a
    Qe@                    @   s  d Z ddl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l0m1Z1 ddl2m3Z3 ddl4m5Z5 ddl6m7Z7 ddl8m9Z9 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:Z@eg de:ZAG dd dZBG dd dZCG dd dZDG dd  d ZEG d!d" d"ZFd#d$ ZGd%d& ZHd'd( ZId)d* ZJd+d, ZKG d-d. d.ZLd/d0 ZMd1d2 ZNd3d4 ZOd5d6 ZPG d7d8 d8ZQG d9d: d:ZRd;d< ZSd=d> ZTd?d@ ZUG dAdB dBZVejWXdCG dDdE dEZYG dFdG dGZZG dHdI dIZ[G dJdK dKZ\dLdM Z]G dNdO dOZ^G dPdQ dQZ_G dRdS dSZ`G dTdU dUZaedVg dWZbebg dXddddYdZdYe cd[ d\e cd]   dZd^e cd_ d^e cd`   dadWebg dXg dbdddcdZdYe cd_ d^e cd[  d^e cdd   dZdZe cd[ dee cd_  dZe cdf   dgdWebg dXd^dddYdZdYe cd[ d\e cd]   dZd^e cd_ d^e cd`   dadWebg dhg dhdddddddWgZdebg ddddddddWebe g g g gjedddg dig dig dig didWebe g g g gdddg g g g dWgZfG djdk dkZgdldm ZhejWidndoe jjfdpe jkfgdqdr Zldsdt Zmdudv Zndwdx ZoG dydz dzZpG d{d| d|ZqG d}d~ d~Zrdd Zsdd Ztdd ZuejWide vddfe vddfgdd Zwdd ZxejWidg ddd ZyejWide"jze ddffe"j{e de dffgdd Z|dddZ}dd Z~G dd dZG dd dZG dd dZG dd dZdd Zdd Zdd Zdd ZejWide vddfe vddfgdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd ZG dd dZdd ZG dd dZG dd dZddÄ Zddń ZG ddǄ dǃZddɄ Zdd˄ Zddd΄ZdddЄZd	dd҄ZG ddԄ dԃZG ddք dփZG dd؄ d؃ZG ddڄ dڃZejWidg dۢdd݄ Zdd߄ Zdd Zdd ZG dd dZG dd dZG dd dZG dd dZG dd dZG dd dZG dd dZG dd dZG dd dZG dd dZG dd dZG dd dZG dd dZG dd dZe jd ZedZedZejWide"jeffe"jee"jjffe"jeeffe"jeeffgdd ZG dd 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)optimize   )check_named_results)cdist)NumpyVersion)_broadcast_concatenate)_permutation_distribution_t)	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   s@  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 }|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$dd}dd!d"d#t
jt
jt
jt
jt
jg	}t	||dd W d    n1 s20    Y  d S )%Nr   r$   TT      @significant)FFlimits	inclusiver7   ?   dtyper%   r#   axisr   r$   decimalr   )r   =   )r7   r>   g     ?@)r      )         '@r%   
            TF)r7   r8   r>   )      %@rD   r%   rE   rF   rG   rH   )r   rH   r+   r,   r-   Mean of empty slicer    rE      rB   FT)statsZtmeanXr	   dprecr   r   reshapemeanr   npr   nanr   recordRuntimeWarning)selfyy1y2x_2dZy_trueZx_2d_with_nansup r_   P/var/www/sunrise/env/lib/python3.9/site-packages/scipy/stats/tests/test_stats.py
test_tmeanE   sF    
  zTestTrimmedStats.test_tmeanc                 C   s  t jtddd}t|d| jd t jtd d}t|tjdd| jd td	td
d}t j|d d}t||jdd| jd t j|dd}t	|d t
dddd t j|dd}t	|d t
dddd t |dd d f }t|d| jd t x}|td t j|dddd}t|d d| jd t j|dddd}t|d d| jd t|d t
j W d    n1 sz0    Y  d S )Nr1   r2   r6   g@r4   r9   r   ddofr:   r;   )r%   r#   r=   r   )r   r#   g     v@r$   r?   )r   r%   g㪪@r   g@z"Degrees of freedom <= 0 for slice.)r   r!   )r7   r>   r8   r)   r   r"   )rP   ZtvarrQ   r	   rR   varr   r   rS   r   rU   fullr   rW   rX   r   rV   )rY   rZ   r]   r^   r_   r_   r`   	test_tvart   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 )Nr1   r2   gBĆ/H@r4   r9   r   rb   )rP   ZtstdrQ   r	   rR   stdrY   rZ   r_   r_   r`   	test_tstd   s    zTestTrimmedStats.test_tstdc              	   C   sz  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 sL0    Y  W d    n1 sl0    Y  d S )Nr    rE   r   )
lowerlimitF)rk   r8   r   r!   r   r   r=   )r   r   r    r"   r$         $@r%   invalid value*omit
nan_policy        raisefoobarz'propagate', 'raise', 'omit'matchZfoo)r   rP   ZtminrU   r   rS   rV   r   rW   rX   assert_raises
ValueError)rY   xr^   msgr_   r_   r`   	test_tmin   s(    



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 f}|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    n1 s,0    Y  d S )Nr    rE   r%   )
upperlimitF)r|   r8   r$   rl   r#   r   r=   r   r   r!   r#   r%   rm   r"   rn   ro   rp         "@rs   rt   )r   rP   ZtmaxrU   r   rS   rV   r   rW   rX   rw   rx   )rY   ry   r^   r_   r_   r`   	test_tmax   s"    



zTestTrimmedStats.test_tmaxc                 C   sn   t jtddd}tg d}t||jddt|j | j	d tt jtdd	gd
t jtd d
| j	d d S )N)r   r$   rO   r6   )r    r!   r"   r#   r$   r   rb   r4   rK   rE   r9   )
rP   ZtsemrQ   rU   r   r	   rh   sqrtsizerR   )rY   rZ   Zy_refr_   r_   r`   	test_tsem   s    zTestTrimmedStats.test_tsemN)__name__
__module____qualname__rU   Zfinfor   Z	precisionrR   ra   rg   rj   r{   r   r   r_   r_   r_   r`   r0   A   s   / r0   c                   @   s  e Zd ZdZdd Zdd Zdd Zdd	 Zd
d Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zd d! Zd"d# Zd$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#e$j%&dBg dCdDdE Z'dFdG Z(dHdI Z)dJdK Z*dLdM Z+dNdO Z,e$j%j-e$j%&dPdQe$j%&dRdSdTdU Z.e$j%j-e$j%&dPdQdVdW Z/dXdY Z0dZS )[TestCorrPearsonrE   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   s"   t tt}|d }t|d d S Nr         ?)rP   pearsonrrQ   r	   rY   rZ   rr_   r_   r`   test_pXX   s    zTestCorrPearsonr.test_pXXc                 C   s"   t tt}|d }t|d d S r   )rP   r   rQ   BIGr	   r   r_   r_   r`   
test_pXBIG   s    zTestCorrPearsonr.test_pXBIGc                 C   s"   t tt}|d }t|d d S r   )rP   r   rQ   LITTLEr	   r   r_   r_   r`   test_pXLITTLE   s    zTestCorrPearsonr.test_pXLITTLEc                 C   s"   t tt}|d }t|d d S r   )rP   r   rQ   HUGEr	   r   r_   r_   r`   test_pXHUGE   s    zTestCorrPearsonr.test_pXHUGEc                 C   s"   t tt}|d }t|d d S r   )rP   r   rQ   TINYr	   r   r_   r_   r`   test_pXTINY   s    zTestCorrPearsonr.test_pXTINYc                 C   s"   t tt}|d }t|d d S r   )rP   r   rQ   ROUNDr	   r   r_   r_   r`   test_pXROUND   s    zTestCorrPearsonr.test_pXROUNDc                 C   s"   t tt}|d }t|d d S r   )rP   r   r   r	   r   r_   r_   r`   test_pBIGBIG   s    zTestCorrPearsonr.test_pBIGBIGc                 C   s"   t tt}|d }t|d d S r   )rP   r   r   r   r	   r   r_   r_   r`   test_pBIGLITTLE  s    z TestCorrPearsonr.test_pBIGLITTLEc                 C   s"   t tt}|d }t|d d S r   )rP   r   r   r   r	   r   r_   r_   r`   test_pBIGHUGE  s    zTestCorrPearsonr.test_pBIGHUGEc                 C   s"   t tt}|d }t|d d S r   )rP   r   r   r   r	   r   r_   r_   r`   test_pBIGTINY  s    zTestCorrPearsonr.test_pBIGTINYc                 C   s"   t tt}|d }t|d d S r   )rP   r   r   r   r	   r   r_   r_   r`   test_pBIGROUND  s    zTestCorrPearsonr.test_pBIGROUNDc                 C   s"   t tt}|d }t|d d S r   )rP   r   r   r	   r   r_   r_   r`   test_pLITTLELITTLE  s    z#TestCorrPearsonr.test_pLITTLELITTLEc                 C   s"   t tt}|d }t|d d S r   )rP   r   r   r   r	   r   r_   r_   r`   test_pLITTLEHUGE  s    z!TestCorrPearsonr.test_pLITTLEHUGEc                 C   s"   t tt}|d }t|d d S r   )rP   r   r   r   r	   r   r_   r_   r`   test_pLITTLETINY  s    z!TestCorrPearsonr.test_pLITTLETINYc                 C   s"   t tt}|d }t|d d S r   )rP   r   r   r   r	   r   r_   r_   r`   test_pLITTLEROUND$  s    z"TestCorrPearsonr.test_pLITTLEROUNDc                 C   s"   t tt}|d }t|d d S r   )rP   r   r   r	   r   r_   r_   r`   test_pHUGEHUGE)  s    zTestCorrPearsonr.test_pHUGEHUGEc                 C   s"   t tt}|d }t|d d S r   )rP   r   r   r   r	   r   r_   r_   r`   test_pHUGETINY.  s    zTestCorrPearsonr.test_pHUGETINYc                 C   s"   t tt}|d }t|d d S r   )rP   r   r   r   r	   r   r_   r_   r`   test_pHUGEROUND3  s    z TestCorrPearsonr.test_pHUGEROUNDc                 C   s"   t tt}|d }t|d d S r   )rP   r   r   r	   r   r_   r_   r`   test_pTINYTINY8  s    zTestCorrPearsonr.test_pTINYTINYc                 C   s"   t tt}|d }t|d d S r   )rP   r   r   r   r	   r   r_   r_   r`   test_pTINYROUND=  s    z TestCorrPearsonr.test_pTINYROUNDc                 C   s"   t tt}|d }t|d d S r   )rP   r   r   r	   r   r_   r_   r`   test_pROUNDROUNDB  s    z!TestCorrPearsonr.test_pROUNDROUNDc                 C   s,   t tt}d}t|| t|j|j d S Ncorrelationpvalue)rP   r   rQ   r   r   r   	statisticrY   res
attributesr_   r_   r`   test_pearsonr_result_attributesG  s    
z0TestCorrPearsonr.test_pearsonr_result_attributesc              	   C   sH   t d}t||\}}t|ddd t|dtdtd d d S )N      @r   V瞯<atolrr   r   r   rP   r   r
   rU   r   spacingrY   ar   probr_   r_   r`   test_r_almost_exactly_pos1M  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   rr   r   r   r   r   r_   r_   r`   test_r_almost_exactly_neg1V  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rK   r   r   )r   r   r   r   r   UUUUUU?)r   rP   r   r	   rU   r   )rY   r   br   r   r_   r_   r`   
test_basic_  s
    zTestCorrPearsonr.test_basicc                 C   sf   d}t tj|d@ tg dg d\}}t|tj t|tj W d    n1 sX0    Y  d S )NAn input array is constantru   MbX?r   r   grh|?gv/?gsh|??)r   rP   ConstantInputWarningr   r   rU   rV   )rY   rz   r   pr_   r_   r`   test_constant_inputh  s
    z$TestCorrPearsonr.test_constant_inputc                 C   sr   dddt d g}ddddt d  g}d}ttj|d  t||\}}W d    n1 sd0    Y  d S )Nr   r   r"   z/An input array is nearly constant; the computedru   )rU   r   r   rP   ZNearConstantInputWarningr   )rY   ry   rZ   rz   r   r   r_   r_   r`   test_near_constant_inputq  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$9"o?ge =:k?)goȟg`
,gzg2l?g>??'ge;E?g3R?)rP   r   r
   rY   ry   rZ   r   r   r_   r_   r`   test_very_small_input_values{  s
    
z-TestCorrPearsonr.test_very_small_input_valuesc                 C   sH   dt g d }dt d }t||\}}t|d t|d d S )NgY)	kR)r   r   r   r   r   r   r   r#   gLXz?g͗~-?)rU   r   r   rP   r   r
   r   r_   r_   r`   test_very_large_input_values  s
    
z-TestCorrPearsonr.test_very_large_input_valuesc                 C   sD   t g d}t g d}t||\}}t|d t|d d S )N)g7	igNig_b4igZbi)gDig<'(½igmQiZbtig*D{?gݣ?)rU   r   rP   r   r
   r   r_   r_   r`   !test_extremely_large_input_values  s
    
z2TestCorrPearsonr.test_extremely_large_input_valuesc                 C   sB   t ddgddg}|\}}t|d t|d t| d d S )Nr   r   r   r!   rK   r   )rP   r   r   confidence_interval)rY   r   r   r   r_   r_   r`   test_length_two_pos1  s
    

z%TestCorrPearsonr.test_length_two_pos1c                 C   s0   t ddgddg\}}t|d t|d d S )Nr   r   r   r!   rK   )rP   r   r   )rY   r   r   r_   r_   r`   test_length_two_neg2  s    
z%TestCorrPearsonr.test_length_two_neg2z$alternative, pval, rlow, rhigh, sign))	two-sided?gmgƎ?r   )lessK˅?rK   g?
?r   )greater.?gդζr   r   )r   r   gfǎgl?rK   )r   r   r   gդζ?rK   )r   r   g?
r   rK   c           
      C   sl   g d}t g d| }tj|||d}t|jd| dd t|j|dd | }	t|	||fdd d S )Nr   r   r   r    )r   r   r'   r   alternativeg?r&   rtolư>)rU   r   rP   r   r
   r   r   r   )
rY   r   pvalZrlowZrhighsignry   rZ   resultcir_   r_   r`   test_basic_example  s    z#TestCorrPearsonr.test_basic_examplec                 C   sP   t d}| }tj||dd}tj||dd}t|jd t|jddd d S )	NrE   r   r   r   r   r   g#B;r   )rU   r   rP   r   r
   r   )rY   ry   rZ   Ztest_greaterZ	test_lessr_   r_   r`   (test_negative_correlation_pvalue_gh17795  s    
z9TestCorrPearsonr.test_negative_correlation_pvalue_gh17795c                 C   sN   g d}g d}t ||}|\}}t|d t|ddd t| d d S )Nr   r   r   )r!   ir   rr   Hz>r   r   )rP   r   r
   r   r   )rY   ry   rZ   r   r   r   r_   r_   r`   #test_length3_r_exactly_negative_one  s    
z4TestCorrPearsonr.test_length3_r_exactly_negative_onec                 C   s$   g d}ddg}t ttj|| d S )Nr   r    r!   rw   rx   rP   r   rY   ry   rZ   r_   r_   r`   test_unequal_lengths  s    z%TestCorrPearsonr.test_unequal_lengthsc                 C   s    dg}dg}t ttj|| d S Nr   r   r   r   r_   r_   r`   	test_len1  s    zTestCorrPearsonr.test_len1c                 C   sR   g d}g d}d}t jt|d t|| W d    n1 sD0    Y  d S )N)y             y              y             z+This function does not support complex dataru   )pytestr   rx   rP   r   )rY   ry   rZ   messager_   r_   r`   test_complex_data  s
    z"TestCorrPearsonr.test_complex_datar   r   r   r   methodpermutationZmonte_carloc           
      C   s   t jd}|dkrdnd}|j|d}|j|d}tj|dtj|jfd dd	}|| }tj||||d
}tj|||d}	t|j	|	j	dd t|j
|	j
ddd d S )N   o#[mr   d     r   random_stater   )rvsr   )r   r   r   r   r   {Gz?MbP?r   r   )rU   randomdefault_rngnormalrP   ZPermutationMethodZMonteCarloMethodr   r
   r   r   )
rY   r   r   rngr   ry   rZ   methodsr   refr_   r_   r`   test_resampling_pvalue  s    
z'TestCorrPearsonr.test_resampling_pvaluec           	      C   sf   t jd}|jdd}|jdd}tj|||d}tj|d}|j|d}| }t||dd d S )	Nr   r   r   r   r   r   r   r   )	rU   r   r   r   rP   r   ZBootstrapMethodr   r
   )	rY   r   r   ry   rZ   r   r   Zres_ciZref_cir_   r_   r`   test_bootstrap_ci  s    z"TestCorrPearsonr.test_bootstrap_cic                 C   s   d}t jt|d( tjddgddgdd W d    n1 s@0    Y  tddgddg}t jt|d |jd	d W d    n1 s0    Y  d S )
Nz"`method` must be an instance of...ru   r   r   r   r    
asymptoticr  exact)r   r   rx   rP   r   r   )rY   r   r   r_   r_   r`   test_invalid_method  s    6z$TestCorrPearsonr.test_invalid_methodN)1r   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   markparametrizer   r   r   r   r   r   xslowr  r  r  r_   r_   r_   r`   r      sd   				
	
	r   c                   @   sz   e Zd ZdZdd Zd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ej	dg d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 ) N8   N  0u  @  r   g؞Y?r    r4   r   r   r   r!   g,Ԛ?r#   r$   g2c?r"   rE   gY
A?      g_?      gO^M?r   gօa?r   r   ggE?g$I$I?)rP   fisher_exactr	   )rY   r  r   r_   r_   r`   r   %  s0    

zTestFisherExact.test_basicc                 C   s  ddgddggdfddgddggdfdd	gd
d
ggdfddgddggdfddgddggdfd
dgd
d	ggdfd
dgd
dggdfddgd	dggt jdffddgd	dggdfdd	gddggt jdffdd	gddggdfg}|D ]4\}}tt |}t jj|d	 |d	 ddd qd S )Nr   r   r   r!   )gAn&	?g}K
T?r#   r$   )g	7?g?r   rE   )g!@j)A?r  r  )gU!a?gKY?r  r  )g7X?g~ltP?)gFu|?r  r   )rr   gQN^?r    gaa?rr   r   gaa?r   rF   T)r@   verbose)rU   infrP   r  asarraytestingr   )rY   ZtablisttableZres_rr   r_   r_   r`   test_precise@  s"    zTestFisherExact.test_precisec                 C   s|   ddgddgg}t |}t|d d ddgdd	gg}t |}t|d d
 ddgddgg}t |}t|d d d S )Nr"   %   l      r   gmt?   r   f   g,:^   0   i  i\B  gNQ8rP   r  r
   rY   ry   r   r_   r_   r`   test_gh4130X  s    


zTestFisherExact.test_gh4130c                 C   s0   ddgddgg}t |}t|d ddd d S )NiiX iV iW r   r   gѧRr   r&  r'  r_   r_   r`   test_gh9231n  s    
zTestFisherExact.test_gh9231c                 C   st   g d}t |g dD ]0\}}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    r4   iPF  i8 r  i_ g^K=?)ziprP   r  r	   )rY   pvalsr   numr   r_   r_   r`   test_large_numbersu  s    z"TestFisherExact.test_large_numbersc                 C   s    t ttjtddd d S )Nr"   r   r   )rw   rx   rP   r  rU   r   rS   rY   r_   r_   r`   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!   rE   r   )rP   r  r   rU   rV   )rY   tablesr  Z	oddsratior   r_   r_   r`   test_row_or_col_zero  s    
z$TestFisherExact.test_row_or_col_zeroc                 C   s  ddgddggddgddggddgdd	ggd
dgddggddgddggddgddggddgddggddgddggddgddggf	}ddgddgddgddgddgddgddgddgddgf	}t ||D ]L\}}g }|tj|ddd  |tj|d dd  t||dd!d" qd S )#Nr   r#   r$   r!  i,     rB   r"   i     i   i  r   r   r   r    gI[?gq}!?r   g2\&gQp6g:O_?g a?皙?ffffff??333333?UUUUUU?r   r   r   r   r   )r   r   )r-  appendrP   r  r
   )rY   r3  r.  r  r   r   r_   r_   r`   test_less_greater  s2    z!TestFisherExact.test_less_greaterc                 C   s   t ddgddgg\}}d S )Nr   r   r%   i")rP   r  )rY   Zoddsr   r_   r_   r`   test_gh3014  s    zTestFisherExact.test_gh3014r   r   r   r   c                 C   s:   t ddgddgg}tj||d}t|j|jf| d S )Nr  r  r  r  r   )rU   r   rP   r  r   r   r   )rY   r   r  r   r_   r_   r`   test_result  s    zTestFisherExact.test_resultN)r   r   r   r	  r   r  r(  r)  r   r
  slowr0  r2  r4  r=  r>  r  r@  r_   r_   r_   r`   r    s   


"r  c                   @   s   e Zd ZdZdd Zdd Zdd Zdd	 Zd
d Zdd Z	d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TestCorrSpearmanrr   c                 C   s"   t dd}tt|  d S )N      @       @)rP   	spearmanrr   rU   isnanallri   r_   r_   r`   test_scalar  s    zTestCorrSpearmanr.test_scalarc                 C   s0   t ttjg dddg t ttjg dd d S )Nr   r   r   r$   r%   )rw   rx   rP   rE  r1  r_   r_   r`   test_uneven_lengths  s    z%TestCorrSpearmanr.test_uneven_lengthsc                 C   s   t jd t jdd}t jdd}t||jjdks@J tj|j|jddj	jdks`J t
ttj||dd t
ttj|j|j d S )N鄋 r    r   r   r!   r!   r   r=   )rU   r   seedrandnrP   rE  r   shapeTr   rw   rx   r   r_   r_   r`   test_uneven_2d_shapes  s     z'TestCorrSpearmanr.test_uneven_2d_shapesc                 C   sz   t jd t jddd}tttj| tttj|| tttj|d d  ttj||d dtj|	 |	 dd d S )NrK  r    r   r   r=   r   )
rU   r   rM  rN  rw   rx   rP   rE  r
   flattenrY   ry   r_   r_   r`   test_ndim_too_high  s    z$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 )Nrm   r%   ro   rp   )r   rr   rs   rt   )rU   r   rV   r   rP   rE  rw   rx   rS  r_   r_   r`   test_nan_policy  s    

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!   rE   r"   r   r=   ro   rp   r   +=r   )	rU   r   rM  randrV   deleterP   rE  r
   )rY   ry   krZ   ZcorxZpxZcorypyr_   r_   r`   test_nan_policy_bug_12458  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!   rE   r   r   )r   rK   r   	propagater>   rq   c                    s$   g | ]  fd dt D qS )c              	      s2   g | ]*}t |d d f  d d f jqS N)rP   rE  r   .0i)jry   r_   r`   
<listcomp>      zJTestCorrSpearmanr.test_nan_policy_bug_12411.<locals>.<listcomp>.<listcomp>rangera  mry   rc  r`   rd    s   z?TestCorrSpearmanr.test_nan_policy_bug_12411.<locals>.<listcomp>)	rU   r   rM  rN  rV   rP   rE  rg  r
   )rY   ncorrr   r   r_   ri  r`   test_nan_policy_bug_12411  s    

z+TestCorrSpearmanr.test_nan_policy_bug_12411c                 C   s"   t tt}|d }t|d d S r   )rP   rE  rQ   r	   r   r_   r_   r`   test_sXX  s    zTestCorrSpearmanr.test_sXXc                 C   s"   t tt}|d }t|d d S r   )rP   rE  rQ   r   r	   r   r_   r_   r`   
test_sXBIG
  s    zTestCorrSpearmanr.test_sXBIGc                 C   s"   t tt}|d }t|d d S r   )rP   rE  rQ   r   r	   r   r_   r_   r`   test_sXLITTLE  s    zTestCorrSpearmanr.test_sXLITTLEc                 C   s"   t tt}|d }t|d d S r   )rP   rE  rQ   r   r	   r   r_   r_   r`   test_sXHUGE  s    zTestCorrSpearmanr.test_sXHUGEc                 C   s"   t tt}|d }t|d d S r   )rP   rE  rQ   r   r	   r   r_   r_   r`   test_sXTINY  s    zTestCorrSpearmanr.test_sXTINYc                 C   s"   t tt}|d }t|d d S r   )rP   rE  rQ   r   r	   r   r_   r_   r`   test_sXROUND  s    zTestCorrSpearmanr.test_sXROUNDc                 C   s"   t tt}|d }t|d d S r   )rP   rE  r   r	   r   r_   r_   r`   test_sBIGBIG#  s    zTestCorrSpearmanr.test_sBIGBIGc                 C   s"   t tt}|d }t|d d S r   )rP   rE  r   r   r	   r   r_   r_   r`   test_sBIGLITTLE(  s    z!TestCorrSpearmanr.test_sBIGLITTLEc                 C   s"   t tt}|d }t|d d S r   )rP   rE  r   r   r	   r   r_   r_   r`   test_sBIGHUGE-  s    zTestCorrSpearmanr.test_sBIGHUGEc                 C   s"   t tt}|d }t|d d S r   )rP   rE  r   r   r	   r   r_   r_   r`   test_sBIGTINY2  s    zTestCorrSpearmanr.test_sBIGTINYc                 C   s"   t tt}|d }t|d d S r   )rP   rE  r   r   r	   r   r_   r_   r`   test_sBIGROUND7  s    z TestCorrSpearmanr.test_sBIGROUNDc                 C   s"   t tt}|d }t|d d S r   )rP   rE  r   r	   r   r_   r_   r`   test_sLITTLELITTLE<  s    z$TestCorrSpearmanr.test_sLITTLELITTLEc                 C   s"   t tt}|d }t|d d S r   )rP   rE  r   r   r	   r   r_   r_   r`   test_sLITTLEHUGEA  s    z"TestCorrSpearmanr.test_sLITTLEHUGEc                 C   s"   t tt}|d }t|d d S r   )rP   rE  r   r   r	   r   r_   r_   r`   test_sLITTLETINYF  s    z"TestCorrSpearmanr.test_sLITTLETINYc                 C   s"   t tt}|d }t|d d S r   )rP   rE  r   r   r	   r   r_   r_   r`   test_sLITTLEROUNDK  s    z#TestCorrSpearmanr.test_sLITTLEROUNDc                 C   s"   t tt}|d }t|d d S r   )rP   rE  r   r	   r   r_   r_   r`   test_sHUGEHUGEP  s    z TestCorrSpearmanr.test_sHUGEHUGEc                 C   s"   t tt}|d }t|d d S r   )rP   rE  r   r   r	   r   r_   r_   r`   test_sHUGETINYU  s    z TestCorrSpearmanr.test_sHUGETINYc                 C   s"   t tt}|d }t|d d S r   )rP   rE  r   r   r	   r   r_   r_   r`   test_sHUGEROUNDZ  s    z!TestCorrSpearmanr.test_sHUGEROUNDc                 C   s"   t tt}|d }t|d d S r   )rP   rE  r   r	   r   r_   r_   r`   test_sTINYTINY_  s    z TestCorrSpearmanr.test_sTINYTINYc                 C   s"   t tt}|d }t|d d S r   )rP   rE  r   r   r	   r   r_   r_   r`   test_sTINYROUNDd  s    z!TestCorrSpearmanr.test_sTINYROUNDc                 C   s"   t tt}|d }t|d d S r   )rP   rE  r   r	   r   r_   r_   r`   test_sROUNDROUNDi  s    z"TestCorrSpearmanr.test_sROUNDROUNDc                 C   s,   t tt}d}t|| t|j|j d S r   )rP   rE  rQ   r   r   r   r   r   r_   r_   r`    test_spearmanr_result_attributesn  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!   )rP   rE  rU   r  rP  r
   rY   x1x2res1res2r_   r_   r`   test_1d_vs_2dt  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]  ro   r   r   r    r!   r"   r   rp   )rU   rV   rP   rE  r  rP  r
   )rY   rq   r  r  r  r  r_   r_   r`   test_1d_vs_2d_nans{  s    z$TestCorrSpearmanr.test_1d_vs_2d_nansc                 C   s   t d}| }t g d}t |||gj}t|}t g dg dg dg}t jdtd}d|d	d
d	f< d|d
d	d	f< t	|j
| t	|j| d S )Nr"   )r   r   r   r   r!   r    )r   rK   3+?)rK   r   3+)r  r  r   r   r   r;   g+Hs]s?r   r   )rU   r   r   r  rP  rP   rE  zerosfloatr
   r   r   )rY   r  r  x3ry   actualZexpected_corrZexpected_pvaluer_   r_   r`   
test_3cols  s    


zTestCorrSpearmanr.test_3colsc              
   C   s   t t jddddddgdt jddd	ddgg d
gj}t t jt jt jgt jt jt jgt jt jdgg}ttj|ddj| tj|ddj}t|d d |d d |d d fddd d S )Nr   rC  r3   ffffff@      @ffffff"@ffffff@g333333@皙@)r'   rC  ffffff@ffffff@       @r  ffffff@r   r]  rp   ro   r   r   r   )gacJC?g%ln?g_0nYt!޿r   r   )rU   r   rV   rP  r
   rP   rE  r   )rY   ry   rm  r   r_   r_   r`   test_gh_9103  s    "zTestCorrSpearmanr.test_gh_9103c           
      C   s   d}t jd t j|}t j|dk}|dk}t |}tj||ddj}t j||< tj||ddj}|	t j
}tj||ddj}g d}	t|||g|	 d S )Nr   iH r8  r'   ro   rp   )gonj?)Wn%?r  )rU   r   rM  rW  r   rP   rE  r   rV   astypeint32r
   )
rY   rl  ry   rj  r   r   r  r  res3expectedr_   r_   r`   test_gh_8111  s    

zTestCorrSpearmanr.test_gh_8111N)&r   r   r   r	  rH  rJ  rQ  rT  rU  r[  rn  ro  rp  rq  rr  rs  rt  ru  rv  rw  rx  ry  rz  r{  r|  r}  r~  r  r  r  r  r  r  r  r  r  r  r  r_   r_   r_   r`   rB    sF   
		rB  c                   @   s   e Zd ZdZdd Zdd Zdd Zdd	 Zd
d Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zejd d!d"d# Zd$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$   r#   gh
C?gR?r   r   )rP   rE  r	   rY   r  r  r  r   r_   r_   r`   test_spearmanr_vs_r  s    z&TestCorrSpearmanr2.test_spearmanr_vs_rc                 C   s   t tg g tjtjf d S r_  )r   rP   rE  rU   rV   r1  r_   r_   r`   test_empty_arrays  s    z$TestCorrSpearmanr2.test_empty_arraysc                 C   s   t jd t t jjddddt jjddddg}ddgddgg}t t j||}d}t	|d |d }t
|d |d  t
|d |d  d S )	Nz  r     locscaler   r   r:  )gCzYW?ge*=r   )rU   r   rM  r   r   dotlinalgcholeskyrP   rE  r	   )rY   ry   rm  r  r   r_   r_   r`   test_normal_draws  s    z$TestCorrSpearmanr2.test_normal_drawsc                 C   s"   t tg dg dd d d S )Nr   r   r   r   r   )r	   rP   rE  r1  r_   r_   r`   test_corr_1  s    zTestCorrSpearmanr2.test_corr_1c                 C   sp   t d}t j|d< tt||t jt jf ttj||ddd tttj||dd tttj||dd d S )Nrm   r%   ro   rp   )r   r   rs   rt   )	rU   r   rV   r   rP   rE  r
   rw   rx   rS  r_   r_   r`   test_nan_policies  s    

z$TestCorrSpearmanr2.test_nan_policiesc                 C   s(   t d}t d}tttj|| d S )Nrm         4@)rU   r   rw   rx   rP   rE  r   r_   r_   r`   r     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"   ro   rp   r   )rU   rV   rP   rE  r   r  r_   r_   r`   test_omit_paired_value  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  rE   i  i  r   ro   rp   gV-?)listrg  r<  rU   rV   r   rP   rE  r   r_   r_   r`   #test_gh_issue_6061_windows_overflow  s    
z6TestCorrSpearmanr2.test_gh_issue_6061_windows_overflowc                 C   s   d}t tj|d 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    n1 s0    Y  d S )Nr   ru   r   r   r   r   r   r   )r   rP   r   rE  r   rU   rV   )rY   warn_msgr   r   r_   r_   r`   	test_tie0  s    zTestCorrSpearmanr2.test_tie0c                 C   sF   g d}g d}g d}g d}t ||}t ||}t|| d S )Nr   rD  r   rC  )r   rD  rD  r   )r   r)   r)   rC  )rP   rE  r   r   )rY   ry   rZ   Zxryrsrprr_   r_   r`   	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    ro   rp   )rU   rV   rP   rE  r   )rY   r  r[   r  r\   Zsr1Zsr2r_   r_   r`   	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}d}ttj|d 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    n1 s0    Y  d S )Nr   r   r   r   r   r   ru   r   r=   rU   r   r   rP   r   rE  r   rV   )rY   z1Zz2Zz3r  r   r   r_   r_   r`   test_ties_axis_1%  s    z#TestCorrSpearmanr2.test_ties_axis_1c                 C   sz   t g d}t g d}d}ttj|d8 t||\}}t|t j t|t j W d    n1 sl0    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   ru   r  )rY   ry   rZ   r  r   r   r_   r_   r`   test_gh_111115  s    z TestCorrSpearmanr2.test_gh_11111c                 C   s4   t g d}t g d}tttj||dd d S )N)
r         @rD  r   r   r   r   r   r   r   r  r   r=   )rU   r   rw   rx   rP   rE  r   r_   r_   r`   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    n1 s0    Y  d S )Nr  r  r  r   r   r   r   r   r   alternative must be 'less'...ru   	ekki-ekki)rP   rE  r	   r   r   rx   r  r_   r_   r`   test_alternativeG  s    z#TestCorrSpearmanr2.test_alternativer   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 s0    Y  d	}tjt|d" tj||d
|d W d    n1 s0    Y  d S )Nr  r  ro   rq   r   r   The input contains nan valuesru   rs   nan_policy must be one of...r  )	rU   rV   r   rP   rE  r
   r   r   rx   )	rY   r   r  r  x1nanx2nan
res_actualres_expectedr   r_   r_   r`   test_alternative_nan_policy^  s(    


$
z.TestCorrSpearmanr2.test_alternative_nan_policyN)r   r   r   r	  r  r  r  r  r  r   r  r  r  r  r  r  r  r  r  r   r
  r  r  r_   r_   r_   r`   r    s$   
	r  c                  C   sl  d} g d}g d}d}| D ]4}t ||}t|d |d  t|d |d  qg d}g d}d}| D ]4}t ||}t|d |d  t|d |d  qjg d	}g d
}d}| D ]4}t ||}t|d |d  t|d |d  qg d}g d}d}| D ]6}t ||}t|d |d  t|d |d  qtd}td}d}| D ]:}t j|||d}t|d |d  t|d |d  qZ|d }|d |d< ||d< d}| D ]:}t j|||d}t|d |d  t|d |d  q|d }|d |d< ||d< d}| D ]:}t j|||d}t|d |d  t|d |d  qtd}tdd d d }d}| D ]:}t j|||d}t|d |d  t|d |d  q||d }|d |d< ||d< d}| D ]:}t j|||d}t|d |d  t|d |d  q|d }|d |d< ||d< d}| D ]:}t j|||d}t|d |d  t|d |d  q<tg d}tg d}d}tt j||ddd | d}tt j||d dd | |d |d< ttt j||d!d" ttt j||d#d" ttt j||d$d g d%}g d&}d'}t ||}t|d |d  t|d |d  d(}	| D ].}t j|||d}t||	 t	|j
|j q`| D ]x}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 qt	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$   r#   r    )gJkaa?r   rE   )r   紞xO~>)variantr   )g?>?aV>r!   r"   )g}'}'?o&5>rK   )r   r  )g?>r  )g}'}'r  )
r   r   r   r    r    r"   r"   r$   r%   r%   )
r   r   r    r    r    r    r$   r$   r$   rE   gok|?r   gffffff?r  r  r  ZbananaZrmsrG   r   r   rG   r   r   r    r#   r   r   )g}+޿g`=i?r   r  r  r  r  r  r   r:  )g\zf?g^n)=r  g#q?rm   r%   ro   rp   )r   g/>r   r   r  )rq   r   )r   g&?rs   rt   r  r  r;   i  r   )rP   
kendalltaur	   rU   r   r   rw   rx   r   r   r   r   rV   r   rM  r   r  r  r  r   r
   r  maZmasked_greaterconcatenater   isfinite)variantsry   rZ   r  Ztauxr   r   r  r  r   rm  taup_valuer_   r_   r`   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   rE   r   r   )
rU   r   rM  rg  r  shufflemstats_basicr  rP   r	   )sr   rb  r   r  r  r_   r_   r`   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@ro   rp   r   r   r   )rU   rV   rP   r  r
   r   )ry   rZ   r1r2r_   r_   r`   test_kendalltau_nan_2nd_argp  s
    r  c                   C   sB   t jtdd  tjg g dd W d    n1 s40    Y  d S )Nz/'kendalltau' keyword argument 'initial_lexsort'ru   T)Zinitial_lexsort)r   warnsDeprecationWarningrP   r  r_   r_   r_   r`   #test_kendalltau_dep_initial_lexsortz  s
    r  c                  C   sf   dd l } | d g d}d}| j||d}| j||d}t||}t|jd t|jddd	 d S )
Nr   i_ r   r   r   r    r!   r"   r#   i@ rY  g*8_2\S?gd`TR?gMb`?r   )r   rM  choicesrP   r  r
   r   r   )r   classesZ	n_samplesry   rZ   r   r_   r_   r`    test_kendalltau_gh18139_overflow  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$e)d%d& Z*ejd'd(ejd)d*d+d, Z+d-S ).TestKendallTauAlternativec                 C   s  g d}g d}t j||dd}|d dks0J t j||dd}t|d |d  t|d d|d d   t j||d	d}t|d |d  t|d |d d  |  t j||dd}|d dk sJ t j||d	d}t|d |d  t|d d|d d   t j||dd}t|d |d  t|d |d d  tjtd
d  t j||dd W d    n1 sv0    Y  d S )Nr  r  r   r   r   r   r   r   r   r  ru   r  )rP   r  r   r
   reverser   r   rx   r  r_   r_   r`   &test_kendalltau_alternative_asymptotic  s*    z@TestKendallTauAlternative.test_kendalltau_alternative_asymptotic)r   r   r   )r   r   r'   )r   RUUUU?ZUUUU?)g~?r  r   )?r   r  )ˮ[?r   r  )g?gSǌ?gSǌ?)g:
?g3
?g<t'.?)gN  A?gss?gYss?c           	      C   s@   |rt | }|d9 }tj||d|d}||f}t|| d S )NrK   r  r   r   )rU   r  rP   r  r
   )	rY   ry   rZ   r   revstat_expected
p_expectedr   r  r_   r_   r`   
exact_test  s    z$TestKendallTauAlternative.exact_testFr   Tzalternative, p_expected, revc                 C   s,   dgdg }}t j}| |||||| d S r   )rU   rV   r  rY   r   r  r  ry   rZ   r  r_   r_   r`   test_against_R_n1  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  r_   r_   r`   test_against_R_n2  s    z+TestKendallTauAlternative.test_against_R_n2c                 C   s.   g dg d }}d}|  |||||| d S )Nr   r   r
  r  r_   r_   r`   test_against_R_c0  s    z+TestKendallTauAlternative.test_against_R_c0c                 C   s.   g dg d }}d}|  |||||| d S )Nr   )r   r   r    r   gVUUUUU?r
  r  r_   r_   r`   test_against_R_c1  s    z+TestKendallTauAlternative.test_against_R_c1c                 C   s.   g dg d }}d}|  |||||| d S )Nr  )r   r!   r    r   r   r   r
  r  r_   r_   r`   test_against_R_no_correlation  s    z7TestKendallTauAlternative.test_against_R_no_correlationc                 C   s.   g dg 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`   test_against_R_no_correlationb  s    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)   r3   @rC  g@ffffff@r  gqq?r
  r  r_   r_   r`   test_against_R_lt_171  s    z/TestKendallTauAlternative.test_against_R_lt_171c                 C   s@   t jd t jd}t jd}d}| |||||| d S )Nr   r   gUm*,rU   r   rM  rW  r  r  r_   r_   r`   test_against_R_lt_171b$  s
    z0TestKendallTauAlternative.test_against_R_lt_171bc                 C   s@   t jd t jd}t jd}d}| |||||| d S )Nr      gH4?r  r  r_   r_   r`   test_against_R_lt_171c0  s
    z0TestKendallTauAlternative.test_against_R_lt_171czalternative, revc                 C   st   t jd t jd}t jd}tj||d|d}tj||d|d}t|d |d  t|d |d dd d S )	Nr   i  r  r  r  r   r   r   )rU   r   rM  rW  rP   r  r   r
   )rY   r   r  ry   rZ   res0r  r_   r_   r`   test_gt_171;  s    

z%TestKendallTauAlternative.test_gt_171r   )r  r  r   r?  c           
      C   s  g d}g d}|t jg }|t jg }tj||||d}t jt jf}t|| tj||d||d}tj||||d}t|| d}	tjt|	d$ tj||d||d W d    n1 s0    Y  d	}	tjt|	d$ tj||d
||d W d    n1 s0    Y  d S )Nr  r!   r"   r#   r$   r%   r  ro   )rq   r   r   r  ru   rs   r  r  )rU   rV   rP   r  r
   r   r   rx   )
rY   r   r   r  r  r  r  r  r  r   r_   r_   r`   rU  G  s4    




$
z)TestKendallTauAlternative.test_nan_policyN),r   r   r   r  alternativesrU   rV   Zp_n1Zp_n2Zp_c0Zp_c1Zp_no_correlationZp_no_correlationbZ
p_n_lt_171Zp_n_lt_171bZp_n_lt_171cr  r  r-  reversedZ	case_R_n1r   r
  r  r	  Z	case_R_n2r  Z	case_R_c0r  Z	case_R_c1r  Zcase_R_no_corrr  Zcase_no_cor_br  Zcase_R_lt_171r  Zcase_R_lt_171br  Zcase_R_lt_171cr  Zcase_gt_171r  rU  r_   r_   r_   r`   r    s   4









r  c                  C   s2  g d} g d}t | |\}}t|d ttj| t j| |dd\}}t|d ttj| t j| |dd d	\}}t|d
 ttj| t | |}d}t|| t|j|j t j| |d d\}}t|d ttj| t j|| d d\}}t|d ttj| t j| |d dd\}}t|d ttj| t j|| d dd\}}t|d ttj| t j| |dd\}}t|d ttj| t j| |ddd d\}}t|d
 ttj| t j|| ddd d\}}t|d
 ttj| t tj	| tj
d|\}}t|d t tj	| tjd|\}}t|d t tj	| tj
dtj	|tj
d\}}t|d t g g \}}ttj| ttj| t dgdg\}}ttj| ttj| ttt jddgg d ttt jddgddgdg g d} ddddtjg}t | |\}}t|d ddtjddg} t | |\}}t|d g d} d d!d"d tjg}t | |\}}t|d d#d$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$F)additivegROoc                 S   s   dS Nr   r_   ry   r_   r_   r`   <lambda>t  re  z"test_weightedtau.<locals>.<lambda>)weigherr  r   )rankgڿgn)r#  r  g @ڿg[đ(gIکnTc                 S   s   dS r  r_   r   r_   r_   r`   r!    re  )r#  r"  c                 S   s   dS r  r_   r   r_   r_   r`   r!    re  r;   r   r   r   r   r   r    r#   rG   r   )      (@rD  r   r%  rD  r   rC  r  r%  rD  )r%  rD  r   r%  r   )r   rC  r  r   r   gt34+)rP   weightedtaur	   r   rU   rV   r   r   r   r  r   int16rw   rx   )ry   rZ   r  r  r   r   r_   r_   r`   test_weightedtauj  s    












(






r(  c                   C   s6   t dgdg t dgdg t tjgdg d S )Nr   r   4   )rP   r&  rU   rV   r_   r_   r_   r`   test_segfault_issue_9710  s    r*  c                  C   sZ   d} t | d t}t | d t}t j|d< tj||ddd\}}t|d d S )N   r   rK   r  ro   )r   rq   rr   )rU   r   r  r  rV   rP   r  r   )rl  ry   rZ   _r   r_   r_   r`   test_kendall_tau_large  s    
r-  c               
   C   s   dd } dd }t jd tddD ]}g }t|D ]}||g| 7 }q6t|}t j| t j| t jt|t jd}td	D ]H}d
D ]2}| |||||}	t	
|||||j}
t|	|
 qt j| qq&d S )Nc                 S   s`  d } } } }}	t tt| tt| D ]
\}
}|rT|||
 |||  n|||
 |||  }||7 }| |
 | | kr||7 }||
 || kr|	|7 }	| |
 | | k r||
 || k s| |
 | | kr||
 || kr||7 }q.| |
 | | k r||
 || ks2| |
 | | kr.||
 || k r.||7 }q.|| t||  t||	  S Nr   )r   rg  lenrU   r   )ry   rZ   r#  r"  addZtotZconcZdiscuvrb  rc  wr_   r_   r`   wkq  s    $@
D
z*test_weightedtau_vs_quadratic.<locals>.wkqc                 S   s   d| d  S )Nr   r   r_   r   r_   r_   r`   r"    s    z.test_weightedtau_vs_quadratic.<locals>.weigherr  r   rE   r;   r   rI   )rU   r   rM  rg  r  r  r   r/  ZintprP   r&  r   r	   )r4  r"  r  r   rb  r   r#  r,  r0  r  r  r_   r_   r`   test_weightedtau_vs_quadratic  s"    r5  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   rP   Zfind_repeatsr   )rY   r   r   numsr_   r_   r`   r     s    zTestFindRepeats.test_basicc                 C   s8   g dg fD ]&}t |\}}t|g  t|g  qd S )N)rE   r  2      (   r7  )rY   r   Zrepeatedcountsr_   r_   r`   test_empty_result  s    
z!TestFindRepeats.test_empty_resultN)r   r   r   r   r=  r_   r_   r_   r`   r6     s   r6  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   rr   )	rP   
linregressrQ   r   r   	interceptrvaluestderrintercept_stderrrY   r   r_   r_   r`   test_linregressBIGX  s
    z"TestRegression.test_linregressBIGXc                 C   s@   t tt}t|jd t|jd t|jd t|jd d S )Nrr   r   )rP   r?  rQ   r   r@  rA  rB  rC  rD  r_   r_   r`   test_regressXX  s
    zTestRegression.test_regressXXc                 C   s(   t tt}t|jd t|jd d S )Nrr   )rP   r?  rQ   ZEROr   r@  rA  rD  r_   r_   r`   test_regressZEROX1  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?rE   r  穷4_Qc?)rU   linspacesinrP   r?  _stats_mstats_commonLinregressResultr   
isinstancer   rB  )rY   ry   rZ   r   lrr_   r_   r`   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 sp0    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r|j
ksn J d S )Nr   r   rI  rE   r  r  ru   r  r   r   r   r   r   r   )rU   rK  rL  r   r   rx   rP   r?  r
   r   rA  )rY   ry   rZ   r  r  r  r_   r_   r`   test_regress_alternativeE  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   >   r%  r   r   gؗh?gJK@:Cgag?g->g5ՒO?g]؊E @)rP   r?  r
   sloper@  rA  rU   r   r   rB  rC  rY   ry   rZ   r   r_   r_   r`   test_regress_against_RZ  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   rI  rE   r  rJ  8?)	rU   rK  rL  vstackrP   r?  r   rB  rC  )rY   ry   rZ   rowsr   r_   r_   r`   test_regress_simple_onearg_rowsm  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   rI  rE   r  r   rJ  rg  )
rU   rK  rL  hstackexpand_dimsrP   r?  r   rB  rC  )rY   ry   rZ   columnsr   r_   r_   r`   test_regress_simple_onearg_colsy  s    
z.TestRegression.test_regress_simple_onearg_colsc                 C   s   t ttjtd d S )Nr  )rw   rx   rP   r?  rU   onesr1  r_   r_   r`   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 )NrF   r!   r  r   r   rK   c                 S   s   t | |ddS )NrC   r?   )r   ry   rZ   r_   r_   r`   	assert_ae  s    z1TestRegression.test_linregress.<locals>.assert_aer   r3   gePUn?g.bt>gڽE?gʺL7?)
rU   r   rP   r?  rd  r@  rA  r   rB  rC  )rY   ry   rZ   r   rs  r_   r_   r`   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   rK   )
rU   rK  rP   r?  r   rA  r   rF  rB  rC  )rY   r   rl  ry   rZ   r   r_   r_   r`    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   rI  rE   r  )rd  r@  rA  r   rB  rC  )rU   rK  rL  rP   r?  rM  rN  r   rO  r   dir)rY   ry   rZ   r   rP  r   r_   r_   r`   !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!   rr   )rU   r   rP   r?  r   r   rB  rC  rY   ry   rZ   r   r_   r_   r`   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   rr   )	rU   r   ro  rP   r?  r   r   rB  rC  ry  r_   r_   r`   'test_regress_two_inputs_horizontal_line  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)$rI  gfffffu@ǧ]@g̤@333333$@g     Pl@gfffff҄@gfffff"@g	|@g     H@gq@皙?333333?g     <@g33333ׄ@g      u@g     {@g333333'@g     `@33333l@gfffff@g̼@g^@r:  r:  gffffff@g1u@g@g     8@g     X@g333333&@g33333]@gfffffl@g@fffff|@r'   )$r7  g,u@gfffff]@     @r  r  g     @     4@g|@33333W@gy@r:  r7  gP@gfffff@4u@r  g%@gm@gl@g     0@gfffffƋ@gfffff]@r:  r~  gl@r  r  r  r  gffffff$@gffffff]@g̜l@g33333@g33333|@rI  g?g!пr   gpX?rr   gh-h*<?gg?)	rP   r?  r   rd  r@  rA  r   rB  rC  ry  r_   r_   r`   test_nist_norris  s    zTestRegression.test_nist_norrisc                 C   sz   t ddd}dt ddd d }|t t ddd7 }t||}t ||d}t|j|d  t|j|d  d S )Nr   r   rI  rE   r  r   )	rU   rK  rL  rP   r?  Zpolyfitr   rd  r@  )rY   ry   rZ   r   Zpolyr_   r_   r`   test_compare_to_polyfit  s    z&TestRegression.test_compare_to_polyfitc                 C   s   t ttjg g  d S r_  )rw   rx   rP   r?  r1  r_   r_   r`   test_empty_input  s    zTestRegression.test_empty_inputc                 C   s   t d}t j|d< t jdd t||}W d    n1 sB0    Y  tjj}tt	|| t
|t jfd  t|jt j d S )Nrm   r%   ignoreinvalidr!   )rU   r   rV   errstaterP   r?  rM  rN  r   rO  r   r   rC  )rY   ry   r   rP  r_   r_   r`   test_nan_input  s    

*zTestRegression.test_nan_inputc                 C   sV   t d}t jd}d}tt|d t|| W d    n1 sH0    Y  d S )NrE   z$Cannot calculate a linear regressionru   )rU   r  r   rw   rx   rP   r?  )rY   ry   rZ   rz   r_   r_   r`   test_identical_x
  s
    
zTestRegression.test_identical_xN)r   r   r   rE  rF  rH  rQ  rR  rf  rj  rn  rp  rt  rv  rx  rz  r{  r  r  r  r  r  r_   r_   r_   r`   r>    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 sd0    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.ru   Zjoint_separater  Zjointrr   )r   r   r   r    rE   rG      )r%   r     r  -   7   N   gQ?Zseparater    rC  gQ@r   r?   gGz@r  )rP   Ztheilslopesr   r   r   rx   )rd  r@  lowerupperrz   ry   rZ   r_   r_   r`   test_theilslopes  s6    

0








r  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   rC  r3   r  )r(   r!   )r  Zdefaultreallimitsr   )Zcumcountrk   binsizeextrapoints)rP   Zcumfreqr   rU   r   r   r   )ry   Zcumfreqslowlimr  r  r   r   r_   r_   r`   test_cumfreq4  s    r  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 )Nr  r    r  )r'   K}\UU?r  r  )Z	frequencyrk   r  r  )rU   r   rP   Zrelfreqr   r   )r   Zrelfreqsr  r  r  r   r   Z	relfreqs2r_   r_   r`   test_relfreqB  s    


r  c                   @   sL   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dS )TestScoreatpercentilec                 C   s"   g d| _ g d| _g d| _d S )N)r   r    r!   rE   rL   r"   )r   rq  r$   r#   r    r   r   )r   r    r!   rE   rL   r  r  r  )a1a2a3r1  r_   r_   r`   setup_methodT  s    

z"TestScoreatpercentile.setup_methodc                 C   sF   t dd }tt|dd tt|dd tt|dd d S )	Nr$   r'   r   rr   r   r*   r9        ?)r   r   rP   scoreatpercentilerS  r_   r_   r`   r   Y  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 )NrE   r9  r+   r   r#   r   r   r$   )limitr   rE   r   rE   r   r  r   rE   r,   fractioninterpolation_methodr  r  rP   r  r   r  rg  rU   r   rY   scoreatpercr_   r_   r`   test_fraction_  s:    z#TestScoreatpercentile.test_fractionc                 C   s:  t j}t|ttddddd t|ttddddd t|ttdddddd t|ttddddd	d t|ttd
ddddd t|ttd
ddddd t|tg dddddd t|tg ddddd	d
 t|tg dddddd t|tg ddddd	d d S )NrE   r9  r  r  r    higherr!   r  r  r   r  r  r  r  r   r  r  r_   r_   r`   test_lower_highery  sf    z'TestScoreatpercentile.test_lower_higherc                 C   s   t dd }tg d}t|g d}t|| tt|tj tt|tg d| tjt d	dtg ddd	}tg d
g dg dg dg}t|| d S )Nr$   r'   )r   r*   r  )r   r   r9  rG   r   r    )r   r   r   r   r   r=   )r   r    r$   )Q?gQ@g(\ @r   r#   rF   )
r   rU   r   rP   r  r
   r   rO  ZndarrayrS   )rY   ry   r  r   r  Z	expected2r_   r_   r`   test_sequence_per  s"    
z'TestScoreatpercentile.test_sequence_perc                 C   s   t j}tddd}t||dg d g dg dg dg}t||dd	d
| g dg dg dg}t||ddd
| tg dg dg dg dg dg}t |d}t|jd t|d t j|dd	d
}t|jd t|g d d S )NrG   r   r    )r  r9  r   )g      @r,         &@)r   r   r    r!   r    r!   r"   r#   )r$   r%   rE   rF   r   r=   )      ?g      @g     !@)r(   r,         #@r  r   r   r   r   )r    r    r   r9  r_   r   r   )rP   r  r   rS   r   r   rO  )rY   r  ry   Zr0r  scorer_   r_   r`   	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^  rt   r  e   rK   )rw   rx   rP   r  r1  r_   r_   r`   test_exception  s
    z$TestScoreatpercentile.test_exceptionc                 C   sT   t tg dtj t ttg g gdtj t tg ddgtjtjg d S )Nr9  c   )r   rP   r  rU   rV   r   r1  r_   r_   r`   
test_empty  s    z TestScoreatpercentile.test_emptyN)r   r   r   r  r   r  r  r  r  r  r  r_   r_   r_   r`   r  S  s   r  zignore::FutureWarningc                
   @   s:  e Zd Zdd Zdd Zdd Zdd Zej	d	e
d
ddd Zdd Zdd Zej	dg dde
jddddgg dde
jddggej	dddgdd Zej	d	e
dde
jfddZd d! Zd"d# Zej	d$d%d&gd'd( Zd)d* Zejd+ej	d,e
d-e
d.gd/d0 Zd1d2 Zd3S )4TestModec                 C   s2   t g \}}t|tg  t|tg  d S r_  rP   moder   rU   r   rY   valsr<  r_   r_   r`   r    s    zTestMode.test_emptyc                 C   s6   t d\}}t|tdg t|tdg d S )NrC  r   r  r  r_   r_   r`   rH    s    zTestMode.test_scalarc                 C   s2   g d}t |}t|d d t|d d d S )Nr   r!   r   rE      r   r   r"   r$   r"   rE   r"   r   r"   r   r   rP   r  r   )rY   data1r  r_   r_   r`   r     s    
zTestMode.test_basicc              	   C   s$  g d}g d}g d}g d}g d}t |||||g}tj|d dd}t|d t d	gg t|d
 t dgg tj|ddd}t|d t g dg t|d
 t g dg tj|d
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)rE   rE   r:  r;  )rE   rE   rE   rE   )r  rE   r  r  )r:  r:  r:  r:  )r;  r:  r:  r:  Tr>   keepdimsr   r:  r   r$   )rE   rE   r:  r:  )r   r   r   r   rE   r  r   r    r   )rU   r   rP   r  r   )rY   r  data2Zdata3Zdata4Zdata5Zarrr  r_   r_   r`   	test_axes  s    (zTestMode.test_axesr>   r   r   c                 C   sR   t jd t jdddd}tj||j| d}tj||d}t j|| d S )N:rE   rF   rG   rH   r=   )	rU   r   rM  rW  rP   r  ndimr  r   )rY   r>   r   r  r  r_   r_   r`   test_negative_axes_gh_15375  s
    z$TestMode.test_negative_axes_gh_15375c                 C   s<   g d}g }t |}d}t|| t |}t|| d S )Nr  )r  count)rP   r  r   )rY   r  r  r  r   Zactual2r_   r_   r`   test_mode_result_attributes  s    


z$TestMode.test_mode_result_attributesc                 C   st   dt jdddddddddddg}t|}t|d	 tj|d
d}t|d	 tttj|dd tttj|dd d S )Nr   r!   r   rE   r  r   r"   r$   )r"   r   ro   rp   rs   rt   )rU   rV   rP   r  r   rw   rx   )rY   r  r  r_   r_   r`   test_mode_nan 	  s     


zTestMode.test_mode_nandata)r   r!   r   r   r   r   r!   r   )r   r!   r   r  FTc                 C   s:   t j|d|d}|r(t|d d d nt|d d d S )Nro   )rq   r  r   r   r  )rY   r  r  r   r_   r_   r`   test_smallest_equal
	  s    zTestMode.test_smallest_equalrL   c                 C   sj   t jd}|jdd|}tj||dd}t|j}|	| t j
|jj| t j
|jj| d S )Nr  )r   r    r!   r   Fr  )rU   r   r   uniformr  rP   r  r  rO  popr  r   r  )rY   r>   r<   r   r   r   Zreference_shaper_   r_   r`   test_mode_shape_gh_9955	  s    

z TestMode.test_mode_shape_gh_9955c                 C   sF   dt jdt jg}tt jdkrBt|}t |jr>|jdksBJ d S )Nr   r   1.21.0)rU   rV   r   __version__rP   r  rF  r  )rY   r   r   r_   r_   r`   !test_nan_policy_propagate_gh_9815"	  s    
z*TestMode.test_nan_policy_propagate_gh_9815c                 C   sF  t d}tj|ddd}|jj|jj  kr6dks<n J tj|ddd}|jj|jj  krhdksnn J dddt jgddt jdgg}tj|ddd}t|jddg t|jd	dg tj|ddd}t|jdgdgg t|jd	gdgg t |}tj|d dd}tj|	 dd
}t|| |jj|jj  krHdksNn J tj|d dd}tj|	 dd
}t
|j	 |j	  |jjdksJ t
|j	 |j	  |jjdksJ dt jt jt jdgt jt jt jt jd	gdd	t jddgg}tj|dddd}t|jg d t|jg d tj|dddd}t|jdgd	gdgg t|jd	gdgd	gg t |}tj|d ddd}tj|	 ddd}t|| |jj|jj  krdksn J tj|d ddd}tj|	 ddd}t
|j	 |j	  |jjdksJ t
|j	 |j	  |jjdksBJ d S )N)r   r   r   r   r   Fr  )r   r   r   T)r   r   r   r   r   r   r  r_   r   r   r!   ro   )r>   r  rq   )r   r   r!   )r   r   r   )r  rq   )rU   r  rP   r  rO  r  rV   r   r   ravelr   )rY   r   r   r  r_   r_   r`   test_keepdims*	  sX    
""

&

&zTestMode.test_keepdimsrq   r]  ro   c                 C   s   d}t |}t j|d< tj|dd|d}t|jg d t|jg d t dt jfd	t j	d
fg}t j
d|d}tjtdd tj||d W d    n1 s0    Y  d S )N)r    r   r   r   r   F)r   r>   r  rq   r  r   r   r   r   ZasdfZqwerr  rE   r;   zArgument `a` is not...ru   rp   )rU   ro  rV   rP   r  r   r  r<   uint8r   r  r   r   	TypeError)rY   rq   rO  r  r   Zmy_dtypetestr_   r_   r`   test_gh16955f	  s    

zTestMode.test_gh16955c                 C   s   t g }tjdf}t|| t jtjgdd}t|| g dtjtjtjgg}t j|ddd}dtjgddgf}t|| ttjd	krt j|dd
d}dtjgddgf}t|| tg g g}t j|dd}tjtjgddgf}t|| d S )Nr   ro   rp   )rm   r  r  r   r^  r  r   r  r]  r   r=   )rP   r  rU   rV   r   r   r  r   )rY   r   r  r   zr_   r_   r`   test_gh9955w	  s"    





zTestMode.test_gh9955zignore::RuntimeWarningr  r$  r  c                 C   sV   t j|d dd}tj|d dd}|d j|d j  krL|j  krLdksRn J d S )NTr  r   r   r  )rP   r  rU   rT   rO  )rY   r  r   r  r_   r_   r`   test_gh17214	  s    zTestMode.test_gh17214c                 C   s   d}G dd d}t jt|d$ t|td W d    n1 sJ0    Y  t jt|d$ ttjdtd W d    n1 s0    Y  d S )Nz*Argument `a` is not recognized as numeric.c                   @   s   e Zd Zdd Zdd ZdS )z8TestMode.test_raise_non_numeric_gh18254.<locals>.ArrLikec                 S   s
   || _ d S r_  )_xrS  r_   r_   r`   __init__	  s    zATestMode.test_raise_non_numeric_gh18254.<locals>.ArrLike.__init__c                 S   s   | j tS r_  )r  r  objectr1  r_   r_   r`   	__array__	  s    zBTestMode.test_raise_non_numeric_gh18254.<locals>.ArrLike.__array__N)r   r   r   r  r  r_   r_   r_   r`   ArrLike	  s   r  ru   r   r;   )r   r   r  rP   r  rU   r   r  )rY   r   r  r_   r_   r`   test_raise_non_numeric_gh18254	  s    2z'TestMode.test_raise_non_numeric_gh18254N)r   r   r   r  rH  r   r  r   r
  r  rU   r   r  r  r  rV   r  r   r  r  r  r  r  filterwarningsemptyr  r  r_   r_   r_   r`   r    s6   
	
	<

r  c                   @   s    e Zd Zg dZdZdd ZdS )TestSEMr   rC  c              	   C   s.  t  T}tjdd( |td t| j}W d    n1 sB0    Y  W d    n1 s`0    Y  tt	| t| j
}t|d t| j
}ttj| j
ddt||d   tj| j
dd td}tj|d	< tt|tj ttj|d
dd tttj|dd tttj|dd d S )Nr  r  !Degrees of freedom <= 0 for sliceg㝎?r   rb   r   rm   r%   ro   rp   gH=6?rs   rt   )r   rU   r  filterrX   rP   Zsemscalar_testcaser   rF  testcaser	   r/  r
   r   r   rV   r   rw   rx   )rY   r^   rZ   rl  ry   r_   r_   r`   test_sem	  s     H

"

zTestSEM.test_semN)r   r   r   r  r  r  r_   r_   r_   r`   r  	  s   r  c                   @   s   e Zd Zejdg dg dfg dg dfgdd Zdd Zd	d
 Zejdddgdd Z	ejdddgdd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zd d! Zd"d# Zd$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&   r   )rP   zmaprU   rT   rh   r
   )rY   ry   rZ   r  r  r_   r_   r`   	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rr   rr   r   r   )r   r   r   rD  )rD  rr   rD  rr   r   r;  r   r   rD  r   r=   r   r   rr   r   r   r   r   )r   r   r   r   )rU   r   r   rP   r   r   	rY   ry   t1t2t3z0r  z0_expectedz1_expectedr_   r_   r`   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  )rr   r   rD  r   r   r>   rc   )      r  r'   r'   r   r   )      r  r'   r(   g?r   )rU   r   rP   r   r   r   rY   ry   r  r
  r  r_   r_   r`   test_zmap_ddof	  s    
zTestZmapZscore.test_zmap_ddofrc   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 )
NrL   rK   r   r#   rG   ro   rc   rq   rb   )rU   r   rV   rP   r   r
   rF  )rY   rc   scorescomparer  r_   r_   r`   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   rK   r  r"      )r   r    rd   r  ro   r   )rq   r>   rc   r   rb   rV  r   )
rU   r   rS   rK  rV   rP   r   r   rF  r
   )rY   rc   r  r  r  r  r_   r_   r`   #test_zmap_nan_policy_omit_with_axis 
  s     



z2TestZmapZscore.test_zmap_nan_policy_omit_with_axisc                 C   sh   t g d}t dddddt jg}tjtdd  tj||d	d
 W d    n1 sZ0    Y  d S )Nr   r  rL   r   r#   rG   zinput contains nanru   rs   rp   )rU   r   rV   r   r   rx   rP   r   )rY   r  r  r_   r_   r`   test_zmap_nan_policy_raise
  s    z)TestZmapZscore.test_zmap_nan_policy_raisec                 C   s(   t g d}g d}t||dd d S )Nr   )gOT\wg%ܿg%?gOT\w?rG   r?   )rP   zscorer   )rY   rZ   desiredr_   r_   r`   test_zscore
  s    zTestZmapZscore.test_zscorec           	      C   s   t g dg dg dg}dt d }t dd }t d}tj|d	d
}tj|dd
}| | d | d dgd|| d |g|| d || gg}g d| | | t dgg dg}t|| t|| d S r  )rU   r   r   rP   r  r   r  r_   r_   r`   test_zscore_axis
  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  )rU   r   rP   r  r   r   r  r_   r_   r`   test_zscore_ddof5
  s    
zTestZmapZscore.test_zscore_ddofc                 C   s:   t ddt jddg}tj|dd}tt |s6J d S )Nr   r   r    r!   r]  rp   )rU   r   rV   rP   r  rG  rF  rY   ry   r  r_   r_   r`   test_zscore_nan_propagateA
  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!   ro   rp   gIHb=gIHb=gIHb=?gIHb=?)rU   r   rV   rP   r  r   rY   ry   r  r  r_   r_   r`   test_zscore_nan_omitF
  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   r3   r  r~   r   ro   r  rb   vIh%<=r   )rU   r   rV   rP   r  r_r
   r#  r_   r_   r`   test_zscore_nan_omit_with_ddofS
  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!   rs   rp   )rU   r   rV   rw   rx   rP   r  rS  r_   r_   r`   test_zscore_nan_raiseY
  s    z$TestZmapZscore.test_zscore_nan_raisec                 C   s0   dgd }t |}t|tt|tj d S )NgʡEr   )rP   r  r   rU   rf   r/  rV   r!  r_   r_   r`   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rm   rm   rm   rm   rm   r  r%        *@r   r=   r   r   r   )r   r"   )rU   r   rP   r  r   rV   r  rS   rO  ro  rf   )rY   ry   r	  r  r  rZ   r_   r_   r`   test_zscore_constant_input_2dc
  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*  rm   r  r%  ro   r   rq   r>   r(   r   r   r   r   )rU   r   rV   rP   r  r   r
   )rY   ry   r	  r  s2r  r_   r_   r`   -test_zscore_constant_input_2d_nan_policy_omits
  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)rm   rm   r%  r%  ro   r   r.  r  )rU   r   rV   rP   r  r   r!  r_   r_   r`   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   ro   r.  )rU   rf   rV   rP   r  r   )rY   rZ   r  r_   r_   r`   test_zscore_2d_all_nan
  s    z%TestZmapZscore.test_zscore_2d_all_nanry   )r   r   r!   c                 C   s   t |}t|| d S r_  )rP   r  r   r!  r_   r_   r`   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?(/?)rP   gzscorer
   )rY   r  r  r_   r_   r`   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   rK   r   r    )r   r   r   r   r   maskr5  r6  r7  r8  )rU   r   r  masked_arrayrP   r9  r  r
   )rY   ry   Zmxr  r  r_   r_   r`   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-  r0  r1  r3  rU   r   r  r4  r:  r>  r_   r_   r_   r`   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   sR   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)   rA  r  rB  rC  rC  r  rD  r  r  r  r*   r  rE  rE  rE  rE  rF  rG  g33333<@)rU   r   rV   dat_nandatr1  r_   r_   r`   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=   gQ?r"   r    r   )gףp=
?r'   ?r}  )r   rP   median_abs_deviationrI  rS   rU   r  r   )rY   rI  madZmad_expectedr_   r_   r`   test_median_abs_deviation
  s    z0TestMedianAbsDeviation.test_median_abs_deviationc                 C   s   t j| jdd}t|d d S )Nro   rp   g(\?)rP   rL  rH  r   )rY   rM  r_   r_   r`   test_mad_nan_omit
  s    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   rD  r   rC  )r   rC  r3   r  r~   r   r=   rU   r   rV   rP   rL  r   )rY   ry   rM  r_   r_   r`   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  ro   rp   r   )rU   r   rV   r  rP   rL  r   )Zsefr  rM  r_   r_   r`   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=   
fill_value)rU   r  rP   rL  r   	full_likesumrV   )rY   r>   ry   rM  r_   r_   r`   test_size_zero_with_axis
  s    
z/TestMedianAbsDeviation.test_size_zero_with_axisznan_policy, expectedro   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%   rE   r.  rP  )rY   rq   r  ry   rM  r_   r_   r`   test_nan_policy_with_axis
  s    z0TestMedianAbsDeviation.test_nan_policy_with_axiszaxis, expectedr   )r)   rD  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   rG   )rY  rY  r  r  ro   )centerrq   r>   r   r   )rU   r   rV   rP   rL  rT   r
   )rY   r>   r  ry   rM  r_   r_   r`   test_center_mean_with_nan
  s    z0TestMedianAbsDeviation.test_center_mean_with_nanc                 C   sD   t jtdd" tjg ddd W d    n1 s60    Y  d S )Ncallableru   )r   r   r   r!   r  rZ  )r   r   r  rP   rL  r1  r_   r_   r`   test_center_not_callable
  s    z/TestMedianAbsDeviation.test_center_not_callableN)r   r   r   rJ  rN  rO  rQ  rR  r   r
  r  rW  rU   r   rV   rX  r[  r^  r_   r_   r_   r`   r?  
  s$   


r?  c                 C   s,   t t| |d | D ]}t|j|u  qdS )z
    Checks that all of the warnings from a list returned by
    `warnings.catch_all(record=True)` are of the required type and that the list
    contains expected number of warnings.
    znumber of warningsN)r   r/  r   category)Z	warn_listexpected_typeexpected_lenZwarn_r_   r_   r`   _check_warnings
  s    rb  c                   @   sl   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd Zdd ZdS )TestIQRc                 C   s.   t dd }t j| tt|d d S )Nr$   r'   r  )rU   r   r   r  r   rP   iqrrS  r_   r_   r`   r   
  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 )NrL  r   r   r   )rE   Z   )r:  r  r   )r  r*  r(   r]  )r9  r9  r   rs   lineargٿro   r  T)rU   ro  rP   rd  )rY   dr_   r_   r`   test_api
  s    

zTestIQR.test_apic                 C   s.   t tg tj t ttdtj d S r.  )r   rP   rd  rU   rV   r   r1  r_   r_   r`   r    s    zTestIQR.test_emptyc                 C   sl  t d}tt|d ttj|ddt d ttj|ddt d ttj|dd	d ttj|d
d	d ttj|dd	d ttj|dd	d ttj|dd	d t dt d }ttj|ddt d ttj|ddt d ttj|ddt dd ttj|ddt d ttj|ddt dd ttj|ddt dd d S )N)r#   r    rr   r   r=   r    r   r#   rg  interpolationmidpointnearestr  r  )r    r!   r"   r"   )r!   r"   )r    r"   r   )r    r!   r)   re  r   r   r!   r   r   r   )	rU   ro  r   rP   rd  r   r  r   rf   r   r_   r_   r`   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   rr   Tr  )rU   r   r   rP   rd  r   rS  r_   r_   r`   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!   r3   r   r   rD  re  r\  )rU   r   rS   r   rP   rd  r   rf   rS  r_   r_   r`   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   rE   re  r=   rK   r   )r   r   r   rn  r$  r   i  r   r!   r#   rF   r   r   r   )r   r   r   r   )r   r   r   r   r   )r   rq  )r   r   r   r   r    r  )rU   r   r   dstackrP   rd  r   moveaxisZswapaxesr   r  rS   r  rw   	AxisErrorrx   )rY   ory   qrh  r_   r_   r`   r  )  sR    


$$$$   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@)r   r)   )g      )@r*  )rE   r9  g?)r   r  r  )r   r9  <   )
rU   r   r   rP   rd  r   rw   rx   rV   r  rS  r_   r_   r`   test_rngR  s    
zTestIQR.test_rngc                 C   s~  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rhdD ]}tj||d qRtttj|dd d S )Nr!   r    r   r(   rg  rj  r  )r  P   )r   rk  r   r  rm  r   rl  r)   z1.22.0)Zinverted_cdfZaveraged_inverted_cdfZclosest_observationZinterpolated_inverted_cdfZhazenZweibullZmedian_unbiasedZnormal_unbiasedrt   )	rU   r   r   rP   rd  r   r  rw   rx   )rY   ry   rZ   r   r_   r_   r`   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 )Nrv  Fr  r_   r   )r   r!   rF   re  )r#   rF   )r   r   )r!   r#   r   r  r   r   r   r   r  rw  )r#   Tr  )r   r!   r   rF   )r   r   r#   rF   )r   r!   r#   r   )r   r   r#   rF   )r   r   r#   r   )rU   ro  r   rP   rd  rO  rS  r_   r_   r`   r    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
p 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 s0    Y  tjd	d
f 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 s\0    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      .@rr  r]  rp   r#   ro   rs   ro  TrW   alwaysr   r^  r!   r   r   r.   )r   r)   r   Zbarfood)rU   r   rS   r   rP   rd  rV   warningscatch_warningssimplefilterrf   rw   rx   rS  r_   r_   r`   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 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 s60    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 tjtdd  tjdgdd W d    n1 s0    Y  d S )Nr  rr  r   r  r#   r   g=V^w@rD  r*   ro  Tr  r  r]  )r  rq   r   )r>   r  rq   r   gF7k?ro   r.   g	I1=@g      @rt   zThe use of 'scale="raw"'ru   raw)rU   r   rS   r   rP   rd  r   rV   r  r  r  r   rw   rx   r   r  r  rS  r_   r_   r`   
test_scale  sD    



$zTestIQR.test_scaleN)r   r   r   r   ri  r  rp  rq  rs  r  r  r  r  r  r  r_   r_   r_   r`   rc  
  s   )#rc  c                   @   sF  e Zd ZdZg dZdZejd ej	dZ
g dZdddd	d
Zejdddgejdedddd Zejdddgejdddd Zdd Zejdejejejgejdddgdd Zdd Zd d! Zd"d# Zd$d% Zd&d' Zd(d) Zd*d+ Zd,d- Zd.d/ Z d0d1 Z!d2d3 Z"d4d5 Z#d6d7 Z$dS )8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   rC    r  )gp=
ף?g?߾?gD9?gQI?g}?5^INrO  r<   c                C   sH   t |}|d urt ||}t|| |d u r6|j}|j|ksDJ d S r_  )rU   r  broadcast_tor   r<   )rY   r  expectrO  r<   r_   r_   r`   _assert_equal  s    

zTestMoments._assert_equalr   rE   )rE   r   zm, cr  )Nr   r   c                 C   sr   t jd}|j|d}tj|||d}|d u r>t j|ddn|}t j|| | ddt| }t||dd d S )Nl   rHZ r   r]  r   r=   缉ؗҜ<r   )	rU   r   r   rP   momentrT   rV  r/  r
   )rY   r   rj  r  r   ry   r   r  r_   r_   r`    test_moment_center_scalar_moment  s    z,TestMoments.test_moment_center_scalar_momentr  c                    sR   t jd}|j|dg d}tj| d} fdd|D }t|| d S )Nl   %~.}~= r   r  r]  c                    s   g | ]}t j| d qS )r]  )rP   r  r`  r  ry   r_   r`   rd    re  z?TestMoments.test_moment_center_array_moment.<locals>.<listcomp>)rU   r   r   rP   r  r   )rY   r   r  r   rj  r   r  r_   r  r`   test_moment_center_array_moment  s    z+TestMoments.test_moment_center_array_momentc                 C   sN  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 d}tj	t
|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 W d    n1 s0    Y  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 ) Nrr   r   r   r   rE   r         ?r   r         @r   )r   r  r   r  333333?)r   r   r   rC  Mean of empty slice.ru   r;   r\  r=   ru  r  r  )r  r>   )r   r   rO  rm   r%   ro   rp   rs   rt   )rP   r  r  r	   r  r
   rw   rx   r   r  rX   r  rU   rV   r   r   r   r  r   r   r   )rY   rZ   r   ry   r_   r_   r`   test_moment  sJ    






0

zTestMoments.test_momentr<   zexpect, momentre  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  r  r   )r   r   r    r!   r_   )rU   r   rW  r  rP   r  r  r  )rY   r<   r  r  ry   rZ   r_   r_   r`   test_constant_moments6  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   rK   r\  r   r]  r^  r  r   r   )
rU   r   rS   r  r  rV   rP   r  r  r
   )rY   r   mmr_   r_   r`   test_moment_propagate_nanH  s    
z%TestMoments.test_moment_propagate_nanc                 C   sD   t jtdd" tjg dg d W d    n1 s60    Y  d S )Nz7'moment' must be a scalar or a non-empty 1D list/array.ru   r   r  )r   r   rx   rP   r  r1  r_   r_   r`   test_moment_empty_momentP  s    z$TestMoments.test_moment_empty_momentc                 C   s   t | j}t|sJ t | j}t|dd t j| jdd}t|dd t | j}t|dd td}tj	|d< tj
d	d
" tt |tj	 W d    n1 s0    Y  tt j|ddd ttt j|dd ttt j|dd d S )Ng7l*ҿrE   r   biasg2۠ۿrr   rm   r%   r  r  ro   rp   rs   rt   )rP   skewr  rU   rF  testmathworksr	   r  r   rV   r  r   rw   rx   rY   rZ   ry   r_   r_   r`   test_skewnessV  s    

0zTestMoments.test_skewnessc                 C   s   t ttdd d S )NrE   rr   )r   rP   r  r   r1  r_   r_   r`   test_skewness_scalark  s    z TestMoments.test_skewness_scalarc                 C   sz   t dddt}t j|d< t jdd  tj|ddd	}W d    n1 sT0    Y  t j	j
|d
t jgdd d S )Nr$   r   rK   r\  r  r  r   r]  r^  r   r   r   )rU   r   rS   r  r  rV   r  rP   r  r  r
   )rY   r   r  r_   r_   r`   test_skew_propagate_nano  s
    
.z#TestMoments.test_skew_propagate_nanc              
   C   s   t jtdd tdd}tt|s0J tt|td sLJ tt|td shJ ttj|ddsJ ttdgd	 sJ ttd
t	ddd  sJ W d    n1 s0    Y  d S )NPrecision loss occurredru   9ѿrE              Fr  g,@r#   r   rL   r    r  )
r   r  rX   rU   repeatrF  rP   r  r  r   rY   r   r_   r_   r`   test_skew_constant_valuex  s    z$TestMoments.test_skew_constant_valuec                 C   s   t | j}t|sJ t j| jdddd}t|dd t j| jddd}t|dd t | jdd}t|d td}tj	|d	< t
t |tj	 tt j|d
dd ttt j|dd ttt j|dd d S )Nr   r   fisherr  gO߻S@rE   gx|N@g=
ףp=?rm   r%   ro   rp   Gzrs   rt   )rP   kurtosisr  rU   rF  r  r	   r  r   rV   r   r   rw   rx   r  r_   r_   r`   test_kurtosis  s    


zTestMoments.test_kurtosisc                 C   s   t ttg dtj d S )Nr   )r   typerP   r  rU   r   r1  r_   r_   r`   test_kurtosis_array_scalar  s    z&TestMoments.test_kurtosis_array_scalarc                 C   sN   t dddt}t j|d< tj|ddd}t jj	|dt jgd	d
 d S )Nr$   r   rK   r\  r   r]  r^  g(\r   r   )
rU   r   rS   r  r  rV   rP   r  r  r
   )rY   r   rY  r_   r_   r`   test_kurtosis_propagate_nan  s    
z'TestMoments.test_kurtosis_propagate_nanc                 C   s   t dd}tjtdd t tj|dds4J t tj|td ddsTJ t tj|td ddstJ t tj|dddsJ W d    n1 s0    Y  d S )	Nr  rE   r  ru   F)r  r  r  )	rU   r  r   r  rX   rF  rP   r  r  r  r_   r_   r`   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_accuracyrU   rT   r
   r   rP   r  )rY   Z
tc_no_meanr_   r_   r`   test_moment_accuracy  s    
z TestMoments.test_moment_accuracyc                 C   sh   t jtddF tjd}|jdd}d|d d df< t|d  W d    n1 sZ0    Y  d S )Nr  ru   l   :"z` )r   rE   r   )\(?r   )r   r  rX   rU   r   r   rP   r  )rY   r   r   r_   r_   r`   test_precision_loss_gh15554  s
    z'TestMoments.test_precision_loss_gh15554c                 C   sx   d}t jt|d tg  W d    n1 s20    Y  t jt|d tg  W d    n1 sj0    Y  d S )Nr  ru   )r   r  rX   rP   r  r  rY   r   r_   r_   r`   test_empty_1d  s
    (zTestMoments.test_empty_1d)%r   r   r   r	  r  r  rU   r   rM  rW  r  r  r  r   r
  r  r   r  r  r  r   r   Z
complex128r  r  r  r  r  r  r  r  r  r  r  r  r  r  r_   r_   r_   r`   r    s<   		/	

r  c                   @   s   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ejdg ddd Zdd ZdS )TestStudentTestr   r$  r   r   gSzgE.?g {gB4t?g {?g?r   c              	   C   s  t  Z}tjddd, |td tdd\}}W d    n1 sH0    Y  W d    n1 sf0    Y  tt| tt| t| j	d\}}t
|| j t
|| j t| j	d}d}t|| t| jd\}}t
|| j t
|| j t| j	d\}}t
|| j t
|| j t| j	d	\}}t
|| j t
|| j tjjd
dddd}tj|d< tjddh tt|dtjtjf t
tj|dddd tttj|ddd tttj|ddd W d    n1 s0    Y  d S )Nr  r  divider  rC  r   r   r   r   r   r   r!   rE   3   it r  r  r   r   r9  r  r3   ro   rp   )g̈́^Bg/kCm?rs   rt   )r   rU   r  r  rX   rP   ttest_1sampr   rF  X1r   T1_0P1_0r   X2T2_0P2_0T1_1P1_1T1_2P1_2normr   rV   r   rw   rx   )rY   r^   tr   r   r   ry   r_   r_   r`   test_onesample  sB    L

zTestStudentTest.test_onesamplec                 C   sv   t ttj| jddd tj| jddd\}}t|| j t|| j tj| jddd\}}t|| j t|| j d S )Nr   errorr   r   r   r   )	rw   rx   rP   r  r  r
   P1_1_lr  P1_1_g)rY   r  r   r_   r_   r`   test_1samp_alternative
  s    z&TestStudentTest.test_1samp_alternativer   r?  c           	      C   s   t jd}d}|j|ddd}| }ddgdt jgt j d	gd
}tj|||d}|jdd}t|||  t	|j
|d  d S )Nl   <PleH rE   r(   r   r   r  r  gÍ]?g$(}w@gS1?g]@r   r   r   )popmeanr   333333?Zconfidence_levelr   )rU   r   r   r   r  rP   r  r   r
   r   df)	rY   r   r   rl  ry   r  r  r   r   r_   r_   r`   test_1samp_ci_1d  s    
z TestStudentTest.test_1samp_ci_1dc                 C   sT   t tdd}d}tjt|d |jdd W d    n1 sF0    Y  d S )NrE   r   4`confidence_level` must be a number between 0 and 1.ru   r  )rP   r  rU   r   r   r   rx   r   )rY   r   r   r_   r_   r`   test_1samp_ci_iv+  s    z TestStudentTest.test_1samp_ci_ivN)r   r   r   rU   r   r  r  r  r  r  r  r  r  r  r  r  r  r  r  r   r
  r  r  r  r_   r_   r_   r`   r    s"   ,
r  c                   @   sv  e Zd Zdd Zejdg ddd Zejdg ddd	 Zejdg d
dd Z	ejdg ddd Z
ejdg ddd Zejdg d
dd Zejdg ddd Zejddg dfdg dfdg dfdg dfgdd Zejddg dfdg d fdg d!fdg dfgd"d# Zd$g d%ejfd$ejgd%ejfd$ejgg d&ejejejgfd$d%d'gd%d'ejgd(d)ejgfd*d%d'ejgg d&g d+fd*d%d'gd,d%ejgd,d(ejgfd*ejejgg d&ejejejgfgZejd-ed.d/ Zd0d%d'd1ejgg d2d3fd0g d2d%d'd1ejgd3fgZejd4ed5d6 Zejd7g d8d9d: Zd;S )<TestPercentileOfScorec                 O   s   t j|i |S r_  )rP   Zpercentileofscore)rY   argskwargsr_   r_   r`   f5  s    zTestPercentileOfScore.fzkind, result))r#  r;  )rT   #   strictr:  )weakr;  c                 C   s"   g d}t | j|d|d| d S )N
r   r   r   r    r!   r"   r#   r$   r%   rE   r    kindr   r  rY   r  r   r   r_   r_   r`   test_unique8  s    z!TestPercentileOfScore.test_unique))r#  r  )rT   r;  r  )r  r9  c                 C   s"   g d}t | j|d|d| d S )N)
r   r   r   r    r    r!   r"   r#   r$   r%   r    r  r  r  r_   r_   r`   test_multiple2@  s    z$TestPercentileOfScore.test_multiple2))r#  r9  )rT   r  r  )r  r  c                 C   s"   g d}t | j|d|d| d S )N)
r   r   r   r    r    r    r!   r"   r#   r$   r    r  r  r  r_   r_   r`   test_multiple3H  s    z$TestPercentileOfScore.test_multiple3))r#  r:  )rT   r:  r  )r  r:  c                 C   s"   g d}t | j|d|d| d S )N)
r   r   r   r!   r"   r#   r$   r%   rE   rF   r    r  r  r  r_   r_   r`   test_missingP  s    z"TestPercentileOfScore.test_missingc                 C   s"   g d}t | j|d|d| d S )N
rE   r  r:  r;  r9  r  F   r  rf  r   r;  r  r  r  r_   r_   r`   r0  X  s    z(TestPercentileOfScore.test_large_numbersc                 C   s"   g d}t | j|d|d| d S )N)
rE   r  r:  r;  r;  r;  r9  r  r  r  r;  r  r  r  r_   r_   r`   test_large_numbers_multiple3`  s    z2TestPercentileOfScore.test_large_numbers_multiple3c                 C   s"   g d}t | j|d|d| d S )N
rE   r  r:  r9  r  r  r  rf  r   n   r;  r  r  r  r_   r_   r`   test_large_numbers_missingh  s    z0TestPercentileOfScore.test_large_numbers_missingr#  )r   rE   r   r   rT   )r   r!   _   r   r  )r   r   rf  r   r  c                 C   s&   g d}t | j|g d|d| d S )Nr  )r   rE   r  r!  r  r  r  r_   r_   r`   test_boundariesp  s    z%TestPercentileOfScore.test_boundaries)r   rE   r   )r   r!   r  )r   r   rf  c              
   C   sD   ddddddddd	t j
 g
}t| j|t j dt j
 g|d
| d S )Nr   r   r   r    r!   r"   r#   r$   r%   r  )rU   r  r   r  r  r_   r_   r`   test_infx  s    zTestPercentileOfScore.test_infr]  r   r$  r   r9  r   ro   )r   r9  r   r   zpolicy, a, score, resultc                 C   s   t | j|||d| d S )Nrp   r  )rY   policyr   r  r   r_   r_   r`   test_nans_ok  s    z"TestPercentileOfScore.test_nans_okrs   r   r   r  zpolicy, a, score, messagec                 C   s@   t t|d  | j|||d W d    n1 s20    Y  d S )Nru   rp   )rw   rx   r  )rY   r  r   r  r   r_   r_   r`   test_nans_fail  s    z$TestPercentileOfScore.test_nans_failrO  ))r"   r2  r   r   r   )r   r   r   r   c                 C   sB   t g d}||}|d }g d}t| j||dd| d S )N)r   r   r   r   r    r!   rE   r  r#  r  )rU   r   rS   r   r  )rY   rO  r   r  resultsr_   r_   r`   test_nd  s
    
zTestPercentileOfScore.test_ndN)r   r   r   r  r   r
  r  r  r  r  r  r0  r  r  r  r  rU   rV   Zcasesr  r  r  r_   r_   r_   r`   r  3  s`   














"

r  ZCase)f_obsf_exprc   r>   chi2logmod_logcr)r    r$   rG   r$   r    r   r'   rG   r(   r$   rD  r;  gfx(@)r   r  rG   r   r  rC  r        ?g{T4@)r   r!   r#   r%   r   r   r   c                   @   sL   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dS )TestPowerDivergencec                 C   s   t |}|d u r|j}nt ||}|j| }t n}	|	td tj	|||||d\}
}t
|
| |dksv|dkrtj||||d\}
}t
|
| W d    n1 s0    Y  t |}tjj||d | }t
|| d S )NrM   r  r  rc   r>   lambda_r   pearson)r  r  rc   r>   )rU   r  r   	broadcastrO  r   r  rX   rP   power_divergencer
   	chisquaredistributionsr  sf)rY   r  r  rc   r>   r  expected_statZnum_obsr   r^   statr   Z
expected_pr_   r_   r`   check_power_divergence  s,    





(


z*TestPowerDivergence.check_power_divergencec              	   C   s   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 | |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  rc   r>   r  r  r  r  rY   caser_   r_   r`   r     s:    zTestPowerDivergence.test_basicc              	   C   s   t D ]}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  rU   r  r   r  r  r  rc   r>   r  r  r  r  )rY   r  mobsr_   r_   r`   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  rU   rh  r  	ones_likerT   r  r  r  r  r  r  r   rS   )rY   case0case1r  r  r_   r_   r`   r  3  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   rb   r  r\  )r  rU   rh  r  rP  r   rT   r  r  r   rP   r  r
   r   )rY   r!  r"  r  r  Zexpected_chi2rc   r  r   Zstat0p0Zstat1p1r_   r_   r`   test_ddof_broadcastingM  s    
z*TestPowerDivergence.test_ddof_broadcastingc              
   C   s   t   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    n1 s0    Y  d S )Nr  r  r  r  )r  r  power_div_empty_casesr  r  r  rc   r>   r  r  r  r  r  r_   r_   r`   test_empty_casesi  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  rc   r>   rP   r  r   )rY   r  r  rc   r>   r   r   r_   r_   r`   'test_power_divergence_result_attributesy  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 sd0    Y  ttdd	  tj||dd W d    n1 s0    Y  tj||d\}}t|ddg t|ddg d S )NrE   r  r:  r!   r  r  r  For each axis slice...ru   r  r  r  r   )r  r  r>   g̑m@gUUU@gj^4;?g4;?)rU   r   rw   rx   rP   r  r
   )rY   r  r  r  r   r_   r_   r`   test_power_divergence_gh_12282  s    4.z2TestPowerDivergence.test_power_divergence_gh_12282N)r   r   r   r  r   r  r  r%  r'  r(  r+  r_   r_   r_   r`   r    s   r  c                   C   sF   t tdd& tjddgddgd W d    n1 s80    Y  d S )Nr)  ru   rE   r  r:  r  r*  )rw   rx   rP   r  r_   r_   r_   r`   test_gh_chisquare_12282  s    r,  zn, dtyper!  i@B c                 C   sj   t j| dg|d}t j| d | d g|d}t||}|\}}t|| dd t|j| t|j| d S )Nr   r;   r   r%  r   )rU   r   rP   r  r
   r   r   r   )rl  r<   obsexpr   r  r   r_   r_   r`   #test_chiquare_data_types_attributes  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Z t 2}|td  t	t jg \}}W d    n1 s0    Y  W d    n1 s0    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 ,}|td  t	|j\}}W d    n1 sp0    Y  W d    n1 s0    Y  tt|t jj t|jd" tt |j d S )#N)r$   r$   r      rK   )rK   rK   r   r    r!   )r   r   r   r   r   )r   r   r   r   r   g      8@r'   r   r  r0  rD  r   r  r!   r  r   r=   r   r  r  r  r?   )r>   r  )r   r!   r"   r  rE   )r   r   r   r   r   r;  )r   r    r$   rE   r  )r  r   r   r  r  rM   r_   r  )rU   r   rP  r  r=  r  rP   r  r  r  matr   r   r  r  r  r   rO  r   r   r   r  r   r  rX   ZMaskedArrayrO  r<  rG  )r-  r<  r  Zexpected_chisqZ
expected_gr  Zchisqr   gZobs1Zexp1r^   Zempty3r_   r_   r`   test_chisquare_masked_arrays  sn    "
V
Pr4  c                  C   s   t g d} d}t dt| d }t |  t ||   }t |||  }t | |fj}t g d	dd}|D ]B\}}t
j|d d df |d d df |d\}	}
t|	|d	d
 qd S )N)r  rF   rC   rN   r!   rF   rE   r    r$   rE   r#   r%   rF   r   r"   r   r   r    g*kqr   ) g      $g    @r  g     r@g      gffffffP@g       gLD@r  g      A@r   g     =@r  g     :@rr   g8@r'   gffffff7@gq=
ףp?g7@r   g333336@r(   g6@rD  gfffff6@r   g8@r3   g     A@rm   g     j@rK   r   r   r1  g{Gzt?r   )rU   r   r   r/  r  rV  r.  rh  rP  rS   rP   r  r
   )r-  betarb  alphaZexpected_countsZtable4Ztable5r  r  r  r   r_   r_   r`   /test_power_divergence_against_cressie_read_data  s    	  
r7  c                  C   s  t g dt g dt g dt g dg} t g dt g dt g dt g dg}t g d	t g d
t g dt g dg}tt| d | d | d | d d tt|d |d |d |d d tt|d |d |d |d d tttj|d |d  d}tj|  }t|| tt| d | d | d | d d tt|d |d |d |d d tttj|d |d  d S )N)g"~j?g^I+?gI+?gjt?gMbX9?gʡE?x&?-?g?r   gGz?g+?gv?g9v?)g~jt?gx?gOn?r8  g"~j?n?gK7A`?r9  g7A`?r   bX9?gZd;O?g1Zd?gK?)gy&1?gzG?g`"?g!rh?g'1Z?gZd;O?grh|?gjt?gʡE?r   gzG?gS?gJ4?gʡE?)gK7?gh|?5?gl?g/$?g#~j?r:  gQ?      ?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#@r/   r  g$@)g333333@g@g@r*   g@)r  r  r,   r   @)g!@g!@333333 @ffffff
@g333333"@r   r   r   r   )gNt$@gBv?)g
__2@g5"]i2?)g\(\%@g+ԋ?r  )r   r   rP   Zfriedmanchisquarerw   rx   r   mstats)r  r  r  r   r   r_   r_   r`   test_friedmanchisquare  sN    












   

rB  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.autorC   c           	      C   s8   t j|d||d}t||g}tt|||d d S Nr  r   r  r?   )rP   kstestrU   r   r   	rY   ry   r   expected_statisticexpected_probr  r@   r   r  r_   r_   r`   _testOneV  s    zTestKSTest._testOnec                 C   s@   t j|d||d}t j|t jj||d}tt|||d d S rE  )rP   rG  ks_1sampr  cdfr   rU   r   )rY   ry   r   r  r@   r   Zresult_1sampr_   r_   r`   _test_kstest_and_ks1samp[  s    z#TestKSTest._test_kstest_and_ks1sampc                 C   s,   t ddd}d}t|d}t|| d S )NrK   r   r%   r  r  )rU   rK  rP   rG  r   rY   ry   r   r   r_   r_   r`   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 )NrK   r   r%   r   r  
r  gQ?g333333g(\?gQ?g(\ſg{GzgHzG?g\(\gGzr   r  r  r   )rU   rK  rN  rS  r_   r_   r`   test_agree_with_ks_1sampg  s    z#TestKSTest.test_agree_with_ks_1sampN)rD  rC   )rD  rC   )r   r   r   r	  rK  rN  rP  rT  r_   r_   r_   r`   rC  S  s
   

rC  c                   @   sj   e Zd ZdZdddZdd Zdd	 Zd
d Zdd Ze	j
dejejge	j
dg ddd ZdS )TestKSOneSamplezOTests kstest and ks_samp 1-samples with K-S various sizes, alternatives, modes.rD  rC   c           	      C   s<   t j|t jj||d}t||g}tt|||d d S )NrF  r?   )rP   rL  r  rM  rU   r   r   rH  r_   r_   r`   rK  y  s    zTestKSOneSample._testOnec                 C   s0   t ddd}d}t|tjj}t|| d S )NrK   r   r%   r  )rU   rK  rP   rL  r  rM  r   rO  r_   r_   r`   rP  ~  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 )NrK   r   r%   r   g|N?g7.s?rQ  r  g{CTp?g M<b*?rR  gZL?g86J4?r   g+?r  rS  r   gHD?gr?rU   rK  rK  rS  r_   r_   r`   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 )NrI  r   h:)r  r   r   r   ghх?g7?asymprS  r   g^h?r   gv!ԉ}?g*z)?)rP   r  r   rK  rS  r_   r_   r`   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 sF0    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: 1.5ru   r(   rK   ))r  r   Tr   )r  皙?Tr   )r  r   Trr   )r  gTrr   )r0        ?Trr   )r0  r\  Fr   )r0  r'   Tgb?)r0  r'   FgiNq>)r0        ?Tgv(?)r0  r	  TgT	?)@  g\(\?Frr   )r^        ?Fg(>)r^  gQ?Fg@c?)r^        ?FgX+ʳP?r$  r   )Zdtypes)r   rU   rF  r   rV   rw   rx   r  r   checkintr  bool)rY   Zdatasetr_   r_   r`   test_ks1samp_allpaths  s    *z%TestKSOneSample.test_ks1samp_allpathsksfunc*alternative, x6val, ref_location, ref_sign))r   r"   r"   r   )r   r#   r#   rK   )r   r"   r"   r   )r   r#   r#   rK   c           	      C   sb   t dd }||d< tjddj}||||d}t|jddd |j|ksPJ |j|ks^J d S )	NrE   r'   r"   r  r   r7  r   r   )	rU   r   rP   r  rM  r
   r   statistic_locationstatistic_sign)	rY   re  r   x6valref_locationref_signry   rM  r   r_   r_   r`   test_location_sign  s    
z"TestKSOneSample.test_location_signN)rD  rC   )r   r   r   r	  rK  rP  rW  rZ  rd  r   r
  r  rP   rG  rL  rl  r_   r_   r_   r`   rU  v  s   
rU  c                   @   s  e Zd ZdZd1ddZdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zejjdd Zejjdd Zdd Zdd Zejjdd Zejjdd Zejjdd  Zd!d" Zejjd#d$ Zd%d& Zejjd'd( Zd)d* Zejd+ejejgejd,g d-d.d/ Z d0S )2TestKSTwoSamplesz<Tests 2-samples with K-S various sizes, alternatives, modes.rD  c           	      C   s4   t j||||d}t||g}tt|| d S )NrS  )rP   ks_2samprU   r   r   )	rY   r  r  r   rI  rJ  r  r   r  r_   r_   r`   rK    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   rr   )rK  r1  r_   r_   r`   	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   rD  r   r   rD  r   r   r   r   r8  r   r;  r~  r:  r   rU   r   rK  rY   r  Zdata1pZdata1mr  r_   r_   r`   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   rD  r   r  r   r'   g?r   g?r   r	  皙?r  r}  rI  r   rq  rr  r_   r_   r`   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   r7  r   r  g~z?r   gz;.B?r   r   r   {Gz?gn2IU?rV  )rY   x100Z	x100_2_p1Z	x100_2_m1r_   r_   r`   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  r7  r   g?g@߿?r   g}n?r   r   g:[?g]O);?gѫ);?rr   r   rV  )rY   rw  Zx110Z
x110_20_p1Z
x110_20_m1r_   r_   r`   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   rE   r#   r   g      ?g^dH?r   gQl6y?r   rr   r   gVdEVdE?g(f^?g!?gii?g+ ϖ?)rU   r   rb  rK  )rY   Zx2233Zx3344Zx2356Zx3467r_   r_   r`   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 )Nrp  r   r   r   r   r   r  r   rr   r'   rq  )rY   r  r_   r_   r`   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 \}d}|t| | j||dd| | ddd	 | j||dd| | ddd	 W d    n1 s0    Y  tjddD}td | j||dd| | ddd	 t	|td W d    n1 s0    Y  d S )N)r  iX  r   r   r   r!  r   g     @@rD  rS  rY  r   g2JE?r   g     @@gsW\nc?)ks_2samp: Exact calculation unsuccessful.r  Tr  r  
rU   rK  rK  r   r  rX   r  r  r  rb  	rY   n1n2deltary   rZ   r^   r   r3  r_   r_   r`   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 \}d}|t| | j||dd| | ddd	 | j||dd| | ddd	 W d    n1 s0    Y  tjddD}td | j||dd| | ddd	 t	|td W d    n1 s0    Y  d S )N)r   L  r   r   r   r!  r   g     ȹ@rY  rS  rD  r   gZ?r   g     @@g@J?r|  r  Tr  r  r}  r~  r_   r_   r`   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:rV  )rY   r  r  lcmr  ry   rZ   r_   r_   r`   	testLargeP  s    zTestKSTwoSamples.testLargec                 C   s\   t jd t jjdd}t jjddd }| j||dddd	d
 | j||ddddd
 d S )N@ i  r   i  r(   r   gC?      <rY  rS  r  rU   r   rM  r   rK  r   r_   r_   r`   test_gh11184[  s
    zTestKSTwoSamples.test_gh11184c                 C   s   t jd t jjdd}t jjddd }| j||dddd	d
 | j||ddddd
 | j||dddd	d
 | j||dddd	d
 d S )Nr  r  r   i'  r(   r   g 	_r!?gAD5rY  rS  r  r  r   gלN#y7r   gvqw?r  r   r_   r_   r`   test_gh11184_biggerc  s    z$TestKSTwoSamples.test_gh11184_biggerc                 C   s   t jd tdddD ]f}t jj|d}t jj|d dd}tj||dd	j}tj||d
d	j}t|d|  t|d|  qd S )Nr  r   i.  r   rE   r'   r   r  r  rS  rY  r   )	rU   r   rM  rg  r   rP   rn  r   r   )rY   ry   Zvals1Zvals2r  rY  r_   r_   r`   test_gh12999n  s    zTestKSTwoSamples.test_gh12999c           	   	   C   s.  d\}}|d }d| | d d }t dd|| }t dd|}| j||dd| d	d
d | j||dd| ddd | j||dd| d	dd | ||dd| d | ||dd| d t T}d}|t| | j||dd| ddd | j||dd| ddd W d    n1 s 0    Y  d S )N)r  i*  r  r   r   r   r!  r   g     @gkHY?rY  rS  gLɔ.?r  rD  r   g.LbG2?r   rm   gr?֎?r|  )rU   rK  rK  r   r  rX   )	rY   r  r  r  r  ry   rZ   r^   r   r_   r_   r`   testLargeBothz  s    zTestKSTwoSamples.testLargeBothc                 C   s$   d}t ddgdg}t|| d S )Nr  r   r   r   )rP   rn  r   rY   r   r   r_   r_   r`   testNamedAttributes  s    z$TestKSTwoSamples.testNamedAttributesc                 C   s   ddl m}m} |dddd |dddd tjdd4 tt|dd	dd tt|d
ddd W d    n1 sr0    Y  d S )Nr   )_count_paths_outside_method!_compute_outer_prob_inside_methodr   r   i  rs   r  r  iK  r  )scipy.stats._stats_pyr  r  rU   r  rw   FloatingPointError)rY   r  r  r_   r_   r`   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  )rw   rx   rP   rn  r1  r_   r_   r`   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    rr   r   r  r   rY  rF  r   r   N)rU   r   rM  rP   r  r   rn  )rY   r  rvs1rvs2r_   r_   r`   test_gh12218  s    zTestKSTwoSamples.test_gh12218c                 C   s   t jttd}|jddd }|jdd}d}tjt|d0 tj	||dd	}t
|jd
dd W d    n1 sx0    Y  d S )Ntest_warnings_gh_14019iq  r   r'   iq  z(ks_2samp: Exact calculation unsuccessfulru   r   r   r   rV  r   )rU   r   r   abshashr   r  rX   rP   rn  r
   r   )rY   r   r  r  r   r   r_   r_   r`   r    s    z'TestKSTwoSamples.test_warnings_gh_14019re  rf  ))r   皙@r  r   )r   ffffff@r  rK   )r   r  r  r   )r   r  r  rK   c           	      C   s^   t jdt jd}| }||d< tj|||d}|jdks>J |j|ksLJ |j|ksZJ d S )NrE   r;   r"   r   r7  )	rU   r   r   copyrP   rn  r   rg  rh  )	rY   re  r   ri  rj  rk  ry   rZ   r   r_   r_   r`   rl    s    
z#TestKSTwoSamples.test_location_signN)rD  )!r   r   r   r	  rK  ro  rs  ru  rx  ry  rz  r{  r   r
  rA  r  r  r  r  r  r  r  r  r  r  r  r  r  r  rP   rG  rn  rl  r_   r_   r_   r`   rm    sB   








rm  c               	   C   s  d\} }| |  g||gf}t ddd}t ddd}t t dddt dddg}t t dddt dddg}tj||dd\}}t||g| |f tj|j|jdd\}}t||g| tj||dd\}}t||g| t \}	t jddd	, |		t
d
 tdd\}}W d    n1 s20    Y  W d    n1 sR0    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 sV0    Y  ttj||dd d! tttj||d"d  tttj||d#d  tjt
d$d%( tg d&g d'\}}W d    n1 s0    Y  tt ||ft jdf t jddr ttg d&g d&t jt jf t dt jgd(dgg}tt|t d)dt jgdt jgf W d    n1 s0    Y  t  d*}tttj|!d+|!d, d-d. }t "|}t j|d d d/d0f< t j|d d d1d2f< tj||ddd \} }tj||dddd3\}}t|| d4d5 t jdd& t||| |dd4d5 W d    n1 sj0    Y  tj||dddd3\}}t|| d4d5 t jdd& t||| |dd4d5 W d    n1 s0    Y  d S )6N)gu?gȵI?r   r   r  gKX@r   r=   r  r  r  rC  r   r  r2  r   rx  r  r   r   r>   r   r   r  r!   rE     r  r  rI  )r  r   r   r  ro   rp   )ghm#1?gry̧?rs   rt   r  ru   r
  r  rK   ry  r  )r$   r   r   r   r    c                 S   s4   | dk r|dks | dkr(|dkr(|d S d|d  S Nr   r   r   r   r   r_   r  r   altr_   r_   r`   convert0  s     ztest_ttest_rel.<locals>.convertr  r:  r  r  r  rV  r   )#rU   rK  r   rP   	ttest_relr   rP  r   r  r  rX   r   rF  r   rz  r  r   rO  r{  rw   rx   r
   r   RandomStater  r   rV   r   r   r  r  r  r   rS   	vectorize)trr  tprr  r  rvs1_2Drvs2_2Dr  r   r^   r   r   rvs1_3Drvs2_3Dr   ry   rZ   ananr  	converterr_   r_   r`   test_ttest_rel  s    ""P





:8"$


6
r  c                  C   s   t jdddg} g d}tj| |dd}tj|| dd}t|j|j dd t|j|jdd t|d	d  | d	d  }t||dd t|d
dd d S )NrD  r   rC  r   rD  r   rD  ro   rp   r   r   r   )rq  grh|?-C6?)rU   rV   rP   r  r
   r   r   ry   rZ   r  r  r3r_   r_   r`   test_ttest_rel_nan_2nd_argH  s    r  c                  C   s4   t g g } t| t jjsJ t| tjtjf d S r_  )rP   r  rO  	_stats_pyTtestResultr   rU   rV   r   r_   r_   r`   #test_ttest_rel_empty_1d_returns_nan]  s    r  zb, expected_shape)r   r!   r   rr  r   r   r   )r   r   c                 C   sX   t d}tj|| dd}t|tjjs,J t j|t jd}t	|j
| t	|j| d S N)r   r   r   rK   r=   rS  )rU   r  rP   r  rO  r  r  rf   rV   r   r   r   r   Zexpected_shaper   r   Zexpected_valuer_   r_   r`   test_ttest_rel_axis_size_zeroe  s    
r  c                  C   sV   t d} t d}tj| |dd}t|tjjs6J t|jj	d t|j
j	d d S N)r   r$   r   r!   r$   r   r   r=   r!   r   )rU   r  rP   r  rO  r  r  r   r   rO  r   r   r   r   r_   r_   r`    test_ttest_rel_nonaxis_size_zerot  s    

r  r   r?  c                 C   s   t jd}d}|j|ddd}|j|ddd}ddgdt jgt j d	gd
}tj||| d}|jdd}t|||   t	|j
|d  d S )Nl   C67l:  rE   r(   r   r  gZ?Ygi{a?g8 gC?r  r   r  r  r   )rU   r   r   r   r  rP   r  r   r
   r   r  )r   r   rl  ry   rZ   r  r   r   r_   r_   r`   test_ttest_rel_ci_1d  s    	
r  ztest_fun, argsrE   c                 C   sJ   | | }d}t jt|d |jdd W d    n1 s<0    Y  d S )Nr  ru   rE   r  )r   r   rx   r   )Ztest_funr  r   r   r_   r_   r`   test_ttest_ci_iv  s    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  )rU   r  rT   rh   rO  )ry   r>   murh   nobsr_   r_   r`   _stats  s
    

z_desc_stats.<locals>._stats)r   r_   )r  r  r>   r  r_   r_   r`   _desc_stats  s    
r  c               	   C   s  d} d}| |  g||gf}t ddd}t ddd}t ||g}t ||g}tj||dd\}}t||g| |f ttjt|| ||g tj|j|jdd\}}t||g| t|j|j}	ttj|	 ||g tj||dd\}}t||g| t||dd}	ttj|	 ||g t	 Z}
t j
d	d
, |
td tdd\}}W d    n1 sf0    Y  W d    n1 s0    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 s 0    Y  ttj||ddd tttj||dd tttj||d d tjtd!d"( tg d#g d$\}}W d    n1 s0    Y  tt ||ft j df t j
d	d
r 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 s00    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=   r  r  r  rC  r   r2  r   rx  r  r   r   r   r   r  r  rE   r  r  r  ro   rp   )guͷ?g*,?rs   rt   r  ru   r
  r  rK   ry  r  r"   rG   c                 S   s4   | dk r|dks | dkr(|dkr(|d S d|d  S r  r_   r  r_   r_   r`   r    s     ztest_ttest_ind.<locals>.convertr  rV  r   )#rU   rK  r   rP   	ttest_indr   ttest_ind_from_statsr  rP  r   r  r  rX   r   rF  rz  r   r  r   rO  r{  rw   rx   r
   r   r  r  r   rV   r   r   r  r  r  r  )r  r  r  r  r  r  r  r  r   r  r^   r  r  r   ry   rZ   r  r  r  r_   r_   r`   test_ttest_ind  s    


P




:8"$


r  c                   @   s2  e Zd ZdZejd eede d ejde d fZ	eeed d ejed fZ
edZedd ZddgZddgZejd ejjd	dd
ddd	jZejjddddZddgZddgZg dZe	e
ddiefe	je
jddiefe	dddf e
dddf ddied fe	dddf  e
dddf  ddied fe	e
dddefe	e
ejdddefeeddidfeedddefeei dfe	e
ejdddefg
Zejdedd Z dd Z!dd Z"d d! Z#d"d# Z$ej% d$d% Z&d&d' Z'd(d) Z(d*d+ Z)dS ),Test_ttest_ind_permutationsr  r   r   r    r   rE   r   r   r!   r  r  r$   '^P?gCq?g$R?)g=B?g?goŜ?gp?g'^?r>   N)r   r>   	equal_varTrK   )r>   r   r   z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!   )updaterP   r  r   )rY   r   r   r  p_dZ	options_a	options_pZstat_ar,  Zstat_pr   r_   r_   r`   test_ttest_ind_permutationsT  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'   
rU   r   rM  rW  r  rP   r  r   r   r   )rY   Nr   r   r  res_g_abres_g_bares_l_abres_l_bares_2_abZres_2_bar<  r_   r_   r`    test_ttest_ind_exact_alternativea  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svJ |j|jksJ |j|jksJ d S )Nr   r   r   r  )rU   r   rM  rW  rP   r  r  r   )rY   r  r   r   r  r  r  r  r_   r_   r`   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\}}}tt|}	|	t|| |ks~J t||	ksJ d S )Nr   r   r    ru  T)	rU   r   rM  rW  r  r/  r   setr   )
rY   r   r   r  nanbr  Zt_statr,  Zn_uniquer_   r_   r`   !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d|d d    t|j	|j	 dd|d d    d S )Nr   r9  r   r   rK   r   )r>   r  r   r   r   r   r   r  r  )	rY   r  r   r   r  r  r  r  r  r_   r_   r`   #test_ttest_ind_randperm_alternative  s(    z?Test_ttest_ind_permutations.test_ttest_ind_randperm_alternativec           	      C   sN  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
d
|d 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   r9  r    r  r  r   r   r   r   r   r   r  r'   r   rv  r   )
rU   r   rM  rW  r  rP   r  r   r   r
   )	rY   r  r   r   r  r  r  r  r<  r_   r_   r`   $test_ttest_ind_randperm_alternative2  s6    



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$ tj	||fi |}W d    n1 s0    Y  t
 }|td |jdd
 tj	||fi |}t |jddt |jddB }tj	|d d | f |d d | f fi |}t|j| t j t|j| t j t|j|  |j t|j|  |j tj	| | fi |}t |jsJ t |jsJ W d    n1 s0    Y  d S )Nr   r9  r!   )r!   r   )r$   r   )r%   r   r   r  rs   rp   r  ru   rn   r]  r=   )rU   r   rM  rW  rV   r  rw   rx   rP   r  r   rW   rX   rF  anyr   r   r   r
   r  )	rY   r  r   r   r  r   r^   r<  r  r_   r_   r`   $test_ttest_ind_permutation_nanpolicy  s2    




2
$0z@Test_ttest_ind_permutations.test_ttest_ind_permutation_nanpolicyc                 C   s   t tdd$ tj| j| jdd W d    n1 s60    Y  t tdd$ tj| j| jdd W d    n1 sv0    Y  t tdd( tj| j| jdddd	 W d    n1 s0    Y  d S )
NzPermutations must beru   rL   r  r(   z'hello' cannot be usedr   Zhello)r  r   r>   )rw   rx   rP   r  r  b2r   r   r1  r_   r_   r`   'test_ttest_ind_permutation_check_inputs  s    22zCTest_ttest_ind_permutations.test_ttest_ind_permutation_check_inputsc                 C   sN   d}t j|d}t j|d}tj||ddj}td|v d|vsJJ d S )NrE   r  r   r  rr   )rU   r   rW  rP   r  r   print)rY   r  r   r   Zp_valuesr_   r_   r`   )test_ttest_ind_permutation_check_p_values  s    zETest_ttest_ind_permutations.test_ttest_ind_permutation_check_p_values)*r   r   r   r  rU   r   rM  rh  r   r   r   r  r  r  Zb3rP   r  r   rS   rP  r  r  r  Zp_d_genZp_d_bigtolistr  r   paramsr   r
  r  r  r  r  r  r  rA  r  r  r  r  r_   r_   r_   r`   r  +  sP   ,(

*2

*
!$	r  c                   @   s   e Zd Zej ejjddddddii gg ddejjd	d
dgd	dgddd Zejjddddddii gg ddejdddgdd ZdS )Test_ttest_ind_commonkwdsr!  r   r  trimrI  )r  r  basic)idsr  TFZunequal_varc                 C   s  t jd t jdddddd}t jddddd}tj||fd	d
i|}d\}}}||d d |d d dd d f }	|d d dd d |d d f }
tj|	|
fd	di|}t|j|d d ||d d f |j t|j|d d ||d d f |j t 	t 
|dd
d}t 	t 
|dd
d}|jd d }t |}t |}tdd |D  D ]B}|| }|| }tj||fd	di|}|j||< |j||< qVt||j t||j d S )Nr   r!   r    r#   r   r"   r$   r   r>   rL   )r   r   r   rq  r   r   r   r   r   r   rK   r!   r   r    r   r   r   c                 s   s   | ]}t |V  qd S r_  rf  r`  r_   r_   r`   	<genexpr>D  re  z=Test_ttest_ind_common.test_ttest_many_dims.<locals>.<genexpr>)rU   r   rM  rW  rP   r  r   r   r   r{  tilerO  r  r   r
   )rY   r  r  r   r   r   rb  rc  rY  r  r  r  ry   rZ   rO  
statisticspvaluesindicesxiyir  r_   r_   r`   test_ttest_many_dims%  s6    
 


z*Test_ttest_ind_common.test_ttest_many_dims)r  r  r  r>   rK   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 l}t jd
d@ |	t
d |	t
d tj||fd|i|}W d    n1 s0    Y  W d    n1 s0    Y  t |j}t|| t |j}	t|	| d S )NrE   )r!   r   rE   r   r  r   r   r   r"   r=   r  r  z'invalid value encountered in less_equalr  r>   )rU   r   randintr  rV   rF  rV  r   r  r  rX   rP   r  r   r   r   )
rY   r  r>   r   r   r  r^   r   Zp_nansZstatistic_nansr_   r_   r`   test_nans_on_axisN  s    T
z'Test_ttest_ind_common.test_nans_on_axisN)	r   r   r   r   r
  rA  r  r  r  r_   r_   r_   r`   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$ Zd%S )&Test_ttest_trimr   r[  rB  g@9(?erI  )r^  g33333`@rG   g33333^@g(\P@r  gfffffڇ@gBM)u?g]@gyd?g	s5v@g{Gz?rA  rA  r[  r   ffffff?r   r  r  r:  r
  r
  r-   g@r?  r*   r'   r  g333333@r  r  g@r  gn4aƂg?^)g,
gm?giI@gE|x!gvwQ?glfPg_)gXG~?g=n@g8$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rP   r  r
   )rY   r   r   r  r  r  r   r   r_   r_   r`   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)rG   rC   r  r  r0  ,   rG   rC   r  r  r0  r  )rN   r"  rC   rG   r:     r  rN   r"  rC   rG   r:  r  r  g
ףp=
?Fr  gRbv?r   r   gOi?r  rY   r   r   r   r   r_   r_   r`   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

        $test
                              stat df              crit                   p
        results -4.246116897032513 12 2.178812829667228 0.00113508833897713
        r	  r  rI  r  gR?绽|=r   g^Nr  r  r_   r_   r`   test_equal_var  s
    zTest_ttest_trim.test_equal_varz	alt,pr,tr))r   gjΜ>5?r  )r   gn4aƂW?r  c                 C   sH   g d}g d}t j||dd|d\}}t||dd t||dd dS )	z
        > library(PairedData)
        > a <- c(2.7,2.7,1.1,3.0,1.9,3.0,3.8,3.8,0.3,1.9,1.9)
        > b <- c(6.5,5.4,8.1,3.5,0.5,3.8,6.8,4.9,9.5,6.2,4.1)
        > options(digits=16)
        > yuen.t.test(a, b, alternative = 'greater')
        r	  r  rI  F)r  r  r   r  r   Nr  )rY   r  r  r  r   r   r   r   r_   r_   r`   test_alternatives  s    
z!Test_ttest_trim.test_alternativesc                 C   sN   d}t t|d* tjddgddgddd W d    n1 s@0    Y  d S )Nz7Permutations are currently not supported with trimming.ru   r   r   r   rI  )r  r  rw   rx   rP   r  )rY   rv   r_   r_   r`   test_errors_unsupported  s    z'Test_ttest_trim.test_errors_unsupportedr  )gɿr'   r   c                 C   sL   d}t t|d( tjddgddg|d W d    n1 s>0    Y  d S )Nz/Trimming percentage should be 0 <= `trim` < .5.ru   r   r   r  r  )rY   r  rv   r_   r_   r`   test_trim_bounds_error  s    z&Test_ttest_trim.test_trim_bounds_errorN)r   r   r   r  r   r
  r  r  r  r  r  r  r  r_   r_   r_   r`   r  k  s:   
#
r  c                   @   s
  e Zd ZejddZg ded< dddej dged	< ddd
dejged< g ded< dddej dged< ddddejged< g ded< g ded< g ded< g ded< g ded < g d!ed"< ej	d#g d$ej	d%d&d'gej	d(d)d*gd+d, Z
d-S ).Test_ttest_CI)r   r   r   r!   r  )gͿe13@gv7?gę"Ͽg8 {M(?r
  r  r  gv7?gx_?r  g
/?gD .ɿ)r   r   r   )reϿ-</&@g?JJ?gbտg3Պ?)r   r   r   r  r  g?JJ?gF?)r   r   r   g{?gads2ѿ)r   r   r   )s"%οr"  gW"?NN)r   r   r   )r   r"  gW"?NNr   r   r   )r   r"  g:T'?NN)r   r   r   ):пrC   g0:5?NNr  )r"  rC   g0:5?NNr  )r"  rC   g be?NN)r   r   r   r   r?  r  FTr  r   rI  c                 C   s   |r|rt d tjd}|d}|d}tj|||||d}dddd	}| j|| t|tt	|f }	|	\}
}}}}t
|j|
 t
|j| t
|j| |s|d
}t
|j| t
|j| d S )Nz3Discrepancy in `main`; needs further investigation.l   'Nk' rF   rH   )r   r  r  r   r   r   r?  r9  )r   ZxfailrU   r   r   rP   r  r   rb  ceilr
   r   r  r   r   lowhigh)rY   r   r  r  r   ry   rZ   r   r  r  r   r  r   r$  r%  r   r_   r_   r`   test_confidence_interval  s$    



"
z&Test_ttest_CI.test_confidence_intervalN)r   r   r   rU   r  r   r  r   r
  r  r&  r_   r_   r_   r`   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 ]}|\}}}}}}	|| jd	 k r| ||||||	f |||||||	f ksJ qv|||||| jd	  ||	f |||||||	f ksvJ qvd S )Nr   r!   r    r   r   r"   r$   r   rL   r=   r  )N.r  c                 s   s   | ]}t |V  qd S r_  rf  r`  r_   r_   r`   r  =  re  z.test__broadcast_concatenate.<locals>.<genexpr>)rU   r   rM  rW  r   r  r   rO  )
r   r   r  indexrb  rc  rY  lrj  rl  r_   r_   r`   test__broadcast_concatenate3  s    .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tdd, t jg dg ddd\}}W d    n1 s0    Y  tt||ftjdf tjdd z 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    n1 s0    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  r2  r   rx  r  ru   r
  r  r  rG  rK   ry  )rP   r  r   r  r  rU   rK  r   rP  r   rz  r   r  r   rO  r{  r   r  rX   r  r  rV   r  )r   r   r  r  r  r   Z	tr_uneq_nZ	pr_uneq_nr  Zrvs3r  r  r  r  r  r   r   r  r  r  r_   r_   r`   test_ttest_ind_with_uneq_varE  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 )NrD  r   rC  r  ro   rp   r   r   r   )g8HgW@?)rU   rV   rP   r  r
   r   r   r  r_   r_   r`   test_ttest_ind_nan_2nd_arg  s    r-  c                  C   s4   t g g } t| t jjsJ t| tjtjf d S r_  )rP   r  rO  r  r  r   rU   rV   r  r_   r_   r`   #test_ttest_ind_empty_1d_returns_nan  s    r.  c                 C   sX   t d}tj|| dd}t|tjjs,J t j|t jd}t	|j
| t	|j| d S r  )rU   r  rP   r  rO  r  r  rf   rV   r   r   r   r  r_   r_   r`   test_ttest_ind_axis_size_zero  s    
r/  c                  C   sV   t d} t d}tj| |dd}t|tjjs6J t|jj	d t|j
j	d d S r  rU   r  rP   r  rO  r  r  r   r   rO  r   r  r_   r_   r`    test_ttest_ind_nonaxis_size_zero  s    

r1  c                  C   sV   t d} t d}tj| |dd}t|tjjs6J t|jj	d t|j
j	d d S )N)r   r#   r   r  r   r=   r  r0  r  r_   r_   r`   2test_ttest_ind_nonaxis_size_zero_different_lengths  s    

r2  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      )rU   r   rP   r  )Zmean1Zmean2Zstd1Zstd2Znobs1Znobs2r_   r_   r`   test_gh5686  s    r6  c               	   C   s.   t jdddddddd} t| tjtjg d S )Nr   r"   Fr*  )rP   r  r   rU   rV   r  r_   r_   r`   %test_ttest_ind_from_stats_inputs_zero  s    r7  c                  C   s   t jd} | jdd}| jdd}| jdd}tj||ddd}t|jt j	jd	ks`J t
t |j|d |d
d tj||ddd}t|jt j	jd	ksJ t
t |j|d |d
d tjg ddgdd}t
|ddd d S )Nl   bQ )r  r   r   )r  r   r   TrK   )r  r>   r7  r   r   )r   r   r!   r(   r*  )gzNd?gJ?r  r   )rU   r   r   r   r  rP   r  rL  r   rM  r
   Z
percentile)r   ry   rZ   r~  r   r_   r_   r`   test_ttest_single_observation  s    r8  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| d|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| |d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h 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 s0    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)rE   r  r  r!   rE   r  r   r=   r   rC   r?   r  r   r
  c                 S   s4   | dk r|dks | dkr(|dkr(|d S d|d  S r  r_   r  r_   r_   r`   r  ?  s     z%test_ttest_1samp_new.<locals>.convertr   r   r   r  r+  rK   r   r    r$   ro   rp   r  )rP   r  r   r  rU   ro  r   r   r   rO  r  r  r  r
   r  rV   r   )r  r  Zn3Zrvn1r  r$  r  p2r  p3r  r   r  r  r  r  Zpcr  r_   r_   r`   test_ttest_1samp_new  sf    
4*6*6*
&*

*

B* 


 

r;  c                  C   s   t jd} | jdd}d}| jdd}tjt|d  tj||dd W d    n1 s\0    Y  | jd	d}tj||dd}|jj	d
ksJ t j
| dd}tj||dd}t|jd d S )Nl   iI}pC )r   r  r  r   z%`popmean.shape\[axis\]` must equal 1.)r!   r   r  ru   rq  )r  r>   )r!   r   r  )r!   r  r=   g?)rU   r   r   r   r   rx   rP   r  r   rO  rl  r   r
   r   )r   ry   r   r  r   r   r_   r_   r`   test_ttest_1samp_popmean_arrayh  s    .r<  c                   @   s<   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd ZdS )TestDescribec              	   C   s   t  `}tjddd2 |td td\}}}}}}W d    n1 sN0    Y  W d    n1 sl0    Y  t|d t|d t|d t|sJ t|sJ t|sJ d S )Nr  r  r  rC  r   )rC  rC  )	r   rU   r  r  rX   rP   describer   rF  )rY   r^   rl  r  rj  r2  skkurtr_   r_   r`   test_describe_scalar~  s    R


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   rD  rD  rD  rD  ffffff?rF  rF  rF  )r:  r:  r:  r:  H,p ?r    TUUUUUrH   r?   r   r=   rm   r%   )r%   )rr   r  rC  r.   rr   gGzro   rp   rs   rt   )rU   rh  ro  rf   r   rP   r>  r   r   rP  r   rV   rw   rx   rY   ry   ZncZmmcZmcZvcZskcZkurtcrl  r  rj  r2  r?  r@  r_   r_   r`   test_describe_numbers  sH    
















z"TestDescribe.test_describe_numbersc                 C   s"   t td}d}t|| d S )Nr!   )r  minmaxrT   varianceskewnessr  )rP   r>  rU   r   r   )rY   r  r   r_   r_   r`   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  rB  r   r!   rC  rD  rE  )Q?rO  rO  rO  rG  r    rH  r   rb   r   r   rH   r?   )
rU   rh  ro  rf   r   rP   r>  r   r
   r   rI  r_   r_   r`   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  rB  r   )r  )r   rD  rF  ga+?gE,p ?gUUUUUUr=   rH   r?   )rU   rh  ro  rf   rP   r>  r   r  r   rK  rT   rL  r   rM  r  )	rY   ry   Ze_nobsZe_minmaxZe_meanZe_varZe_skewZe_kurtr   r_   r_   r`   test_describe_axis_none  s    z$TestDescribe.test_describe_axis_nonec                 C   s   t ttjg  d S r_  )rw   rx   rP   r>  r1  r_   r_   r`   test_describe_empty  s    z TestDescribe.test_describe_emptyN)	r   r   r   rA  rJ  rN  rP  rQ  rR  r_   r_   r_   r`   r=  }  s   )r=  c                  C   sf  t ttjd t ttjd t ttjd d\} }}d\}}}d|d  |d  }}|d d|d   }}	tdd }
d}tt|
| |f t	t|
| tt|
||f ttj|
dd	||f ttj|
d
d	||f t	t|
| tt|
||f ttj|
dd	||f ttj|
d
d	||	f t	t|
| tj
jdddd}tj|d
d	j}t|ddd tjjddd}tj|d
d	j}t|d ttj|
d d| |f ttj|
d d||f ttj|
d d||f td}
tj|
d< tjdd( tt|
tjtjf W d    n1 s:0    Y  d}ttj|
dd| tj|dd< tj|dd\}}tj|ddd\}}tj|dd
d\}}t||dd t||dd t|d|d  dd t||d dd tjdd" t ttj|
d d W d    n1 s0    Y  t ttj|
d!d t ttjttd"d!d	 td#}
tj|
d$< tjdd( tt|
tjtjf W d    n1 s0    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 s0    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 )-NrC  )gMc@gO?g{\᛿)g2$?gגe`?gǃK@?r   r   )rq  rK   r   r   r   r   rq  rK   r   r   r   r   rq  rK   r   r   r   r   rq  rK   r   r   r   r   r  r   r   r   r  {   )r   r   r   rr   r!   r?   r   r   r=   rm   r%   r  r  )geGK?gZ^<ý?ro   rp   rE   r   r  r   r   r+  rs   rt   r$   g      >@r  )g9+%g?*ݗ?r  )gwGw@g{8NĦ?)
rW  r   :   r#   r   )   r  r   r      c                 S   s   g | ]\}}t ||qS r_   )rU   rf   )ra  rb  r  r_   r_   r`   rd  M  re  z'test_normalitytests.<locals>.<listcomp>r   T)rw   rx   rP   skewtestkurtosistestZ
normaltestrU   r   r   r   Zskewnormr   r   r   Zlaplacer   rV   r  r   r
   r  rg  rk  	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_greaterry   r   r  r   r  r  r  r   ZzlplZzgZpgr<  r_   r_   r`   test_normalitytests  s    




82

8

8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   rE   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   )rP   ranksumsry   rZ   r   mannwhitneyur
   )rY   r   r  r  r_   r_   r`   test_ranksums_result_attributesV  s    z,TestRankSums.test_ranksums_result_attributesc                 C   s   t | j| j}t|d d S )Nr  )rP   r^  ry   rZ   r   )rY   r   r_   r_   r`   test_ranksums_named_results_  s    z(TestRankSums.test_ranksums_named_resultsc                 C   sD   t tdd$ tj| j| jdd W d    n1 s60    Y  d S )Nzalternative must be 'less'ru   rt   r   )rw   rx   rP   r^  ry   rZ   r1  r_   r_   r`   test_input_validationc  s    z"TestRankSums.test_input_validationN)r   r   r   rU   r   rM  rW  ry   rZ   r   r
  r  r`  ra  rb  r_   r_   r_   r`   r]  Q  s   
r]  c                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
TestJarqueBerac                 C   s  t jd t jddd}t jdd}t jdd}tt|d t|j	 tt|d t|j
 tt|d t|j	 tt|d t|j
 tt|d t|j	 tt|d t|j
 tt|d t|d k tt|j
t|j
k tt|d t|d k tt|j
t|j
k tt|d t|d k tt|j
t|j
k d S )NrX  r   r   ru  r  )rU   r   rM  r   r  Zrayleighr   rP   jarque_berar   r   r   rY   ry   rZ   r  r_   r_   r`   test_jarque_bera_statsi  s        z%TestJarqueBera.test_jarque_bera_statsc                 C   s   t jd t jddd}tt| }\}}tt| }\}}t|dd }\}	}
t	||  ko|	  ko|j
  ko|j
  ko|j
kn   t	||  ko|
  ko|j  ko|j  ko|jkn   d S )NrX  r   r   ru  r   P  )rU   r   rM  r   rP   rd  r  tuplerS   r   r   r   )rY   ry   Zjb_test1ZJB1r$  Zjb_test2ZJB2r9  Zjb_test3ZJB3r:  r_   r_   r`   test_jarque_bera_array_like  s    @z*TestJarqueBera.test_jarque_bera_array_likec                 C   s   t ttjg  d S r_  )rw   rx   rP   rd  r1  r_   r_   r`   test_jarque_bera_size  s    z$TestJarqueBera.test_jarque_bera_sizec           	      C   s   t jttd}|jdd}ttj|d dt|  tj|dd}t|dd d f \}}t|dd d f \}}t	|j
||g t	|j||g tj|jdd}t	|| d S )NZ
JarqueBera)r   r  r   r=   r   r   )rU   r   r   r  r  r   rP   rd  r  r
   r   r   rP  )	rY   r   ry   r   s0r#  s1r$  ZresTr_   r_   r`   r    s    zTestJarqueBera.test_axisN)r   r   r   rf  ri  rj  r  r_   r_   r_   r`   rc  h  s   rc  c                  C   s   t d} tttj|  d S )Nr  )rU   r   rw   rx   rP   rX  r   r_   r_   r`   test_skewtest_too_few_samples  s    
rm  c                  C   s   t d} tttj|  d S )NrC  )rU   r   rw   rx   rP   rY  r   r_   r_   r`   !test_kurtosistest_too_few_samples  s    
rn  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$`3@g
x4@g3#л5@g;VND1@g >H2@gr4@gyܤ2@g?4@g=bɇ3@)gpG3@gL:j0@g2@gJNnC1@gR;`(3@g+Pi,2@g6:Z2@gZ"3=2@gF	uSa	3@gXҀ2@gX3^83@g21@gJ2@gZ)E2@gU83@g50@gԆ3@gFz33@gz3@gڴ3@rC   c           	      C   s   t j| j| jdd\}}t j| j| jdd\}}t j| j| jdd\}}t j| j| jdd\}}t|| t|| t||k t|d t|d t|d t|d t|d| jd t|d| jd d S )	Nr   r   r     r#  g=_A?r4   glPz.?rP   r_  rQ   Yr   r   r	   r5   	rY   u1r$  u2r9  u3r:  Zu4Zp4r_   r_   r`   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   rp  r#  glPz.?r4   rP   r_  rQ   rr  r   r	   r5   rY   rt  r$  ru  r9  r_   r_   r`   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   rp  r#  gii5?r4   g22?rq  rs  r_   r_   r`   &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   rp  r#  g22?r4   rx  ry  r_   r_   r`   &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   rD  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   rD  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   rD  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   rD  r   r   r   r   rD  r   r   rD  r   r   rD  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   rD  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   rD  r   r   r   r   r   r   r   r   r   rD  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   )r   r   r   r   r   r   r   rD  r   rD  r   r   r   r   rD  r   r   r   rD  r   r   r   r   r   rD  r   r   r   r   r   r   r   r   r   r   r   r   r   rD  r   rD  r   r   r   r   r   r   rD  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   rD  r   r   r   r   r   rD  rD  r   r   rD  r   r   rD  r   rD  r   r   r   r   rD  rD  r   r   r   r   r   r   r   r   r   r   r   r   r   r   rD  r   r   r   r   r   rD  rD  rD  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   rD  r   r   rD  r   r   r   r   rD  r   r   r   r   r   r   r   r   r   r   r   r   rD  r   r   r   rD  r   r   r   r   r   r   r   r   )     @g ?չ>r   )r}  g&)E?r   )r}  g?չ?)rU   r   r
   rP   r_  r   r_   r_   r`   test_mannwhitneyu_ones  s    z'TestMannWhitneyU.test_mannwhitneyu_onesc                 C   s&   d}t j| j| jdd}t|| d S )Nr  r   r   )rP   r_  rQ   rr  r   r  r_   r_   r`   #test_mannwhitneyu_result_attributes%  s    z4TestMannWhitneyU.test_mannwhitneyu_result_attributesN)r   r   r   rQ   rr  r5   rw  rz  r{  r|  r~  r  r_   r_   r_   r`   ro    s   	
+ro  c                  C   sT   g d} g d}t t| |d dd d}t| |}t|| t|j|j 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(@r|  r  r  g333333@ffffff@g333333@r*   r@  皙	@r   r  r  r)   r  gffffff@ @333333?r  r(   ?r  r  r  r[  rt  r8  r~  r'   rI  rI  r7  r   g/"?r!   r   )r   rP   Zpointbiserialrr   r   r   r   )ry   rZ   r   r   r_   r_   r`   test_pointbiserial,  s    
r  c                  C   sd  t g d} t| }g d}t|d | t g d}t|}t g d}t|d | t| |\}}t||d  t||d  t| || \}}}t||d  t||d  t||d  t d} t g dg dg}tt| d	|  |d
d tdd}	t g d}
t 	|	|
}t g d}t 	||
}t|}t|d |dd d S )N)r   r   r    )r#   rq  r#   r   )r   r   r"   r%   )r:  r   r   r:  r!   )㪪@I?g&>ڿr  r  )5@㪪@gIr  r  r   r$   r?   rF   )r!   rF   r%   r   r   r   )g_v	@g1%?g"u?gZӼ?g!u @gq&@r    )
rU   r   rP   Zobrientransformr
   r   r   r   rg  r  )r  r  r  r  r  r   r   r  r   valuesrepsr  Ztransformed_valuesr_   r_   r`   test_obrientransform=  s:    




r  r   c                 C   s0   t j| |||d}t|||d t|j| d S N)r>   r<   weightsr   )rP   gmeanr
   r   r<   
array_liker  r>   r<   r   r  ry   r_   r_   r`   check_equal_gmeanh  s    r  c                 C   s0   t j| |||d}t|||d t|j| d S r  )rP   hmeanr
   r   r<   r  r_   r_   r`   check_equal_hmeanp  s    r  c                 C   s2   t j| ||||d}t|||d t|j| d S r  )rP   pmeanr
   r   r<   )r  r.  r  r>   r<   r   r  ry   r_   r_   r`   check_equal_pmeanw  s    r  c                   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd ZdS ) TestHarMeanc                 C   s   g d}d}t || d S N)r   r   r   r   r  rY   r   r  r_   r_   r`   test_0  s    zTestHarMean.test_0c                 C   s0   g d}d}t || g d}d}t || d S )Nr  =b#A@r   gQ?r  r  r_   r_   r`   test_1d_list  s    
zTestHarMean.test_1d_listc                 C   s    t g d}d}t|| d S )Nr  r  rU   r   r  r  r_   r_   r`   test_1d_array  s    zTestHarMean.test_1d_arrayc                 C   s&   t ddg}d}tt|| d S )Nr   r   rr   )rU   r   r   rP   r  r  r_   r_   r`   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   rK   )rU   r   rw   rx   rP   r  r  r_   r_   r`   !test_1d_array_with_negative_value  s    z-TestHarMean.test_1d_array_with_negative_valuec                 C   s(   g dg dg dg}d}t || d S NrE   r  r:  r;  r9  r  r  r  rf  r   r  x   gmWUC@r  r  r_   r_   r`   test_2d_list  s    zTestHarMean.test_2d_listc                 C   s.   g dg dg dg}d}t t|| d S r  )r  rU   r   r  r_   r_   r`   test_2d_array  s    zTestHarMean.test_2d_arrayc                 C   s6   g dg dg dg}t g d}t||dd d S )Nr  r  r  )U|ϊ6@g4.=C@JQ6LsJ@E]P@r   r=   r  r  r_   r_   r`   test_2d_axis0  s    zTestHarMean.test_2d_axis0c                 C   s<   g dg dg dg}t g d}ttj|dd| d S )NrE   r   r:  r;  r  r  )r  rr   r  r  r   r=   rU   r   r
   rP   r  r  r_   r_   r`   test_2d_axis0_with_zero  s    z#TestHarMean.test_2d_axis0_with_zeroc                 C   s6   g dg dg dg}t g d}t||dd d S )Nr  r  r  )g3333333@O@y@Y@r   r=   r  r  r_   r_   r`   test_2d_axis1  s    zTestHarMean.test_2d_axis1c                 C   s<   g dg dg dg}t g d}ttj|dd| d S )Nr  r  r  )rr   r  r  r   r=   r  r  r_   r_   r`   test_2d_axis1_with_zero  s    z#TestHarMean.test_2d_axis1_with_zeroc                 C   s(   g d}g d}d}t |||dd d S )Nr   rE   r"   rE   r!   r   r   h㈵>r  r   r  rY   r   r  r  r_   r_   r`   test_weights_1d_list  s    z TestHarMean.test_weights_1d_listc                 C   s\   t ddgddgddgg}t ddgddgddgg}t ddg}t||d|dd	 d S )
Nr   r!   rE   r"   r   r   r   r  r>   r  r   r  r  r_   r_   r`   test_weights_2d_array_axis0  s    z'TestHarMean.test_weights_2d_array_axis0c                 C   sP   t g dg dg}t g dg dg}t ddg}t||d|dd	 d S )
Nr  r#   r#   r#   r  r  r   r#   r   r  r  r  r  r_   r_   r`   test_weights_2d_array_axis1  s    z'TestHarMean.test_weights_2d_array_axis1c                 C   s>   t g d}t jjg dg dd}d}t|||dd d S )Nr   rE   r"   r  rE   r!   r   r  r   r   r   r   r;  r   r  r  )rU   r   r  r  r  r_   r_   r`   test_weights_masked_1d_array  s    z(TestHarMean.test_weights_masked_1d_arrayN)r   r   r   r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r_   r_   r_   r`   r  ~  s   
r  c                   @   s|   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd ZdS )TestGeoMeanc                 C   s   g d}d}t || d S r  r  r  r_   r_   r`   r    s    zTestGeoMean.test_0c                 C   s:   g d}d}t || g d}tdd}t ||dd d S )Nr  sŤF@r   r  r	  rV  r   )r  r   r  r_   r_   r`   r    s    

zTestGeoMean.test_1d_listc                 C   sF   t g d}d}t|| tg dt}tdd}t||td d S )Nr  r  r   r  r	  r;   )rU   r   r  r   r   r  r_   r_   r`   r    s    

zTestGeoMean.test_1d_arrayc                 C   s(   g dg dg dg}d}t || d S Nr  r  r  g/,$qJ@r  r  r_   r_   r`   r    s    zTestGeoMean.test_2d_listc                 C   s,   g dg dg dg}d}t t|| d S r  )r  r   r  r_   r_   r`   r    s    zTestGeoMean.test_2d_arrayc                 C   sl   g dg dg dg}t g d}t||dd tg dg dg dg}tg d}t||ddd	 d S )
Nr  r  r  )g4@A@g5H@g`8|wЭN@gm~&+R@r   r=   r   rV  r>   r   rU   r   r  r  r_   r_   r`   r    s    zTestGeoMean.test_2d_axis0c                 C   sx   g dg dg dg}t g d}t||dd tg dg dg dg}tdd	}t|||g}t||dd
d d S )Nr  r  r  )gD" 6"6@gcP@g
ҧZ@r   r=   r   r  r	  rV  r  )rU   r   r  r   )rY   r   r  r2  r_   r_   r`   r    s    
zTestGeoMean.test_2d_axis1c                 C   s"   t g d}d}t||dd d S )N)g}Ô%ITr   gu <7~r   r%  r   )r   r  r  r_   r_   r`   test_large_values  s    zTestGeoMean.test_large_valuesc                 C   sF   g d}d}t jdd t|| W d    n1 s80    Y  d S )N
rE   r  r:  r;  r9  r  r  r  rf  r   rr   r  r+  )rU   r  r  r  r_   r_   r`   test_1d_list0"  s    zTestGeoMean.test_1d_list0c                 C   sL   t g d}d}t jdd t|| W d    n1 s>0    Y  d S )Nr  rr   r  )r  )rU   r   r  r  r  r_   r_   r`   test_1d_array0)  s    zTestGeoMean.test_1d_array0c                 C   sH   g d}t j}t jdd t|| W d    n1 s:0    Y  d S )N)
rE   r  r:  r;  r9  r  r  r  rf  rK   r  r  )rU   rV   r  r  r  r_   r_   r`   test_1d_list_neg0  s    zTestGeoMean.test_1d_list_negc                 C   s(   g d}g d}d}t |||dd d S Nr  )r   r!   r"   r    r   GZ*oG8@r  r  r  r  r_   r_   r`   r  7  s    z TestGeoMean.test_weights_1d_listc                 C   s4   t g d}t g d}d}t|||dd d S r  r  r  r_   r_   r`   test_weights_1d_array?  s    z!TestGeoMean.test_weights_1d_arrayc                 C   s>   t g d}t jjg dg dd}d}t|||dd d S )Nr  )r   r!   r"   r    r   r!   )r   r   r   r   r   r   r;  r  r  r  )rU   r   r  r  r  r_   r_   r`   r  G  s    z(TestGeoMean.test_weights_masked_1d_arrayN)r   r   r   r  r  r  r  r  r  r  r  r  r  r  r  r  r  r_   r_   r_   r`   r    s   

r  c                
   @   sF  e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	e
jdddgddgddggdfeddgddgddggdfgdd Ze
jdg dg dg dgdfg dg dg dgdfgdd Ze
jdg dg dg dgdfg dg dg dgdfgd d! Zd"d# Zd$d% Ze
jd&g d'd(d) Zd*S )+TestPowMeanc                 C   s   t | | | j d|  S r  )rU   rV  r   r   r   r_   r_   r`   pmean_referenceR  s    zTestPowMean.pmean_referencec                 C   s$   t || |  t | d|  S r  )rU   rV  )r   r   r  r_   r_   r`   wpmean_referenceU  s    zTestPowMean.wpmean_referencec                 C   s   t jtdd" tg ddg W d    n1 s60    Y  t jtdd( tg dtdg W d    n1 s|0    Y  d S )NzPower mean only defined forru   r   r   )r   r   rx   rP   r  rU   r   r1  r_   r_   r`   test_bad_exponentX  s    0zTestPowMean.test_bad_exponentc                 C   sT   g dd }}t t||}t||| g dd }}td}t||| d S )Nr  r*   r   r   r.   )r  r  rU   r   r  r   rY   r   r   r  r_   r_   r`   r  ^  s    
zTestPowMean.test_1d_listc                 C   s0   t g dd }}t||}t||| d S )Nr  g      )rU   r   r  r  r  r  r_   r_   r`   r  g  s    zTestPowMean.test_1d_arrayc                 C   s.   t ddgd }}d}tt||| d S )Nr   r   rK   rr   )rU   r   r   rP   r  r  r_   r_   r`   r  l  s    z#TestPowMean.test_1d_array_with_zeroc                 C   sR   t g dd }}tjtdd t|| W d    n1 sD0    Y  d S )Nr  gGz?zPower mean only defined if allru   )rU   r   r   r   rx   rP   r  )rY   r   r   r_   r_   r`   r  q  s    z-TestPowMean.test_1d_array_with_negative_valuer  rE   r  r9  r  rf  r   r  r'   c                 C   s"   t t||}t||| d S r_  )r  r  rU   r   r  r  r_   r_   r`   test_2d_axisnonev  s    zTestPowMean.test_2d_axisnoner  r  r  r  c                    s4    fddt t d D }t |dd d S )Nc              
      s6   g | ]. t t fd dttD qS )c                    s   g | ]} |  qS r_   r_   r`  )r   rc  r_   r`   rd    re  z=TestPowMean.test_2d_list_axis0.<locals>.<listcomp>.<listcomp>)r  r  rU   r   rg  r/  rh  r  rk  r`   rd    s   "z2TestPowMean.test_2d_list_axis0.<locals>.<listcomp>r   r=   )rg  r/  r  r  r_   r  r`   test_2d_list_axis0  s    zTestPowMean.test_2d_list_axis0c                    s&    fdd|D }t | |dd d S )Nc                    s   g | ]}t t| qS r_   )r  r  rU   r   )ra  Za_r   r_   r`   rd    re  z2TestPowMean.test_2d_list_axis1.<locals>.<listcomp>r   r=   )r  r  r_   r  r`   test_2d_list_axis1  s    zTestPowMean.test_2d_list_axis1c                 C   s@   g dd }}g d}t t|||}t||||dd d S )Nr  gރBr  r  r  )r  r  rU   r   r  rY   r   r   r  r  r_   r_   r`   r    s    z TestPowMean.test_weights_1d_listc                 C   sP   t g dd }}t jjg dg dd}t j||d}t||||dd d S )	Nr  r   r  r  r;  r  r  r  )rU   r   r  averager  r  r_   r_   r`   r    s    z(TestPowMean.test_weights_masked_1d_array)r>   fun_namer   ))Nr  g3E#@)r   r  r   )r   r  rK   c                    s~   |dkr fdd}n
t t|}tddgddgddgg}tddgddgd	dgg}||||d
}t| |||dd d S )Nr  c                    s   t |  |S r_  )r  r  )r   r>   r  r  r_   r`   fun  s    z.TestPowMean.test_weights_2d_array.<locals>.funr   r!   rE   r"   r   r   )r>   r  r  r  )getattrrP   rU   r   r  )rY   r>   r  r   r  r   r  r  r_   r  r`   test_weights_2d_array  s    
z!TestPowMean.test_weights_2d_arrayN)r   r   r   r  r  r  r  r  r  r  r   r
  r  rU   r   r  r  r  r  r  r  r_   r_   r_   r`   r  P  sF   	

	
r  c                   @   s   e Zd Zedd ZdZedddZdd Z	d	d
 Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd  Zd!d" Zd#S )$TestGeometricStandardDeviationr  r   gv aZ@r   r   r    c                 C   s   t | j}t|| j d S r_  )rP   gstdarray_1dr
   gstd_array_1drY   gstd_actualr_   r_   r`   r    s    z,TestGeometricStandardDeviation.test_1d_arrayc                 C   s    t t| j}t|| j d S r_  )rP   r  rh  r  r
   r  r  r_   r_   r`    test_1d_numeric_array_like_input  s    z?TestGeometricStandardDeviation.test_1d_numeric_array_like_inputc                 C   s<   t jtdd td W d    n1 s.0    Y  d S )NzInvalid array inputru   z3This should fail as it can not be cast to an array.)r   r   rx   rP   r  r1  r_   r_   r`   ,test_raises_value_error_non_array_like_input  s    zKTestGeometricStandardDeviation.test_raises_value_error_non_array_like_inputc                 C   sH   t jtdd& tt| jdg W d    n1 s:0    Y  d S )NNon positive valueru   r   r   r   rx   rP   r  rU   r<  r  r1  r_   r_   r`   "test_raises_value_error_zero_entry  s    zATestGeometricStandardDeviation.test_raises_value_error_zero_entryc                 C   sH   t jtdd& tt| jdg W d    n1 s:0    Y  d S )Nr  ru   rK   r  r1  r_   r_   r`   &test_raises_value_error_negative_entry  s    zETestGeometricStandardDeviation.test_raises_value_error_negative_entryc                 C   sJ   t jtdd( tt| jtjg W d    n1 s<0    Y  d S )NzInfinite valueru   )	r   r   rx   rP   r  rU   r<  r  r  r1  r_   r_   r`   !test_raises_value_error_inf_entry  s    z@TestGeometricStandardDeviation.test_raises_value_error_inf_entryc                 C   sB   t g dtjdddgg}tj|dd}t|t dtjg d S )N)r   r   r   r  r   r   r   r=   r    )r   rU   rV   rP   r  r
   )rY   r   r  r_   r_   r`   test_propagates_nan_values  s    z9TestGeometricStandardDeviation.test_propagates_nan_valuesc                 C   sF   t jtdd$ tj| j| jjd W d    n1 s80    Y  d S )NzDegrees of freedom <= 0ru   rb   )r   r   rx   rP   r  r  r   r1  r_   r_   r`   )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=   )rP   r  array_3dr
   r  r  r_   r_   r`   test_3d_array  s    z,TestGeometricStandardDeviation.test_3d_arrayc                 C   s"   t j| jdd}t|ddg d S )Nro  r=   g~d@g<
?)rP   r  r  r
   r  r_   r_   r`   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%:?rP   r  r  rU   r   r
   rY   r  gstd_desiredr_   r_   r`   test_3d_array_axis_0  s    z3TestGeometricStandardDeviation.test_3d_array_axis_0c                 C   s4   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  r_   r_   r`   test_3d_array_axis_1  s    z3TestGeometricStandardDeviation.test_3d_array_axis_1c                 C   s4   t j| jdd}tg dg dg}t|| d S )Nr   r=   )gt80?gі?g?)gۘ]~?gmT6(?g	G?r  r  r_   r_   r`   test_3d_array_axis_2  s    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
  r  )	rU   r  Zmasked_wherer  rP   r  r
   r   r<  )rY   r  r  r  r<  r_   r_   r`   test_masked_3d_array  s    
z3TestGeometricStandardDeviation.test_masked_3d_arrayN)r   r   r   rU   r   r  r  rS   r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r_   r_   r_   r`   r    s"   	r  r  c              	   C   s   d}d}t jd}|dd|f}||dd|f }|dd|f}t|||D ]f\}}}	tjt|d" t	j
|||	| d}
W d    n1 s0    Y  |
t	j|||	| djksTJ qTd S )	Nzk'binom_test' is deprecated in favour of 'binomtest' from version 1.7.0 and will be removed in Scipy 1.12.0.rE   l	   }l6wIK&Ww^?9u r   r   r   ru   r   )rU   r   r   Zintegersr  r-  r   r  r  rP   Z
binom_test	binomtestr   )r   Zdeprecation_msgr/  r   rQ   r  Pry   rl  r   r   r_   r_   r`   test_binom_test_deprecation  s    0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|||j|dd| d qHttdddjddd d S )Nr7  rI  r!   rK  g?r  gffffff?r  i  )rr   rr   gs  gG|G{g	ɺM>6g>
ztt+g#ӌRM/gF׸fz2gU8u5g8M8gФ)Ba?g%վ?g*+a5?gś?gڒJ|>rG   zfail forp=%f)r5   err_msgr9  r   gVݶ3;r4   )rU   r  rK  r-  r	   rP   r  r   )pprl  ry   r  r   r   r_   r_   r`   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 ]4  fddt  d D }t||  d  dd qJd S )Nr   )r'   r   r'   )r	  r   r   r	  )r]  r<  r   r<  r]  )r_        ?r   r   r  r_  )r`        ?      ?r   r  r  r`  )r\  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   rF   c                    s   g | ]}t | d jqS )r'   )rP   r  r   )ra  r2  r  r_   r`   rd  @  re  z#test_binomtest2.<locals>.<listcomp>rE   r?   )rg  r   )r  r  r_   r  r`   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   s4   g | ],}t d dD ]}t||| d| jqqS )r   rF   r   rg  rP   r  r   ra  r2  rY  r_   r_   r`   rd  G  s   z#test_binomtest3.<locals>.<listcomp>r   rF   )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$)?g]
yi/Q?gl?gl?g3Ȇ?gѾ_c?c              	   S   s8   g | ]0}t d dD ] }t|d || d| jqqS r   rF   r   r   r  r  r_   r_   r`   rd    s   c              	   S   s8   g | ]0}t d dD ] }t|d || d| jqqS r  r  r  r_   r_   r`   rd    s   rH   r?   )rg  r   rU   ro  r/  rb  r   r   )r  Zbinom_testm1Zbinom_testp1Zres4_p1Zres4_m1r_   r_   r`   test_binomtest3D  s    	(r  c                   @   s$   e Zd Zdd Zdd Zdd ZdS )TestTrimc                 C   sr  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  t ddd}t dddd}d}tj|dd|d}tt j||d| d}tj|jdd|d}tt j||d|j d S )NrF   r7  rE   rI  r%   left)tailr   tE]t?r   r   r;  r  r"   r    r!   r   )r  r>   r=   r   )rU   r   r   sortrP   Ztrim1rS   rP  )rY   r   r  r>   Ztrimmedr_   r_   r`   
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 )NrF   r  r   r$   rI  )r   r   r    r!   r"   r#   r$   r  r"   r    r  r   )r   r$   rC   r  )r   r%   r  rB   r;  r7  )rU   r   r   r   rP   Ztrimbothr   rS   rP  rw   rx   r  r_   r_   r`   test_trimboth  s&    
  zTestTrim.test_trimbothc           
      C   s  t g d}t g d}t ddd|d d f }t djdddd|d d f }tt|dt g d	 tt|dt g d
 t g d}t ddd|d d f }tt|dt g d g d}tt|dd ttg ddd t jd t jj	ddd}dD ]6}tj|d|d}tt 
||dd}	t||	 q,tj|dd d}t| d}	t||	 tttj|d ttg dt j ttg dt j d S )N)r    r$   r   r   r%   r!   rE   r   r#   r   r"   )r   r!   r   r   r   r    r  r"   r    F)orderr   )r)   r/   g      -@g     4@r+  )r   r   r   r   )r~   rm   r  r%  r,  g      ,@)r#   rF   rG   rB   r  r"   r"  r   r!   r   r  rE   rN   r%   r  r  r  r  r   rC   r    rH   r$   r   rD   )r!   r    r   r   r   r   r)   r  r  )r!   r"   r    r#   r   )r   r   r   r   rK   r=   r   r~  rr   )rU   r   r   rS   r   rP   Z	trim_meanr   rM  r  r{  r  rw   rx   rV   )
rY   r   idxr  r  Zidx4Za4r>   r  r  r_   r_   r`   test_trim_mean  s<    "
zTestTrim.test_trim_meanN)r   r   r   r!  r"  r&  r_   r_   r_   r`   r    s   r  c                   @   s4   e Zd Zdd Zdd Zdd Zdd Zd	d
 ZdS )TestSigmaClipc                 C   s   t t dddt dddf}d}t|\}}}t| |k t| |k  t||	 ||
    t||	 ||
    t|j|j d S )Nr  rJ      r   r  r!   r    rU   r  rK  rP   	sigmaclipr   minmaxr   rT   rh   r   rY   r   factr  r$  Zuppr_   r_   r`   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  rJ   r(  r   r  r!   r(   r    $   r)  r-  r_   r_   r`   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  rJ   rF   r   ?)rU   r  rK  rP   r*  r   r+  r,  r   rT   rh   r-  r_   r_   r`   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  rJ   rF   r2  r3  r   r4  )Zclippedr  r  )rU   r  rK  rP   r*  r   )rY   r   r.  r   r   r_   r_   r`    test_sigmaclip_result_attributes  s    z.TestSigmaClip.test_sigmaclip_result_attributesc                 C   s"   t d}tt|d | d S )NrE   r   )rU   ro  r   rP   r*  rS  r_   r_   r`   test_std_zero"  s    
zTestSigmaClip.test_std_zeroN)r   r   r   r/  r1  r5  r6  r7  r_   r_   r_   r`   r'    s
   
r'  c                   @   sT   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd ZdS )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r|j  kr|	jksn J |j	|j	  kr|j	  kr|	j	ksn J d S )N)	rH   rH   rH   rH   rH   rH   rH   rG   rG   )	rC   rH   rG   rG   rG   rG   rG   rF   rF   )	rC   rC   rH   rH   rH   rH   rH   rG   rG   )	r  rC   rH   rH   rH   rG   rG   rG   rF   r;   )
rU   r   r'  r  r  r   rP   alexandergovernr   r   )
rY   r  Z
args_int16Z
args_int32Z
args_uint8Zargs_float64Z	res_int16Z	res_int32Z	res_unit8Zres_float64r_   r_   r`   test_compare_dtypes)  s.    



z'TestAlexanderGovern.test_compare_dtypesc                 C   sH  t tdd  tddgg  W d    n1 s20    Y  t tdd  tddgd W d    n1 sn0    Y  t tdd" tddgdg W d    n1 s0    Y  t tdd( tddgtjtjg W d    n1 s0    Y  t tdd, tddgddgddgg W d    n1 s:0    Y  d S )	Nz+Input sample size must be greater than one.ru   r   r   zInput samples must be finite.z%Input samples must be one-dimensionalr   r    )rw   rx   rP   r9  rU   r  r1  r_   r_   r`   test_bad_inputs=  s    ..06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rP   r9  r
   r   r   )rY   ZoneZtwoZeightsolnr_   r_   r`   test_compare_rR  s    z"TestAlexanderGovern.test_compare_rc                 C   sb   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<  )rY   ZyoungZmiddleoldr=  r_   r_   r`   test_compare_scholar  s     z(TestAlexanderGovern.test_compare_scholarc                 C   sX   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$?g6MDd}?Nr<  )rY   r  r  r=  r_   r_   r`   test_compare_scholar3  s    z)TestAlexanderGovern.test_compare_scholar3c                 C   s<   g ddt jgg}tj| }t|jt j t|jt j d S )Nr   r   rU   rV   rP   r9  r   r   r   )rY   r  r   r_   r_   r`   test_nan_policy_propogate  s    
z-TestAlexanderGovern.test_nan_policy_propogatec                 C   sR   g ddt jgg}ttdd  tj|ddi W d    n1 sD0    Y  d S )Nr   r   r  ru   rq   rs   )rU   rV   rw   rx   rP   r9  rY   r  r_   r_   r`   test_nan_policy_raise  s    z)TestAlexanderGovern.test_nan_policy_raisec                 C   s`   g ddt jddgg}g dg dg}tj|ddi}tj| }t|j|j t|j|j d S )	N)r   r   r   Nr    r   r  r  r   )r   r  r  rq   ro   rB  )rY   Zargs_nanZargs_no_nanZres_nanZ
res_no_nanr_   r_   r`   test_nan_policy_omit  s    
z(TestAlexanderGovern.test_nan_policy_omitc                 C   sf   d}t tj|d@ tg dg d}t|jtj t|jtj W d    n1 sX0    Y  d S )Nz9An input array is constant; the statistic is not defined.ru   r   r   )	r   rP   r   r9  r   r   rU   rV   r   )rY   rz   r   r_   r_   r`   r     s    
z'TestAlexanderGovern.test_constant_inputN)r   r   r   r:  r;  r>  r@  rA  rC  rE  rF  r   r_   r_   r_   r`   r8  (  s   B22r8  c                	   @   s  e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Ze	j
deg deg dejdffeg deg dejejffgdd Ze	j
dg ddd Zdd Zdd Zdd Zdd Ze	j
dd g d!fgd"d# Zd$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   rr   r   rP   f_onewayr   rY   r#  r   r_   r_   r`   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    rD  r   r'   rV  r   )rP   rI  r   r
   rU   r   rJ  r_   r_   r`   r     s    
zTestFOneWay.test_basicc                 C   s2   t dgdgg d\}}t|d t|d d S )Nr   r  r~  r<  rH  rJ  r_   r_   r`   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?rV  r   )rU   r   uint16rP   rI  r
   )rY   r   r   r#  r   r_   r_   r`   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 )NrM  rN  r;   rO  rP  r  )rU   r   rQ  rP   rI  r   )rY   r   r   r   r   r_   r_   r`   test_result_attributes7  s
    z"TestFOneWay.test_result_attributesc              	      s  g d}|D ]}d}t jt jt jtd|}t|}| d}W d    n1 s`0    Y  dd |dd D }t	j
|d	d
}|j\ tt	}	t|d d } fdd|	D }
tj|
 }d}||v rd}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_anova
c                 S   s   g | ]}|  r| qS r_   )stripsplit)ra  liner_   r_   r`   rd  K  s   z)TestFOneWay.test_nist.<locals>.<listcomp>r;  r%  r  )Zskiprowsr   rK   c                    s   g | ]} |k qS r_   r_   r`  rr  r_   r`   rd  S  re  )rT  rU  rV  r  zFailing testcase: %s)r   r  )ospathabspathjoindirname__file__openreadrY  rU   ZloadtxtrP  r  rb  uniquer  rP   rI  r
   )rY   	filenamesZ	test_caser   fnamer  contentZ	certifiedZdatafZcatyZxlistr   Zhard_tcr_   rr  r`   	test_nist>  s,    
,



zTestFOneWay.test_nistza, b, expected)r  r  r  r  r   c                 C   sV   d}t tj|d0 t||\}}|s4J ||kW d    n1 sH0    Y  d S )N%Each of the input arrays is constant;ru   )r   rP   r   rI  )rY   r   r   r  rz   r  r   r_   r_   r`   r   ^  s    zTestFOneWay.test_constant_inputr>   )rq  rK   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 r|j}|j}|j}d}nd}d}ttj|d& tj||||d\}}W d    n1 s0    Y  dD ]X}	tt ||	|t ||	|t ||	|\}
}t||	 |
dd t||	 |dd qdD ]}	ttj|d\ tt ||	|t ||	|t ||	|\}
}t	||	 |
 t	||	 | W d    n1 s0    Y  qRd 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   rh  ru   r=   re  rV  r   r2  )
rU   r   rP  r   rP   r   rI  Ztaker
   r   )rY   r>   r   r   r  Z	take_axisr  r  r   rc  fjZpjr_   r_   r`   test_2d_inputsi  sX    


4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sxJ |jdksJ t|jd D ]x}t|jd D ]d}t||d d |f ||d d |f ||d d |f \}}	t||||f  t|	|||f  qqd S )Nr   r      r    r!   r#   r      r$   q   r=   )r    r#   r   )	rU   r   rS   cosrP   rI  rO  rg  r
   )
rY   r   r   r  r  r   rb  rc  ZfijZpijr_   r_   r`   test_3d_inputs  s     <zTestFOneWay.test_3d_inputsc                 C   s^   d}t tj|d8 tg dg g d}t|tjtjf W d    n1 sP0    Y  d S )Nall input arrays have length 1.ru   r   r  r   rP   DegenerateDataWarningrI  r   rU   rV   rY   rz   r   r_   r_   r`   test_length0_1d_error  s    z!TestFOneWay.test_length0_1d_errorc           	      C   s   d}t tj|dv d}td|f}td|f}td|f}t|||\}}tj|ftjd}t|| t|| W d    n1 s0    Y  d S )Nrp  ru   r   r    r   r!   rS  )	r   rP   rr  rU   ro  rI  rf   rV   r   )	rY   rz   Zncolsr   r   r  r  r   Znansr_   r_   r`   test_length0_2d_error  s    
z!TestFOneWay.test_length0_2d_errorc                 C   s`   d}t tj|d: tdgdgdgdg}t|tjtjf W d    n1 sR0    Y  d S )Nrp  ru   rE   rF   rG   rH   rq  rs  r_   r_   r`   test_all_length_one  s    zTestFOneWay.test_all_length_oner  r_   r   c                 C   s6   t t tj|  W d    n1 s(0    Y  d S r_  )rw   r  rP   rI  rD  r_   r_   r`   test_too_few_inputs  s    
zTestFOneWay.test_too_few_inputsc                 C   sR   t d}t d}tt j  tj||dd W d    n1 sD0    Y  d S )Nr  r!   r    r   r=   )rU   ro  rw   r|  rP   rI  rY   r   r   r_   r_   r`   test_axis_error  s    

zTestFOneWay.test_axis_errorc                 C   sP   t d}t d}tt  tj||dd W d    n1 sB0    Y  d S )Nr  rx  r   r=   )rU   ro  rw   rx   rP   rI  ry  r_   r_   r`   test_bad_shapes  s    


zTestFOneWay.test_bad_shapesN)r   r   r   rK  r   rL  rR  rS  rg  r   r
  r  rU   r   r  rV   r   rj  ro  rt  ru  rv  rw  rz  r{  r_   r_   r_   r`   rG    s*   
 "$

/
rG  c                   @   sT   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd ZdS )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   )	rP   kruskalr   r	   r  r  r  rU   r   rY   ry   rZ   hr   r_   r_   r`   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$   rE   r  rE   r4   r   )rP   r}  r	   r  r  r  rU   r   r~  r_   r_   r`   r     s    zTestKruskal.test_basicc                 C   s<   dg}ddg}d}d}|| }t ||\}}t|| d S )Nr   r   r  r  )rP   r}  r   rY   ry   rZ   h_uncorrrm  r  r  r   r_   r_   r`   test_simple_tie  s    zTestKruskal.test_simple_tiec                 C   sJ   g d}g d}d}dt dd  }|| }t||\}}t|| d S )N)r   r   r   r   )r   r   r   r   r   r        )r  rP   r}  r	   r  r_   r_   r`   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   r3   r   r  r  )r  rP   r}  r	   r  r  r  )	rY   ry   rZ   r  r  rm  r  r  r   r_   r_   r`   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   rP   r}  rU   rV   re  r_   r_   r`   r  
  s    zTestKruskal.test_emptyc                 C   s.   g d}g d}t ||}d}t|| d S )Nr}   r  r  )rP   r}  r   )rY   ry   rZ   r   r   r_   r_   r`   test_kruskal_result_attributes  s
    z*TestKruskal.test_kruskal_result_attributesc                 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 )Nrm   r%   ro   rp   r  rs   rt   )	rU   r   rV   r   rP   r}  r   rw   rx   rS  r_   r_   r`   rU    s    

zTestKruskal.test_nan_policyc                 C   sB   d}t j|}t j|d }t||\}}d}t|| d S )Nrg  r9  r   )rU   r   rN  rP   r}  r	   )rY   rl  ry   rZ   r  r   r  r_   r_   r`   test_large_no_samples   s    z!TestKruskal.test_large_no_samplesN)r   r   r   r  r   r  r  r  r  r  rU  r  r_   r_   r_   r`   r|    s   

	r|  c                   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zg dZejdg dejdedd Zejdedd ZdS )TestCombinePvaluesc                 C   s(   t jg ddd\}}t|ddd d S )Nr   rI  r:  r  r  gf?r    r4   rP   combine_pvaluesr	   )rY   Zxsqr   r_   r_   r`   test_fisher,  s    zTestCombinePvalues.test_fisherc                 C   s(   t jg ddd\}}t|ddd d S )Nr  stoufferr  S:X?r    r4   r  rY   Zr   r_   r_   r`   test_stouffer1  s    z TestCombinePvalues.test_stoufferc                 C   s(   t jg ddd\}}t|ddd d S )N)r'   r'   r'   r  r  r'   r    r4   r  r  r_   r_   r`   test_stouffer25  s    z!TestCombinePvalues.test_stouffer2c                 C   s0   t jg ddtdd\}}t|ddd d S )Nr  r  r   r   r  r  r    r4   )rP   r  rU   ro  r	   r  r_   r_   r`   test_weighted_stouffer9  s    
z)TestCombinePvalues.test_weighted_stoufferc                 C   s0   t jg ddtdd\}}t|ddd d S )Nr  r  )r   r    r%   r  g46<?r    r4   )rP   r  rU   r   r	   r  r_   r_   r`   test_weighted_stouffer2>  s    
z*TestCombinePvalues.test_weighted_stouffer2c                 C   s(   t jg ddd\}}t|ddd d S )Nr  r  r  gE
)??r    r4   r  r  r_   r_   r`   test_pearsonC  s    zTestCombinePvalues.test_pearsonc                 C   s(   t jg ddd\}}t|ddd d S )Nr  tippettr  gBi?r    r4   r  r  r_   r_   r`   test_tippettG  s    zTestCombinePvalues.test_tippettc                 C   s(   t jg ddd\}}t|ddd d S )N)r7  r7  r7  mudholkar_georger  g&?r    r4   r  r  r_   r_   r`   test_mudholkar_georgeK  s    z(TestCombinePvalues.test_mudholkar_georgec                 C   s\   t jg ddd\}}t jg ddd\}}t jg ddd\}}td||  |dd d S )	Nr  r  r  r  r  r'   r    r4   r  )rY   r  r   ZZ_fZp_fZZ_pZp_pr_   r_   r`   2test_mudholkar_george_equal_fisher_pearson_averageO  s    zETestCombinePvalues.test_mudholkar_george_equal_fisher_pearson_average)r  r  r  r  r  r  )singlerG  r   r   c                    s   d\}}t jd}|dkrNt ||f||}t dd||d d df< nL|dkrtt ||ft dd|j}n&|dkrt j|jdd	||fd
dd} fdd|D }t t 	|dksJ d S )N)rE   r#   l	   TrU(	"b-= r  r7  r9  r   rG  r   r   r   r=   c                    s   g | ]}t j| d d qS )r  r   )rP   r  )ra  r  r  r_   r`   rd  j  s   z8TestCombinePvalues.test_monotonicity.<locals>.<listcomp>)
rU   r   r   rf   rK  rP  r   r  rG  diff)rY   r  r   rj  rl  r   ZpvaluessZcombined_pvaluesr_   r  r`   test_monotonicityW  s    
z$TestCombinePvalues.test_monotonicityc                 C   s(   t jg d|d}t|j|jf| d S )Nr  r  )rP   r  r   r   r   )rY   r   r   r_   r_   r`   r@  p  s    zTestCombinePvalues.test_resultN)r   r   r   r  r  r  r  r  r  r  r  r  r  r   r
  r  r  r@  r_   r_   r_   r`   r  *  s   r  c                   @   s8   e Zd ZdZdd Zdd Zdd Zdd	 Zd
d ZdS )TestCdfDistanceValidationzg
    Test that _cdf_distance() (via wasserstein_distance()) raises ValueErrors
    for bad inputs.
    c                 C   s<   t ttjdgdgdgddg t ttjdgdgddg d S )Nr   r   r    r   r   rw   rx   rP   wasserstein_distancer1  r_   r_   r`   &test_distinct_value_and_weight_lengths|  s    z@TestCdfDistanceValidation.test_distinct_value_and_weight_lengthsc                 C   s@   t ttjddgdgddg t ttjddgdgddgdg d S )Nr   r   r   r   r  r1  r_   r_   r`   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   rK   r  r1  r_   r_   r`   test_negative_weights  s    z/TestCdfDistanceValidation.test_negative_weightsc                 C   s*   t ttjg ddg t ttjdgg  d S )Nr   r   r  r1  r_   r_   r`   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 )NrI  r   )rw   rx   rP   r  rU   r  r1  r_   r_   r`   test_inf_weight  s    z)TestCdfDistanceValidation.test_inf_weightN)	r   r   r   r	  r  r  r  r  r  r_   r_   r_   r`   r  v  s   r  c                   @   sH   e Zd ZdZdd Zdd Zdd Zdd	 Zd
d Zdd Z	dd Z
dS )TestWassersteinDistancez5 Tests for wasserstein_distance() output values.
    c                 C   s   t tddgdgddgdgd t tddgdgddgdgd t tddgdgddgdgd t tg dg dd d S )	Nr   r   r'   r   r	  r   r$  r   r   rP   r  r1  r_   r_   r`   r    s&    z#TestWassersteinDistance.test_simplec                 C   sD   t tg dg dd t tg dddgg dddgd d S 	Nr   r   r   )r   r   r   r    r    r   r  r   )r   rP   r  r1  r_   r_   r`   test_same_distribution  s    z.TestWassersteinDistance.test_same_distributionc                 C   sp   t tdgdgd t tdgdgd t tg dg dd t tg dg d	g d
g dd d S )Nr   r   r  r!   rE   r  )rF   rG   rH   rC   r  )r+   g@r  )r  r#   r  )r   r   r   )r   r   r   r)   r  r1  r_   r_   r`   
test_shift  s    z"TestWassersteinDistance.test_shiftc              	   C   sF   t tg dg dg dg dtg dg dg dg d d S N)r   r   r   r   r   r   r!   )r   r   r   r   r   r    r    )r   r   r   r   r   r   r   )r!   r   r   )r   r    r   r   r   r    r  r1  r_   r_   r`   test_combine_weights  s    z,TestWassersteinDistance.test_combine_weightsc                 C   s|   t ddd}t |}tt||t t | t t|}|d d d }tt||||t j	t ||d d S )NrY  r:  r:  rK   r  )
rU   r   Z
zeros_liker   rP   r  rT   r  r/  r  )rY   r1  r2  Z	u_weightsZ	v_weightsr_   r_   r`   test_collapse  s    

z%TestWassersteinDistance.test_collapsec              	   C   sF   t tg dddgg dddgtddgddgddgddg d S N)r   r   ru  r   r!  r   r  r1  r_   r_   r`   r    s    z(TestWassersteinDistance.test_zero_weightc                 C   s   t tddtjgddgtj t tddtjgtj dgtj t tdtj tjgddgtj t >}|td t tddtjgtjdgtj W d    n1 s0    Y  d S Nr   r   rn   )	r   rP   r  rU   r  r   rW   rX   rV   rY   r^   r_   r_   r`   test_inf_values  s$    z'TestWassersteinDistance.test_inf_valuesN)r   r   r   r	  r  r  r  r  r  r  r  r_   r_   r_   r`   r    s   	
r  c                   @   s@   e Zd ZdZdd Zdd Zdd Zdd	 Zd
d Zdd Z	dS )TestEnergyDistancez0 Tests for energy_distance() output values.
    c                 C   s   t tddgdgddgdgtdd  t tddgdgddgdgtdd  t tddgdgddgdgd t tg dg d	tdd
  d S )Nr   r   r   r'   r   r	  r   r$  r   g3Ey?r   rP   energy_distancerU   r   r1  r_   r_   r`   r    s$    zTestEnergyDistance.test_simplec                 C   sD   t tg dg dd t tg dddgg dddgd d S r  )r   rP   r  r1  r_   r_   r`   r    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   r  r!   gS[:XL	@r  r1  r_   r_   r`   r    s
    zTestEnergyDistance.test_shiftc              	   C   sF   t tg dg dg dg dtg dg dg dg d d S r  r   rP   r  r1  r_   r_   r`   r    s    z'TestEnergyDistance.test_combine_weightsc              	   C   sF   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 r  r  r1  r_   r_   r`   r  %  s    z#TestEnergyDistance.test_zero_weightc                 C   s   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    n1 s0    Y  d S r  )	r   rP   r  rU   r  r   rW   rX   rV   r  r_   r_   r`   r  +  s     z"TestEnergyDistance.test_inf_valuesN)
r   r   r   r	  r  r  r  r  r  r  r_   r_   r_   r`   r    s   r  c                   @   s   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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    rH   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   r4   |	&	@|	&	gҏGg?g@-pL?)rP   brunnermunzelrQ   rr  r	   r5   r   rs  r_   r_   r`   test_brunnermunzel_one_sidedB  s2    z.TestBrunnerMunzel.test_brunnermunzel_one_sidedc                 C   st   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   r4   r  r   ҏGw?rP   r  rQ   rr  r	   r5   ry  r_   r_   r`   test_brunnermunzel_two_sidedY  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 )Nr4   r  r  r  r  ry  r_   r_   r`   test_brunnermunzel_defaultf  s    z,TestBrunnerMunzel.test_brunnermunzel_defaultc                 C   s6   d}d}d}t |dv tttj| j| j||| d S )Nr  r  r]  r  r   rw   rx   rP   r  rQ   rr  rY   r   distributionrq   r_   r_   r`   $test_brunnermunzel_alternative_errors  s    z6TestBrunnerMunzel.test_brunnermunzel_alternative_errorc                 C   st   t j| j| jdd\}}t j| j| jdd\}}t||| jd t|d| jd t|d| jd t|d| jd d S )Nr   r  r4   r  r  g "H[?r  ry  r_   r_   r`   $test_brunnermunzel_distribution_norm  s    z6TestBrunnerMunzel.test_brunnermunzel_distribution_normc                 C   s6   d}d}d}t |dv tttj| j| j||| d S )Nr   r  r]  )r  r   r  r  r_   r_   r`   %test_brunnermunzel_distribution_error  s    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_  )rP   r  rQ   rr  r   rU   rV   )rY   rt  r$  ru  r9  rv  r:  r_   r_   r`   test_brunnermunzel_empty_imput  s    z0TestBrunnerMunzel.test_brunnermunzel_empty_imputc                 C   s   ddddddddddddddt jg}g d}tj||dd\}}tj||dd\}}t|t j t|t j t|t j t|t j d S )Nr   r   r    r  r]  rp   )rU   rV   rP   r  r   rY   rQ   rr  rt  r$  ru  r9  r_   r_   r`   &test_brunnermunzel_nan_input_propagate  s    $z8TestBrunnerMunzel.test_brunnermunzel_nan_input_propagatec                 C   sh   ddddddddddddddt jg}g d}d}d}d}tttj||||| tttj||||| d S )Nr   r   r    r  r   r  rs   )rU   rV   rw   rx   rP   r  )rY   rQ   rr  r   r  rq   r_   r_   r`   "test_brunnermunzel_nan_input_raise  s*    $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    r  ro   rp   r4   r  r  r  )rU   rV   rP   r  r	   r5   r  r_   r_   r`   !test_brunnermunzel_nan_input_omit  s    $z3TestBrunnerMunzel.test_brunnermunzel_nan_input_omitc                 C   sR   g d}g d}t jtdd  tj||dd W d   n1 sD0    Y  dS )z| tests that a warning is emitted when p is nan
        p-value with t-distributions can be nan (0/0) (see gh-15843)
        r   r  zp-value cannot be estimatedru   r  r  N)r   r  rX   rP   r  r   r_   r_   r`   test_brunnermunzel_return_nan  s    z/TestBrunnerMunzel.test_brunnermunzel_return_nanc                 C   s`   g d}g d}t jtdd$ tj||dd\}}W d   n1 sH0    Y  t|d dS )	zo tests that a p is 0 for datasets that cause p->nan
        when t-distribution is used (see gh-15843)
        r   r  zdivide by zeroru   r   r  Nr   )r   r  rX   rP   r  r   )rY   ry   rZ   r,  r   r_   r_   r`   test_brunnermunzel_normal_dist  s
    2z0TestBrunnerMunzel.test_brunnermunzel_normal_distN)r   r   r   rQ   rr  r5   r  r  r  r  r  r  r  r  r  r  r  r  r_   r_   r_   r`   r  <  s   
r  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  rT  r  r   r	  Tc                 S   s   t |  S r_  )rU   r.  r   r_   r_   r`   r!    re  z6TestRatioUniforms.test_rv_generation.<locals>.<lambda>rK   r   )umaxvminvmaxr   r   Zexpon)	rP   r  pdfrU   r   rvs_ratio_uniformsr   rG  r.  )rY   r  v_boundr  r  r  r   r_   r_   r`   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  rT  r  )r   r   )r   r   r   rG      r   r   r  )	rP   r  r  rU   r   r  r   rR  rO  )rY   r  r  r  r  r  r  r  r  Zr4Zr5Zr6Zr7r8r_   r_   r`   
test_shape  sB    

zTestRatioUniforms.test_shapec                 C   s   t jj}t|tdtd }t|d| |  }}}tjd t j||||dd}t j||||ddd}t|| d S )Nr   r   r  r  r   rT  )	rP   r  r  rU   r   r   rM  r  r   )rY   r  r  r  r  r  r  r  r_   r_   r`   test_random_state  s    z#TestRatioUniforms.test_random_statec                 C   sd   t jj}ttt j|dddd ttt j|dddd ttt j|dddd ttt j|dddd d S )Nr   r   )r  r  r  r  rK   r   )rP   r  r  rw   rx   r  )rY   r  r_   r_   r`   test_exceptions'  s    z!TestRatioUniforms.test_exceptionsN)r   r   r   r	  r  r  r  r  r_   r_   r_   r`   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!   rU   r   rw   rx   rP   multiscale_graphcorrr   r_   r_   r`   test_error_notndarray8  s    

z*TestMGCErrorWarnings.test_error_notndarrayc                 C   s2   t ddd}|dd}tttj|| d S )Nr   r  r    rE   )rU   r   rS   rw   rx   rP   r  r   r_   r_   r`   test_error_shape?  s    z%TestMGCErrorWarnings.test_error_shapec                 C   s(   t d}t d}tttj|| d S )Nr   r  r   r_   r_   r`   test_error_lowsamplesE  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   )rU   r   r  rV   rw   rx   rP   r  r   r_   r_   r`   test_error_nansK  s
    

z$TestMGCErrorWarnings.test_error_nansc                 C   s&   t d}d}tttj|||d d S )Nr  r   )compute_distancer  )rY   ry   r  r_   r_   r`   test_error_wrongdisttypeT  s
    
z-TestMGCErrorWarnings.test_error_wrongdisttyper  rK   1c                 C   s"   t d}tttj|||d d S )Nr  r  r  )rY   r  ry   r_   r_   r`   test_error_reps[  s    
z$TestMGCErrorWarnings.test_error_repsc                 C   s&   t d}d}tttj|||d d S )Nr  r   r  )rU   r   r   rX   rP   r  )rY   ry   r  r_   r_   r`   test_warns_repsd  s    
z$TestMGCErrorWarnings.test_warns_repsc                 C   s.   t d}t dt j }tttj|| d S )Nr  )rU   r   ro  r  rw   rx   rP   r  r   r_   r_   r`   test_error_inftyj  s    
z%TestMGCErrorWarnings.test_error_inftyN)r   r   r   r	  r  r  r  r  r  r   r
  r  r  r  r  r_   r_   r_   r`   r  5  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ejjdd Zejjdd ZdS )TestMGCStatz) Test validity of MGC test statistic
    r   r    c                 C   st  |dkr<t jjdd|dfd}|dt jj|jdfd  }n|dkrt t jjdd|dfd}|t t j|  }|t t j|  d	t jj|jdfd  }n|d
kr.t 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rlt jj	dd||d fd}t j||fdd}||fS )Nrg  rK   r   r   r:  	nonlinearr   r!   r}  independencer'   )r   r   r   r   z3sim_type must be linear, nonlinear, or independencer=   )rU   r   r  Zrandom_sampler   r   rn  pirL  r   binomialrx   r  )rY   sampsdimssim_typery   rZ   Zunifr1  r2  Zu_2Zv_2Z
dims_noiser_   r_   r`   _simulationst  s*    

zTestMGCStat._simulationszsim_type, obs_stat, obs_pvalue))rg  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 )Nr  r   r   r  r  r  r4   rU   r   rM  r  rP   r  r	   	rY   r  Zobs_statZ
obs_pvaluery   rZ   r  r   r,  r_   r_   r`   	test_oned  s
    zTestMGCStat.test_oned)rg  gZd;O?r   )r  g~jt?gʡE?c           	      C   sR   t jd | jdd|d\}}t||\}}}t||dd t||dd d S )Nr  r   r!   r  r   r4   r  r  r_   r_   r`   
test_fived  s
    zTestMGCStat.test_fivedc                 C   s   t jd t jjdddd}t jjdddd}t||\}}}t|d	dd
 t|ddd
 t jjdddd}tj||dd\}}}t|d	dd
 t|ddd
 d S )Nr  r   r'   )r   r!   r   r   r   )r  r!   r   r4   r   T)Z
is_twosamp)rU   r   rM  r  r   rP   r  r	   rY   ry   rZ   r  r   r,  r_   r_   r`   test_twosamp  s    zTestMGCStat.test_twosampc                 C   sV   t jd | jdddd\}}tj||dd\}}}t|ddd	 t|d
dd	 d S )Nr  r   r   rg  r  r   )workersr=  r4   r   r  r  r_   r_   r`   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   rg  r  r   r=  r4   r   )r  rP   r  r	   r  r_   r_   r`   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 )Nr  r   r   r  r  Z	euclidean)Zmetric)r  r   r  r4   r   )rU   r   rM  r  r   rP   r  r	   )rY   ry   rZ   ZdistxZdistyZ	stat_distZpvalue_distr,  r_   r_   r`   test_dist_perm  s    zTestMGCStat.test_dist_permc                 C   sD   t jd | jdddd\}}tj||dd\}}}t|d d S )Nr  r   r   rg  r  r   r  )rU   r   rM  r  rP   r  r
   )rY   ry   rZ   r,  r   r_   r_   r`   test_pvalue_literature  s    z"TestMGCStat.test_pvalue_literaturec                 C   sB   t jd | jdddd\}}tj||dd}t|j|j d S )Nr  r   r   rg  r  r   )	rU   r   rM  r  rP   r  r   r  r   re  r_   r_   r`   
test_alias  s    zTestMGCStat.test_aliasN)r   r   r  )r   r   r   r	  r  r   r
  rA  r  r  r  r  r  r  r  r  r  r  r_   r_   r_   r`   r  q  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  rE      i2  g:hў?Fr  i  gsH?i,0  gY@?)rb  r`  I   r  r`  `   r:  ;   rV  r0  r^  1   r]  +   r  r`  r5  r5  rc  r  rA   r  r  r  r9  )D   r)  r  "   r  r  A   X   rB   r]  r%  r(  r(  C   E   r$  r:  r  r;  W   r  r  r9  r  r  )r]  rH   U   r  O   rG   \   V   rB   @   r  r  r  rN   r  Y   rt  r  r  r0  6   rH   B   r  r  i
  gXY?r  )r(   rC  g @r!   r  rF   )r!   r    r*   rE   r  rB   )r>  r  rE   rG   rC   r  iL  gs˜?T)r    r   r   r   )r   r    r   r   r      gĞ?)r   r   r   r   r      g>K=?)r"   r!   r    r   r   r   )r   r   r    r!   r   r"   i  gqူ?)r!   r    r   r   r   )r    r   r   r   r!   r     ga?i  g;?)r#   r"   r!   r    r   r   r   )r"   r!   r#   r    r   r   r   r  u   g[^6?zL, p, ranked, method, datac                 C   sD   t jd tj|||d}t||j t||j t||j	 d S Nr  )rankedr   
rU   r   rM  rP   page_trend_testr   r   r
   r   r   rY   Lr   r   r   r  r   r_   r_   r`   test_accuracyE  s
    zTestPageTrendTest.test_accuracyi  g-lpW?)
rE   r%   r$   r#   r"   r!   r    r   r   r   )
r   r$   r    r#   r"   r!   r%   r   r   rE   i*  gh[?)
r%   r   r$   r#   r"   r!   r    r   rE   r   r  i  g&]2?)r$   r#   r"   r!   r    r   r   r   )r   r   r!   r"   r    r#   r   r$   r  c                 C   sD   t jd tj|||d}t||j t||j t||j	 d S r  r!  r#  r_   r_   r`   test_accuracy2b  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  )rE   r  r   r=   Tr   F)predicted_ranks)rU   r   rM  r   r   rW  rP   Zrankdatar"  r   r   )rY   rj  rl  r(  permr  Zranksr  r  r  Zres4Zres5r_   r_   r`   test_optionsk  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_  rf  k   )g      y   )rX  r4  r  )r6        )   r  t   r   r#   Fr  )r   r(  r   i  gy&1l?r    r?   r  gHPsb?)rU   r   rM  r   rP  r   rP   r"  r   r   r   r   )rY   r  r(  r   r_   r_   r`   test_Ames_assay}  s$    z!TestPageTrendTest.test_Ames_assayc                 C   s  t tdd td  W d    n1 s,0    Y  t tdd tg  W d    n1 sb0    Y  t tdd tddg W d    n1 s0    Y  t tdd  tdggg W d    n1 s0    Y  t tdd$ ttjdd W d    n1 s0    Y  t tdd$ ttjdd W d    n1 s\0    Y  d}t t|d. tjg dg dgg d	d
 W d    n1 s0    Y  t t|d. tjg dg dgg dd
 W d    n1 s0    Y  t t|d. tjg dg dgg dd
 W d    n1 sD0    Y  t t|d* tjg dg dgdd
 W d    n1 s0    Y  t tdd( tg dg dgd W d    n1 s0    Y  t tdd( tg dg dgd W d    n1 s0    Y  t tdd. tjg dddtjggdd W d    n1 sd0    Y  t tdd* tjg dg dgdd W d    n1 s0    Y  t tdd* tjg dg dgdd W d    n1 s0    Y  d S )Nz`data` must be a 2d array.ru   r   r   zPage's L is only appropriater   z+`predicted_ranks` must include each integerr   r$  )r  r(  )r[  r   r   )r   r   r   r   r  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   )	rw   rx   rP   r"  rU   r   rW  rV   r  r  r_   r_   r`   rb    sZ    ((,.44&&&&88&&z'TestPageTrendTest.test_input_validationN)r   r   r   rU   r   rM  rW  Z	data_3_25Z
data_10_26tsr   r
  r  r%  Zts2rA  r&  r*  r4  rb  r_   r_   r_   r`   r    s   $$$$$$$,
r  iv5z	fun, argsc                 C   sz   | |ddi}| |ddi}t || | j d}tjtt|d  | |ddd W d    n1 sl0    Y  d S )Nr   r  r  z#() got multiple values for argumentru   )r   r  )r   r   r   r   r  reescape)r  r  r   r  errr_   r_   r`   test_rename_mode_method  s    
r9  c                   @   sr   e Zd Zdd Zdd Zdd Zdd Zej	d	g d
ej	dddgdd Z
ej	dddgdd ZdS )TestExpectilec                 C   s6   t jd}|jdd}ttj|ddt | d S )Nr  r  r   r'   r6  )rU   r   r   r
   rP   	expectilerT   rY   r   ry   r_   r_   r`   test_same_as_mean  s    zTestExpectile.test_same_as_meanc                 C   s6   t jd}|jdd}ttj|ddt | d S )Nr  r  r   r   r;  )rU   r   r   r
   rP   r<  Zaminr=  r_   r_   r`   test_minimum  s    zTestExpectile.test_minimumc                 C   s6   t jd}|jdd}ttj|ddt | d S )Nr  r  r   r   r;  )rU   r   r   r
   rP   r<  Zamaxr=  r_   r_   r`   test_maximum  s    zTestExpectile.test_maximumc           	         sj   t jd}dd   fdd}d}||}| }||}tj|||d}||||}t|| d S )Nl   b@lN c                 S   s8   t j||d}d| ||| k< t || ||  d  S )NrS  r   r   )rU   rU  rV  )r1  r   r6  r  r3  r_   r_   r`   r    s    z'TestExpectile.test_weights.<locals>.func                    s,   t | t | f}tj || ||fdjS )N)bracketr  )rU   r+  r,  r   Zminimize_scalarry   )r   r6  r  rA  r  r_   r`   
expectile2  s    z.TestExpectile.test_weights.<locals>.expectile2rE   r  )rU   r   r   rP   r<  r
   )	rY   r   rC  rl  r   r6  r  r   r  r_   rB  r`   test_weights  s    

zTestExpectile.test_weightsr6  )rI  g?r'   g/#    ?rt  rl  r  r  c              	   C   s  t jd}|j|d}dD ]"}ttjt j||d|d| q| }ttj|| |dtj||d|  ttj|| |dtj||d|  ttj|| |d|tj||d  |j	|dd}|dkrd	d
 }n|dkrdd
 }ndd
 }|tjt j
||  |dtj||dtj||d  |j|dd}tj||dtj||dksZJ |j	|dd}dD ]N}|tjd| | ||  |dd| tj||d |tj||d   qlttj| |dtj|d| d  dS )u  
        See Section 6 of
        I. Steinwart, C. Pasin, R.C. Williamson & S. Zhang (2014).
        "Elicitation and Identification of Properties". COLT.
        http://proceedings.mlr.press/v35/steinwart14.html

        and

        Propositions 5, 6, 7 of
        F. Bellini, B. Klar, and A. Müller and E. Rosazza Gianin (2013).
        "Generalized Quantiles as Risk Measures"
        http://doi.org/10.2139/ssrn.2225751
        r  r   )r  r   r'   )rO  rT  r;  rE   r  r'   c                 S   s   t | | d S r_  )r
   r   r   r_   r_   r`   	assert_op=   s    z:TestExpectile.test_expectile_properties.<locals>.assert_opc                 S   s   | |k sJ d S r_  r_   rE  r_   r_   r`   rF  A   s    c                 S   s   | |ksJ d S r_  r_   rE  r_   r_   r`   rF  E   s    r!   )r7  r'   rt  r   N)rU   r   r   r   r
   rP   r<  rf   ZexponentialZlogisticr&  )rY   r6  rl  r   ry   r  rZ   rF  r_   r_   r`   test_expectile_properties   s^    


z'TestExpectile.test_expectile_propertiesc                 C   s   t jd}|jd|d}g }t dt dd}t jd|d|d d	d	  df D ]}|tj	||d
 qRt 
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  r  rG  rI  r_   r_   r_   r`   r:    s   ar:  )r   )NNr   N)NNr   N)NNr   N)r	  r[  r6  r  collectionsr   	itertoolsr   Znumpy.testingr   r   r   r   r   r	   r
   r   r   r   r   r   rw   Znumpy.ma.testutilsr  Z	testutilsr2  numpyr   r   r   r   r   rU   Zscipy.statsrP   Zscipy.stats.mstatsrA  Zscipy.stats._mstats_basicZ_mstats_basicr  Zscipy.stats._ksstatsr   Zscipy.special._testutilsr   Zscipy.specialr   Zscipyr   Zcommon_testsr   Zscipy.spatial.distancer   Z	numpy.libr   Zscipy.stats._axis_nan_policyr   r  r   r  rQ   rG  r   r   r   r   r   r0   r   r  rB  r  r  r  r  r  r  r  r(  r*  r-  r5  r6  r>  r  r  r  r  r
  r  r  r  r  r?  rb  rc  r  r  r  ZPowerDivCaser  r  rP  r&  r  r,  r  r  r  r/  r4  r7  rB  rC  rU  rm  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r)  r,  r-  r.  r/  r1  r2  r6  r7  r8  r;  r<  r=  r\  r]  rc  rm  rn  ro  r  r  r  r  r  r  r  r  r  r  r   r  r  r  r'  r8  rG  r|  r  r  r  r  r  r  r  r  r  r   r   r   ry   rZ   ZwilcoxonrL  r  rM  rn  rG  r9  r:  r_   r_   r_   r`   <module>   s  0   D '    L [
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
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