZmapZscore.test_gzscore_masked_arrayN)r   r   r   r  r  r  r  r  r  r  r  r  r  r  r  r   r  r  r  r  r  r  r  r  rW   r   rW  r  r  r  ra   ra   ra   rb   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@r  333333@=
ףp=@r  (\
@r  r,   r  皙@)\(@Q@)r   r   r  r  r+   r!  r  r"  r#  r#  r  r$  r  r  r  r,   r  r%  r%  r%  r%  r&  r'  g33333<@rW   r   rX   dat_nandatr   ra   ra   rb   setup_class	  s
   z"TestMedianAbsDeviation.setup_classc                 C   sN   t tj| jd dd | jdd}tj|dd}tg d}t|| d S )Nr?   Q?r$   r"   r   )gףp=
?r)   ?rI  )r   rR   median_abs_deviationr*  rU   rW   r   r   )r[   r*  madZmad_expectedra   ra   rb   test_median_abs_deviation	  s   z0TestMedianAbsDeviation.test_median_abs_deviationc                 C   s   t j| jdd}t|d d S )Nrq   rr   g(\?)rR   r.  r)  r   )r[   r/  ra   ra   rb   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  r5   rc  r   r   r?   rW   r   rX   rR   r.  r   )r[   r{   r/  ra   ra   rb   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$   r  rq   rr   r   )rW   r   rX   r   rR   r.  r   )Zsefr  r/  ra   ra   rb   test_nan_policy_omit_with_inf	  s   z4TestMedianAbsDeviation.test_nan_policy_omit_with_infr@   )r   r   r    Nc                 C   s:   t d}tj||d}t|t j|j|dt jd d S )N)r!   r   r"   r?   Z
fill_value)rW   rW  rR   r.  r   Z	full_likesumrX   )r[   r@   r{   r/  ra   ra   rb   test_size_zero_with_axis	  s   
"z/TestMedianAbsDeviation.test_size_zero_with_axisznan_policy, expectedrq   r*   r%  c              	   C   sZ   t t jt jt jt jt jt jgddddt jt jgg dg}tj||dd}t|| d S )Nr   r#   r!   r$   )r#   r$   r%   r'   r'   rG   r  r3  )r[   rs   rl  r{   r/  ra   ra   rb   test_nan_policy_with_axis	  s   z0TestMedianAbsDeviation.test_nan_policy_with_axiszaxis, expectedr   )r+   r	  r  )Nr-   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   rI   )r:  r:  r   r   rq   )centerrs   r@   r   )r   r   )rW   r   rX   rR   r.  rV   r
   )r[   r@   rl  r{   r/  ra   ra   rb   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callablerw   )r   r    r!   r#   r  )r;  )r  r   	TypeErrorrR   r.  r   ra   ra   rb   test_center_not_callable
  s   "z/TestMedianAbsDeviation.test_center_not_callableN)r   r   r   r+  r0  r1  r4  r5  r  r  r  r8  rW   r   rX   r9  r<  r?  ra   ra   ra   rb   r  	  s&    


r  c                   @   rl  )TestMedianAbsoluteDeviationc                 C   r  r  r(  r   ra   ra   rb   r+  
  s
   z'TestMedianAbsoluteDeviation.setup_classc                 C   sN   g }t  }|t t|}W d    n1 sw   Y  t|tj d S r'  )r   r  r  rR   median_absolute_deviationr   rW   rX   )r[   r*  r`   r/  ra   ra   rb   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   r?   r   r  rW   r<  r   r  r  rR   rA  r   rX   r   r  )r[   r  r`   	mad_axis0	mad_axis1ra   ra   rb   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   r?   r   r    r!   r    rD  )r[   r  r`   rE  rF  Z	mad_axis2ra   ra   rb   test_mad_nan_shape20
  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 )Nr%  rr   )	r   r  r  rR   rA  r)  r   rW   rX   )r[   r`   r/  ra   ra   rb   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 )Nru   rr   )ry   rz   r   r  r  rR   rA  r)  r[   r`   ra   ra   rb   test_mad_nan_raiseE
  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   ry  r,  r   r  r  rR   rA  r*  r   )r[   r`   r/  	mad_floatra   ra   rb   test_mad_scale_defaultL
  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 )Nrz  rM  gsV?g)?rN  )r[   r`   r/  ry  rO  ra   ra   rb   test_mad_scale_normalT
  s   

z1TestMedianAbsoluteDeviation.test_mad_scale_normalN)r   r   r   r+  rB  rG  rI  rJ  rL  rP  rQ  ra   ra   ra   rb   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)Z	warn_listZexpected_typeZexpected_lenZwarn_ra   ra   rb   _check_warnings^
  s   rS  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)   rt  )rW   r   r  r  r   rR   iqrr  ra   ra   rb   r   k
  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   )rG   Z   )r  r   r   )r   r   r*   r%  )r  r  rz  ru   lineargٿrq   r`  T)rW   r<  rR   rV  )r[   dra   ra   rb   test_apip
  s   

zTestIQR.test_apic                 C   s.   t tg tj t ttdtj d S r  )r   rR   rV  rW   rX   r   r   ra   ra   rb   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"   rt   r   r?   r"   r   r%   rY  interpolationmidpointnearestr`  r  )r"   r#   r$   r$   )r#   r$   )r"   r$   r    )r"   r#   r+   rW  r   r    r#   r   r   r    )	rW   r<  r   rR   rV  r   rW  r   rh   r   ra   ra   rb   test_constant
  s    
 zTestIQR.test_constantc                 C   sL   t dd }tt|d d tt|d ttj|dddg d S )Nr   r  r   rt   Tkeepdims)rW   r   r   rR   rV  r   r  ra   ra   rb   test_scalarlike
  s   zTestIQR.test_scalarlikec                 C   s   t dd}tt|d ttj|ddt dd ttj|ddt d	d
 ttj|ddd ttj|ddd d S )Nr   r!   r#   r  r   r?   r#   r5   r   r!   r	  rW  r$  )rW   r   rU   r   rR   rV  r   rh   r  ra   ra   rb   test_2D
  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   rG   rW  r?   rM   r   )r    r   r   r`  r  r   i  r!   r#   r%   rH   r   r   r!   )r!   r   r   r    )r!   r   r    rH  )r   r>  )r   r!   r    r    r"   r   r   )rW   r  rz  dstackrR   rV  r   moveaxisZswapaxesr   r  rU   r
  ry   	AxisErrorrz   )r[   or{   qrZ  ra   ra   rb   r  
  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   )rG   r  g?)r   r  r   )r   r  <   )
rW   r   r   rR   rV  r   ry   rz   rX   r>  r  ra   ra   rb   test_rng
  s   
zTestIQR.test_rngc                 C   sz  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 jdkrdD ]	}tj||d qtttj|dd d S )Nr#   r"   r    r*   rY  r\  r  )r   P   )rt  r]  r!   r`  r_  r   r^  r+   z1.22.0)Zinverted_cdfZaveraged_inverted_cdfZclosest_observationZinterpolated_inverted_cdfZhazenZweibullZmedian_unbiasedZnormal_unbiasedrv   )	rW   r   r   rR   rV  r   __version__ry   rz   )r[   r{   r\   r  ra   ra   rb   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 )Nrk  F)r@   rd  ra   r    )r!   r#   rH   rW  )r%   rH   )r   r!   )r#   r%   r   r  )r   r   r    r!   rc  rl  )r%   Tr  )r!   r#   r   rH   )r   r   r%   rH   )r   r#   r%   r   )r!   r   r%   rH   )r   r   r%   r   )rW   r<  r   rR   rV  r  r  ra   ra   rb   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      .@rf  r%  rr   r%   rq   ru   ra  TrY   alwaysr   r&  r#   r   r    r0   )r    r+   r    Zbarfood)rW   r   rU   r   rR   rV  rX   warningscatch_warningssimplefilterrh   ry   rz   r  ra   ra   rb   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|  rf  r   rM  r%   rz  g=V^w@r	  r,   ra  Tr}  r~  r%  )ry  rs   r   )r@   ry  rs   r    gF7k?rq   r0   g	I1=@g      @rv   )rW   r   rU   r   rR   rV  r   rX   r  r  r  r   ry   rz   r  ra   ra   rb   
test_scale+  s<   



zTestIQR.test_scaleN)r   r   r   r   r[  r  rb  re  rg  r  rv  ry  r{  r  r  ra   ra   ra   rb   rU  i
  s    )#rU  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$ Zd%d& ZdS )'TestMomentsa  
        Comparison numbers are found using R v.1.5.1
        note that length(testcase) = 4
        testmathworks comes from documentation for the
        Statistics Toolbox for Matlab and can be found at both
        https://www.mathworks.com/help/stats/kurtosis.html
        https://www.mathworks.com/help/stats/skewness.html
        Note that both test cases came from here.
    r   r    r  )gp=
ף?g?߾?gD9?gQI?g}?5^INr  r>   c                C   sH   t |}|d urt ||}t|| |d u r|j}|j|ks"J d S r'  )rW   r   broadcast_tor   r>   )r[   rZ  expectr  r>   ra   ra   rb   _assert_equal_  s   

zTestMoments._assert_equalc                 C   s  t | j}t|d t | jd}t|d t | jd}t|dd t | jd}t|d t | jd}t|d t | jd	}t|d
 t | jg d}t|g d t | jd}t|d ttt j| jd t | jg d}t|g d t g }| j|t	j
t	jd t t	jg t	jd}| j|t	j
t	jd t jt	ddd}| j|g dt	jd t jg gdd}| j|t	j
dt	jd t jg gddgdd}| j|g dd t	d}t	j
|d< tt |dt	j
 tt j|ddd ttt j|dd ttt j|dd d S )Nrt   r   r   r   rG   r          ?r!   r"        @r   )r   r  r   r  333333?)r   r    r!   r  r=   r$  r?   rj  r  rz  )momentr@   r  )r  ro   r'   rq   rr   ru   rv   )rR   r  r  r	   r  r
   ry   rz   r  rW   rX   r   r   r   rW  r   r   r   r[   r\   r{   ra   ra   rb   test_momenth  sF   








zTestMoments.test_momentr>   zexpect, momentrW  r$  c                 C   s   t jd|}tj||d}| j|||d tjt |dd|d}| j||d|d tjt |d	d
|d}| j||d|d tjt |d	d |d}| j||d|d d S )Nr#   )r  r=   )r$   r#   r   )r@   r  r  r  ro  r    )r   r    r"   r#   ra   )rW   r  r  ri  rR   r  r  r  )r[   r>   r  r  r{   r\   ra   ra   rb   test_constant_moments  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    rM   r$  r   r%  r&  r  r   r   )
rW   r   rU   ri  rX  rX   rR   r  r   r
   )r[   r   mmra   ra   rb   test_moment_propagate_nan  s   
z%TestMoments.test_moment_propagate_nanc                 C   s   t | j}t|d t | j}t|dd t j| jdd}t|dd t | j}t|dd td}tj|d< tj	d	d
 t
t |tj W d    n1 sUw   Y  t
t j|ddd ttt j|dd ttt j|dd d S )Nrt   g7l*ҿrG   r   biasg2۠ۿro   r'   rT  rU  rq   rr   ru   rv   )rR   skewr  r	   testmathworksr  rW   r   rX   rW  r   ry   rz   r  ra   ra   rb   test_skewness  s    


zTestMoments.test_skewnessc                 C   s   t ttdd d S )NrG   rt   )r   rR   r  r   r   ra   ra   rb   test_skewness_scalar  s   z TestMoments.test_skewness_scalarc                 C   sz   t dddt}t j|d< t jdd tj|ddd	}W d    n1 s*w   Y  t j	j
|d
t jgdd d S )Nr&   r    rM   r$  rT  rU  r   r%  r&  r   r   r   )rW   r   rU   ri  rX  rX   rW  rR   r  r   r
   )r[   r   r  ra   ra   rb   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9ѿrG   rt              Fr  g,@r%   r   rN   r"   gؗҜ<r   )rW   repeatrR   r  rX  r   r[   r   ra   ra   rb   test_skew_constant_value  s   &z$TestMoments.test_skew_constant_valuec                 C   s   t | j}t|d t j| jdddd}t|dd t j| jddd}t|dd t | jdd}t|d td	}tj|d
< t	t |tj t
t j|ddd ttt j|dd ttt j|dd d S )N      r   r   fisherr  gO߻S@rG   gx|N@g=
ףp=?ro   r'   rq   rr   Gzru   rv   )rR   kurtosisr  r	   r  r  rW   r   rX   r   r   ry   rz   r  ra   ra   rb   test_kurtosis  s   



zTestMoments.test_kurtosisc                 C   s   t ttg dt d S )Nr   )r   typerR   r  rX  r   ra   ra   rb   test_kurtosis_array_scalar  s   z&TestMoments.test_kurtosis_array_scalarc                 C   sN   t dddt}t j|d< tj|ddd}t jj	|dt jgd	d
 d S )Nr&   r    rM   r$  r   r%  r&  g(\r   r   )
rW   r   rU   ri  rX  rX   rR   r  r   r
   )r[   r   r!  ra   ra   rb   test_kurtosis_propagate_nan  s   
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  rG   F)r  rt   r  r  )rW   r  rR   r  rX  r  ra   ra   rb   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_accuracyrW   rV   r
   r   rR   r  )r[   Z
tc_no_meanra   ra   rb   test_moment_accuracy  s   
z TestMoments.test_moment_accuracy)r   r   r   r   r  r  rW   r  r  r  r  r  r  r  r  r  r  r   r   r  r  r  r  r  r  r  r  r  r  r  r  ra   ra   ra   rb   r  O  s,    		-		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 )NrT  rU  r  r  r   r   	statisticr  r   r    r#   rG   3   it rx  ry  r   random_stater  r5   rq   rr   )g̈́^Bg/kCm?ru   rv   )r   rW   rW  r  rZ   rR   ttest_1sampr   r  X1r   T1_0P1_0r   X2T2_0P2_0T1_1P1_1T1_2P1_2normrvsrX   r   ry   rz   )r[   r`   tr   r   rJ  r{   ra   ra   rb   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   )	ry   rz   rR   r  r  r
   P1_1_lr  P1_1_g)r[   r  r   ra   ra   rb   test_1samp_alternativeO  s   z&TestStudentTest.test_1samp_alternativeN)r   r   r   rW   r   r  r  r  r  r  r  r  r  r  r  r  r  r  r  ra   ra   ra   rb   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$   r%   r&   r'   rG   r"         D@))rV   g     A@strict      >@)weakr  rG   r   )kind))r       F@r  )r        I@)rV   r  )
r   r    r!   r"   r"   r#   r$   r%   r&   r'   )
r   r    r!   r"   r"   r"   r#   r$   r%   r&   r  ))r  r  rV   r  r  r  g      N@)r  rV   r  r  )
r   r    r!   r#   r$   r%   r&   r'   rG   rH   r  
rG   r   r  r	  r  ru  F   rw  rX  r   r	  )r  r  r  )
rG   r   r  r	  r	  r	  r  ru  r  rw  )
rG   r   r  r  ru  r  rw  rX  r   n   r  ))r  ro   )rV   r5   )r  rt   )r  ro   ))r        Y@)rV   g     W@)r  g     V@)r  r  r  ))r  r   r  )rV   r   r  )rV   r   rt   )r   r    r!   r!   r"   r!   Zunrecognized)rR   Zpercentileofscorer   rW   r   ry   rz   )Zpcosr  r  r  ra   ra   rb   test_percentileofscore\  sl    
r  ZCase)f_obsf_expre   r@   chi2logmod_logcr)r"   r&   rI   r&   r"   r    r)   rI   r*   r&   r	  r   gfx(@)r    r   rI   r    r  r  r         ?g{T4@)r!   r#   r%   r'   r   r   r   c                   @   rl  )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 )NrO   r  r  re   r@   lambda_r   pearson)r  r  re   r@   )rW   r   r   Z	broadcastr  r   r  rZ   rR   power_divergencer
   	chisquaredistributionsr  sf)r[   r  r  re   r@   r  expected_statZnum_obsr   r`   statr   Z
expected_pra   ra   rb   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  re   r@   r  r  r  r  r[   casera   ra   rb   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  rW   r  r   r  r  r  re   r@   r  r  r  r  )r[   r  mobsra   ra   rb   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  rW   r7  r  	ones_likerV   r  r  r  r  r  r  r   rU   )r[   case0case1r  r  ra   ra   rb   r  7  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   rd   rn  r$  )r  rW   r7  r  r  r  rV   r  r  r   rR   r  r
   r   )r[   r  r  r  r  Zexpected_chi2re   r  r   Zstat0Zp0Zstat1p1ra   ra   rb   test_ddof_broadcastingQ  s   
z*TestPowerDivergence.test_ddof_broadcastingc              
   C   s   t  J tD ]>}| |j|j|j|jd|j | |j|j|j|jd|j	 | |j|j|j|jd|j
 | |j|j|j|jd|j qW d    d S 1 sQw   Y  d S )Nr  r  r  r  )r  r  power_div_empty_casesr  r  r  re   r@   r  r  r  r  r  ra   ra   rb   test_empty_casesm  s(   
"z$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  re   r@   rR   r  r   )r[   r  r  re   r@   r   rJ  ra   ra   rb   'test_power_divergence_result_attributes}  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 )NrG   r   r  r#   r   #   r   For each axis slice...rw   ru  r  r  r   )r  r  r@   g̑m@gUUU@gj^4;?g4;?)rW   r   ry   rz   rR   r  r
   )r[   r  r  r  r   ra   ra   rb   test_power_divergence_gh_12282  s   z2TestPowerDivergence.test_power_divergence_gh_12282N)r   r   r   r  r   r  r  r  r  r  r  ra   ra   ra   rb   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 )Nr  rw   rG   r   r  ru  r  )ry   rz   rR   r  ra   ra   ra   rb   test_gh_chisquare_12282  s   "r  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   r=   r    r  rf  )rW   r   rR   r  r
   )r1  r>   obsexpr  r   ra   ra   rb   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       rM   )rM   rM   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   r?   r   r  r  r   rA   )r@   r  )r!   r#   r$   r  rG   )r   r   r   r   r   r  )r    r"   r&   rG   r  )r  r   r   rT  rU  rO   ra   r  )rW   r   r  r  r  r  rR   r  r  r  matr   r   r  r  r  r   r  r   r   r   rW  r   r  rZ   ZMaskedArrayr  r  r  )r  r  r  Zexpected_chisqZ
expected_gr  Zchisqr   gZobs1Zexp1r`   Zempty3ra   ra   rb   test_chisquare_masked_arrays  sz   "

r  c                  C   s   t g d} d}t dt| d }t |  t ||   }t |||  }t | |fj}t g d	dd}|D ]!\}}t
j|d d df |d d df |d\}	}
t|	|d	d
 qAd S )N)r   rH   rE   rP   r#   rH   rG   r"   r&   rG   r%   r'   rH   r!   r$   r   r   r"   g*kqr   ) g      $g    @r  g     r@r  gffffffP@g       gLD@r  g      A@r   g     =@r  g     :@rt   g8@r)   gffffff7@gq=
ףp?g7@r   g333336@r*   g6@r	  gfffff6@r   g8@r5   g     A@ro   g     j@rM   r    r   r  g{Gzt?rf  )rW   r   r   r  r  r7  r  r7  r  rU   rR   r  r
   )r  Zbetar*  ZalphaZexpected_countsZtable4Ztable5r  r  r  r   ra   ra   rb   /test_power_divergence_against_cressie_read_data  s   	  
r  c                  C   s  t g dt g dt g dt g dg} t g dt g dt g dt g dg}t g d	t g d
t g dt g dg}tt| d | d | d | d d tt|d |d |d |d d tt|d |d |d |d d tttj|d |d  d}tj|  }t|| tt| d | d | d | d d tt|d |d |d |d d tttj|d |d  d S )N)g"~j?g^I+?gI+?gjt?gMbX9?gʡE?x&?-?g?r   gGz?g+?gv?g9v?)g~jt?gx?gOn?r  g"~j?n?gK7A`?r  g7A`?r   bX9?gZd;O?g1Zd?gK?)gy&1?gzG?g`"?g!rh?g'1Z?gZd;O?grh|?gjt?gʡE?r   gzG?gS?gJ4?gʡE?)gK7?gh|?5?gl?g/$?g#~j?r  Q?      ?g      ?r   r	  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#@r1   r\  g$@)g333333@g@g@r,   g@)r`  rd  r.   r   @)g!@g!@333333 @ffffff
@g333333"@r   r   r    r!   )gNt$@gBv?)g
__2@g5"]i2?)g\(\%@g+ԋ?r  )r   r   rR   Zfriedmanchisquarery   rz   r   mstats)rN  rO  rY  rJ  r   ra   ra   rb   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.autorE   c           	      C   s8   t j|d||d}t||g}tt|||d d S Nr  r   r  rA   )rR   kstestrW   r   r   	r[   r{   r   expected_statisticexpected_probr  rB   r  rl  ra   ra   rb   _testOneV  s   zTestKSTest._testOnec                 C   s@   t j|d||d}t j|t jj||d}tt|||d d S r  )rR   r  ks_1sampr  cdfr   rW   r   )r[   r{   r   r  rB   r  Zresult_1sampra   ra   rb   _test_kstest_and_ks1samp[  s   z#TestKSTest._test_kstest_and_ks1sampc                 C   s,   t ddd}d}t|d}t|| d S )NrM   r   r'   r  r  )rW   r  rR   r  r   r[   r{   rJ  r   ra   ra   rb   test_namedtuple_attributes`  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 )NrM   r   r'   r  r   
r  gQ?g333333g(\?gQ?g(\ſg{GzgHzG?g\(\gGzr   r  r  r   )rW   r  r  r  ra   ra   rb   test_agree_with_ks_1sampg  s   z#TestKSTest.test_agree_with_ks_1sampNr  rE   )r   r   r   r   r  r  r  r#  ra   ra   ra   rb   r  S  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  rE   c           	      C   s<   t j|t jj||d}t||g}tt|||d d S )Nr  rA   )rR   r  r  r  rW   r   r   r  ra   ra   rb   r  x     zTestKSOneSample._testOnec                 C   s0   t ddd}d}t|tjj}t|| d S )NrM   r   r'   r  )rW   r  rR   r  r  r  r   r  ra   ra   rb   r  }  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 )NrM   r   r'   r  g|N?g7.s?r   r   g{CTp?g M<b*?r!  gZL?g86J4?r   g+?r  r"  r   gHD?gr?rW   r  r  r  ra   ra   rb   test_agree_with_r  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:)rx  r   r  r  ghх?g7?asympr"  r   g^h?r   gv!ԉ}?g*z)?)rR   r  r  r  r  ra   ra   rb   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: 1.5rw   r*   rM   ))r  r   Tr   )r  皙?Tr   )r  r   Trt   )r  gTrt   )r         ?Trt   )r   r-  Fr   )r   r)   Tgb?)r   r)   FgiNq>)r         ?Tgv(?)r   r  TgT	?)@  g\(\?Frt   )r/        ?Fg(>)r/  gQ?Fg@c?)r/        ?FgX+ʳP?r  r!   )r  )r   rW   r  r   rX   ry   rz   r   r   checkintrX  bool)r[   Zdatasetra   ra   rb   test_ks1samp_allpaths  s    z%TestKSOneSample.test_ks1samp_allpathsNr$  )	r   r   r   r   r  r  r(  r+  r5  ra   ra   ra   rb   r%  u  s    
r%  c                   @   s   e Zd ZdZd*ddZdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zejjdd Zejjdd Zdd Zdd Zdd Zejjdd Zejjdd  Zd!d" Zejjd#d$ 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 )Nr"  )rR   ks_2samprW   r   r   )	r[   rN  rO  r   r  r  r  r  rl  ra   ra   rb   r    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   rt   )r  r   ra   ra   rb   	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   rW   r   r  r[   r  Zdata1pZdata1mr  ra   ra   rb   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	  r9  r  r  r)   g?r   g?r   r  皙?r  rI  r  r   r;  r<  ra   ra   rb   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?r'  )r[   x100Z	x100_2_p1Z	x100_2_m1ra   ra   rb   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);?rt   r   r'  )r[   rA  Zx110Z
x110_20_p1Z
x110_20_m1ra   ra   rb   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$   r=   r   rG   r%   r  g      ?g^dH?r   gQl6y?r   rt   r   gVdEVdE?g(f^?g!?gii?g+ ϖ?)rW   r   r3  r  )r[   Zx2233Zx3344Zx2356Zx3467ra   ra   rb   testRepeatedValues  s   222z#TestKSTwoSamples.testRepeatedValuesc                 C   s   t g d}| ||d ddd | ||d ddd | ||d dd	d | ||d
 ddd | ||d
 ddd | ||d
 dd	d | ||d
 ddd | ||d
 dd	d | ||d
 ddd d S )Nr:  r   r  r   r   r   r  r   rt   r)   r;  )r[   r  ra   ra   rb   testEqualSizes  s   zTestKSTwoSamples.testEqualSizesc              	   C   s  d\}}d| | d d }t dd|| }t dd|}| j||dd| | ddd	 | j||dd| | dd
d	 | j||dd| | dd
d	 | j||dd| | dd
d	 t ,}|td | j||dd| | ddd	 | j||dd| | ddd	 W d    n1 sw   Y  tjdd#}td | j||dd| | ddd	 t	|td W d    d S 1 sw   Y  d S )N)rv  iX  r   r    r   r   r  g     @@r  r"  r*  r   g2JE?r   g     @@gsW\nc?Bks_2samp: Exact calculation unsuccessful. Switching to mode=asymp.r  Tr}  r~  
rW   r  r  r   r  rZ   r  r  r  rS  r[   n1n2deltar{   r\   r`   r  ra   ra   rb   testMiddlingBoth  s$    
"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@r*  r"  r  r   gZ?r   g     @@g@J?rF  r  Tr}  r~  rG  rH  ra   ra   rb   testMediumBoth&  s$    
"zTestKSTwoSamples.testMediumBothc                 C   s   d\}}|d }d| | d d }t dd|| }t dd|}| ||dd	| d
 | ||dd| d | ||dd	| d d S )N)'  r  r  r   r    r   r   r   r  g    `@g      <r   g     @g򼉷?r   gimb:r'  )r[   rI  rJ  lcmrK  r{   r\   ra   ra   rb   	testLarge;  s   zTestKSTwoSamples.testLargec                 C   s\   t jd t jjdd}t jjddd }| j||dddd	d
 | j||ddddd
 d S )N@ i  ri  i  r*   r  gC?      <r*  r"  r  rW   r  r  rz  r  r   ra   ra   rb   test_gh11184F  s
   zTestKSTwoSamples.test_gh11184c                 C   s   t jd t jjdd}t jjddd }| j||dddd	d
 | j||ddddd
 | j||dddd	d
 | j||dddd	d
 d S )NrR  rO  ri  i'  r*   r  g 	_r!?gAD5r*  r"  rS  r  r   gלN#y7r   gvqw?rT  r   ra   ra   rb   test_gh11184_biggerN  s   z$TestKSTwoSamples.test_gh11184_biggerc                 C   s   t jd tdddD ]3}t jj|d}t jj|d dd}tj||dd	j}tj||d
d	j}t|d|  t|d|  qd S )NrR  r   i.  ri  rG   r)   )r   rx  r  r"  r*  r!   )	rW   r  r  r.  rz  rR   r7  r  r   )r[   r{   Zvals1Zvals2r  r*  ra   ra   rb   test_gh12999X  s   zTestKSTwoSamples.test_gh12999c              	   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)rO  i*  r  r   r    r   r   r  g     @gkHY?r*  r"  gLɔ.?r  r  r   g.LbG2?r   ro   gr?֎?rF  )rW   r  r  r   r  rZ   )r[   rI  rJ  rP  rK  r{   r\   r`   ra   ra   rb   testLargeBothd  s   "zTestKSTwoSamples.testLargeBothc                 C   s$   d}t ddgdg}t|| d S )Nr  r   r    r!   )rR   r7  r   r[   rJ  r   ra   ra   rb   testNamedAttributesv  s   z$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_outer_prob_inside_methodr   r   i  rM  iK  r  )scipy.stats._stats_pyr[  r\  ry   FloatingPointError)r[   r[  r\  ra   ra   rb   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  )ry   rz   rR   r7  r   ra   ra   rb   test_argument_checking  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    rt   r   )r   rx  ry  r   r*  r  r   r  N)rW   r  r  rR   uniformr  r7  )r[   rI  rvs1rvs2ra   ra   rb   test_gh12218  s   zTestKSTwoSamples.test_gh12218N)r  )r   r   r   r   r  r8  r=  r?  rB  rC  rD  rE  r  r  r  rL  rN  rQ  rU  rV  rW  rX  rZ  r_  r`  re  ra   ra   ra   rb   r6    s6    






r6  c               	   C   sP  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dt |d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*d+ }t  |}t j|d d d,d-f< t j|d d d.d/f< tj||ddd\} }tj||dddd0\}}t|| d1d2 t||| |dd1d2 tj||dddd0\}}t|| d1d2 t||| |dd1d2 d S )3N)gu?gȵI?r   r   g)\(?gKX@r   r?   rT  rU  r  r  r   r  r  r    rH  r  r   r   r@   r   r   ra  r#   rG     r  rv  r  )ry  r   r  rq   rr   )ghm#1?gry̧?ru   rv   r  r  rM   rm  r  )r&   r!   r    r!   r"   c                 S   4   | dk r|dks| dkr|dkr|d S d|d  S Nr   r   r   r    r   ra   r  r   altra   ra   rb   convert      ztest_ttest_rel.<locals>.convertr   r  r   r   r  r  rf  )!rW   r  r   rR   	ttest_relr   r  r   rW  r  rZ   r   r  r   ro  absr   r  rp  ry   rz   r
   r  RandomStater  r  rX   r   r   rW  r   rU   	vectorize)trr  tprrc  rd  rvs1_2Drvs2_2Dr  r   r`   rJ  r   rvs1_3Drvs2_3Drt  r{   r\   ananrm  	converterra   ra   rb   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	  rq   rr   r   r   r   )r>  grh|?-C6?)rW   rX   rR   ro  r
   r  r  r{   r\   r  r  r3ra   ra   rb   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 r'  )rR   ro  r  	_stats_pyTtest_relResultr   rW   rX   r  ra   ra   rb   #test_ttest_rel_empty_1d_returns_nan!     r  zb, expected_shape)r   r#   r   rf  )r   r   r   rC  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   rM   r?   r6  )rW   r  rR   ro  r  r  r  rh   rX   r   r  r  r   Zexpected_shaper   r  Zexpected_valuera   ra   rb   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   r?   r#   r   )rW   r  rR   ro  r  r  r  r   r  r  r  r   r   r  ra   ra   rb    test_ttest_rel_nonaxis_size_zero8     

r  c                 C   s   ddd}|| |||| S )Nr   c                 S   s<   t | } t j| |d}t j| |dd}| j| }|||fS )Nr?   r   r  )rW   r   rV   rj   r  )r{   r@   Zmurj   nobsra   ra   rb   _statsF  s
   


z_desc_stats.<locals>._statsrj  ra   )rN  rO  r@   r  ra   ra   rb   _desc_statsE  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dt |d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
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$dt jgdt jgf W d    n	1 s~w   Y  t j|d d d d dd%f< t j|d d d d d&d'f< d(d) }t  |}tj||ddd\} }tj||dddd*\}}t|| d+d, t||| |dd+d, tj||dddd*\}}t|| d+d, t||| |dd+d, d S )-N	ru?g8Mѱ?r   r   r#   i   r   r?   rT  rU  r  r  r   r  r    rH  r  r   r   r   r   rf  ra  rG   rg  r  rv  rq   rr   )guͷ?g*,?ru   rv   r  r  rM   rm  r   r$   rI   c                 S   ri  rj  ra   rk  ra   ra   rb   rm    rn  ztest_ttest_ind.<locals>.convertr  r  rf  )!rW   r  r   rR   	ttest_indr   ttest_ind_from_statsr  r  r   rW  r  rZ   r   r  ro  r   rp  r   r  rp  ry   rz   r
   r  rq  r  r  rX   r   r   rW  rr  )rs  r  rt  rd  rc  ru  rv  r  r   argsr`   rw  rx  rt  r{   r\   ry  rm  rz  ra   ra   rb   test_ttest_indO  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	j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   rG   r   r    r#   rv  rw  r&   goʡ?g/$?)g-?r
  gzG?g(\?gRQ?r@   N)r  r@   	equal_varTrM   )r@   r  r   z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r@   r  r   r   )r@   r  permutationsr  r#   )updaterR   r  r   )r[   r   r   r  p_dZ	options_a	options_pZstat_ar  Zstat_pr  ra   ra   rb   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   )r@   r  r   r   r   r  r)   
rW   r  r  r  r  rR   r  r   r  r  )r[   Nr   r   r  res_g_abres_g_bares_l_abres_l_bares_2_abZres_2_bar  ra   ra   rb    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  )rW   r  r  r  rR   r  r   r  )r[   r  r   r   r  rP  rQ  rk  ra   ra   rb   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)
rW   r  r  r  r  r  r   r   r  r   )r[   r   r   r  Znanbr  Zmat_permr  Zt_statZn_uniquera   ra   rb   !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!   rM   r   )r@   r  r  r   r   r   r   r  )	r[   r  r   r   r  r  r  r  r  ra   ra   rb   #test_ttest_ind_randperm_alternativeR  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   )
rW   r  r  r  r  rR   r  r   r  r
   )	r[   r  r   r   r  r  r  r  r  ra   ra   rb   $test_ttest_ind_randperm_alternative2m  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    d S 1 sw   Y  d S )Nr   r  r#   )r#   r   )r&   r    )r'   r!   r   r  ru   rr   r  rw   rp   r%  r?   )rW   r  r  r  rX   r  ry   rz   rR   r  r   rY   rZ   r  anyr   r  r  r
   r
  )	r[   r  r   r   r  r   r`   r  rQ  ra   ra   rb   $test_ttest_ind_permutation_nanpolicy  s6   




$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 berw   rN   r  r*   z'hello' cannot be usedr   r  r  )ry   rz   rR   r  rq  b2r   r   r   ra   ra   rb   'test_ttest_ind_permutation_check_inputs  s   "zCTest_ttest_ind_permutations.test_ttest_ind_permutation_check_inputs),r   r   r   r  rW   r  r  r7  r   r   r   rq  r  rr  Zb3rR   r  r  rU   r  rc  rd  r  Zp_d_genZp_d_bigtolistrq  paramsr   rx  r   Zdefault_rngr  r  r  r  r  r  r  r  r  r  r  r  ra   ra   ra   rb   r    sZ    ,(


*2

*
 $r  c                   @   s   e Zd Zej ejjddddddii gg ddejjd	d
dgd	dgddd Zejjddddddii gg ddejdddgdd ZdS )Test_ttest_ind_commonkwdsr   r   r  trimr  )r  r  basic)Zidsr  TFZunequal_varc                 C   s  t jd t jdddddd}t jddddd}tj||fd	d
i|}d\}}}||d d |d d dd d f }	|d d dd d |d d f }
tj|	|
fd	di|}t|j|d d ||d d f |j t|j|d d ||d d f |j t 	t 
|dd
d}t 	t 
|dd
d}|jd d }t |}t |}tdd |D  D ] }|| }|| }tj||fd	di|}|j||< |j||< qt||j t||j d S )Nr   r#   r"   r%   r   r$   r&   r    r@   rN   )r    r!   r   r>  r   r   r   r   r    r   rM   r#   r   r"   r   r   r   c                 s       | ]}t |V  qd S r'  r-  r(  ra   ra   rb   	<genexpr>      z=Test_ttest_ind_common.test_ttest_many_dims.<locals>.<genexpr>)rW   r  r  r  rR   r  r   r  r  rp  tiler  rW  r   r
   )r[   r  r  r   r   r   r*  r+  r!  rq  r  rQ  r{   r\   r  Z
statisticsZpvaluesindicesZxiyirk  ra   ra   rb   test_ttest_many_dims  s6   
 


z*Test_ttest_ind_common.test_ttest_many_dims)r  r  r  r@   rM   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 )NrG   )r#   r!   rG   ri  rX  r   r    r!   r$   r?   rT  rU  z'invalid value encountered in less_equalr@   )rW   r  randintri  rX   r  r7  r   rW  r  rZ   rR   r  r  r   r  )
r[   r  r@   r   r   rl  r`   r   Zp_nansZstatistic_nansra   ra   rb   test_nans_on_axis  s"    
z'Test_ttest_ind_common.test_nans_on_axisN)	r   r   r   r  r  r  r  r  r  ra   ra   ra   rb   r    s$    #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$ Zd%S )&Test_ttest_trimr   r,  r"  g@9(?er  )r-  g33333`@rI   g33333^@g(\P@r_  gfffffڇ@gBM)u?g]@gyd?g	s5v@g{Gz?r!  r!  r,  r   ffffff?r   rb  rb  r   r  r  r/   g@r  r,   r)   rb  g333333@r`  r  g@r_  gn4aƂg?^)g,
gm?giI@gE|x!gvwQ?glfPg_)gXG~?g=n@g8$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rR   r  r
   )r[   r   r   r  rs  r  r  r  ra   ra   rb   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)rI   rE   r[  r   r   ,   rI   rE   r[  r   r   r  )rP      rE   rI   r     r\  rP   r  rE   rI   r  r  r\  g
ףp=
?Fr  gRbv?re  r   gOi?r  r[   r   r   r  r  ra   ra   rb   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
        r  r  r  r  gR?绽|=r   g^Nr  r  ra   ra   rb   test_equal_varK  s
   zTest_ttest_trim.test_equal_varz	alt,pr,tr))r   gjΜ>5?r  )r   gn4aƂW?r  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')
        r  r  r  F)r  r  r   r  r   Nr  )r[   rl  r  rs  r   r   r  r  ra   ra   rb   test_alternativese  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.rw   r   r    r!   r  )r  r  z4not supported by permutation tests or trimmed tests.rq   )r  rs   )ry   rz   rR   r  rW   rX   )r[   rx   ra   ra   rb   test_errors_unsupportedy  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.rw   r   r    r  )ry   rz   rR   r  )r[   r  rx   ra   ra   rb   test_trim_bounds_error  s   "z&Test_ttest_trim.test_trim_bounds_errorN)r   r   r   r  r  r  r  r  r  r  r  r  r  ra   ra   ra   rb   r    s<    
#

r  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    rN   r?   r  )N.r  c                 s   r  r'  r-  r(  ra   ra   rb   r    r  z.test__broadcast_concatenate.<locals>.<genexpr>)rW   r  r  r  r   r  r   r  )
r   r   r  indexr*  r+  r!  lr0  r1  ra   ra   rb   test__broadcast_concatenate  s   .8r  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dt|ddddd\}}tt|t| tt|| t|jd tt|ddt|d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 sQw   Y  d S )!Nr   r  r  r  Fr  r  r   gJ?g*ʿr  g@[?gωұ?ghG?r   r   r   r#   r  r   r  r?   r  r  r    rH  r  r  rT  r  rM   rm  )rR   r  r   r  r  rW   r  r   r  r   ro  r   rp  r   r  rp  r   rW  rX   rW  )r   r   r  rs  r  r   Z	tr_uneq_nZ	pr_uneq_nrt  Zrvs3rd  rc  ru  rv  r  rJ  r   rw  rx  ry  ra   ra   rb   test_ttest_ind_with_uneq_var  s   






$r  c                  C   s   t jdddg} g d}tj| |dd}tj|| dd}t|j|j dd t|j|jdd t|| d	d  }t||dd t|d
dd d S )Nr	  r   r  r|  rq   rr   r   r   r   )g8HgW@?)rW   rX   rR   r  r
   r  r  r~  ra   ra   rb   test_ttest_ind_nan_2nd_arg  s   
r  c                  C   r  r'  )rR   r  r  r  Ttest_indResultr   rW   rX   r  ra   ra   rb   #test_ttest_ind_empty_1d_returns_nan  r  r  c                 C   r  r  )rW   r  rR   r  r  r  r  rh   rX   r   r  r  r  ra   ra   rb   test_ttest_ind_axis_size_zero&  r  r  c                  C   r  r  rW   r  rR   r  r  r  r  r   r  r  r  r  ra   ra   rb    test_ttest_ind_nonaxis_size_zero5  r  r  c                  C   r  )N)r   r%   r   r  r   r?   r  r  r  ra   ra   rb   2test_ttest_ind_nonaxis_size_zero_different_lengthsB  s   

r  c                  C   sr   t ddgt ddg} }t ddgt ddg}}t ddgt dd	g}}t| ||||| d S )
Nr   r    r!   r"   r#         r      )rW   r   rR   r  )Zmean1Zmean2Zstd1Zstd2Znobs1Znobs2ra   ra   rb   test_gh5686P  s   r  c               	   C   s.   t jdddddddd} t| tjtjg d S )Nr   r$   Fr  )rR   r  r   rW   rX   r  ra   ra   rb   %test_ttest_ind_from_stats_inputs_zeroX  s   r  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4 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    n	1 sw   Y  tj|ddddddf< t j|d d d d d d f ddd\}}t j|d d d d d d f dddd\}
}|||d}t|| t|
| t j|d d d d d d f dddd\}
}|||d}t|| t|
| d S )N)rG   r   r   r#   rG   rw  r   r?   r   rE   rA   rn  r    r  c                 S   ri  rj  ra   rk  ra   ra   rb   rm    rn  z%test_ttest_1samp_new.<locals>.convertr   r   r   rT  r  rM   r!   r"   r&   rq   rr   r  )rR   r  r  r  rW   r<  r   r   r   r  rp  r   rr  r
   rW  rX   r   )rI  rJ  Zn3Zrvn1r  r  r  p2r  p3r  r   rm  rz  rs  r  Zpcry  ra   ra   rb   test_ttest_1samp_new^  sh   
4*4*4*
&*

*

$* 


 

r  c                   @   s<   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd ZdS )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 )NrT  rU  r  r  r   )r  r  rt   rJ   rA   r  )r   rW   rW  r  rZ   rR   describer   r   r  r   )r[   r`   r1  r  r0  r  skkurtra   ra   rb   test_describe_scalar  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?r  r  r  )r   r   r   r   H,p ?r"   TUUUUUrJ   rA   r   r?   ro   r'   )r'   )rt   rc  r  r0   rt   gGzrq   rr   ru   rv   )rW   r7  r<  rh   r   rR   r  r   r   r  r   rX   ry   rz   r[   r{   ZncZmmcZmcZvcZskcZkurtcr1  r  r0  r  r  r  ra   ra   rb   test_describe_numbers  sH   
















z"TestDescribe.test_describe_numbersc                 C   s"   t td}d}t|| d S )Nr#   )r  minmaxrV   varianceskewnessr  )rR   r  rW   r   r   )r[   rZ  rJ  ra   ra   rb   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  r  r    r#   r  r  r  )Q?r  r  r  r  r"   r  r   rd   r   rf  rJ   rA   )
rW   r7  r<  rh   r   rR   r  r   r
   r   r  ra   ra   rb   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  r  r    )r   )r   r	  r  ga+?gE,p ?gUUUUUUr?   rJ   rA   )rW   r7  r<  rh   rR   r  r   r  r   r  rV   r  r   r  r  )	r[   r{   Ze_nobsZe_minmaxZe_meanZe_varZe_skewZe_kurtr   ra   ra   rb   test_describe_axis_none  s   z$TestDescribe.test_describe_axis_nonec                 C      t ttjg  d S r'  )ry   rz   rR   r  r   ra   ra   rb   test_describe_empty     z TestDescribe.test_describe_emptyN)	r   r   r   r  r   r  r  r  r	  ra   ra   ra   rb   r    s    )r  c                  C   sf  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j|dd\}}tj|ddd\}}tj|dd
d\}}t||dd t||dd t|d|d  dd t||d dd tjdd t ttj|
d d W d    n	1 sw   Y  t ttj|
d!d t ttjttd"d!d	 td#}
tj|
d$< tjdd tt|
tjtjf W d    n	1 sw   Y  d%}ttj|
dd| tj|dd&< tj|d d dd\}}tj|d d ddd\}}tj|d d dd
d\}}t||dd t||dd t|d|d  dd t||d dd t ttj|
d d t ttj|
d!d t ttjttd&d!d	 tjdd tt|
tjtjf W d    n	1 srw   Y  d'}ttj|
dd| t ttj|
d d t ttj|
d!d g d(}td)d* t|D }
tt|
d d+k d, d S )-Nr  )gMc@gO?g{\᛿)g2$?gגe`?gǃK@?r   r    )r>  rM   r   r   r    r!   r>  rM   r   r   r    r!   r>  rM   r   r   r    r!   r>  rM   r   r   r    r!   r  r   r   r   rO  {   )r   r   r  rt   r#   rA   r   r  r?   ro   r'   rT  rU  )geGK?gZ^<ý?rq   rr   rG   r   r  r   r   r  ru   rv   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 ra   )rW   rh   )r)  r*  r  ra   ra   rb   r,  w  s    z'test_normalitytests.<locals>.<listcomp>r9  T)ry   rz   rR   skewtestkurtosistestZ
normaltestrW   r   r   r   Zskewnormr  r  r   Zlaplacer   rX   rW  r   r
   r  r.  r9  	enumerater   )Z	st_normalZst_skewZst_kurtZ	pv_normalZpv_skewZpv_kurtZpv_skew_lessZpv_kurt_lessZpv_skew_greaterZpv_kurt_greaterr{   rJ  rp  r   rq  rl  r  r   ZzlplZzgZpgr
  ra   ra   rb   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    rG   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)Zuse_continuityr   )rR   ranksumsr{   r\   r  mannwhitneyur
   )r[   r   rP  rQ  ra   ra   rb   test_ranksums_result_attributes  s   z,TestRankSums.test_ranksums_result_attributesc                 C   s   t | j| j}t|d d S )Nr  )rR   r  r{   r\   r   r[   r   ra   ra   rb   test_ranksums_named_results  r2  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'rw   rv   r   )ry   rz   rR   r  r{   r\   r   ra   ra   rb   test_input_validation  s   "z"TestRankSums.test_input_validationN)r   r   r   rW   r  r  r  r{   r\   r  r  r  r  r  r  ra   ra   ra   rb   r  {  s    
r  c                   @   $   e Zd Zdd Zdd Zdd ZdS )TestJarqueBerac                 C   s  t jd t jddd}t jdd}t jdd}tt|d t|j	 tt|d t|j
 tt|d t|j	 tt|d t|j
 tt|d t|j	 tt|d t|j
 tt|d t|d k tt|j
t|j
k tt|d t|d k tt|j
t|j
k tt|d t|d k tt|j
t|j
k d S )Nr)  r   r   rA  rO  )rW   r  r  rz  r  Zrayleighr   rR   jarque_berar  r  r   r[   r{   r\   r  ra   ra   rb   test_jarque_bera_stats  s        z%TestJarqueBera.test_jarque_bera_statsc                 C   s   t jd t jddd}tt| }\}}tt| }\}}t|dd }\}	}
t	||  koM|	  koM|j
  koM|j
  koM|j
kn   t	||  kop|
  kop|j  kop|j  kop|jk d S    d S )Nr)  r   r   rA  r    P  )rW   r  r  rz  rR   r  r  r  rU   r   r  r  )r[   r{   Zjb_test1ZJB1r  Zjb_test2ZJB2r  Zjb_test3ZJB3r  ra   ra   rb   test_jarque_bera_array_like  s   @Jz*TestJarqueBera.test_jarque_bera_array_likec                 C   r  r'  )ry   rz   rR   r  r   ra   ra   rb   test_jarque_bera_size  r
  z$TestJarqueBera.test_jarque_bera_sizeN)r   r   r   r   r"  r#  ra   ra   ra   rb   r    s    r  c                  C      t d} tttj|  d S )Nr  )rW   r   ry   rz   rR   r  r  ra   ra   rb   test_skewtest_too_few_samples     
r%  c                  C   r$  )Nr  )rW   r   ry   rz   rR   r  r  ra   ra   rb   !test_kurtosistest_too_few_samples  r&  r'  c                   @   sP   e Zd Zg dZg dZdZdd Zdd Zdd	 Zd
d Z	dd Z
dd ZdS )TestMannWhitneyU)g	U3@g^3@gt3@g]o5@gzS4@gt< 4@gM	X3@gXmCk4@gLo&3@gfɘ2@g{m;^3@ga A$|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@rE   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?r6   glPz.?rR   r  rS   Yr   r   r	   r7   	r[   u1r  u2r  u3r  Zu4Zp4ra   ra   rb   test_mannwhitneyu_one_sided  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.?r6   rR   r  rS   r,  r   r	   r7   r[   r.  r  r/  r  ra   ra   rb   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?r6   g22?r+  r-  ra   ra   rb   &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?r6   r2  r3  ra   ra   rb   &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   )r7  g&)E?r  )r7  g?չ?)rW   r   r
   rR   r  r   ra   ra   rb   test_mannwhitneyu_ones  s   z'TestMannWhitneyU.test_mannwhitneyu_onesc                 C   s&   d}t j| j| jdd}t|| d S )Nr  r   r   )rR   r  rS   r,  r   rY  ra   ra   rb   #test_mannwhitneyu_result_attributes?  s   z4TestMannWhitneyU.test_mannwhitneyu_result_attributesN)r   r   r   rS   r,  r7   r1  r4  r5  r6  r8  r9  ra   ra   ra   rb   r(    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  ra  gffffff@g333333@ffffff@g333333@r,   r  皙	@r   r  r  r+   r  gffffff@ @333333?r=  r*   ?r>  r  r  r,  r>  r   rJ  r)   r  r  r   r   g/"?r#   rI  )r   rR   Zpointbiserialrr   )r{   r\   rJ  r   ra   ra   rb   test_pointbiserialF  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&>ڿrA  r@  )5@㪪@gIrC  rB  r    r&   rA   rH   )r#   rH   r'   r!   r    r    )g_v	@g1%?g"u?gZӼ?g!u @gq&@r"   )
rW   r   rR   Zobrientransformr
   r   r   r   r.  r  )rN  r  rl  rO  r  r   r   r  r  valuesrepsr  Ztransformed_valuesra   ra   rb   test_obrientransformV  s:   




rF  r   c                 C   s0   t j| |||d}t|||d t|j| d S )N)r@   r>   weightsrf  )rR   gmeanr
   r   r>   )
array_liker  r@   r>   r   rG  r{   ra   ra   rb   check_equal_gmean  s   rJ  c                 C   s.   t j| ||d}t|||d t|j| d S )N)r@   r>   rf  )rR   hmeanr
   r   r>   )rI  r  r@   r>   r   r{   ra   ra   rb   check_equal_hmean  s   rL  c                   @   rT  )TestHarMeanc                 C   s0   g d}d}t || g d}d}t || d S )Nr  =b#A@r   gQ?rL  r[   r   r  ra   ra   rb   test_1d_list  s   
zTestHarMean.test_1d_listc                 C   s    t g d}d}t|| d S )Nr  rN  rW   r   rL  rP  ra   ra   rb   test_1d_array  s   zTestHarMean.test_1d_arrayc                 C   s&   t ddg}d}tt|| d S )Nr   r   rt   )rW   r   r   rR   rK  rP  ra   ra   rb   test_1d_array_with_zero  s   z#TestHarMean.test_1d_array_with_zeroc                 C   s    t g d}tttj| d S )N)r   r   rM   )rW   r   ry   rz   rR   rK  r  ra   ra   rb   !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rG   r   r  r	  r  ru  r  rw  rX  r   r  x   gmWUC@rO  rP  ra   ra   rb   test_2d_list     zTestHarMean.test_2d_listc                 C   s.   g dg dg dg}d}t t|| d S rW  )rL  rW   r   rP  ra   ra   rb   test_2d_array  s   zTestHarMean.test_2d_arrayc                 C   6   g dg dg dg}t g d}t||dd d S NrX  rY  rZ  )U|ϊ6@g4.=C@JQ6LsJ@E]P@r   r?   rR  rP  ra   ra   rb   test_2d_axis0     zTestHarMean.test_2d_axis0c                 C   <   g dg dg dg}t g d}ttj|dd| d S )NrG   r   r  r	  rY  rZ  )ra  rt   rb  rc  r   r?   rW   r   r
   rR   rK  rP  ra   ra   rb   test_2d_axis0_with_zero  r&  z#TestHarMean.test_2d_axis0_with_zeroc                 C   r_  NrX  rY  rZ  )g3333333@O@y@Y@r   r?   rR  rP  ra   ra   rb   test_2d_axis1  re  zTestHarMean.test_2d_axis1c                 C   rf  )Nrg  rY  rZ  )rt   rk  rl  r   r?   rh  rP  ra   ra   rb   test_2d_axis1_with_zero  r&  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   rL  rP  ra   ra   rb   test_2d_matrix_axis0  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 rj  )r   r  rL  rP  ra   ra   rb   test_2d_matrix_axis1  s   z TestHarMean.test_2d_matrix_axis1N)r   r   r   rQ  rS  rT  rU  r\  r^  rd  ri  rm  rn  ro  rp  ra   ra   ra   rb   rM    s    
rM  c                   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	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  rf  )rJ  r   rP  ra   ra   rb   rQ    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  rr  r   r  r  r=   )rW   r   rJ  r   r   rP  ra   ra   rb   rS    s   

zTestGeoMean.test_1d_arrayc                 C   rV  NrX  rY  rZ  g/,$qJ@rJ  rP  ra   ra   rb   r\    r]  zTestGeoMean.test_2d_listc                 C   s,   g dg dg dg}d}t t|| d S rs  )rJ  r   rP  ra   ra   rb   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 
NrX  rY  rZ  )g4@A@g5H@g`8|wЭN@gm~&+R@r   r?   r   r  r@   r   rW   r   rJ  rP  ra   ra   rb   rd    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 NrX  rY  rZ  )gD" 6"6@gcP@g
ҧZ@r   r?   r   r  r  r  rv  )rW   r   rJ  r   r[   r   r  r  ra   ra   rb   rm    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 ru  )r   rJ  r   rR   rH  rP  ra   ra   rb   ro    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 rx  )r   r  rJ  r   r   ry  ra   ra   rb   rp    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  rf  )r   rJ  rP  ra   ra   rb   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
rG   r   r  r	  r  ru  r  rw  rX  r   rt   rT  r  )rW   rW  rJ  rP  ra   ra   rb   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{  rt   rT  )Zdivide)rW   r   rW  rJ  rP  ra   ra   rb   test_1d_array03  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)
rG   r   r  r	  r  ru  r  rw  rX  rM   rT  rU  )rW   rX   rW  rJ  rP  ra   ra   rb   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$   r"   r!   ro  GZ*oG8@h㈵>rG  r   rt  )r[   rG  r   r  ra   ra   rb   test_weights_1d_listA  s   z TestGeoMean.test_weights_1d_listc                 C   s4   t g d}t g d}d}t|||dd d S )Nro  r  r  r  r  rw  r[   r   rG  r  ra   ra   rb   test_weights_1d_arrayI  s   z!TestGeoMean.test_weights_1d_arrayc                 C   s>   t g d}t jjg dg dd}d}t|||dd d S )NrL  )r    r#   r$   r"   r!   r#   )r   r   r   r   r   r   r  r  r  r  )rW   r   r  rJ  r  ra   ra   rb   test_weights_masked_1d_arrayQ  s   z(TestGeoMean.test_weights_masked_1d_arrayN)r   r   r   rQ  rS  r\  r^  rd  rm  ro  rp  rz  r|  r}  r~  r  r  r  ra   ra   ra   rb   rq    s     

rq  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 r'  )rR   gstdarray_1dr
   gstd_array_1dr[   gstd_actualra   ra   rb   rS  `  s   z,TestGeometricStandardDeviation.test_1d_arrayc                 C   s    t t| j}t|| j d S r'  )rR   r  r  r  r
   r  r  ra   ra   rb    test_1d_numeric_array_like_inputd     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 inputrw   z3This should fail as it can not be cast to an array.)r  r   rz   rR   r  r   ra   ra   rb   ,test_raises_value_error_non_array_like_inputh  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 valuerw   r   r  r   rz   rR   r  rW   r   r  r   ra   ra   rb   "test_raises_value_error_zero_entryl     "zATestGeometricStandardDeviation.test_raises_value_error_zero_entryc                 C   r  )Nr  rw   rM   r  r   ra   ra   rb   &test_raises_value_error_negative_entryp  r  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 valuerw   )	r  r   rz   rR   r  rW   r   r  r   r   ra   ra   rb   !test_raises_value_error_inf_entryt  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!   r?   r"   )r   rW   rX   rR   r  r
   )r[   r   r  ra   ra   rb   test_propagates_nan_valuesx  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 <= 0rw   rd   )r  r   rz   rR   r  r  r   r   ra   ra   rb   )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 )Nr?   )rR   r  array_3dr
   r  r  ra   ra   rb   test_3d_array  r  z,TestGeometricStandardDeviation.test_3d_arrayc                 C   s"   t j| jdd}t|ddg d S )Nra  r?   g~d@g<
?)rR   r  r  r
   r  ra   ra   rb   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   r?   )gĶ?@gQӫ@g֌@gן7R@)g%Ȁ@ge@gv6B5 @g _?)gE ?gީ?gk̊Y?g%:?rR   r  r  rW   r   r
   r[   r  gstd_desiredra   ra   rb   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   r?   )gN@g85@g'ĥ?gwth?)gHnaX?gG?gBu?gE?r  r  ra   ra   rb   test_3d_array_axis_1     z3TestGeometricStandardDeviation.test_3d_array_axis_1c                 C   r  )Nr    r?   )gt80?gі?g?)gۘ]~?gmT6(?g	G?r  r  ra   ra   rb   test_3d_array_axis_2  r  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    r?   r  rZ  )	rW   r  Zmasked_wherer  rR   r  r
   r   r  )r[   r  r  r  r  ra   ra   rb   test_masked_3d_array  s   
z3TestGeometricStandardDeviation.test_masked_3d_arrayN)r   r   r   rW   r   r  r  rU   r  rS  r  r  r  r  r  r  r  r  r  r  r  r  r  ra   ra   ra   rb   r  Z  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#   r-  g?g333333?gffffff?rg  i  )rt   rt   gs  gG|G{g	ɺM>6g>
ztt+g#ӌRM/gF׸fz2gU8u5g8M8gФ)Ba?g%վ?g*+a5?gś?gڒJ|>rI   zfail forp=%f)r7   err_msgr  r   gVݶ3;r6   )rW   r  r  r   r	   rR   
binom_test)ppr1  r{   resultsr   r   ra   ra   rb   test_binomtest  s   
r  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.  r  r   r  r.  )r0        ?r   r   r  r0  )r1        ?      ?r   r  r  r1  )r-  r.        ?r   r   r  r.  r-  )	      ?      ?     ?     @?r   r  r  r  r  )
      p?      ?      ?     @?r   r   r  r  r  r  )      `?      ?      ?      ?      ?r   r  r  r  r  r  r   rH   c                    s   g | ]	}t | d qS )r)   )rR   r  )r)  r  r!  ra   rb   r,    s    z#test_binomtest2.<locals>.<listcomp>rG   rA   )r.  r   )rQ  rP  ra   r  rb   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    rH   r   r.  rR   r  r)  r  r!  ra   ra   rb   r,    s
    
z#test_binomtest3.<locals>.<listcomp>r   rH   )Zr)   grq?g     ?glq?gx0f#?g%d)MO?g   	o?g6?g:X@?r  gsw?g    ?gR'jMV?gEf?gF5a?gAQU?g'W?gk?r  g
ņB?g  ?g$?g{dU'?gD:B?gwV?gR0Nf?gOq?r  g[k^?g T+?gO?gggh(?gP-@?gOQ?g}^?gV7_i?r  ge$?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|$or?gWNS~?gT?gXnc?   \?gY\?gp ^a?gX-K?g#c?g
3?g75Q?gMJ[?gP8R?)Zr)   gw	%?g     ?gS g?gv^?g*uCi?g  a?g]?gE9Q?r  g/?g     ?g	x&~?g#?g5B?g	A'9?gpZ?gWV$u?r  gqIb?g  @N?g1Y?g5?gO?gc-?gk?g )?r  glMV?g?$?gT*r?gCqRv?grx?gωZ?gExY?g<T ?r  gJ9Ͻd?g `Ԗt?gT?gEz?gQ?g7C<*?g<?g~ K?r  g8?g~ȍEt?g⿒?g<v?gHE:?g8Z$?gbº5?gvC?r  g`Yw?gA?$??gE=?g4?g3?g{G9?gp?gH ?r  gz6f?g¯F?g(+?g	$V?gq^ws?g!?gXNJ?gK?r  g4P?g<q?gdV;?gy?g$w?gU<vO?gMX?g	șz*?r  giqSp?gMM?g0V$)?g]
yi/Q?gl?gl?g3Ȇ?gѾ_c?c              	   S   s6   g | ]}t d dD ]}t|d || d| q	qS r    rH   r   r   r  r  ra   ra   rb   r,  1  
    
 c              	   S   s6   g | ]}t d dD ]}t|d || d| q	qS r  r  r  ra   ra   rb   r,  3  r  rJ   rA   )r.  r   rW   r<  r  r3  r   r   )rk  Zbinom_testm1Zbinom_testp1Zres4_p1Zres4_m1ra   ra   rb   test_binomtest3  s   	(r  c                   @   r  )TestTrimc                 C   s   t d}tt t|dt d tt t|dt d tt tj|dddt dd tt tj|d	ddt d
d tt|dg  ttj|dddg  ttg dg  ttjg d	ddg  ttg dg  d S )NrH   r   rG   r  r'   left)tailr    tE]t?r!   r   r   )rW   r   r   sortrR   Ztrim1r  ra   ra   rb   
test_trim1<  s   


zTestTrim.test_trim1c              	   C   s  t d}tt t|dt dd tt t|dt g d tt tt ddd	dt d	d
d	d	 tt tt dd	djdt g dg dg t	t
tjt dd	djd ttg dg  ttg dg  ttg dg  d S )NrH   r  r!   r&   r  )r    r!   r"   r#   r$   r%   r&   r  r$   r"   r   r   )r    r&   rE   r   )r!   r'   r   rD   r   r   )rW   r   r   r  rR   Ztrimbothr   rU   r  ry   rz   r  ra   ra   rb   test_trimbothL  s&   
  zTestTrim.test_trimbothc           
      C   s  t g d}t g d}t ddd|d d f }t djdddd|d d f }tt|dt g d	 tt|dt g d
 t g d}t ddd|d d f }tt|dt g d g d}tt|dd ttg ddd t jd t jj	ddd}dD ]}tj|d|d}tt 
||dd}	t||	 qtj|dd d}t| d}	t||	 tttj|d ttg dt j ttg dt j d S )N)r"   r&   r    r   r'   r#   rG   r   r%   r!   r$   )r!   r#   r   r   r    r"   r  r$   r"   F)Zorderr   )r+   r1   g      -@g     4@r  )r   r   r!   r    )r   ro   r  r  r	  g      ,@)r%   rH   rI   rD   r   r$   r  r   r#   r   r[  rG   rP   r'   r\  r   r  r   r    rE   r"   rJ   r&   r!   rF   )r#   r"   r!   r   r    r   r+   r  r   )r#   r$   r"   r%   ri  )r   r   r    r!   rM   r?   r   rJ  rt   )rW   r   r   rU   r   rR   Z	trim_meanr  r  r  rp  r
  ry   rz   rX   )
r[   r   idxrq  rr  Zidx4Za4r@   rP  rQ  ra   ra   rb   test_trim_mean^  s<   "
zTestTrim.test_trim_meanN)r   r   r   r  r  r  ra   ra   ra   rb   r  :  s    r  c                   @   r  )TestSigmaClipc                 C   s   t t dddt dddf}d}t|\}}}t| |k t| |k  t||	 ||
    t||	 ||
    t|j|j d S )Nr  rL      r   r   r#   r"   rW   r  r  rR   	sigmaclipr   minmaxr   rV   rj   r   r[   r   factr  ZlowZuppra   ra   rb   test_sigmaclip1  s   "zTestSigmaClip.test_sigmaclip1c                 C   s   t t dddt dddf}d}t|||\}}}t| |k t| |k  t||	 ||
    t||	 ||
    t|jd t|jd	 d S )
Nr  rL   r  r   r   r#   r*   r"   $   r  r  ra   ra   rb   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  rL   rH   r!   ?)rW   r  r  rR   r  r   r  r  r   rV   rj   r  ra   ra   rb   test_sigmaclip3  s   zTestSigmaClip.test_sigmaclip3c                 C   sF   t t dddt dddf}d}t|||}d}t|| d S )	Nr  rL   rH   r  r  r!   r  )Zclippedr`  ra  )rW   r  r  rR   r  r   )r[   r   r  r   rJ  ra   ra   rb    test_sigmaclip_result_attributes  s   z.TestSigmaClip.test_sigmaclip_result_attributesc                 C   s"   t d}tt|d | d S )NrG   r   )rW   r<  r   rR   r  r  ra   ra   rb   test_std_zero  s   
zTestSigmaClip.test_std_zeroN)r   r   r   r  r  r  r  r  ra   ra   ra   rb   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)	rJ   rJ   rJ   rJ   rJ   rJ   rJ   rI   rI   )	rE   rJ   rI   rI   rI   rI   rI   rH   rH   )	rE   rE   rJ   rJ   rJ   rJ   rJ   rI   rI   )	r   rE   rJ   rJ   rJ   rI   rI   rI   rH   r=   )
rW   r   r  rj  uint8r   rR   alexandergovernr  r  )
r[   r  Z
args_int16Z
args_int32Z
args_uint8Zargs_float64Z	res_int16Z	res_int32Z	res_unit8Zres_float64ra   ra   rb   test_compare_dtypes  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.rw   r   r    zInput samples must be finite.z%Input samples must be one-dimensionalr!   r"   )ry   rz   rR   r  rW   r   r   ra   ra   rb   test_bad_inputs  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rR   r  r
   r  r  )r[   ZoneZtwoZeightsolnra   ra   rb   test_compare_r  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@r  r   g R8߱?r}  g.UikL@g&Zݱ?Nr  )r[   ZyoungZmiddleoldr  ra   ra   rb   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$?g6MDd}?Nr  )r[   rN  rO  r  ra   ra   rb   test_compare_scholar3R  s   z)TestAlexanderGovern.test_compare_scholar3c                 C   s<   g ddt jgg}tj| }t|jt j t|jt j d S )Nr   r   rW   rX   rR   r  r   r  r  )r[   r  r   ra   ra   rb   test_nan_policy_propogate  s   
z-TestAlexanderGovern.test_nan_policy_propogatec                 C   sT   g ddt jgg}ttdd tj|ddi W d    d S 1 s#w   Y  d S )Nr   r   r  rw   rs   ru   )rW   rX   ry   rz   rR   r  r[   r  ra   ra   rb   test_nan_policy_raise  s   "z)TestAlexanderGovern.test_nan_policy_raisec                 C   s`   g ddt jddgg}g dg dg}tj|ddi}tj| }t|j|j t|j|j d S )	N)r   r    r!   Nr"   r   r\  r   r   )r   r\  r   rs   rq   r  )r[   Zargs_nanZargs_no_nanZres_nanZ
res_no_nanra   ra   rb   test_nan_policy_omit  s   
z(TestAlexanderGovern.test_nan_policy_omitc                 C   s^   t t! tg dg d}t|jtj t|jtj W d    d S 1 s(w   Y  d S r   )	r   r   rR   r  r   r  rW   rX   r  r  ra   ra   rb   r     s   

"z'TestAlexanderGovern.test_constant_inputN)r   r   r   r  r  r  r  r  r  r  r  r   ra   ra   ra   rb   r    s    B22r  c                	   @   s  e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Ze	j
deg deg dejdffeg deg dejejffgdd Ze	j
dg ddd Zdd Zdd Zdd Zdd Ze	j
dd g d!fgd"d# Zd$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    rt   r   rR   f_onewayr   r[   r  r   ra   ra   rb   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  rf  )rR   r  r   r
   rW   r   r  ra   ra   rb   r     s   
zTestFOneWay.test_basicc                 C   s2   t dgdgg d\}}t|d t|d d S )Nr    rh  rJ  r  r  r  ra   ra   rb   test_known_exact  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    r=       gŸ?r  rf  )rW   r   uint16rR   r  r
   )r[   r   r   r  r   ra   ra   rb   test_large_integer_array  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  r=   r  r  r  )rW   r   r  rR   r  r   )r[   r   r   r   rJ  ra   ra   rb   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 ra   )stripsplit)r)  linera   ra   rb   r,    s    z)TestFOneWay.test_nist.<locals>.<listcomp>r	  r3  ru  )Zskiprowsr   rM   c                    s   g | ]} |k qS ra   ra   r(  r?  ra   rb   r,    s    )r   r  r  r}  zFailing testcase: %s)r   r  )ospathabspathjoindirname__file__openreadr  rW   Zloadtxtr  ri  r3  r  rX  rR   r  r
   )r[   	filenamesZ	test_caser   fnamefZcontentZ	certifiedZdatafZcatyZxlistr   Zhard_tcra   r?  rb   	test_nist  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 r'  )r   rR   F_onewayConstantInputWarningr  )r[   r   r   rl  r  r   ra   ra   rb   r     s   "zTestFOneWay.test_constant_inputr@   )r>  rM   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!   )rM   r   r   r   r?   rW  r  rf  r  )
rW   r   r  r   rR   r  r  Ztaker
   r   )r[   r@   r   r   r  Z	take_axisr  r   r+  ZfjZpjra   ra   rb   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   r?   )r"   r%   r   )	rW   r   rU   cosrR   r  r  r.  r
   )
r[   r   r   r  r  r   r*  r+  ZfijZpijra   ra   rb   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   rR   F_onewayBadInputSizesWarningr  r   rW   rX   r  ra   ra   rb   test_length0_1d_error3  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#   r6  )	r   rR   r  rW   r<  r  rh   rX   r   )r[   Zncolsr   r   r  r  r   Znansra   ra   rb   test_length0_2d_error9  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 )NrG   rH   rI   rJ   r  r  ra   ra   rb   test_all_length_oneD  s   "zTestFOneWay.test_all_length_oner  ra   r   c                 C   s8   t t tj|  W d    d S 1 sw   Y  d S r'  )ry   r>  rR   r  r  ra   ra   rb   test_too_few_inputsI  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    r?   )rW   r<  ry   rq  rR   r  r[   r   r   ra   ra   rb   test_axis_errorN  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   r?   )rW   r<  ry   rz   rR   r  r!  ra   ra   rb   test_bad_shapesT  s
   


"zTestFOneWay.test_bad_shapesN)r   r   r   r  r   r  r  r  r  r  r  r  rW   r   r   rX   r   r  r  r  r  r  r  r"  r#  ra   ra   ra   rb   r    s,    
 "$

.
r  c                   @   r  )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   )	rR   kruskalr   r	   r  r  r  rW   r   r[   r{   r\   hr   ra   ra   rb   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 )Nr   r    r"   r$   r&   rG   r  rG   r6   r   )rR   r%  r	   r  r  r  rW   r   r&  ra   ra   rb   r   f  s   zTestKruskal.test_basicc                 C   s<   dg}ddg}d}d}|| }t ||\}}t|| d S )Nr   r    r  r  )rR   r%  r   r[   r{   r\   h_uncorrr2  rl  r'  r   ra   ra   rb   test_simple_tiep  s   zTestKruskal.test_simple_tiec                 C   sJ   g d}g d}d}dt dd  }|| }t||\}}t|| d S )N)r   r   r   r    )r    r    r    r    r   r        )rX  rR   r%  r	   r*  ra   ra   rb   test_another_tie{  s   zTestKruskal.test_another_tiec           	      C   sj   g d}g d}ddg}d}dt dd  }|| }t|||\}}t|| t|tjj|d d S )Nr  r  r    r5   r   r-  r.  )rX  rR   r%  r	   r  r  r  )	r[   r{   r\   r  r+  r2  rl  r'  r   ra   ra   rb   test_three_groups  s   
zTestKruskal.test_three_groupsc                 C   s4   g d}g d}g }t t|||tjtjf d S )Nr  r  )r   rR   r%  rW   rX   r  ra   ra   rb   r    s    zTestKruskal.test_emptyc                 C   s.   g d}g d}t ||}d}t|| d S )Nr   r)  r  )rR   r%  r   )r[   r{   r\   r   rJ  ra   ra   rb   test_kruskal_result_attributes  s
   z*TestKruskal.test_kruskal_result_attributesc                 C   r  )Nro   r'   rq   rr   r   ru   rv   )	rW   r   rX   r   rR   r%  r   ry   rz   r  ra   ra   rb   r    s   

zTestKruskal.test_nan_policyc                 C   sB   d}t j|}t j|d }t||\}}d}t|| d S )Nr!  r  r   )rW   r  r  rR   r%  r	   )r[   r1  r{   r\   r'  r   rl  ra   ra   rb   test_large_no_samples  s   z!TestKruskal.test_large_no_samplesN)r   r   r   r(  r   r,  r/  r0  r  r1  r  r2  ra   ra   ra   rb   r$  [  s    

	r$  c                   @   r  )TestCombinePvaluesc                 C   (   t jg ddd\}}t|ddd d S )Nr9  r  r   r  r  gf?r"   r6   rR   combine_pvaluesr	   )r[   Zxsqr   ra   ra   rb   test_fisher  s   zTestCombinePvalues.test_fisherc                 C   r4  )Nr5  stoufferr  S:X?r"   r6   r6  r[   Zr   ra   ra   rb   test_stouffer     z TestCombinePvalues.test_stoufferc                 C   r4  )N)r)   r)   r)   r9  r  r)   r"   r6   r6  r;  ra   ra   rb   test_stouffer2  r>  z!TestCombinePvalues.test_stouffer2c                 C   0   t jg ddtdd\}}t|ddd d S )Nr5  r9  r!   r  rG  r:  r"   r6   )rR   r7  rW   r<  r	   r;  ra   ra   rb   test_weighted_stouffer     
z)TestCombinePvalues.test_weighted_stoufferc                 C   r@  )Nr5  r9  )r   r"   r'   rA  g46<?r"   r6   )rR   r7  rW   r   r	   r;  ra   ra   rb   test_weighted_stouffer2  rC  z*TestCombinePvalues.test_weighted_stouffer2c                 C   r4  )Nr5  r  r  g&J?r"   r6   r6  r;  ra   ra   rb   test_pearson  r>  zTestCombinePvalues.test_pearsonc                 C   r4  )Nr5  Ztippettr  g
}?r"   r6   r6  r;  ra   ra   rb   test_tippett  r>  zTestCombinePvalues.test_tippettc                 C   r4  )N)r   r   r   mudholkar_georger  g&?r"   r6   r6  r;  ra   ra   rb   test_mudholkar_george  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 )	Nr5  rG  r  r  r  r)   r"   r6   r6  )r[   r<  r   ZZ_fZp_fZZ_pZp_pra   ra   rb   0test_mudholkar_george_equal_fisher_minus_pearson  s   zCTestCombinePvalues.test_mudholkar_george_equal_fisher_minus_pearsonN)r   r   r   r8  r=  r?  rB  rD  rE  rF  rH  rI  ra   ra   ra   rb   r3    s    r3  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   ry   rz   rR   wasserstein_distancer   ra   ra   rb   &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!   rK  r   ra   ra   rb   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!   rM   rK  r   ra   ra   rb   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   rK  r   ra   ra   rb   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   )ry   rz   rR   rL  rW   r   r   ra   ra   rb   test_inf_weight  s   z)TestCdfDistanceValidation.test_inf_weightN)	r   r   r   r   rM  rN  rO  rP  rQ  ra   ra   ra   rb   rJ    s    rJ  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   rR   rL  r   ra   ra   rb   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   rR   rL  r   ra   ra   rb   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   rn  r#   rG   ro  )rH   rI   rJ   rE   r   )r-   g@r<  )r:  r%   r^  )r!   r   r   )r   r!   r   r+   rS  r   ra   ra   rb   
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"   rS  r   ra   ra   rb   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 )Nr:  r  r   rM   )rG  )
rW   r   Z
zeros_liker   rR   rL  rV   rp  r  Zaverage)r[   r  r  Z	u_weightsZ	v_weightsra   ra   rb   test_collapse7  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    rS  r   ra   ra   rb   rN  F  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    rp   )	r   rR   rL  rW   r   r   rY   rZ   rX   rK  ra   ra   rb   test_inf_valuesM  s&   "z'TestWassersteinDistance.test_inf_valuesN)r   r   r   r   r(  rW  rX  r\  r]  rN  rb  ra   ra   ra   rb   rR    s    	
rR  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   rR   energy_distancerW   r   r   ra   ra   rb   r(  d  s$   zTestEnergyDistance.test_simplec                 C   rT  rU  )r   rR   re  r   ra   ra   rb   rW  t  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    rn  r#   gS[:XL	@rd  r   ra   ra   rb   rX  |  s
   zTestEnergyDistance.test_shiftc              	   C   rY  rZ  r   rR   re  r   ra   ra   rb   r\    s   z'TestEnergyDistance.test_combine_weightsc              	   C   r^  r_  rf  r   ra   ra   rb   rN    s   z#TestEnergyDistance.test_zero_weightc                 C   r`  ra  )	r   rR   re  rW   r   r   rY   rZ   rX   rK  ra   ra   rb   rb    s     "z"TestEnergyDistance.test_inf_valuesN)
r   r   r   r   r(  rW  rX  r\  rN  rb  ra   ra   ra   rb   rc  `  s    rc  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"   rJ   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   r6   |	&	@|	&	gҏGg?g@-pL?)rR   brunnermunzelrS   r,  r	   r7   r   r-  ra   ra   rb   test_brunnermunzel_one_sided  s2   
z.TestBrunnerMunzel.test_brunnermunzel_one_sidedc                 C   t   t j| j| jdd\}}t j| j| jdd\}}t||| jd t|d| jd t|d| jd t|d| jd d S )Nr  r   r6   ri  rj   ҏGw?rR   rk  rS   r,  r	   r7   r3  ra   ra   rb   test_brunnermunzel_two_sided  s   
z.TestBrunnerMunzel.test_brunnermunzel_two_sidedc                 C   sl   t | j| j\}}t | j| j\}}t||| jd t|d| jd t|d| jd t|d| jd d S )Nr6   ri  rj  rn  ro  r3  ra   ra   rb   test_brunnermunzel_default  s   
z,TestBrunnerMunzel.test_brunnermunzel_defaultc                 C   6   d}d}d}t |dv tttj| j| j||| d S )Nr  r  r%  )r  r   r   r   ry   rz   rR   rk  rS   r,  r[   r   distributionrs   ra   ra   rb   $test_brunnermunzel_alternative_error     z6TestBrunnerMunzel.test_brunnermunzel_alternative_errorc                 C   rm  )Nrz  )ru  r6   ri  rj  g "H[?ro  r3  ra   ra   rb   $test_brunnermunzel_distribution_norm  s   
z6TestBrunnerMunzel.test_brunnermunzel_distribution_normc                 C   rr  )Nr  r  r%  )r  rz  rs  rt  ra   ra   rb   %test_brunnermunzel_distribution_error  rw  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 r'  )rR   rk  rS   r,  r   rW   rX   )r[   r.  r  r/  r  r0  r  ra   ra   rb   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"   rh  r%  rr   )rW   rX   rR   rk  r   r[   rS   r,  r.  r  r/  r  ra   ra   rb   &test_brunnermunzel_nan_input_propagate  s   $z8TestBrunnerMunzel.test_brunnermunzel_nan_input_propagatec                 C   sh   ddddddddddddddt jg}g d}d}d}d}tttj||||| tttj||||| d S )Nr   r    r"   rh  r  r  ru   )rW   rX   ry   rz   rR   rk  )r[   rS   r,  r   ru  rs   ra   ra   rb   "test_brunnermunzel_nan_input_raise  s*   $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"   rh  rq   rr   r6   ri  rj  rn  )rW   rX   rR   rk  r	   r7   r{  ra   ra   rb   !test_brunnermunzel_nan_input_omit,  s   $
z3TestBrunnerMunzel.test_brunnermunzel_nan_input_omitN)r   r   r   rS   r,  r7   rl  rp  rq  rv  rx  ry  rz  r|  r}  r~  ra   ra   ra   rb   rg    s    rg  c                   @   s0   e Zd ZdZdd Zdd Zdd Zdd	 Zd
S )TestRatioUniformsz# Tests for rvs_ratio_uniforms.
    c                 C   s   t jj}t|tdtd }t|d| |}}}t j||||ddd}tt |dd dkd	 t jd
d dddtd ddd}tt |dd dkd	 d S )Nr    r   i	  i90  r  r  r   r  Tc                 S   s   t |  S r'  )rW   r  r  ra   ra   rb   r  J  r  z6TestRatioUniforms.test_rv_generation.<locals>.<lambda>rM   r   )umaxvminvmaxr   r  Zexpon)	rR   r  pdfrW   r   rvs_ratio_uniformsr   r  r  )r[   r  v_boundr  r  r  r  ra   ra   rb   test_rv_generation?  s   z$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!   rI      r  r   rz  )	rR   r  r  rW   r   r  r   r  r  )r[   r  r  r  r  r  r  r  r  Zr4Zr5Zr6Zr7r8ra   ra   rb   
test_shapeO  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  ri  r  )	rR   r  r  rW   r   r  r  r  r   )r[   r  r  r  r  r  r  r  ra   ra   rb   test_random_stateo  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!   )r  r  r  r  rM   r   )rR   r  r  ry   rz   r  )r[   r  ra   ra   rb   test_exceptionsy  s   
z!TestRatioUniforms.test_exceptionsN)r   r   r   r   r  r  r  r  ra   ra   ra   rb   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#   rW   r   ry   rz   rR   multiscale_graphcorrr   ra   ra   rb   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"   rG   )rW   r   rU   ry   rz   rR   r  r   ra   ra   rb   test_error_shape  s   z%TestMGCErrorWarnings.test_error_shapec                 C   s(   t d}t d}tttj|| d S )Nr!   r  r   ra   ra   rb   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   r=   r   )rW   r   rX  rX   ry   rz   rR   r  r   ra   ra   rb   test_error_nans  s
   

z$TestMGCErrorWarnings.test_error_nansc                 C   &   t d}d}tttj|||d d S )Nr   r   )compute_distancer  )r[   r{   r  ra   ra   rb   test_error_wrongdisttype  s
   

z-TestMGCErrorWarnings.test_error_wrongdisttyperE  rM   1c                 C   s"   t d}tttj|||d d S )Nr   rE  r  )r[   rE  r{   ra   ra   rb   test_error_reps  s   
z$TestMGCErrorWarnings.test_error_repsc                 C   r  )Nr   r   r  )rW   r   r   rZ   rR   r  )r[   r{   rE  ra   ra   rb   test_warns_reps  s   
z$TestMGCErrorWarnings.test_warns_repsc                 C   s.   t d}t dt j }tttj|| d S )Nr   )rW   r   r<  r   ry   rz   rR   r  r   ra   ra   rb   test_error_infty  s   
z%TestMGCErrorWarnings.test_error_inftyN)r   r   r   r   r  r  r  r  r  r  r  r  r  r  r  ra   ra   ra   rb   r    s    	
r  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 )NrY  rM   r   ri  r   	nonlinearr   r#   rI  independencer)   )r   r   r!   r    z3sim_type must be linear, nonlinear, or independencer?   )rW   r  rb  Zrandom_sampler   r   r  Zpir  rz  binomialrz   r  )r[   sampsdimssim_typer{   r\   Zunifr  r  Zu_2Zv_2Z
dims_noisera   ra   rb   _simulations  s*   zTestMGCStat._simulationszsim_type, obs_stat, obs_pvalue))rY  r  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 )Nra  r   r   r  r  r  r6   rW   r  r  r  rR   r  r	   	r[   r  Zobs_statZ
obs_pvaluer{   r\   r  r  r  ra   ra   rb   	test_oned  s
   zTestMGCStat.test_oned)rY  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 )Nra  r   r#   r  r   r6   r  r  ra   ra   rb   
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 )Nra  r   r)   )r   r#   ri  r   r   )rw  r#   r   r6   r  T)Z
is_twosamp)rW   r  r  r  rz  rR   r  r	   r[   r{   r\   r  r  r  ra   ra   rb   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 )Nra  r   r   rY  r  r    )Zworkersr  r6   r  r  r  ra   ra   rb   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   rY  r  r  r  r6   r  )r  rR   r  r	   r  ra   ra   rb   r  *  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 )Nra  r   r   r  r  Z	euclidean)Zmetric)r  r  r  r6   r  )rW   r  r  r  r   rR   r  r	   )r[   r{   r\   ZdistxZdistyZ	stat_distZpvalue_distr  ra   ra   rb   test_dist_perm4  s   zTestMGCStat.test_dist_permN)r   r   r  )r   r   r   r   r  r  r  r  r  r  r  r  r  r  r  ra   ra   ra   rb   r    s(    
"


	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$g d%gfd&d'ddg d(g d(g d(g d(g d(g d(g d)g d*g d*g d*g
fd+d,ddg dg dg dg dg dg dg dg dg dg dg dg dg d g d!g d!g d!g d!g d!g d!gfd-d.ddg d/g d/g d0g d1gfd2d3ddg dg dg dg dg dg dg dg dg dg d g d!gfgZ	e
jd4e	d5d6 Zd7d8ddg d9g d:gfd;d<ddg d9g d9g d9g d=g d>gfd?d@ddg dAg dAg dAg dAg dAg dAg dAg dAg dAg dBg dCg dCg dCg dCg dCgfgZe
jd4e	e
j dDdE ZdFdG ZdHdI ZdJdK ZdLS )MTestPageTrendTestr   r!   r   rG      i2  g:hў?Fr  i  gsH?i,0  gY@?)r1  r/  I   r  r/  `   r  ;   r  r  r-  1   r,  +   r  r/  r   r   r2  r   rC   r   rw  r  r  )D   r  ru  "   r  r   A   X   rD   r,  r3  r  r  C   E   ^   r  r  r	  W   r  r  r  r  r  )r,  rJ   U   r  O   rI   \   V   rD   @   r   r  r  rP   r   Y   rh  r  r  r  6   rJ   B   r  r^  i
  gXY?r  )r*   r  g @r#   r\  rH   )r#   r"   r,   rG   r   rD   )r  r;  rG   rI   rE   r   iL  gs˜?T)r"   r!   r    r   )r!   r"   r   r    r      gĞ?)r!   r    r   rV  r      g>K=?)r$   r#   r"   r!   r    r   )r   r!   r"   r#   r    r$   i  gqူ?)r#   r"   r!   r    r   )r"   r   r!   r    r#   ro     ga?i  g;?)r%   r$   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  
rW   r  r  rR   page_trend_testr   r  r
   r  r  r[   Lr   r  r  r  r   ra   ra   rb   test_accuracy  s
   zTestPageTrendTest.test_accuracyi  g-lpW?)
rG   r'   r&   r%   r$   r#   r"   r!   r    r   )
r   r&   r"   r%   r$   r#   r'   r!   r    rG   i*  gh[?)
r'   r    r&   r%   r$   r#   r"   r!   rG   r   r  i  g&]2?)r&   r%   r$   r#   r"   r!   r    r   )r   r!   r#   r$   r"   r%   r    r&   r  c                 C   r  r  r  r  ra   ra   rb   test_accuracy2  s
   z TestPageTrendTest.test_accuracy2c                 C   s   t jd d\}}t d|d }t jt |}t j||}tj|dd}t|}tj|dd}tj|dd}	tj||d}
tj|d d |f || d}t	|j
|j
 t	|j
|	j
 t	|j
|
j
 t	|j
|j
 d S )	Nr  )rG   r   r   r?   Tr  F)predicted_ranks)rW   r  r  r   Zpermutationr  rR   Zrankdatar  r   r  )r[   r0  r1  r  Zpermr  ZranksrP  rQ  rk  Zres4Zres5ra   ra   rb   test_options  s"   
zTestPageTrendTest.test_optionsc                 C   s   t jd g dg dg dg dg dg dg}t |j}t dd	}tj|d
|dd}t|j	d t
|jddd tj|d
|dd}t|j	d t
|jddd d S )Nr  )r  r  o   )r.  rX  k   )g      y   )r'  r  r-  )r         )   r[  t   r   r%   Fr  )r  r  r  i  gy&1l?r"   rA   r  gHPsb?)rW   r  r  r   r  r   rR   r  r   r  r   r  )r[   r  r  r   ra   ra   rb   test_Ames_assay  s$   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.rw   r   r    zPage's L is only appropriater!   z+`predicted_ranks` must include each integerr   r  )r  r  )r,  r    r!   )r   r    r!   r!   rV  z`data` is not properly ranked)r   r    r!   Tr[  z`data` contains NaNsFr  z`method` must be inZekki)r  r  z`ranked` must be boolean.)r  r  )	ry   rz   rR   r  rW   r  r  rX   r>  )r[   r  ra   ra   rb   r    sx   $z'TestPageTrendTest.test_input_validationN)r   r   r   rW   r  r  r  Z	data_3_25Z
data_10_26tsr  r  r  r  Zts2r  r  r  r  r  ra   ra   ra   rb   r  C  s    $$$$$$$,
r  rj  )NNr   N)NNr   )r   r  r  collectionsr   	itertoolsr   Znumpy.testingr   r   r   r   r   r	   r
   r   r   r   r  r   ry   Znumpy.ma.testutilsr  Z	testutilsr  Znumpyr   r   r   r   r   rW   Zscipy.statsrR   Zscipy.stats.mstatsr  Zscipy.stats._mstats_basicZ_mstats_basicr  Zscipy.stats._ksstatsr   Zscipy.special._testutilsr   Zscipy.specialr   Zcommon_testsr   Zscipy.sparse._sputilsr   Zscipy.spatial.distancer   Z	numpy.libr   Zscipy.stats._axis_nan_policyr   r]  r   r   r   rX  rS   r  r   r   r   r   r   r2   r   r   r  rn  r  r  r  r  r  r  r  r  r  r  rb  ri  rk  rm  r  r  r  r  r  r@  rS  rU  r  r  r  ZPowerDivCaser  r  r  r  r  r  r  r  r  rj  r  r  r  r  r  r%  r6  r{  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r%  r'  r(  r?  rF  rJ  rL  rM  rq  r  r  r  r  r  r  r  r  r$  r3  rJ  rR  rc  rg  r  r  r  r  ra   ra   ra   rb   <module>   s  0  r  ~ I Z
 WS

&  "u+  `?H g HFN,,	 -
K-5"D fn


| rH l
Jbq(~
+
J Q^K/ n ;U-&]C L< 