
    e!hO                    X   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	c m
Z ddlZddlZddl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c mZ ddl
mZm Z m!Z!m"Z" ddl
Z#ddl$m%Z% ddl&m%c m'Z' ddl(m%c m)Z* ddl+m,Z, dd	l-m.Z. dd
l/m0Z0 ddl1m2Z2 ddl3m4Z4 ddl5m6Z6m7Z7m8Z8m9Z9m:Z:m;Z; ddl<m=Z=m>Z>m?Z?m@Z@mAZAmBZBmCZC ddlDmEZE ddlFmGZGmHZH ddlImJZJmKZKmLZLmMZMmNZNmOZO ddlPmQZQmRZR ej                  j                  ZT	  eg deU      ZV eg deU      ZW eg deU      ZX eg deU      ZY eg deU      ZZ eg deU      Z[ eg deU      Z\eG eTdd       eTdd      ej                  j                  d        G d! d"                                  Z^ G d# d$      Z_eGej                  j                  d        eTd%&       G d' d(                           Z` G d) d*      Za G d+ d,      Zb G d- d.      Zcd/ Zdd0 Zed1 Zfd2 Zg G d3 d4      Zhd5 Zid6 Zjd7 Zkd8 Zl G d9 d:      Zm G d; d<      Znd= Zod> Zpd? Zq G d@ dA      Zr G dB dC      ZseG G dD dE             ZteGej                  j                  d        eTddF       G dG dH                           Zu G dI dJ      ZvdK Zw G dL dM      Zx G dN dO      Zy G dP dQ      Zz G dR dSez      Z{ G dT dUez      Z|ej                  j                  dV        Zej                  j                  d%dWX      ej                  j                  d       eG G dY dZ                           Z G d[ d\      Z ed]g d^      Z eg d_dddd`dad` e#j                  db      z  dc e#j                  dd      z  z   z  dade e#j                  df      z  de e#j                  dg      z  z   z  dh^       eg d_g didddjdad` e#j                  df      z  de e#j                  db      z  z   de e#j                  dk      z  z   z  dada e#j                  db      z  dl e#j                  df      z  z   da e#j                  dm      z  z   z  dn^       eg d_deddd`dad` e#j                  db      z  dc e#j                  dd      z  z   z  dade e#j                  df      z  de e#j                  dg      z  z   z  dh^       eg dog dodddddd^      gZ eg ddddddd^       e e#j>                  g g g g      j
                  dddg dpg dpg dpg dp^       e e#j>                  g g g g      dddg g g g ^      gZeG G dq dr             ZeG G ds dt             ZeH G du dv             Zdw Z G dx dy      Z G dz d{      Z G d| d}      Zd~ Zd Zd Zej                  j#                  d e#j$                  d      df e#j$                  d      dfg      d        Zd Zej                  j#                  dg d      d        Zej                  j#                  de%j,                   e#j@                  d      dffe%j.                   e#j@                  d       e#j@                  d      ffg      d        ZddddZeGej                  j                  d%dWX      ej                  j                  d       d                      Zd Zd Zej                  j;                  d       G d d             Zej                  j;                  d       G d d             Z G d d      ZeGej                  j                  d%dWX      ej                  j                  d        G d d                           Zd ZeGej                  j                  d%dWX      ej                  j                  d       d                      ZeGej                  j                  d%dWX      ej                  j                  d       d                      Zd ZeGd        Z eTdd      ej                  j                  d       eGej                  j#                  d e#j$                  d      df e#j$                  d      dfg      d                             ZeGd        ZeGd        ZeGej                  j                  d%d      ej                  j                  d       d                      ZeGej                  j                  d%dWX      ej                  j                  d       d                      ZeGej                  j                  d%dWX      ej                  j                  d       d                      Zd Zej                  j\                  ej                  j                  d%dWX      ej                  j                  d       eGd                             Zej                  j                  d%d      ej                  j                  d       eGd                      Zej                  j                  d%dWX      ej                  j                  d       eGd                      Z G d d      ZeG G d d             Z G d de      Z G d de      Z G d de      Z G d d      ZeG G d d             Z G d d      Zd Zd ZdddddÜdĄZdń ZdƄ ZdǄ ZeG G dȄ dɫ             ZeG G dʄ d˫             ZeG G d̄ dͫ             Z G d΄ dϫ      ZdЄ Zdф Zd҄ Z G dӄ dԫ      Z G dՄ d֫      Z G dׄ dث      Z G dل dګ      Z G dۄ dܫ      Z eTd%ddgdݬޫ      ej                  j                  d       eG G d߄ d                           Z G d d      Z G d d      Z G d d      Z G d d      Z G d d      Z G d d      Z G d d      Ze#j                  j                  d      Ze֐j                  d      Ze֐j                  d      Zej                  j#                  de%j                  effe%j                  ee%j                  j                  ffe%j                  eeffe%j                  eeffg      d        Z G d d      Z G d d      ZeG G d d             ZeGej                  j                  d        eTdd       G d d                           ZeGd        Zej                  j                  dd      ej                  j                  d       eGd                      Zy(   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suppress_warningsassert_array_less)raises)arrayarangefloat32power)kolmogn)FuncData)binom)optimize   )check_named_results)_broadcast_concatenateSmallSampleWarningtoo_small_nd_omittoo_small_nd_not_omittoo_small_1d_omittoo_small_1d_not_omit)_permutation_distribution_t_chk_asarray_momentLinregressResult_xp_mean_xp_var_SimpleChi2)	AxisError)array_api_compatibleskip_xp_invalid_arg)array_namespacexp_copyis_numpyis_torchxp_sizeSCIPY_ARRAY_API)xp_assert_closexp_assert_equal)	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=)	      ?      ?      @      @      @      @      @      @      !@	jax.numpy"JAX doesn't allow item assignment.reasonarray_api_strictz_`array_api_strict.where` `fillvalue` doesn't accept Python floats. See data-apis/array-api#807.skip_xp_backendsc                       e Zd Z ej                  ej
                        j                  Zd Z e	dd      d        Z
d Zd Z e	dd	
      d        Zd Z e	dd	
      d        Zd Zy)TestTrimmedStatsc           	         |j                  t        j                               }t        j                  |dd      }t        ||j                  d             t        j                  |dd      }t        j                  |d       }t        ||       |j                  |j                  d      d      }t        j                  |d 	      }t        ||j                  |             t        j                  |d
	      }t        ||j                  |d
	             t        j                  |d	      }t        ||j                  |d	             t        j                  |dd       }t        ||j                  d             t        j                  |dd
      }g d}t        ||j                  |             t        j                  |ddd
      }g d}t        ||j                  |             t        |      }|j                  |ddd f<   t        j                  |dd
      }dddd|j                  |j                  |j                  g}t        ||j                  |             t        j                  |dd      }dddd|j                  |j                  |j                  |j                  |j                  g	}t        ||j                  |             t        j                  |ddd      }dddd|j                  |j                  |j                  |j                  |j                  g	}t        ||j                  |             y ) Nr1   r7   TT      @)FFlimits	inclusiverP        O@r8   r6   axisr   r   )r1   =   )rP   rV   g     ?@)r1      )         '@r8   
            TF)rP   rQ   rV   )      %@rZ   r8   r[   r\   r]   r^   )r   r^   r6   r>   r?   r@   r3   r[      rX   FT)asarrayXtoliststatstmeanr/   reshaper   meanr*   nan)	selfxpxyy1y2x_2dy_truex_2d_with_nans	            d/var/www/html/diagnosisapp-backend/venv/lib/python3.12/site-packages/scipy/stats/tests/test_stats.py
test_tmeanzTestTrimmedStats.test_tmeanW   sr   JJqxxz"KK6<02::c?+[[6^D[[4(Bzz"))C.&1KK4(2774=)KK1%2774a701KK1%2774a701KKW482::d+,KKW15.2::f-.KKWAN02::f-.!#b"#gKKgA>S#sBFFBFFBFF;2::f-.KKW15RRH2::f-.KKW"/a9r2r266266266266266J2::f-.    cupycupy/cupy#8391rE   c                    |j                  t        j                               }t        |      }t	        j
                  |dd      }t        ||j                  d             t	        j
                  |d       }t        ||j                  |d             |j                  |j                  d      d	      }t	        j
                  |d 
      }t        ||j                  |d             t	        j
                  |d
      }t        ||j                  dd             t	        j
                  |d
      }t        ||j                  dd             t	        j
                  |ddd      }t        |d   |j                  d             t	        j
                  |ddd      }t        |d   |j                  d             t        |d   |j                  |j                               y )NrL   rM   rO   g@rR   r   
correctionrS   rT   rU   r   r6   g     v@)r8   g㪪@r   r4   )rP   rV   rQ   r<   r   r5   g@)re   rf   rg   r)   rh   tvarr/   varrj   r   fullr0   rl   )rm   rn   ro   xp_testrp   rs   s         rv   	test_tvarzTestTrimmedStats.test_tvar   sm    JJqxxz"!!$JJq<@2::&89:JJq&7;;qQ;78zz"))C.&1JJt$'7;;t;:;JJt!$2774/0JJt!$277445 JJtFlK!bjjo. JJtFlK!bjj):;<!bjj01rx   c                 ,   |j                  t        j                               }t        |      }t	        j
                  |dd      }t        ||j                  d             t	        j
                  |d       }t        ||j                  |d             y )NrL   rM   gBĆ/H@rR   r   r|   )re   rf   rg   r)   rh   tstdr/   std)rm   rn   ro   r   rp   s        rv   	test_tstdzTestTrimmedStats.test_tstd   sm    JJqxxz"!!$JJq&,/2::&89:JJq&7;;qQ;78rx   c           	         |j                  d      }t        t        j                  |      |j	                  d             t        t        j                  |d      |j	                  d             t        t        j                  |dd      |j	                  d             |j                  |d      }t        t        j                  |dd      |j	                  ddg             t        t        j                  |d	      |j	                  g d
             t        t        j                  |d 	      |j	                  d             |j                  d      }|j                  |d<   t        t        j                  |      |j	                  |j                               |j                  d      j                  dd      }t        j                  |dd      }t        ||j	                  t        j                  dddg             y )Nr[   r   )
lowerlimitF)r   rQ   r   r4   r1   r1   rU   )r   r1   r3   r5   r7         $@r8      r3   )r   rV   r7   r]   )r   r0   rh   tminre   rj   rl   np)rm   rn   ro   ress       rv   	test_tminzTestTrimmedStats.test_tmin   s_   IIbM

1rzz!}5

13RZZ]C

1eDbjjQRmTJJq&!

1eD

Aq6*	,

11-rzz//JK

140"**Q-@IIcNvv!

1rzz"&&'9: IIbM!!!Q'jjqq1RZZAr(:;<rx   Tz4Only NumPy arrays support scalar input/`nan_policy`.np_onlyrF   c                 :   t        t        j                  d      d       t        j                  d      }t        j
                  |d<   t               5 }|j                  t        d       t        t        j                  |d      d       d}t        t        |	      5  t        j                  |d
       d d d        d}t        t        |	      5  t        j                  |d       d d d        d d d        y # 1 sw Y   ExY w# 1 sw Y   xY w# 1 sw Y   y xY w)Nr3   r   r8   invalid value*omit
nan_policy        The input contains nan valuesmatchraisenan_policy must be one of...foobar)r   rh   r   r   r   rl   r   recordRuntimeWarningassert_raises
ValueErrorrm   rn   ro   supmsgs        rv   test_tmin_scalar_and_nanpolicyz/TestTrimmedStats.test_tmin_scalar_and_nanpolicy        	UZZ]A&IIcNvv!  	3CJJ~'78A&92>1Cz5 2

1120Cz5 3

123	3 	32 23 3	3 	3=   ADC95DD(D9D	>DD	
DDc           
      x   |j                  d      }t        t        j                  |      |j	                  d             t        t        j                  |d      |j	                  d             t        t        j                  |dd      |j	                  d             |j                  |d      }t        t        j                  |dd      |j	                  ddg             t        t        j                  |d	
      |j	                  g d             t        t        j                  |d 
      |j	                  d             |j                  d      }|j                  |d<   t        t        j                  |      |j	                  |j                               t               5 }|j                  t        d       |j                  |j                  d      d      }t        j                  |dd	      }t        ||j	                  dddt        j                  g             d d d        y # 1 sw Y   y xY w)Nr[   r8   )
upperlimitF)r   rQ   r7   r   r6   r   rU   r   r2   r4   r6   r8   r   zAll-NaN slice encounteredr   )r3   r3   r\   )r   rV   r2   )r   r0   rh   tmaxre   rj   rl   r   filterr   r   )rm   rn   ro   r   r   s        rv   	test_tmaxzTestTrimmedStats.test_tmax   s   IIbM

1rzz!}5

13RZZ]C

1eDbjjQRmTJJq&!

1eD

Aq6*	,

11-rzz//JK

140"**Q-@IIcNvv!

1rzz"&&'9:   	ACJJ~'BC

299R=&1A**Q2A6CCQ2rvv,>!?@		A 	A 	As   *A=H00H9c                 :   t        t        j                  d      d       t        j                  d      }t        j
                  |d<   t               5 }|j                  t        d       t        t        j                  |d      d       d}t        t        |	      5  t        j                  |d
       d d d        d}t        t        |	      5  t        j                  |d       d d d        d d d        y # 1 sw Y   ExY w# 1 sw Y   xY w# 1 sw Y   y xY w)Nr3   r   r5   r   r   r         "@r   r   r   r   r   )r   rh   r   r   r   rl   r   r   r   r   r   r   s        rv   test_tax_scalar_and_nanpolicyz.TestTrimmedStats.test_tax_scalar_and_nanpolicy   r   r   c                 ~   |j                  t        j                               }t        |      }t	        j
                  |dd      }|j                  g d      }t        ||j                  |d      t        |      dz  z         t        t	        j
                  |dd	g
      t	        j
                  |d 
             y )N)r2   r7   rd   rO   )      @rN         @      @       @r   r|   r:   ra   r[   rR   )	re   rf   rg   r)   rh   tsemr/   r   r-   )rm   rn   ro   r   rp   y_refs         rv   	test_tsemzTestTrimmedStats.test_tsem   s    JJqxxz"!!$JJq=A

/07;;u;;genc>QQR

1b"X6

1T8RSrx   N)__name__
__module____qualname__r   finfofloat64	precisiondprecrw   rH   r   r   r   r   r   r   r    rx   rv   rJ   rJ   L   s     BHHRZZ **E,/\ f-/2/2:9=, dSU3U3A0 dSU3U3Trx   rJ   c                       e Zd ZdZd Zd Zd Zd Zd Zd Z	d Z
d	 Zd
 Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zy)TestPearsonrWilkinsonE   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                 b    t        j                  t        t              }|d   }t        |d       y Nr         ?)rh   pearsonrrf   r
   rm   rp   rs      rv   test_pXXzTestPearsonrWilkinson.test_pXX  s%    NN1QaDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r   rf   BIGr
   r   s      rv   
test_pXBIGz TestPearsonrWilkinson.test_pXBIG  s%    NN1S!aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r   rf   LITTLEr
   r   s      rv   test_pXLITTLEz#TestPearsonrWilkinson.test_pXLITTLE  s%    NN1V$aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r   rf   HUGEr
   r   s      rv   test_pXHUGEz!TestPearsonrWilkinson.test_pXHUGE   %    NN1T"aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r   rf   TINYr
   r   s      rv   test_pXTINYz!TestPearsonrWilkinson.test_pXTINY%  r   rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r   rf   ROUNDr
   r   s      rv   test_pXROUNDz"TestPearsonrWilkinson.test_pXROUND*  s%    NN1U#aDAc"rx   c                 b    t        j                  t        t              }|d   }t        |d       y r   )rh   r   r   r
   r   s      rv   test_pBIGBIGz"TestPearsonrWilkinson.test_pBIGBIG/  s%    NN3s#aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r   r   r   r
   r   s      rv   test_pBIGLITTLEz%TestPearsonrWilkinson.test_pBIGLITTLE4  s%    NN3v&aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r   r   r   r
   r   s      rv   test_pBIGHUGEz#TestPearsonrWilkinson.test_pBIGHUGE9  %    NN3t$aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r   r   r   r
   r   s      rv   test_pBIGTINYz#TestPearsonrWilkinson.test_pBIGTINY>  r   rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r   r   r   r
   r   s      rv   test_pBIGROUNDz$TestPearsonrWilkinson.test_pBIGROUNDC  s%    NN3u%aDAc"rx   c                 b    t        j                  t        t              }|d   }t        |d       y r   )rh   r   r   r
   r   s      rv   test_pLITTLELITTLEz(TestPearsonrWilkinson.test_pLITTLELITTLEH  s%    NN6&)aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r   r   r   r
   r   s      rv   test_pLITTLEHUGEz&TestPearsonrWilkinson.test_pLITTLEHUGEM  %    NN6$'aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r   r   r   r
   r   s      rv   test_pLITTLETINYz&TestPearsonrWilkinson.test_pLITTLETINYR  r   rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r   r   r   r
   r   s      rv   test_pLITTLEROUNDz'TestPearsonrWilkinson.test_pLITTLEROUNDW  s%    NN6%(aDAc"rx   c                 b    t        j                  t        t              }|d   }t        |d       y r   )rh   r   r   r
   r   s      rv   test_pHUGEHUGEz$TestPearsonrWilkinson.test_pHUGEHUGE\  %    NN4%aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r   r   r   r
   r   s      rv   test_pHUGETINYz$TestPearsonrWilkinson.test_pHUGETINYa  r   rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r   r   r   r
   r   s      rv   test_pHUGEROUNDz%TestPearsonrWilkinson.test_pHUGEROUNDf  %    NN4&aDAc"rx   c                 b    t        j                  t        t              }|d   }t        |d       y r   )rh   r   r   r
   r   s      rv   test_pTINYTINYz$TestPearsonrWilkinson.test_pTINYTINYk  r   rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r   r   r   r
   r   s      rv   test_pTINYROUNDz%TestPearsonrWilkinson.test_pTINYROUNDp  r   rx   c                 b    t        j                  t        t              }|d   }t        |d       y r   )rh   r   r   r
   r   s      rv   test_pROUNDROUNDz&TestPearsonrWilkinson.test_pROUNDROUNDu  s%    NN5'aDAc"rx   N)r   r   r   __doc__r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   rx   rv   r   r     sp    #
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#
#rx   r   T)cpu_onlyc                   $   e Zd Z ed      d        Z edd      d        Z edd      d        Z edd      d	        Z edd      d
        Z edd      e	j                  j                  dddg      d               Z edd      d        Z edd      d        Z edd      d        Z edd      d        Z edd      d        Z edd      d        Ze	j                  j                  d      e	j                  j                  dg d      d               Z edd      d        Z edd      d        Ze	j                  j                  d      d        Ze	j                  j/                  d      e	j                  j                  d      e	j                  j1                  d      e	j                  j                  dd      e	j                  j                  d d!      d"                                    Ze	j                  j                  d      e	j                  j                  dd      d#               Ze	j                  j                  d      e	j                  j                  d$d%d&g      d'               Ze	j                  j                  d      d(        Zd) Z edd      d*        Z edd      e	j                  j                  d$g d+      e	j                  j                  dg d      d,                      Zy-).TestPearsonrTr   c                     t        j                  t        t              }d}t        ||       t	        |j
                  |j                         y Ncorrelationpvalue)rh   r   rf   r   r   r  	statisticrm   r   
attributess      rv   test_pearsonr_result_attributesz,TestPearsonr.test_pearsonr_result_attributes  s3    nnQ".
C,S__cmm4rx   rC   )JAX arrays do not support item assignmentrE   c           
         |j                  d      }t        j                  ||      \  }}t        ||j	                  d      d       t        ||j	                  d      t        j                  dt        j                  d      z               y )N      @r   V瞯<atolr   r1   r   rh   r   r/   re   r   sqrtspacingrm   rn   ar   probs        rv   test_r_almost_exactly_pos1z'TestPearsonr.test_r_almost_exactly_pos1  se     IIcN..A&42::c?7 	bjjoBGGAbjjo<M4NOrx   c           
          |j                  d      }t        j                  ||       \  }}t        ||j	                  d      d       t        ||j	                  d      t        j                  dt        j                  d      z               y )Nr        r  r  r   r1   r   r  r  s        rv   test_r_almost_exactly_neg1z'TestPearsonr.test_r_almost_exactly_neg1  sh     IIcN..QB'42::d+%8 	bjjoBGGAbjjo<M4NOrx   c                     |j                  g d      }|j                  g d      }t        j                  ||      \  }}t        ||j                  d             t        ||j                  d             y )Nra   r   r   )r   r   r2   LXz?UUUUUU?)re   rh   r   r/   )rm   rn   r  br   r  s         rv   
test_basiczTestPearsonr.test_basic  sY    
 JJz"JJy!..A&42::h/0bjjo.rx   c                    d}t        j                  t        j                  |      5  |j	                  g d      }|j	                  g d      }t        j
                  ||      \  }}t        ||j	                  |j                               t        ||j	                  |j                               d d d        y # 1 sw Y   y xY w)NAn input array is constantr   MbX?r'  r'  rh|?v/?gsh|??pytestwarnsrh   ConstantInputWarningre   r   r/   rl   rm   rn   r   ro   rp   r   ps          rv   test_constant_inputz TestPearsonr.test_constant_input  s     +\\%44C@ 	3

01A

01A>>!Q'DAqArzz"&&12Arzz"&&12	3 	3 	3   B
B;;Cdtyper   r   c           
         t        t        |      }t        ||      }|j                  dddt        j                  d|      z   g|      }|j                  ddddt        j                  d|      z  z   g|      }d}t	        j
                  t        j                  |      5  t        j                  ||       d d d        y # 1 sw Y   y xY w)Nr1   r3  r2   r5   z/An input array is nearly constant; the computedr   )	getattrr   re   r  r,  r-  rh   NearConstantInputWarningr   )rm   rn   r3  npdtypero   rp   r   s          rv   test_near_constant_inputz%TestPearsonr.test_near_constant_input  s    
 "e$E"JJ1a"**Qg">>?uJMJJ1a!BJJq$@"@@AJO?\\%88D 	! NN1a 	! 	! 	!s   #CCc                 N   |j                  g d|j                        }|j                  g d|j                        }t        j                  ||      \  }}t	        ||j                  d|j                               t	        ||j                  d|j                               y )N)gy)r?gxd{s?gnp?g$9"o?ge =:k?r5  )goȟg`
,gzg2l?g>??'ge;E?g3R?re   r   rh   r   r/   rm   rn   ro   rp   r   r0  s         rv   test_very_small_input_valuesz)TestPearsonr.test_very_small_input_values  s     JJVZZ  )JJNZZ  )~~a#1 	2::&8

:KL2::&8

:KLrx   c                 V   d|j                  g d|j                        z  }d|j                  d|j                        z  }t        j                  ||      \  }}t        ||j                  d|j                               t        ||j                  d|j                               y )NgY)	kR)r   r   r   r   r   r   r   r5  r6   r   g͗~-?)re   r   r   rh   r   r/   r<  s         rv   test_very_large_input_valuesz)TestPearsonr.test_very_large_input_values  s     1DD1BJJ//~~a#1 	2::&8

:KL2::&:"**:MNrx   c                 N   |j                  g d|j                        }|j                  g d|j                        }t        j                  ||      \  }}t	        ||j                  d|j                               t	        ||j                  d|j                               y )N)g7	igNig_b4igZbir5  )gDig<'(½igmQiZbtig*D{?gݣ?r;  r<  s         rv   !test_extremely_large_input_valuesz.TestPearsonr.test_extremely_large_input_values  s     JJ9JLJJ;2::JN~~a#1 	2::&7rzz:JK2::&7rzz:JKrx   rD   c                 0   |j                  ddg      }|j                  ddg      }t        j                  ||      }|\  }}|j                  d      }t        ||       t        ||       |j	                         \  }}	t        ||        t        |	|       y )Nr          @r  rN   re   rh   r   r0   confidence_interval
rm   rn   ro   rp   r   r   r0  onelowhighs
             rv   test_length_two_pos1z!TestPearsonr.test_length_two_pos1  s     JJBx JJBx nnQ"1jjn33++-	TcT"c"rx   c                 2   |j                  ddg      }|j                  ddg      }t        j                  ||      }|\  }}|j                  d      }t        ||        t        ||       |j	                         \  }}	t        ||        t        |	|       y )NrD  r   r  rN   rE  rG  s
             rv   test_length_two_neg1z!TestPearsonr.test_length_two_neg1  s     JJBx JJBx nnQ"1jjnC4 3++-	TcT"c"rx   c                    d}t        j                  t        j                  |      5  |j	                  ddg      }|j	                  ddg      }t        j
                  ||      \  }}t        ||j	                  |j                               t        ||j	                  |j                               d d d        y # 1 sw Y   y xY w)Nr%  r   r'  r)  r*  r+  r/  s          rv   test_length_two_constant_inputz+TestPearsonr.test_length_two_constant_input  s    
 +\\%44C@ 	3

E5>*A

E5>*A>>!Q'DAqArzz"&&12Arzz"&&12	3 	3 	3r2  z$alternative, pval, rlow, rhigh, sign))	two-sided?gmgƎ?r   )lessK˅?ra   g?
?r   )greater.?gդζr   r   )rP  rQ  gfǎgl?ra   )rR  rU  r  gդζ?ra   )rT  rS  g?
r   ra   c                    g d}t        j                  g d      |z  }t        j                  |||      }t	        |j
                  d|z  d       t	        |j                  |d       |j                         }	t	        |	||fd       y )Nr   r1   r2   r3   )r   r   r:   r   alternativeg?r9   rtolư>)r   r   rh   r   r   r
  r	  rF  )
rm   rY  pvalrlowrhighsignro   rp   resultcis
             rv   test_basic_examplezTestPearsonr.test_basic_example)  st     HH^$t+1+>((*<T*ANt$7'')T5M5rx   c                 $   |j                  d      }| }t        j                  ||d      }t        j                  ||d      }t        |j                  |j                  d             t        |j                  |j                  d      d       y )	Nr   rT  rX  rR  r   r   g#B;r  )r   rh   r   r/   r	  re   )rm   rn   ro   rp   test_greater	test_lesss         rv   (test_negative_correlation_pvalue_gh17795z5TestPearsonr.test_negative_correlation_pvalue_gh17795:  sn     IIcNB~~a	BNN1aV<	++RZZ^<	(("**R.uErx   c                 <   |j                  g d      }|j                  g d      }t        j                  ||      }|\  }}|j                  d      }t        ||        t        |d|z  d       |j	                         \  }}	t        ||        t        |	|       y )Nr   rD  r  )rN   g      g      *r   r   Hz>r  )re   rh   r   r/   rF  r0   rG  s
             rv   #test_length3_r_exactly_negative_onez0TestPearsonr.test_length3_r_exactly_negative_oneD  s     JJ|$JJ'nnQ" 1jjoC4 1S5t,++-	TcT"c"rx   c                 6   g d}ddg}d}t        j                  t        |      5  t        j                  ||       d d d        dg}dg}d}t        j                  t        |      5  t        j                  ||       d d d        g d	}g d	}d
}t        j                  t        |      5  t        j                  ||       d d d        d}t        j                  t        |      5  t        j                  ddgddgd       d d d        t        j                  ddgddg      }t        j                  t        |      5  |j                  d       d d d        y # 1 sw Y   #xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   y xY w)Nr   r1   r2   r3   r4   z3`x` and `y` must have the same length along `axis`.r   r   r1   (`x` and `y` must have length at least 2.)             y              y             z+This function does not support complex dataz"`method` must be an instance of...r2   
asymptoticmethodexact)r,  r   r   rh   r   rF  )rm   ro   rp   messager   s        rv   test_input_validationz"TestPearsonr.test_input_validationT  sg   FG]]:W5 	!NN1a 	! CC<]]:W5 	!NN1a 	! ?]]:W5 	!NN1a 	! 7]]:W5 	@NNAq6Aq6,?	@ nnaVaV,]]:W5 	4##7#3	4 	4)	! 	!	! 	!	! 	!	@ 	@	4 	4s;   E(E+,E7(FFE(+E47F FFr[   z-Monte Carlo method needs > a few kB of memoryrY  rR  rT  rP  method_namepermutationmonte_carlomonte_carlo2c                 "   t         j                  j                  d      }|dk(  rdnd}|j                  |      }|j                  |      }t	        j
                  |      t	        j                  |j                  fdz        t	        j                  d	      d
}||   }t	        j                  ||||d      }	t	        j                  |||d      }
t        |	j                  |
j                  d       t        |	j                  |
j                  dd       |dk(  rqt	        j                  d	      }t	        j                  ||||d      }t        |j                  |	j                         t        |j                  |	j                         y y )Nl   o#[mry  r1   d   )r1     sizerngr1   rvsi  rx  ra   )rY  rr  rV   rY  rV   r  rZ  {Gz?MbP?r[  r  r{  )r   randomdefault_rngnormalrh   PermutationMethodMonteCarloMethodr   r   r
  r	  r   )rm   rw  rY  r  r  ro   rp   methodsrr  r   refres2s               rv   test_resampling_pvaluez#TestPearsonr.test_resampling_pvaluep  s<    ii##$56&-7xYJJDJ!JJDJ!"'"9"9c"B"'"8"8cjj]1_"M#(#9#9d#CE %nnQ{6PRSnnQ{Ds}}5A

CJJTE.(++5F>>!QKUWXD7cjj1	 )rx   c                 ,   t         j                  j                  d      }|j                  d      }|j                  d      }t	        j
                  |||d      }t         j                  j                  d      }t	        j                  |      }|j                  |      }|j                         }t        ||d	
       t         j                  j                  d      }t	        j                  |      }|j                  |      }	t        |	|       y )Nl   _Y F r}  r  ra   r  l   |#(AkPrandom_staterq  gQ?r  r  )	r   r  r  r  rh   r   BootstrapMethodrF  r   )
rm   rY  r  ro   rp   r   rr  res_ciref_cires_ci2s
             rv   test_bootstrap_cizTestPearsonr.test_bootstrap_ci  s     ii##$45JJHJ%JJHJ%nnQ{D ii##$67&&C8(((7((*V4 ii##$67&&3/)))8(rx   rV   r   r   c                    t         j                  j                  d      }d}|j                  d|z         \  }}t	        j
                  |||      }|j                         }|dk(  r|j                  |j                  }}t        |j                  d         D ]  }	t	        j
                  ||	   ||	         }
|
j                         }t        |j                  |	   |
j                         t        |j                  |	   |
j                         t        |j                  |	   |j                         t        |j                  |	   |j                          y )N   I.v# r8   r[   r1   r  rU   r   )r   r  r  r  rh   r   rF  Trangeshaper   r
  r	  rI  rJ  )rm   rV   rn   r  r  ro   rp   r   rb  ires_ici_is               rv   test_axis01zTestPearsonr.test_axis01  s    ii##K0zzte|z,1nnQ-$$&1933qAqwwqz" 	3ANN1Q41.E,,.DCMM!,eoo>CJJqM5<<8BFF1Itxx0BGGAJ		2	3rx   c                    t         j                  j                  d      }d}|j                  d|z         \  }}t	        j
                  ||d       }|j                         }t	        j
                  |j                         |j                               }|j                         }	t        |j                  |j                         t        |j                  |j                         t        ||	       y )Nr  r  r  r  rU   )r   r  r  r  rh   r   rF  ravelr   r
  r	  )
rm   rn   r  r  ro   rp   r   rb  r  ci_refs
             rv   test_axis_NonezTestPearsonr.test_axis_None  s    ii##K0zzte|z,1nnQ-$$&nnQWWY	2((*s}}5

CJJ/F#rx   c                    |j                  d      x}}d}t        j                  t        |      5  t	        j
                  ||d       d d d        d}t        j                  t        |      5  t	        j
                  ||j                  d      d       d d d        d	}t        j                  t        |      5  t	        j
                  |j                  d      |j                  d      d       d d d        d
}t        j                  t        |      5  t	        j
                  ||j                  d      d       d d d        d}t        |      s`|j                  d      }t        j                  t        |      5  t	        j
                  ||t	        j                                d d d        y y # 1 sw Y   nxY w# 1 sw Y   .xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   y xY w)N)r1   r4   z`axis` must be an integer.r   r;   rU   z2`x` and `y` must have the same length along `axis`r1   r   r   rn  z"`x` and `y` must be broadcastable.r2   r4   z:`method` must be `None` if arguments are not NumPy arrays.r[   rq  )	onesr,  r   r   rh   r   r+   r   r  )rm   rn   ro   rp   rt  s        rv   test_nd_input_validationz%TestPearsonr.test_nd_input_validation  s   A.]]:W5 	+NN1ac*	+ G]]:W5 	7NN1bggfoA6	7 =]]:W5 	ENN2776?BGGFO!D	E 7]]:W5 	7NN1bggfoA6	7 O|		"Az9 Gq!E,C,C,EFG G !	+ 	+	7 	7	E 	E	7 	7G Gs;   F6/(G<7G(G+G(6G GGG%(G1c                    t         j                  j                  d      }|j                  |j                  d            }|j                  |j                  d            }d}t	        j
                  t        j                  |      5  t        |      }d|d<   t        j                  ||d      }|j                         }|j                  |j                  |j                        }	t        |j                  d	   |	       t        |j                  d	   |	       t        |j                   d	   |	       t        |j"                  d	   |	       |j%                  |j'                  |j                  dd              rJ |j%                  |j'                  |j                  dd              rJ |j%                  |j'                  |j                   dd              rJ |j%                  |j'                  |j"                  dd              rJ 	 d d d        d
}t	        j
                  t        j(                  |      5  dd<   t        j                  ||d       d d d        |j                  ddgddgddgddgg      }|j                  ddgddgddgddgg      }
|j+                  d      }t        j                  ||
d      }|j                         }t-        |j                  |j                  g d             t-        |j                  |       t-        |j                   |        t-        |j"                  |       y # 1 sw Y   5xY w# 1 sw Y   xY w)Nl   U!Jr  r%  r   r   )r   .rU   r5  r   z!An input array is nearly constantg     ?r   r   r1   r   r3   ra   )r   ra   ra   r   )r   r  r  re   r,  r-  rh   r.  r*   r   rF  rl   r   r0   r
  r	  rI  rJ  anyisnanr7  r  r/   )rm   rn   r  x0y0rt  ro   r   rb  rl   rp   r  s               rv   test_nd_special_casesz"TestPearsonr.test_nd_special_cases  s    ii##N3ZZ

6*+ZZ

6*+.\\%44GD 	5AAfI..BQ/C((*B**RVV2::*6CCMM!,c2CJJqM3/BFF1Is+BGGAJ,vvbhhs}}QR'89:::vvbhhszz!"~6777vvbhhrvvabz2333vvbhhrwwqr{34444	5 6\\%88H 	*AdGNN1bq)	*
 JJAAAB89JJAAAB89wwqznnQ+$$&rzz/'BC

D)&&;	5 	5 	* 	*s   F L;7M;MM)r   r   Nc                    t         j                  d      \  }}t        j                  |j	                  |      |j	                  |      ||      }t        j                  ||||      }t        |j                  |j	                  |j                               t        |j                  |j	                  |j                               |j                         }|j                         }	t        |j                  |j	                  |	j                               t        |j                  |j	                  |	j                               y )N)r1   r[   r\   r  rV   rY  )r  r  rh   r   re   r/   r
  r	  rF  rI  rJ  )
rm   rn   rV   rY  ro   rp   r   r  r  r  s
             rv   test_array_apizTestPearsonr.test_array_api  s    
 zz{z+1nnRZZ]BJJqM"&KAnnQ+Frzz#--'@A

BJJszz$:;((*((*

BJJvzz$:;RZZ%<=rx   N) r   r   r   rH   r  r  r  r#  r1  r,  markparametrizer9  r=  r?  rB  rK  rM  rO  rc  rg  rk  ru  	fail_slowxfail_on_32bitr  r  r  r  r  r  r  r   rx   rv   r  r  {  s    d#5 $5 kHJPJP kHJPJP kHJ/J/ kH	3	3 kH [[Wy)&<=
! >
! kHMM kHOO kHJLJL k*NO# P# k*NO# P# k*NO
3 P
3& [[!!$!/[[CHI6I 06 kHJFJF kHJ#J# [[!!$!/4 046 [[2[[!!$!/[[ OP[[],LM[[]KM2M N Q 0 2( [[!!$!/[[],LM) N 0)& [[!!$!/[[VaV,3 - 03  [[!!$!/
$ 0
$G0 kHJ#'J#'J kHJ[[V\2[[],LM> N 3J>rx   r  c                      e Zd ZdZd Zd Zd Zd Zej                  j                  d        Zd Zd Zd	 Zd
 Zej                  j!                  dg d      d        Zd Zej                  j'                  d      ej                  j                         d               Zej                  j'                  d      ej                  j                         d               Zej                  j-                         d        Zy)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                    t         j                  } |ddgddgg      d   }t        |dd        |d	d
gddgg      d   }t        |dd        |d
dgdd
gg      d   }t        |dd        |ddgddgg      d   }t        |dd        |ddgddgg      d   }t        |dd        |ddgddgg      d   }t        |dd        |ddgddgg      d   }t        |dd        |ddgddgg      d   }t        |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       t        |d   d       y ) N8   N  0u  @  r   g؞Y?r3   significantr~  r1   r  r4   g,Ԛ?r6   r7   g2c?r5   r[   gY
A?      g_?r      gO^M?r   gօa?r2   r   ggE?g$I$I?)rh   fisher_exactr
   )rm   r  r   s      rv   r#  zTestFisherExact.test_basic  s   ))UENUEN;<Q?Ca8S!HtQi01!4CQ7QFQF+,Q/C:QFRH-.q1C:QGb"X./2C:QGb"X./2C:RGb!W-.q1C:QFQF+,Q/C;QFQF+,Q/C%QFQF+,Q/C.QFQF+,CFI1=CFH-rx   c                    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 ]V  \  }}t        j                  t        j                  |            }t         j
                  j                  |d	   |d	   dd       X y )Nr~  r1   r  r4   )gAn&	?g}K
T?r6   r7   )g	7?g?r   r[   )g!@j)A?r  r  )gU!a?gKY?r   r  )g7X?g~ltP?)gFu|?r  r   )r   gQN^?r3   gaa?r   r   gaa?r2   r\   T)decimalverbose)r   infrh   r  re   testingr   )rm   tablisttableres_rr   s        rv   test_precisezTestFisherExact.test_precise8  se    Ahq	"$TU!fq!fOP!fr2h!QR"gBx "RS"gBx "RS1gAw!QR1gAw!QR!fq!f(>?@!fq!fOP!fq!f(>?@!fq!fOP $ 	9LE5$$RZZ%67CJJ**3q658R37 + 9	9rx   c                    ddgddgg}t        j                  |      }t        |d   d       ddgdd	gg}t        j                  |      }t        |d   d
       ddgddgg}t        j                  |      }t        |d   d       y )Nr5   %   l      r   gmt?   r   f   g,:^   0   i  i\B  gNQ8rh   r  r   rm   ro   r   s      rv   test_gh4130zTestFisherExact.test_gh4130P  s     WsCj!  #A 12 !Wq#h  #A 56 "Xe}%  #A 56rx   c                 `    ddgddgg}t        j                  |      }t        |d   dd       y )NiiX iV iW r   r   gѧRr  r  r  s      rv   test_gh9231zTestFisherExact.test_gh9231f  s8     w'7!34  #A/rx   c                     g d}t        |g d      D ]1  \  }}t        j                  ddgd|gg      d   }t        ||d       3 t        j                  d	d
gddgg      d   }t        |dd       y )N)g?=gNuP=gs=)K   L   M   i(E  i  i)  r   r3   r  iPF  i8 r  i_ g^K=?)ziprh   r  r
   )rm   pvalsr]  numr   s        rv   test_large_numbersz"TestFisherExact.test_large_numbersm  s     1UL1 	:ID#$$uclT3K%@A!DCTq9	:   5%.5%.!AB1ECQ7rx   c                     d}t        j                  t        |      5  t        j                  t        j                  d             d d d        y # 1 sw Y   y xY w)Nz+The input `table` must have two dimensions.r   r5   )r,  r   r   rh   r  r   r   rm   rt  s     rv   test_raiseszTestFisherExact.test_raisesx  s@    ?]]:W5 	-ryy|,	- 	- 	-s   )AAc                     ddgddggddgddggddgddggddgddggf}|D ]@  }t        j                  |      \  }}t        |d       t        |t        j                         B y )Nr   r4   r[   r   )rh   r  r   r   rl   )rm   tablesr  	oddsratior]  s        rv   test_row_or_col_zeroz$TestFisherExact.test_row_or_col_zero~  s    q6Ar7#r7QF#q6Ar7#q6B7#%  	,E#007OIts#BFF+	,rx   c                    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 ]h  \  }}g }|j                  t        j                  |d      d          |j                  t        j                  |d       d          t	        ||dd!"       j y )#Nr1   r6   r7   r  i,     rX   r5   i     i   i  r   r2   r   r3   gI[?gq}!?r   g2\&gQp6g:O_?g a?皙?ffffff??333333?UUUUUU?r!  rR  rX  rT  rj  )r  r[  )r  appendrh   r  r   )rm   r  r  r  r]  r   s         rv   test_less_greaterz!TestFisherExact.test_less_greater  sW    VaV1X3x "X4y!3Z#s$ VaVVaVVaVVaVVaV  "#56)*()	"#J#J#J3K$K vu- 	:KE4CJJu))%VDQGHJJu))%YGJKCAD9		:rx   c                 @    t        j                  ddgddgg      \  }}y )Nr   r1   r8   i")rh   r  )rm   oddsr	  s      rv   test_gh3014zTestFisherExact.test_gh3014  s%     ))Aq6Ax=*ABfrx   rY  rP  rR  rT  c                     t        j                  ddgddgg      }t        j                  ||      }t	        |j
                  |j                  f|       y )Nr  r  r  r  rX  )r   r   rh   r  r   r
  r	  )rm   rY  r  r   s       rv   test_resultzTestFisherExact.test_result  sF    5%.5%.9:  K@cmmSZZ0#6rx   c                    t         j                  j                  d      }t        j                  ddgddgg      }d}t	        j
                  t        |      5  t        j                  |      }t        j                  ||d	       d d d        d
}t	        j
                  t        |      5  t        j                  |      }t        j                  ||       d d d        d}t	        j
                  t        |      5  t        j                  t        j                  j                        }t        j                  ||       d d d        d}t	        j
                  t        |      5  t        j                  t        j                  d             d d d        t         j                  j!                  t        j                  g dg      d       t         j                  j!                  t        j                  dgdgdgg      d       t         j                  j!                  t        j                  t        j                  d            d       y # 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   (xY w# 1 sw Y   xY w)N   9o8o r1   r6   r7   z4`alternative` must be the default \(None\) unless...r   r  rR  rr  rY  z6...not recognized; if provided, `method` must be an...rq  z3If the `method` argument of `fisher_exact` is an...r  z2`table` must have at least one row and one column.r   r   rm  r   r   r   r2   r1   r2   )r   r  r  re   r,  r   r   rh   r  r  r  r  normr  zerosr  r   )rm   r  r  rt  rr  s        rv   $test_input_validation_edge_cases_rxcz4TestFisherExact.test_input_validation_edge_cases_rxc  s   ii##$78

QFQF+,I]]:W5 	I,,5FuVH	I K]]:W5 	5**s3FuV4	5 H]]:W5 	5++

?FuV4	5 G]]:W5 	1rxx/0	1
 	

 2 2I; ?H


 2 2QC!qc? CVL


 2 2288F3C DfM-	I 	I
	5 	5
	5 	5
	1 	1s1   /I,.I?AI+*)I8II(+I58Jr[   c                    t         j                  j                  d      }t        j                  ddgddgg      }t	        j
                  |      }|j                  }t	        j                  |j                  d      |j                  d            j                  |      }t	        j                  |      }t	        j
                  ||	      }t        |j                  |d
       t        |j                  |       t	        j                  |      }t	        j
                  ||	      }t        |j                  |j                  d
       t        |j                  |       y )Nr  r1   r6   r7   r   rU   r   r  rq  g{Gzd?r  )r   r  r  re   rh   r  r	  random_tablesumpmfr  r   r   r
  r  )rm   r  r  r  
ref_pvalueref_statrr  r   s           rv   test_resampling_2x2z#TestFisherExact.test_resampling_2x2  s    ii##$78

QFQF+,  'ZZ
%%eiiQi&79JKOOPUV''C0  v6

JV<S]]H-((S1  v6

CJJV<S]]H-rx   c                    g dg dg dg dg dg}t        j                  |      }d}t         j                  j                  d      }t	        j
                  |      }t	        j                  ||	      }t        |j                  |d
       t	        j                  |d      }t	        j                  ||	      }t        |j                  |d
       y )N)r   r1   r1   r   r   r   r   )r1   r   r   r1   r2   r   r   )r   r   r   r   r1   r6   r2   )r   r   r1   r   r   r   r   )r   r   r   r   r   r   r   gk$?l   |Kr  rq  gMb@?r  i )r  n_resamples)
r   re   r  r  rh   r  r  r   r	  r  )rm   r  r  r  rr  r   s         rv   test_resampling_rxcz#TestFisherExact.test_resampling_rxc  s     '&&&&	(
 

5!%
ii##M2((S1  v6

JT:''CUC  v6

JT:rx   c           	         t         j                  j                  d      }t        j                  |      }t        dd      D ]  }t        dd      D ]  }t        dd      D ]|  }t        dd      D ]k  }t        j                  ||g||gg      }t        j                  |      }t        j                  ||      }	t        |	j                  |j                  d       m ~   y )	Nr  r  r   r2   r3   rq  +=r  )
r   r  r  rh   r  r  re   r  r   r	  )
rm   r  rr  r  r"  cdr  r  r   s
             rv   test_resampling_exact_2x2z)TestFisherExact.test_resampling_exact_2x2  s     ii##$78((S1q! 	LA1a[ Lq! LA"1a[ L "

QFQF+; <#007#00vF'

CJJUK	LLL	Lrx   N)r   r   r   r   r#  r  r  r  r,  r  slowr  r  r  r  r  r  r   r	  r  r  r  xslowr  r   rx   rv   r  r    s   .6907,0 [[8 8-, :DC
 [[],LM7 N7
N> [[2[[.  ." [[2[[;  ;: [[L Lrx   r  c                       e Zd ZdZd Zd Zd Zd Zd Zd Z	d Z
d	 Zd
 Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Z d Z!d  Z"d! Z#d" Z$d# Z%y$)%TestCorrSpearmanrr   c                     t        j                  dd      }t        t        j                  |      j                                y )Nr   rD  )rh   	spearmanrr   r   r  all)rm   rp   s     rv   test_scalarzTestCorrSpearmanr.test_scalar  s)    OOB#!"rx   c                     t        t        t        j                  g dddg       t        t        t        j                  g dd       y )Nr   r1   r   r7   r8   )r   r   rh   r  rm   s    rv   test_uneven_lengthsz%TestCorrSpearmanr.test_uneven_lengths#  s*    j%//9q!fEj%//9a@rx   c                 V   t         j                  j                  d       t         j                  j                  dd      }t         j                  j                  dd      }t	        j
                  ||      j                  j                  dk(  sJ t	        j
                  |j                  |j                  d      j                  j                  dk(  sJ t        t        t        j
                  ||d       t        t        t        j
                  |j                  |j                         y )N鄋 r3   r2   r1   r4   r4   r   rU   )r   r  seedrandnrh   r  r
  r  r  r	  r   r   rm   ro   rp   s      rv   test_uneven_2d_shapesz'TestCorrSpearmanr.test_uneven_2d_shapes'  s    
		vIIOOAq!IIOOAq!q!$..44>>>qssACCa077==GGGj%//1aa@j%//133<rx   c                    t         j                  j                  d       t         j                  j                  ddd      }t	        t
        t        j                  |       t	        t
        t        j                  ||       t	        t
        t        j                  |d d        t        t        j                  ||d       t        j                  |j                         |j                         d             y )Nr&  r3   r2   r1   rU   r   )
r   r  r(  r)  r   r   rh   r  r   flattenrm   ro   s     rv   test_ndim_too_highz$TestCorrSpearmanr.test_ndim_too_high2  s    
		vIIOOAq!$j%//15j%//1a8j%//1dDA148		QYY[qI	Krx   c                    t        j                  d      }t         j                  |d<   t        t	        j
                  ||      t         j                  t         j                  f       t        t	        j
                  ||d      d       t        t        t        j
                  ||d       t        t        t        j
                  ||d       y )Nr   r8   r   r   )r   r   r   r   )r   r   rl   r	   rh   r  r   r   r.  s     rv   test_nan_policyz!TestCorrSpearmanr.test_nan_policy<  s    IIcNvv!5??1a02662662BC5??1aFC%	'j%//1aGLj%//1aHMrx   c                 8   t         j                  j                  d       t         j                  j                  dd      }d}t         j                  |d d |f<   t        j
                  ||d      }t        j                  |d      \  }}t        j                  |      \  }}t        j
                  t        j
                  ||d      |d      }t        j
                  t        j
                  ||d      |d      }t        ||d	
       t        ||d	
       y )Nr4   r[   r5   r   rU   r   r   r   r  r  )	r   r  r(  randrl   deleterh   r  r   )rm   ro   krp   corxpxcorypys           rv   test_nan_policy_bug_12458z+TestCorrSpearmanr.test_nan_policy_bug_12458E  s    
		qIINN1b!&&!Q$IIa#??18b??1%byy43QQ?YYryyQQ/;d/BU+rx   c                    t         j                  j                  d       d}d}t         j                  j                  ||      }t         j                  |d<   t         j                  |d<   t        j                  |dd      \  }}t        |      D cg c]G  }t        |      D cg c]0  }t        j                  ||d d f   ||d d f         j                  2 c}I }}}t        ||       y c c}w c c}}w )Nr4   r[   r   r   )r2   ra   r   	propagaterV   r   )
r   r  r(  r)  rl   rh   r  r  r
  r   )	rm   mnro   corrr	  jr  r   s	            rv   test_nan_policy_bug_12411z+TestCorrSpearmanr.test_nan_policy_bug_12411R  s    
		qIIOOAq!&&$66%qq[Ifa" FK1XN!Q$1a41;;N " "c" O "s   C4%5C/C4/C4c                 b    t        j                  t        t              }|d   }t        |d       y r   )rh   r  rf   r
   r   s      rv   test_sXXzTestCorrSpearmanr.test_sXX^  s%    OOAa aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r  rf   r   r
   r   s      rv   
test_sXBIGzTestCorrSpearmanr.test_sXBIGc  s%    OOAc"aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r  rf   r   r
   r   s      rv   test_sXLITTLEzTestCorrSpearmanr.test_sXLITTLEh  s%    OOAf%aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r  rf   r   r
   r   s      rv   test_sXHUGEzTestCorrSpearmanr.test_sXHUGEm  %    OOAd#aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r  rf   r   r
   r   s      rv   test_sXTINYzTestCorrSpearmanr.test_sXTINYr  rL  rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r  rf   r   r
   r   s      rv   test_sXROUNDzTestCorrSpearmanr.test_sXROUNDw  s%    OOAe$aDAc"rx   c                 b    t        j                  t        t              }|d   }t        |d       y r   )rh   r  r   r
   r   s      rv   test_sBIGBIGzTestCorrSpearmanr.test_sBIGBIG|  s%    OOC$aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r  r   r   r
   r   s      rv   test_sBIGLITTLEz!TestCorrSpearmanr.test_sBIGLITTLE  s%    OOC'aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r  r   r   r
   r   s      rv   test_sBIGHUGEzTestCorrSpearmanr.test_sBIGHUGE  %    OOC%aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r  r   r   r
   r   s      rv   test_sBIGTINYzTestCorrSpearmanr.test_sBIGTINY  rW  rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r  r   r   r
   r   s      rv   test_sBIGROUNDz TestCorrSpearmanr.test_sBIGROUND  s%    OOC&aDAc"rx   c                 b    t        j                  t        t              }|d   }t        |d       y r   )rh   r  r   r
   r   s      rv   test_sLITTLELITTLEz$TestCorrSpearmanr.test_sLITTLELITTLE  s%    OOF6*aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r  r   r   r
   r   s      rv   test_sLITTLEHUGEz"TestCorrSpearmanr.test_sLITTLEHUGE  %    OOF4(aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r  r   r   r
   r   s      rv   test_sLITTLETINYz"TestCorrSpearmanr.test_sLITTLETINY  r`  rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r  r   r   r
   r   s      rv   test_sLITTLEROUNDz#TestCorrSpearmanr.test_sLITTLEROUND  s%    OOF5)aDAc"rx   c                 b    t        j                  t        t              }|d   }t        |d       y r   )rh   r  r   r
   r   s      rv   test_sHUGEHUGEz TestCorrSpearmanr.test_sHUGEHUGE  %    OOD&aDAc"rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r  r   r   r
   r   s      rv   test_sHUGETINYz TestCorrSpearmanr.test_sHUGETINY  rg  rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r  r   r   r
   r   s      rv   test_sHUGEROUNDz!TestCorrSpearmanr.test_sHUGEROUND  %    OOD'aDAc"rx   c                 b    t        j                  t        t              }|d   }t        |d       y r   )rh   r  r   r
   r   s      rv   test_sTINYTINYz TestCorrSpearmanr.test_sTINYTINY  rg  rx   c                 b    t        j                  t        t              }|d   }t	        |d       y r   )rh   r  r   r   r
   r   s      rv   test_sTINYROUNDz!TestCorrSpearmanr.test_sTINYROUND  rl  rx   c                 b    t        j                  t        t              }|d   }t        |d       y r   )rh   r  r   r
   r   s      rv   test_sROUNDROUNDz"TestCorrSpearmanr.test_sROUNDROUND  s%    OOE%(aDAc"rx   c                     t        j                  t        t              }d}t        ||       t	        |j
                  |j                         y r  )rh   r  rf   r   r   r  r
  r  s      rv    test_spearmanr_result_attributesz2TestCorrSpearmanr.test_spearmanr_result_attributes  s3    ooa#.
C,S__cmm4rx   c                     g d}g d}t        j                  ||      }t        j                  t        j                  ||g      j                        }t        ||       y )Nr   r1   r2   r3   r4   r5   )r   r1   r2   r3   r5   r4   )rh   r  r   re   r  r   rm   x1x2res1r  s        rv   test_1d_vs_2dzTestCorrSpearmanr.test_1d_vs_2d  sG    r2&rzz2r(3556d#rx   c                    dD ]  }dt         j                  ddddg}dddddt         j                  g}t        j                  |||      }t        j                  t        j                  ||g      j
                  |      }t        ||        y )	N)r=  r   r   r2   r3   r4   r5   r1   r   )r   rl   rh   r  re   r  r   )rm   r   rx  ry  rz  r  s         rv   test_1d_vs_2d_nansz$TestCorrSpearmanr.test_1d_vs_2d_nans  s|    / 	(JRVVQ1a(BQ1a(B??2rjAD??2::r2h#7#9#9jQDD$'	(rx   c                    t        j                  d      }| }t        j                  g d      }t        j                  |||g      j                  }t        j                  |      }t        j                  g dg dg dg      }t        j                  dt              }d|d	d
d	f<   d|d
d	d	f<   t        |j                  |       t        |j                  |       y )Nr5   )r   r   r1   r2   r4   r3   )r   ra   3+?)ra   r   3+)r  r  r   r2   r2   r5  g+Hs]s?r1   r   )r   r   r   re   r  rh   r  r  floatr   r
  r	  )rm   rx  ry  x3ro   actualexpected_correxpected_pvalues           rv   
test_3colszTestCorrSpearmanr.test_3cols  s    YYq\SXX()JJB|$&&#"5"6">"@ A ((67"/1Q3"/!Q((-87rx   c           
         t        j                  t         j                  ddddddgdt         j                  ddd	ddgg d
g      j                  }t        j                  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      j                  |       t        j                  |d      j                  }t	        |d   d   |d   d   |d   d   fdd       y )Nr  r   rN   ffffff@r   ffffff"@ffffff@g333333@皙@)r:   r   ffffff@ffffff@r   r  ffffff@r   r=  r   r   r   r   r1   )gacJC?g%ln?g_0nYt!޿r\  rZ  )r   r   rl   r  r   rh   r  r
  )rm   ro   rA  r   s       rv   test_gh_9103zTestCorrSpearmanr.test_gh_9103  s   HHrvvsCc3<BFFCc3<9; <<=A 	
 xx"&&"&&"&&1&&"&&"&&1&&"&&"-/ 0 	kBLL	 ooaF3==QCF1Is1vay9:	Grx   c                 R   d}t         j                  j                  d       t         j                  j                  |      }t         j                  j                  |      dkD  }|dkD  }t        j                  |      }t        j                  ||d      j                  }t         j                  ||<   t        j                  ||d      j                  }|j                  t         j                        }t        j                  ||d      j                  }g d}	t        |||g|	       y )Nr~  iH r  r:   r   r   )gonj?)Wn%?r  )r   r  r(  r3  r   rh   r  r
  rl   astypeint32r   )
rm   r@  ro   r?  r  r"  rz  r  res3expecteds
             rv   test_gh_8111zTestCorrSpearmanr.test_gh_8111  s    
		vIINN1IINN1# VHHQKq!7AA vv!q!7AA HHRXXq!7AA:tT*H5rx   N)&r   r   r   r   r   r$  r+  r/  r1  r:  rC  rE  rG  rI  rK  rN  rP  rR  rT  rV  rY  r[  r]  r_  rb  rd  rf  ri  rk  rn  rp  rr  rt  r{  r}  r  r  r  r   rx   rv   r  r    s    #A	=KN,
##
#
#
#
#
#
#
#
#
#
#
#
#
#
#
#
#
#
#
#
#
5$(8 G6rx   r  c                       e Zd ZdZd Zd Zd Zd Zd Zd Z	d Z
d	 Zd
 Zd Zd Zd Zd Zd Zd Zej(                  j+                  dd      d        Zy)TestCorrSpearmanr2z-Some further tests of the spearmanr function.c                     g d}g d}d}t        j                  ||      }t        |d   |d          t        |d   |d          y )Nr   r1   r2   r3   r4   r4   r5   r6   r7   r6   gh
C?gR?r   r   )rh   r  r
   rm   rx  ry  r  r   s        rv   test_spearmanr_vs_rz&TestCorrSpearmanr2.test_spearmanr_vs_r  sG     >oob"%CFHQK0CFHQK0rx   c                     t        t        j                  g g       t        j                  t        j                  f       y N)r   rh   r  r   rl   r#  s    rv   test_empty_arraysz$TestCorrSpearmanr2.test_empty_arrays!  s$    U__R,rvvrvv.>?rx   c                    t         j                  j                  d       t        j                  t         j                  j	                  ddd      t         j                  j	                  ddd      g      }ddgddgg}t        j
                  t         j                  j                  |      |      }d}t        j                  |d   |d         }t        |d   |d          t        |d   |d          y )	Nz  r     locscaler  r   r  )gCzYW?ge*=r   )r   r  r(  r   r  dotlinalgcholeskyrh   r  r
   )rm   ro   rA  r  r   s        rv   test_normal_drawsz$TestCorrSpearmanr2.test_normal_draws$  s    
		tHHbii&&1AC&@ii&&1AC&@B Cc
c
FF299%%d+Q/?ooadAaD)CFHQK0CFHQK0rx   c                 R    t        t        j                  g dg d      d   d       y )Nr   r   r1   r   r   )r
   rh   r  r#  s    rv   test_corr_1zTestCorrSpearmanr2.test_corr_10  s    EOOIyA!DcJrx   c                    t        j                  d      }t         j                  |d<   t        t	        j
                  ||      t         j                  t         j                  f       t        t	        j
                  ||d      d       t        t        t        j
                  ||d       t        t        t        j
                  ||d       y )Nr   r8   r   r   )r   r   r   r   )	r   r   rl   r	   rh   r  r   r   r   r.  s     rv   test_nan_policiesz$TestCorrSpearmanr2.test_nan_policies3  s    IIcNvv!5??1a02662662BC1@ 	"j%//1aGLj%//1aHMrx   c                     t        j                  d      }t        j                  d      }t        t        t        j
                  ||       y )Nr         4@)r   r   r   r   rh   r  r*  s      rv   test_unequal_lengthsz'TestCorrSpearmanr2.test_unequal_lengths<  s.    IIcNIIcNj%//1a8rx   c                     g d}dddt         j                  g}t        j                  ||d      }t        j                  |d d |d d d      }t	        ||       y )NrW  r7   r6   r5   r   r   r2   )r   rl   rh   r  r   rw  s        rv   test_omit_paired_valuez)TestCorrSpearmanr2.test_omit_paired_valueA  sS    Arvvr2&9r"1vr"1v&AT4 rx   c                 d   t        t        d            }t        t        d            }|d   |d   c|d<   |d<   |d   |d   c|d<   |d<   |d   |d   c|d<   |d<   |j                  t        j                         |j                  d       t        t        j                  ||d	
      d   d       y )N  r8   r   i  r[   i  i  r  r   r   gV-?)listr  r  r   rl   r   rh   r  r*  s      rv   #test_gh_issue_6061_windows_overflowz6TestCorrSpearmanr2.test_gh_issue_6061_windows_overflowH  s    ttqT1Q4
!ad#""qvD'1S6#$ 	
	EOOAqVDQGOrx   c                 b   d}t        j                  t        j                  |      5  t        j                  g dg d      \  }}t        |t        j                         t        |t        j                         t        j                  g dg d      \  }}t        |t        j                         t        |t        j                         t        j                  g dg d      \  }}t        |t        j                         t        |t        j                         d d d        y # 1 sw Y   y xY w)Nr%  r   r1   r1   r1   r1   r   r1   )r,  r-  rh   r.  r  r   r   rl   )rm   warn_msgr   r0  s       rv   	test_tie0zTestCorrSpearmanr2.test_tie0U  s    /\\%44HE 		$??9i8DAqBFF#BFF#??9i8DAqBFF#BFF#??9i8DAqBFF#BFF#		$ 		$ 		$s   C4D%%D.c                     g d}g d}g d}g d}t        j                  ||      }t        j                  ||      }t        ||       y )Nr   rD  r  r   )r   rD  rD  r  )r   r<   r<   r   )rh   r  r   r   )rm   ro   rp   xryrsrprs          rv   	test_tie1zTestCorrSpearmanr2.test_tie1c  sB      !! __Q"^^B#B#rx   c                     g d}g d}ddddt         j                  g}ddddt         j                  g}t        j                  ||      }t        j                  ||d	      }t	        ||       y )
N)r   r1   r<   r1   )r   r2   r<   r3   r   r1   r<   r2   r3   r   r   )r   rl   rh   r  r   )rm   rx  rq   ry  rr   sr1sr2s          rv   	test_tie2zTestCorrSpearmanr2.test_tie2p  sd     CBFF#CBFF# oob"%oob"8C%rx   c                    t        j                  g dg dg      }t        j                  g dg dg      }t        j                  g dg dg      }d}t        j                  t        j
                  |      5  t	        j                  |d      \  }}t        |t         j                         t        |t         j                         t	        j                  |d      \  }}t        |t         j                         t        |t         j                         t	        j                  |d      \  }}t        |t         j                         t        |t         j                         d d d        y # 1 sw Y   y xY w)Nr   r   r   r   rW  r%  r   r   rU   	r   r   r,  r-  rh   r.  r  r   rl   )rm   z1z2z3r  r   r0  s          rv   test_ties_axis_1z#TestCorrSpearmanr2.test_ties_axis_1~  s    XX|\23XX|\23XX|\23/\\%44HE 		$??2A.DAqBFF#BFF#??2A.DAqBFF#BFF#??2A.DAqBFF#BFF#		$ 		$ 		$s   9C+E--E6c                 r   t        j                  g d      }t        j                  g d      }d}t        j                  t        j
                  |      5  t	        j                  ||      \  }}t        |t         j                         t        |t         j                         d d d        y # 1 sw Y   y xY w)N)
r   r   r   r   r   r   r   r   r   r   
r   gN}	?r   r   g	/`?gY%uX-H?gC1tq1?r   r   g*I?r%  r   r  )rm   ro   rp   r  r   r0  s         rv   test_gh_11111z TestCorrSpearmanr2.test_gh_11111  s    HHGHHH - . 0\\%44HE 	$??1a(DAqBFF#BFF#	$ 	$ 	$s   AB--B6c                     t        j                  g d      }t        j                  g d      }t        t        t        j
                  ||d       y )N)
r   r   rD  r   r   r   r   r   r   r   r  r1   rU   )r   r   r   r   rh   r  r*  s      rv   test_index_errorz#TestCorrSpearmanr2.test_index_error  s:    HHGHHH - . 	j%//1aa@rx   c                    g d}g d}d}t        j                  ||d      }t        |d   |d          t        |d   d|d   dz  z
         t        j                  ||d	      }t        |d   |d          t        |d   |d   dz         t        j                  t
        d
      5  t        j                  ||d       d d d        y # 1 sw Y   y xY w)Nr  r  r  rR  rX  r   r   r1   rT  `alternative` must be 'less'...r   	ekki-ekki)rh   r  r
   r,  r   r   r  s        rv   test_alternativez#TestCorrSpearmanr2.test_alternative  s      ? oob"&9CFHQK0CFA!q$9: oob")<CFHQK0CFHQK!O4]]:-NO 	=OOB<	= 	= 	=s   'C		CrY  r  c                    g d}g d}|t         j                  gz   }|t         j                  gz   }t        t        j                  ||      t         j                  t         j                  f       t        j                  ||d|      }t        j                  |||      }t        ||       d}t        j                  t        |      5  t        j                  ||d|       d d d        d	}t        j                  t        |      5  t        j                  ||d
|       d d d        y # 1 sw Y   IxY w# 1 sw Y   y xY w)Nr  r  r   r   rY  rX  r   r   r   r   r  )	r   rl   r	   rh   r  r   r,  r   r   )	rm   rY  rx  ry  x1nanx2nan
res_actualres_expectedrt  s	            rv   test_alternative_nan_policyz.TestCorrSpearmanr2.test_alternative_nan_policy  s    bffXbffX 	5??5%8266266:JK __UEf1<>
r2;G
L1 2]]:W5 	5OOE5W(35	5
 1]]:W5 	5OOE5[(35	5 	5	5 	5	5 	5s   	D+D7+D47E N)r   r   r   r   r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r,  r  r  r  r   rx   rv   r  r    s|    71@
1KN9
!P$$&$ 	$A=. [[],LM5 N5rx   r  c                  l   d} g d}g d}d}| D ]>  }t        j                  |||      }t        |d   |d          t        |d   |d          @ g d}g d	}d}| D ]>  }t        j                  |||      }t        |d   |d          t        |d   |d          @ g d
}g d}d}| D ]>  }t        j                  |||      }t        |d   |d          t        |d   |d          @ g d}g d}d}| D ]>  }t        j                  |||      }t        |d   |d          t        |d   |d          @ t        j                  d      }t        j                  d      }d}| D ]>  }t        j                  |||      }t        |d   |d          t        |d   |d          @ |d   }|d   |d<   ||d<   d}| D ]>  }t        j                  |||      }t        |d   |d          t        |d   |d          @ |d   }|d   |d<   ||d<   d}| D ]>  }t        j                  |||      }t        |d   |d          t        |d   |d          @ t        j                  d      }t        j                  d      d d d   }d}| D ]>  }t        j                  |||      }t        |d   |d          t        |d   |d          @ |d   }|d   |d<   ||d<   d}| D ]>  }t        j                  |||      }t        |d   |d          t        |d   |d          @ |d   }|d   |d<   ||d<   d}| D ]>  }t        j                  |||      }t        |d   |d          t        |d   |d          @ t        g d      }t        g d      }d}t        t        j                  ||d      d   |       d}t        t        j                  ||d       d   |       |d   |d<   t        t        t         j                  ||d!"       t        t        t         j                  ||d#"       t        t        t         j                  ||d$       g d%}g d&}d'}t        j                  ||      }t        |d   |d          t        |d   |d          d(}	| D ]F  }t        j                  |||      }t        ||	       t        |j                  |j                         H | D ]  }t        t        j                  g d)g d)|      t        j                  t        j                  f       t        t        j                  g d*g d)|      t        j                  t        j                  f       t        t        j                  g d)g d*|      t        j                  t        j                  f        t        t        j                  g g       t        j                  t        j                  f       t        j                  j                  d+       t        j
                  t        j                  j                  ddd,-      t        j                  j                  ddd,-      g      }d.d/gd/d.gg}
t        j                   t        j"                  j%                  |
      |      }d0}t        j                  |d   |d         }t        |d   |d          t        |d   |d          t        t        j                  g d1g d1d      d   d.       t        t        j                  g d1g d1d       d   d2       t        j                  d3      }t        j                  |d4<   t'        t        j                  ||      t        j                  t        j                  f       t)        t        j                  ||d56      d7d89       t)        t        j                  ||d5d:;      d<d89       t        t        t         j                  ||d=6       t        t        t         j                  ||d>6       t        j                  d3      }t        j                  d?      }t        t        t         j                  ||       t        j                  g g       \  }}t        t        j                  |       t        t        j                  |       t        j                  dgdg      \  }}t        t        j                  |       t        t        j                  |       t        j                  d@t*        A      }t        j,                  j/                  |dB      }t        j                  d@t*        A      }t        j0                  |dCd  |d dC f      }t3        t        j4                  t        j                  ||      d                y )DN)r"  r  )r4   r1   r   r2   r5   r3   r6   r7   )r4   r1   r5   r2   r   r7   r6   r3   r  )variantr   r   )	r   r4   r1   r   r2   r5   r3   r6   r7   )	r4   r1   r   r5   r2   r   r7   r6   r3   )r4   r1   r   r2   r5   r3   r6   )r4   r1   r5   r2   r   r6   r3   )gJ$I¿gmK?)r1   r   r2   r5   r3   r6   r7   )r1   r5   r2   r   r7   r6   r3   )gJkaa?r   r[   )r   紞xO~>r1   )g?>?aV>r4   r5   )g}'}'?o&5>ra   )r  r  )g?>r  )g}'}'r  )
r   r1   r1   r3   r3   r5   r5   r7   r8   r8   )
r   r1   r3   r3   r3   r3   r7   r7   r7   r[   gok|?r"  gffffff?r  rs  rq  bananarmsr]   r1   r   r]   r1   r   r3   r6   r   r   )g}+޿g`=i?r  r  r  r  r  r  r   r  )g\zf?g^n)=r  g#q?r   r8   r   r   )r   g/>r\  rZ  rp  )r   rr  )r   g&?r   r   r  r  r5  i  r  )rh   
kendalltaur
   r   r   r   r   r   r   r   r  r
  rl   r  r(  r  r  r  r  r	   r   r  mamasked_greaterconcatenater   isfinite)variantsro   rp   r  tauxr   r"  rx  ry  r  rA  taup_values                rv   test_kendalltaur    s    H 	!A A H 1q!T2CFHQK0CFHQK01 	$A#A H 1q!T2CFHQK0CFHQK01 	AA /H 1q!T2CFHQK0CFHQK01 	AA %H 1q!T2CFHQK0CFHQK01 			"A
		"A )H 1q!T2CFHQK0CFHQK01 	
!AQ4AaDAaD 8H 1q!T2CFHQK0CFHQK01 	
!AQ4AaDAaD 8H 1q!T2CFHQK0CFHQK01 			"A
		"ddA *H 1q!T2CFHQK0CFHQK01 	
!AQ4AaDAaD 9H 1q!T2CFHQK0CFHQK01 	
!AQ4AaDAaD 9H 1q!T2CFHQK0CFHQK01 	,-A-.AH((As;A>IH((As;A>I Q4AaD*e..1WE *e..1XF *e..1eD
 
B	B:H


2r
"CA,A, +J 5r2t4C,S__cmm45  'U%%iDIffbff%	'U%%iDIffbff%	'U%%iDIffbff%	'' !!"b)BFFBFF+;< IINN4
"))""q"<))""q"<> 	?A#J#JD
ryy!!$'+A<H


1Q41
&CA,A, ((IsKAN((IsKAN"$ 			#A66AaDu''1-/?@E$$Qf='e5E$$Qf\R1?*e..1I*e..1J 			#A
		#A*e..15 ##B+LC!##QC!-LC! 			$e$A
Q%A
		$e$A
$%!ET(+,ABKK((1-a012rx   c                     t         j                  j                  d       t        dd      D ]  } g }t        |       D ]  }||g|z  z  } t	        |      }t         j                  j                  |       t         j                  j                  |       t        j                  ||      }t        j                  ||      }t        |d   |d          t        |d   |d           y )N*   r1   r[   r   r   )
r   r  r(  r  r  shufflemstats_basicr  rh   r
   )sr  r  r"  r  r  s         rv   test_kendalltau_vs_mstats_basicr    s    IINN21R[ 4q 	A!QJA	G
		!
		!**1a0!!!Q'F1Ix{3F1Ix{34rx   c                      g d} t         j                  dddg}t        j                  | |d      }t        j                  | dd  |dd        }t	        |j
                  |j
                  d       y )	Nr  333333@333333@r   r   r   r  r  )r   rl   rh   r  r   r
  )ro   rp   r1r2s       rv   test_kendalltau_nan_2nd_argr    s_    A	c3A			!Q6	2B			!AB%12	'BBLL",,U;rx   c                     dd l } | j                  d       g d}d}| j                  ||      }| j                  ||      }t        j                  ||      }t        |j                  d       t        |j                  dd	       y )
Nr   i_ r   r1   r2   r3   r4   r5   r6   i@ r5  g*8_2\S?gd`TR?gMb`?r  )r  r(  choicesrh   r  r   r
  r	  )r  classes	n_samplesro   rp   r   s         rv    test_kendalltau_gh18139_overflowr    st     
KK#GIw),Aw),A


1a
 CCMM#89 CJJT2rx   c            	       h   e Zd Z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 Z e eeedgdz               e ee ee      dgdz              z   Zej,                  j/                  de      d        Z e eeedgdz               e ee ee      dgdz              z   Zej,                  j/                  de      d        Z e eee	dgdz               e ee ee	      dgdz              z   Zej,                  j/                  de      d        Z e eee
dgdz               e ee ee
      dgdz              z   Zej,                  j/                  de      d        Z e eeedgdz               e ee ee      dgdz              z   Zej,                  j/                  de      d        Z  e eeedgdz               e ee ee      dgdz              z   Z!ej,                  j/                  de!      d        Z" e eeedgdz               e ee ee      dgdz              z   Z#ej,                  j/                  de#      d        Z$ e eeedgdz               e ee ee      dgdz              z   Z%ej,                  j/                  de%      d        Z& e eeedgdz               e ee ee      dgdz              z   Z'ej,                  j/                  de'      d        Z( e eedgdz               e eedgdz              z   Z)ej,                  j/                  de)      d        Z*ej,                  j/                  dd      ej,                  j/                  dd      d               Z+y )!TestKendallTauAlternativec                 P   g d}g d}t        j                  ||d      }|d   dkD  sJ t        j                  ||d      }t        |d   |d          t        |d   d|d   dz  z
         t        j                  ||d	      }t        |d   |d          t        |d   |d   dz         |j	                          t        j                  ||d      }|d   dk  sJ t        j                  ||d	      }t        |d   |d          t        |d   d|d   dz  z
         t        j                  ||d      }t        |d   |d          t        |d   |d   dz         t        j                  t        d
      5  t        j                  ||d       d d d        y # 1 sw Y   y xY w)Nr  r  rP  rX  r   rR  r   r1   rT  r  r   r  )rh   r  r   r   reverser,  r   r   r  s        rv   &test_kendalltau_alternative_asymptoticz@TestKendallTauAlternative.test_kendalltau_alternative_asymptotic  s     ##BD{Q r26:SVXa[)AXa[1_ 56 r29=SVXa[)Aa0 	

 ##BD{Q r29=SVXa[)AXa[1_ 56 r26:SVXa[)Aa0]]:-NO 	>R=	> 	> 	>s   :FF%)rR  rP  rT  )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                     |rt        j                  |       }|dz  }t        j                  ||d|      }||f}t	        ||       y )Nra   rs  r  )r   re   rh   r  r   )	rm   ro   rp   rY  revstat_expected
p_expectedr   r  s	            rv   
exact_testz$TestKendallTauAlternative.exact_test%  sH    AARMq!GM$j0\*rx   Fr2   Tzalternative, p_expected, revc                 \    dgdg}}t         j                  }| j                  ||||||       y )Nr   r1   )r   rl   r  rm   rY  r  r  ro   rp   r  s          rv   test_against_R_n1z+TestKendallTauAlternative.test_against_R_n10  s.    sQC11k3zJrx   c                 D    ddgddg}}d}| j                  ||||||       y )Nr   r1   r2   r3   g?r  r  s          rv   test_against_R_n2z+TestKendallTauAlternative.test_against_R_n29  s.    1v1v1*1k3zJrx   c                 D    g dg d}}d}| j                  ||||||       y )Nrm  r   r  r  s          rv   test_against_R_c0z+TestKendallTauAlternative.test_against_R_c0B  s&    )11k3zJrx   c                 D    g dg d}}d}| j                  ||||||       y )NrW  )r   r1   r3   r2   gVUUUUU?r  r  s          rv   test_against_R_c1z+TestKendallTauAlternative.test_against_R_c1K  s&    \1*1k3zJrx   c                 D    g dg d}}d}| j                  ||||||       y )Nr  )r   r4   r3   r1   r2   r   r  r  s          rv   test_against_R_no_correlationz7TestKendallTauAlternative.test_against_R_no_correlationU  s&    11k3zJrx   c                 D    g dg d}}d}| j                  ||||||       y )Nr   r1   r2   r3   r4   r5   r6   r7   )r7   r5   r   r2   r1   r4   r3   r6   r   r  r  s          rv   test_against_R_no_correlationbz8TestKendallTauAlternative.test_against_R_no_correlationb_  s'    ')A11k3zJrx   c                 D    g d}g d}d}| j                  ||||||       y )N)	g333333F@g33333F@g33333D@gfffffJ@gYF@gF@gYI@gF@gN@)	g@@r<   rN   @r   g@ffffff@r  gqq?r  r  s          rv   test_against_R_lt_171z/TestKendallTauAlternative.test_against_R_lt_171h  s*     C9*1k3zJrx   c                     t         j                  j                  d       t         j                  j                  d      }t         j                  j                  d      }d}| j	                  ||||||       y )Nr   r~  gUm*,r   r  r(  r3  r  r  s          rv   test_against_R_lt_171bz0TestKendallTauAlternative.test_against_R_lt_171bu  sQ    
		qIINN3IINN3,1k3zJrx   c                     t         j                  j                  d       t         j                  j                  d      }t         j                  j                  d      }d}| j	                  ||||||       y )Nr      gH4?r,  r  s          rv   test_against_R_lt_171cz0TestKendallTauAlternative.test_against_R_lt_171c  sQ    
		qIINN3IINN3*1k3zJrx   zalternative, revc                 n   t         j                  j                  d       t         j                  j                  d      }t         j                  j                  d      }t	        j
                  ||d|      }t	        j
                  ||d|      }t        |d   |d          t        |d   |d   d       y )	Nr   i  rs  r  rp  r   r  rZ  )r   r  r(  r3  rh   r  r   r   )rm   rY  r  ro   rp   res0rz  s          rv   test_gt_171z%TestKendallTauAlternative.test_gt_171  s    
		qIINN3IINN31W,791\,79T!Wd1g&Qat4rx   rr  )rs  rp  rY  r  c                    g d}g d}|t         j                  gz   }|t         j                  gz   }t        j                  ||||      }t         j                  t         j                  f}t	        ||       t        j                  ||d||      }t        j                  ||||      }t	        ||       d}	t        j                  t        |	      5  t        j                  ||d||       d d d        d	}	t        j                  t        |	      5  t        j                  ||d
||       d d d        y # 1 sw Y   JxY w# 1 sw Y   y xY w)Nr  r4   r5   r6   r7   r8   r  r   )r   rr  rY  r   r   r   r   r  )r   rl   rh   r  r   r,  r   r   )
rm   rr  rY  rx  ry  r  r  r  r  rt  s
             rv   r1  z)TestKendallTauAlternative.test_nan_policy  s<    bffXbffX %%eU-3N
'
L1 %%eUv-3N
''Bv4?A
L1 2]]:W5 	EUEg$*E	E
 1]]:W5 	EUEk$*E	E 	E	E 	E	E 	Es   D6E6D?EN),r   r   r   r  alternativesr   rl   p_n1p_n2p_c0p_c1p_no_correlationp_no_correlationb
p_n_lt_171p_n_lt_171bp_n_lt_171cr  r  r  reversed	case_R_n1r,  r  r  r  	case_R_n2r  	case_R_c0r  	case_R_c1r   case_R_no_corrr"  case_no_cor_br%  case_R_lt_171r*  case_R_lt_171br-  case_R_lt_171cr0  case_gt_171r3  r1  r   rx   rv   r
  r
    s   '>h 4LFFBFFBFF#DD0D>D<=DJCKGK+ c,ugai89L(4.4&(CDEI [[;YGK HK
 c,ugai89L(4.4&(CDEI [[;YGK HK
 c,ugai89L(4.4&(CDEI [[;YGK HK
 c,ugai89L(4.4&(CDEI [[;YGK HK
 3|-=wqyIJSx8H/I"&+ ,,N [[;^LK MK
 #l,=wqyIJCh7H.I!%q* ++M [[;]KK LK
 #lJ	BCChz.BTF1HMNOM [[;]KK LK 3|[5'!)DESx/D"&+ ,,N [[;^LK MK 3|[5'!)DESx/D"&+ ,,N [[;^LK MK L5'!)45L4&(345K [[/=	5 >	5 [[X'>?[[],LME N @Erx   r
  c                     g d} g d}t        j                  | |      \  }}t        |d       t        t        j
                  |       t        j                  | |d      \  }}t        |d       t        t        j
                  |       t        j                  | |d       \  }}t        |d	       t        t        j
                  |       t        j                  | |      }d
}t        ||       t        |j                  |j                         t        j                  | |d       \  }}t        |d       t        t        j
                  |       t        j                  || d       \  }}t        |d       t        t        j
                  |       t        j                  | |d d      \  }}t        |d       t        t        j
                  |       t        j                  || d d      \  }}t        |d       t        t        j
                  |       t        j                  | |d      \  }}t        |d       t        t        j
                  |       t        j                  | |dd       \  }}t        |d	       t        t        j
                  |       t        j                  || dd       \  }}t        |d	       t        t        j
                  |       t        j                  t	        j                  | t        j                        |      \  }}t        |d       t        j                  t	        j                  | t        j                        |      \  }}t        |d       t        j                  t	        j                  | t        j                        t	        j                  |t        j                              \  }}t        |d       t        j                  g g       \  }}t        t        j
                  |       t        t        j
                  |       t        j                  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        j                  | |      \  }}t        |d       ddt        j
                  ddg} t        j                  | |      \  }}t        |d       g d} dd d!dt        j
                  g}t        j                  | |      \  }}t        |d       d"d#t        j
                  d"d#g} t        j                  | |      \  }}t        |d       g d$} g d%}t        j                  | |      \  }}t        |d&       d"d#t        j
                  d"t        j
                  g} t        j                  | |      \  }}t        |d&       t        j
                  d d!t        j
                  t        j
                  g}t        j                  | |      \  }}t        |d&       y )'Nr  r  gs$F)additivegROoc                      yNr   r   ro   s    rv   <lambda>z"test_weightedtau.<locals>.<lambda>      rx   )weigherr  r  )rankgڿgn)rS  rL  g @ڿg[đ(gIکnTc                      yrN  r   rO  s    rv   rP  z"test_weightedtau.<locals>.<lambda>  rQ  rx   )rS  rR  c                      yrN  r   rO  s    rv   rP  z"test_weightedtau.<locals>.<lambda>  rQ  rx   r5  r   r   r   r   r1   r3   r6   r]   r1   )      (@rD  r   rW  rD  r   r   r   rW  rD  )rW  rD  r   rW  r   )r   r   r   r   r   gt34+)rh   weightedtaur
   r   r   rl   r   r  r
  re   r   int16r   r   )ro   rp   r  r  r   r  s         rv   test_weightedtaurZ    s   AA$$Q*LC12!$$QE:LC12!$$Q;?LC12! 

Aq
!C*JZ(#--0 $$Q5LC01!$$Q5LC01!$$QuELC12!$$QuELC12!$$Q6LC12!$$QkJLC12!$$QkJLC12!$$RZZ%DaHLC12$$RZZ%BAFLC12$$RZZ%D%'ZZ%DFLC12$$R,LC!$$aS1#.LC!*e//!QC*e//!Q!Q!EA	
Aq!RVVA$$Q*LC12	QAA$$Q*LC12#A	c3RVV$A$$Q*LC12	sBFFD#&A$$Q*LC12#A!A$$Q*LC01	sBFFD"&&)A$$Q*LC01	c266266*A$$Q*LC01rx   c                      t        j                  dgdg       t        j                  dgdg       t        j                  t        j                  gdg       y )Nr   r   4   )rh   rX  r   rl   r   rx   rv   test_segfault_issue_9710r]    sD     
qcC5!	qcC5!	rvvh%rx   c                  *   d} t        j                  | dz         j                  t              }t        j                  | dz         j                  t              }t         j                  |d<   t        j                  ||dd      \  }}t        |d       y )N   r   ra   rs  r   )rr  r   r   )r   r   r  r  rl   rh   r  r   )r@  ro   rp   _r]  s        rv   test_kendall_tau_largera    sr    A
		!a%&A
		!a%&AFFAbEq!GGGAtsrx   c            
      z   d } d }t         j                  j                  d       t        dd      D ]  }g }t        |      D ]  }||g|z  z  } t	        |      }t         j                  j                  |       t         j                  j                  |       t        j                  t        |      t         j                        }t        d      D ]c  }dD ]=  } | |||||      }	t        j                  |||||      j                  }
t        |	|
       ? t         j                  j                  |       e 	 y )	Nc                 h   dx}x}x}x}}	t        t        t        |             t        t        |                   D ]  \  }
}|r |||
          |||         z   n |||
          |||         z  }||z  }| |
   | |   k(  r||z  }||
   ||   k(  r|	|z  }	| |
   | |   k  r||
   ||   k  s| |
   | |   kD  r||
   ||   kD  r||z  }| |
   | |   k  r||
   ||   kD  s| |
   | |   kD  s||
   ||   k  s||z  } ||z
  t        j                  ||z
        z  t        j                  ||	z
        z  S )Nr   )r   r  lenr   r  )ro   rp   rS  rR  addtotconcdiscuvr  rB  ws                rv   wkqz*test_weightedtau_vs_quadratic.<locals>.wkq+  sm   $%%%d%T%AeCFmU3q6]; 	FQ7:Q 747#33T!W%Q(88 1HCtqt|Qtqt|Qtad{qtad{adQqTkadQqTk	1!1!!qt!qt		 trwwsQw//"''#'2BBBrx   c                     d| dz   z  S )Nr   r   r   rO  s    rv   rR  z.test_weightedtau_vs_quadratic.<locals>.weigher;  s    QU|rx   r  r2   r[   r5  r1   r_   )r   r  r(  r  r  r  r   rd  intprh   rX  r
  r
   )rl  rR  r  r  r  r"  rS  r`  re  r  r  s              rv   test_weightedtau_vs_quadraticro  )  s   C  IINN21R[ $q 	A!QJA	G
		!
		!yyQrww/q 	$A$ 6q!T7C8**1awDNN#Hf56
 IId#	$$rx   c                       e Zd Zd Zd Zy)TestFindRepeatsc                     g d}d}t        j                  |      5  t        j                  |      \  }}d d d        t	        g d       t	        g d       y # 1 sw Y   &xY w)N)r   r1   r2   r3   r   r1   r2   r3   r   r1   r4   +`scipy.stats.find_repeats` is deprecated...r   rW  )r2   r2   r1   r1   r,  deprecated_callrh   find_repeatsr	   )rm   r  rt  r   numss        rv   r#  zTestFindRepeats.test_basicT  sW    -?##'2 	.**1-IC	.3-4.	. 	.s   AA$c                     g dg fD ]S  }d}t        j                  |      5  t        j                  |      \  }}d d d        t	        g        t	        g        U y # 1 sw Y   $xY w)N)r[   r  2      (   rs  r   rt  )rm   r  rt  repeatedcountss        rv   test_empty_resultz!TestFindRepeats.test_empty_result\  sg    &+ 	+ACG''g6 9#(#5#5a#8 &9x,vr*	+9 9s   AA'	N)r   r   r   r#  r~  r   rx   rv   rq  rq  R  s    /+rx   rq  c                   8   e Zd Zd Zd Zd Zd Zd Zd Zd Z	e
j                  j                  d      d	        Ze
j                  j                  d      d
        Ze
j                  j                  d      d        Zd Zd Zd Zd Zd Zd Zd Zd Zd Zd Zy)TestRegressionc                    t        j                  d      j                  d      }d}t        j                  |      5  t        j                  |       d d d        t        j                  |d   |d          y # 1 sw Y   &xY w)Nr  r1   r[   zInference of the two sets...r   r   r   )r   r   rj   r,  ru  rh   
linregressrm   ro   rt  s      rv   test_one_arg_deprecationz'TestRegression.test_one_arg_deprecationh  sh    IIbM!!'*0##'2 	 Q	 1qt$	  	 s   A88Bc                     t        j                  t        t              }t	        |j
                  d       t	        |j                  d       t	        |j                  d       t	        |j                  d       y )Nir   r   )	rh   r  rf   r   r   	interceptrvaluestderrintercept_stderrrm   ra  s     rv   test_linregressBIGXz"TestRegression.test_linregressBIGXo  sR    !!!S)F,,h7FMM3/ 	FMM3/F33S9rx   c                     t        j                  t        t              }t        |j                  d       t        |j
                  d       t        |j                  d       t        |j                  d       y )Nr   r   )rh   r  rf   r   r  r  r  r  r  s     rv   test_regressXXzTestRegression.test_regressXXy  sR    
 !!!Q'F,,c2FMM3/FMM3/F33S9rx   c                     t        j                  t        t              }t	        |j
                  d       t	        |j                  d       y )Nr   )rh   r  rf   ZEROr   r  r  r  s     rv   test_regressZEROXz TestRegression.test_regressZEROX  s4    
 !!!T*F,,c2FMM3/rx   c                 T   t        j                  ddd      }dt        j                  ddd      z  dz   }|t        j                  t        j                  ddd            z  }t        j                  ||      }t
        }t        t        ||             t        |j                  d       y )Nr   r~  皙?r[   r  穷4_Qc?)
r   linspacesinrh   r  r"   r   
isinstancer   r  )rm   ro   rp   ra  lrs        rv   test_regress_simplez"TestRegression.test_regress_simple  s    KK3$"++ac**R/	RVVBKK2s+,,!!!Q'
62&'FMM+@Arx   c                    t        j                  ddd      }dt        j                  ddd      z  dz   }|t        j                  t        j                  ddd            z  }t        j                  t
        d      5  t        j                  ||d	       d d d        t        j                  ||d
	      }t        j                  ||d	      }t        |j                  d|j                  dz  z
         t        j                  ||d	      }t        |j                  |j                  dz         |j                  |j                  cxk(  r|j                  k(  sJ  J y # 1 sw Y   xY w)Nr   r~  r  r[   r  r  r   r  rX  rP  rR  r   r1   rT  )r   r  r  r,  r   r   rh   r  r   r	  r  )rm   ro   rp   rz  r  r  s         rv   test_regress_alternativez'TestRegression.test_regress_alternative  s   KK3$"++ac**R/	RVVBKK2s+,,]]:-NO 	<Q{;	< 1+> 1&9Q$++/%:; 1)<T[[1_5{{dkk8T[[88888	< 	<s   =EE'c                 r   g d}g d}t        j                  ||d      }t        |j                  d       t        |j                  d       t        |j
                  t        j                  d             t        |j                  d       t        |j                  d	       t        |j                  d
       y )N)
                              )
?   Q   8   [   /   9   r  H   >   r  rP  rX  gؗh?gJK@:Cgag?g->g5ՒO?g]؊E @)rh   r  r   sloper  r  r   r  r	  r  r  )rm   ro   rp   r   s       rv   test_regress_against_Rz%TestRegression.test_regress_against_R  s     ?4q!=		?3'89

BGGM$:;

$56

O4,,o>rx   ignore::DeprecationWarningc                 v   t        j                  ddd      }dt        j                  ddd      z  dz   }|t        j                  t        j                  ddd            z  }t        j                  ||f      }t	        j
                  |      }t        |j                  d       t        |j                  d       y )Nr   r~  r  r[   r  r  8?)	r   r  r  vstackrh   r  r   r  r  )rm   ro   rp   rowsra  s        rv   test_regress_simple_onearg_rowsz.TestRegression.test_regress_simple_onearg_rows  s     KK3$"++ac**R/	RVVBKK2s+,,yy!Q !!$'FMM+@AF335JKrx   c                    t        j                  ddd      }dt        j                  ddd      z  dz   }|t        j                  t        j                  ddd            z  }t        j                  t        j                  |d      t        j                  |d      f      }t        j                  |      }t        |j                  d       t        |j                  d       y )	Nr   r~  r  r[   r  r   r  r  )
r   r  r  hstackexpand_dimsrh   r  r   r  r  )rm   ro   rp   columnsra  s        rv   test_regress_simple_onearg_colsz.TestRegression.test_regress_simple_onearg_cols  s    KK3$"++ac**R/	RVVBKK2s+,,))R^^Aq12>>!Q3GHI!!'*FMM+@AF335JKrx   c                 h    t        t        t        j                  t	        j
                  d             y )Nr  )r   r   rh   r  r   r  r#  s    rv   test_regress_shape_errorz'TestRegression.test_regress_shape_error  s     	j%"2"2BGGFODrx   c                    t        j                  d      }t        j                  dd      }|ddgxx   dz  cc<   |ddgxx   dz  cc<   t        j                  ||      }d } ||j                  d	        ||j
                  d
        ||j                  d        ||j                  d        ||j                  d        ||j                  d       y )Nr\   r4   r   r   r   ra   c                     t        | |d      S )NrY   r  )r   ro   rp   s     rv   	assert_aez1TestRegression.test_linregress.<locals>.assert_ae  s    &q!R88rx   r   rN   gePUn?g.bt>gڽE?gʺL7?)
r   r   rh   r  r  r  r  r	  r  r  )rm   ro   rp   ra  r  s        rv   test_linregresszTestRegression.test_linregress  s    IIbMIIa	A+!	A+!!!!Q'	9&,,$&""C(&--!12&--1&--!56&))+>?rx   c                    d\  }}t        j                  |d|z  |      }t        j                  d|z  ||      }t        j                  ||      }t	        |j
                  dk\         t        |j
                  d       t	        t        j                  |j                                t	        t        j                  |j                                y )N)gJr 11順 r1   ra   )
r   r  rh   r  r   r  r   r  r  r  )rm   r  r@  ro   rp   ra  s         rv    test_regress_simple_negative_corz/TestRegression.test_regress_simple_negative_cor	  s     1KK1q5!$KKAq!$!!!Q' 	#$FMM2. 	BHHV]]++,BHHV44556rx   c                 b   t        j                  ddd      }dt        j                  ddd      z  dz   }|t        j                  t        j                  ddd            z  }t        j                  ||      }t
        }t        t        ||             d}t        ||       dt        |      v sJ y )Nr   r~  r  r[   r  )r  r  r  r	  r  r  )
r   r  r  rh   r  r"   r   r  r   dir)rm   ro   rp   ra  r  r  s         rv   !test_linregress_result_attributesz0TestRegression.test_linregress_result_attributes	  s    KK3$"++ac**R/	RVVBKK2s+,,!!!Q' 
62&' J
FJ/!S[000rx   c                 
   t        j                  d      }t        j                  dd      }t        j                  ||      }t	        |j
                  d       t	        |j                  d       t	        |j                  d       y )Nr1   r2   r4   r   )r   r   rh   r  r   r	  r  r  rm   ro   rp   ra  s       rv   test_regress_two_inputsz&TestRegression.test_regress_two_inputs&	  s`    IIaLIIaO!!!Q' 	FMM3/ 	FMM3/F33S9rx   c                    t        j                  d      }t        j                  d      }t        j                  ||      }t        |j                  d       t        |j                  d       t        |j                  d       y )Nr1   r   r   )	r   r   r  rh   r  r   r	  r  r  r  s       rv   'test_regress_two_inputs_horizontal_linez6TestRegression.test_regress_two_inputs_horizontal_line3	  s^    IIaLGGAJ!!!Q' 	FMM3/ 	FMM3/F33S9rx   c                 N   g d}g d}t        j                  ||      }t        |j                  d       t        |j                  d       t        |j
                  dz  d       t        |j                  d       t        |j                  d       t        |j                  d	       y )
N)$r  gfffffu@ǧ]@g̤@333333$@g     Pl@gfffff҄@gfffff"@g	|@g     H@gq@皙?333333?g     <@g33333ׄ@g      u@g     {@g333333'@g     `@33333l@gfffff@g̼@g^@r  r  gffffff@g1u@g@g     8@g     X@g333333&@g33333]@gfffffl@g@fffff|@r:   )$r  g,u@gfffff]@     @r  r  g     @     4@g|@33333W@gy@r  r  gP@gfffff@4u@r  g%@gm@gl@g     0@gfffffƋ@gfffff]@r  r  gl@r  r  r  r  gffffff$@gffffff]@g̜l@g33333@g33333|@r  g?g!пr1   gpX?r   gh-h*<?gg?)	rh   r  r   r  r  r  r	  r  r  r  s       rv   test_nist_norriszTestRegression.test_nist_norris@	  s    77 !!!Q'FLL*:;F,,.@AFMM1,.?@FMM3/FMM+;<F335EFrx   c                    t        j                  ddd      }dt        j                  ddd      z  dz   }|t        j                  t        j                  ddd            z  }t        j                  ||      }t        j
                  ||d      }t        |j                  |d          t        |j                  |d          y )Nr   r~  r  r[   r  r   )	r   r  r  rh   r  polyfitr   r  r  )rm   ro   rp   ra  polys        rv   test_compare_to_polyfitz&TestRegression.test_compare_to_polyfit[	  s    KK3$"++ac**R/	RVVBKK2s+,,!!!Q'zz!Q" 	FLL$q'2F,,d1g6rx   c                 D    t        t        t        j                  g g        y r  )r   r   rh   r  r#  s    rv   test_empty_inputzTestRegression.test_empty_inputg	  s    j%"2"2B;rx   c                    t        j                  d      }t         j                  |d<   t        j                  d      5  t	        j
                  ||      }d d d        t        }t        t        |             t        |t         j                  fdz         t        |j                  t         j                         y # 1 sw Y   gxY w)Nr   r8   ignoreinvalidr4   )r   r   rl   errstaterh   r  r"   r   r  r	   r   r  )rm   ro   ra  r  s       rv   test_nan_inputzTestRegression.test_nan_inputj	  s    IIcNvv![[* 	,%%a+F	, 
62&'6BFF9Q;/V,,bff5	, 	,s   B<<Cc                     t        j                  d      }t         j                  j                  d      }d}t        t        |      5  t        j                  ||       d d d        y # 1 sw Y   y xY w)Nr[   z$Cannot calculate a linear regressionr   )r   r  r  r   r   rh   r  rm   ro   rp   r   s       rv   test_identical_xzTestRegression.test_identical_xw	  sW    HHRLIIR 4:S1 	#Q"	# 	# 	#s   A((A1N)r   r   r   r  r  r  r  r  r  r  r,  r  filterwarningsr  r  r  r  r  r  r  r  r  r  r  r  r  r   rx   rv   r  r  f  s    %:
:*0	B9*?* [[ <=
L >
L [[ <=L >L [[ <=E >E
@,7$1 ::G6
7<6#rx   r  c                     t        j                  g d      \  } }}}t        | d       t        |d       d}t        j                  t
        |      5  t        j                  g dd       d d d        t        j                  g dd      \  } }}}t        | d       t        |d       g d	}g d
}t        j                  ||dd      \  } }}}t        | d       t        |d       t        |dd       t        |dd       t        j                  ||dd      \  } }}}t        | d       t        |d       t        |dd       t        |dd       y # 1 sw Y   xY w)Nr   r   r   r:   zHmethod must be either 'joint' or 'separate'.'joint_separate' is invalid.r   joint_separaterq  jointr   )r   r1   r2   r3   r[   r]      )r8   r     r  -   7   N   gQ?separater3   r   gQ@r1   r  gGz@r   )rh   theilslopesr   r,  r   r   )r  r  lowerupperr   ro   rp   s          rv   test_theilslopesr  	  sI   %*%6%6w%?"E9eUs#	3'*C	z	- >),<=> &+%6%6y>E&G"E9eUs#	3' 	!A#A%*%6%6q!T>H&J"E9eUq!	3'tQ/tQ/%*%6%6q!T>E&G"E9eUq!	3'tQ/tQ//> >s   EE c                  (   g d} t        j                  | d      \  }}}}t        |t        j                  g d             t        j                  | dd      \  }}}}t        |dk(         d}t        j                  | dd      }t        ||       y )	Nr   r3   r1   r   r2   r   r3   numbins)r  r   rN   r   )r;   r4   )r  defaultreallimitsr2   )cumcountr   binsizeextrapoints)rh   cumfreqr   r   r   r   r   )ro   cumfreqslowlimr  r   r  r   s          rv   test_cumfreqr  	  s    A-2]]1a-H*Hfg{h1A(BC-2]]	1.2*Hfg{K1 FJ
--1
ACZ(rx   c                  6   t        j                  g d      } t        j                  | d      \  }}}}t	        |t        g d             d}t        j                  | d      }t        ||       t        j                  g dd      \  }}}}t	        ||       y )Nr  r3   r  )r:   K}\UU?r  r  )	frequencyr   r  r   )r   r   rh   relfreqr   r   )r  relfreqsr  r  r   r  r   	relfreqs2s           rv   test_relfreqr  	  s    
#$A-2]]1a-H*Hfg{h#$MNP GJ
--1
%CZ( /4mm<NDE/G+Ivwh	2rx   c                   <    e Zd Zd Zd Zd Zd Zd Zd Zd Z	d Z
y	)
TestScoreatpercentilec                 :    g d| _         g d| _        g d| _        y )N)r2   r3   r4   r[   rb   r5   )r2   r  r7   r6   r3   r1   r   )r  r3   r4   r[   rb   r  r  r   )a1a2a3r#  s    rv   setup_methodz"TestScoreatpercentile.setup_method	  s    *,1rx   c                     t        d      dz  }t        t        j                  |d      d       t        t        j                  |d      d       t        t        j                  |d      d       y )	Nr7   r:   r   r   r~  r=   ry        ?)r   r   rh   scoreatpercentiler.  s     rv   r#  z TestScoreatpercentile.test_basic	  sT    1IOU,,Q2B7U,,Q4c:U,,Q3T:rx   c           	      F   t         j                  }t         |t        t	        d            d      d       t         |t        t	        d            dd      d       t         |t        t	        d            dd      d       t         |t        j                  g d      dd	      d
       t         |t        j                  g d      dd      d       t         |t        t	        d            dd      d       t         |t        t	        d            ddd      d       t         |t        t	        d            ddd      d       t         |t        j                  g d      dd	d      d
       t         |t        j                  g d      ddd      d       y )Nr[   ry  r>   r1   r6   r~  r   r7   )limitr   r[   r~  r[   r~  r  r   r[   r?   fractioninterpolation_methodr  r!  rh   r  r   r  r  r   r   rm   scoreatpercs     rv   test_fractionz#TestScoreatpercentile.test_fraction	  sP   -- 	[eBi"5s;[eBi"e<cB[eCj!12VDcJ[+!6HErJ[+!6FCSI 	[eBi":V	[eBi"F6@B	 	[eCj!12V6@B	 	[+!6I6@B	 	[+!6F6@B	rx   c           	      X   t         j                  }t         |t        t	        d            dd      d       t         |t        t	        d            dd      d       t         |t        t	        d            ddd      d       t         |t        t	        d            ddd	      d       t         |t        t	        d
            ddd      d       t         |t        t	        d
            ddd      d       t         |t        j                  g d      ddd      d       t         |t        j                  g d      ddd	      d
       t         |t        j                  g d      ddd      d       t         |t        j                  g d      ddd	      d       y )Nr[   ry  r  r   r3   higherr4   r  r"  r~  r  r  r  r  r   r#  r$  s     rv   test_lower_higherz'TestScoreatpercentile.test_lower_higher	  s~   -- 	[eBi"6=?@A	C[eBi"6>@AB	D[eBi"e6=?@A	C[eBi"E6>@AB	D[eCj!12u6=?@A	C[eCj!12u6>@AB	D[,!7Y6=?@B	D[,!796>@AD	F[,!7W6=?@A	C[,!776>@AC	Erx   c           	      *   t        d      dz  }t        j                  g d      }t        j                  |g d      }t        ||       t        t        |t        j                               t        t        j                  |t        j                  g d            |       t        j                  t        j                   d      j                  d      t        j                  g d      d	      }t        g d
g dg dg dg      }t        ||       y )Nr7   r:   )r   r=   r  )r   r~  ry  r]   r2   r3   )r   r   r~  r~  r   rU   )r   r3   r7   )Q?gQ@g(\ @r2   r6   r\   )
r   r   r   rh   r  r   r   r  ndarrayrj   )rm   ro   r  r   r  	expected2s         rv   test_sequence_perz'TestScoreatpercentile.test_sequence_per	  s    1IO88N+%%a6X&
3

+,//288L3IJ 	" &&ryy}'<'<U'C')xx0@'AK9-%%' (	 	i(rx   c                     t         j                  }t        d      j                  dd      }t	         ||d      g d       g dg dg dg}t	         ||dd	
      |       g dg dg dg}t	         ||dd
      |       t        g dg dg dg dg dg      }t        j                  |d      }t	        |j                  d       t	        |d       t        j                  |dd	
      }t	        |j                  d       t	        |g d       y )Nr]   r2   r3   )r  ry  r~  )g      @r?         &@)r1   r2   r3   r4   r3   r4   r5   r6   )r7   r8   r[   r\   r   rU   )      ?g      @g     !@)r;   r?         #@r-  r   r   r   r   )r3   r3   r2   ry  r   r   r2   )rh   r  r   rj   r   r   r  )rm   r%  ro   r0r  scores         rv   	test_axiszTestScoreatpercentile.test_axis
  s    --2Jq!$[M24EFL.9[M:B? /:>[M:B?9	 
 ''2.U[["%UC ''2A6U[[$'UI&rx   c                     t        t        t        j                  ddgdd       t        t        t        j                  dgd       t        t        t        j                  dgd       y )Nr   r1   r  r   r   e   ra   )r   r   rh   r  r#  s    rv   test_exceptionz$TestScoreatpercentile.test_exception)
  sK    j%"9"9Aq62+3	5j%"9"9A3Dj%"9"9A3Crx   c                 f   t        t        j                  g d      t        j                         t        t        j                  t        j
                  g g g      d      t        j                         t        t        j                  g ddg      t        j                  t        j                  g       y )Nry  c   )r   rh   r  r   rl   r   r#  s    rv   
test_emptyz TestScoreatpercentile.test_empty/
  sm    U,,R4bff=U,,RXXr2h-?DbffMU,,R"b:RVVRVV<LMrx   N)r   r   r   r  r#  r&  r)  r0  r:  r=  r@  r   rx   rv   r  r  	  s-    2
;4E2)$'0DNrx   r  c            
       
   e Zd Zd Zd Zd Zd Zej                  j                  d e
j                  dd            d        Zd	 Zd
 Zej                  j                  dg dde
j                  ddddgg dde
j                  ddgg      ej                  j                  dddg      d               Zej                  j                  d e
j                  dd            e
j"                  fd       Zd Zd Zej                  j                  dddg      d        Zd Zej                  j/                  d      ej                  j                  d e
j0                  d        e
j0                  d!      g      d"               Zd# Zy$)%TestModec                    t        j                  t        t              5  t	        j
                  g       \  }}d d d        t        t        j                  g              t        t        j                  g              y # 1 sw Y   HxY wNr   )	r,  r-  r   r   rh   moder   r   r   rm   valsr}  s      rv   r@  zTestMode.test_empty7
  s\    \\,4IJ 	* ::b>LD&	*T288B<(VRXXb\*	* 	*s   B  B	c                     t        j                  d      \  }}t        |t        j                  dg             t        |t        j                  dg             y )Nr   r   )rh   rE  r   r   r   rF  s      rv   r   zTestMode.test_scalar=
  s;    zz"~fT288RD>*VRXXqc]+rx   c                 r    g d}t        j                  |      }t        |d   d       t        |d   d       y )Nr2   r4   r   r[      r2   r1   r5   r7   r5   r[   r5   r   r5   r   r2   rh   rE  r   )rm   data1rG  s      rv   r#  zTestMode.test_basicB
  s1    7zz% T!Wa T!Wa rx   c           
         g d}g d}g d}g d}g d}t        j                  |||||g      }t        j                  |d d      }t	        |d   t        j                  d	gg             t	        |d
   t        j                  dgg             t        j                  |dd      }t	        |d   t        j                  g dg             t	        |d
   t        j                  g dg             t        j                  |d
d      }t	        |d   t        j                  dgdgdgd	gd	gg             t	        |d
   t        j                  dgdgdgdgdgg             y )N)r[   r[   rz  r{  )r[   r[   r[   r[   )r  r[   r  r  )rz  rz  rz  rz  )r{  rz  rz  rz  TrV   keepdimsr   rz  r   r7   )r[   r[   rz  rz  )r1   r2   r2   r1   r[   r  r1   r3   r2   )r   r   rh   rE  r   )rm   rM  data2data3data4data5arrrG  s           rv   	test_axeszTestMode.test_axesH
  s+        hhueUE:;zz#D48T!Wbhhv./T!Wbhhuo.zz#A5T!Wbhh(8'9:;T!Wbhh~67zz#A5T!WbhhrdRD2$'EFGT!WbhhaS1#sQC'@ABrx   rV   r   c                 <   t         j                  j                  d       t         j                  j                  dddd      }t	        j
                  ||j                  |z         }t	        j
                  ||      }t         j                  j                  ||       y )N:r[   r\   r]   r^   rU   )	r   r  r(  r3  rh   rE  ndimr  r	   )rm   rV   r  r2  rz  s        rv   test_negative_axes_gh_15375z$TestMode.test_negative_axes_gh_15375\
  sf    
		y!IINN2r2r*zz!!&&+.zz!$'


%%dD1rx   c                     g d}g }t        j                  |      }d}t        ||       t        j                  t
        t              5  t        j                  |      }d d d        t        |       y # 1 sw Y   xY w)NrJ  )rE  countr   )rh   rE  r   r,  r-  r   r   )rm   rM  rQ  r  r  actual2s         rv   test_mode_result_attributesz$TestMode.test_mode_result_attributesd
  sf    7E"&
FJ/\\,4IJ 	(jj'G	(GZ0	( 	(s   	A44A=c                 J   dt         j                  dddddddddddg}t        j                  |      }t	        |d	       t        j                  |d
      }t	        |d	       t        t        t        j                  |d       t        t        t        j                  |d       y )Nr2   r4   r   r[   rK  r1   r5   r7   )r5   r2   r   r   r   r   )r   rl   rh   rE  r   r   r   )rm   rM  r  s      rv   test_mode_nanzTestMode.test_mode_nann
  s|    BFFAq"b!Q1aQ?E"VV$Ef5VV$j%**eHj%**eIrx   data)r2   r4   r   r   r2   r2   r4   r   )r2   r4   r   rP  FTc                 |    t        j                  |d|      }|rt        |d   d   d       y t        |d   d       y )Nr   )r   rP  r   r   rL  )rm   rb  rP  ra  s       rv   test_smallest_equalzTestMode.test_smallest_equalx
  s9     DVhG1q)A&rx   rb   c                    t         j                  j                  d      }|j                  d      j	                  |      }t        j                  ||d      }t        |j                        }|j                  |       t         j                  j                  |j                  j                  |       t         j                  j                  |j                  j                  |       y )NrY  r2   r3   r4   r  FrO  )r   r  r  uniformr  rh   rE  r  r  popr  r	   r]  )rm   rV   r3  r  r  r   reference_shapes          rv   test_mode_shape_gh_9955z TestMode.test_mode_shape_gh_9955
  s    ii##I.KKYK'..u5jj6qww-D!


%%chhnnoF


%%ciiooGrx   c                     dt         j                  dt         j                  g}t        j                  |      }t        j                  |j                        r|j
                  dk(  sJ y Nr1   r   )r   rl   rh   rE  r  r]  )rm   r  r   s      rv   !test_nan_policy_propagate_gh_9815z*TestMode.test_nan_policy_propagate_gh_9815
  sI     266"jjmxx!cii1n44nrx   c                 .   t        j                  d      }t        j                  |dd      }|j                  j                  |j
                  j                  cxk(  rdk(  sJ  J t        j                  |dd      }|j                  j                  |j
                  j                  cxk(  rdk(  sJ  J dddt         j                  gddt         j                  dgg}t        j                  |dd      }t        |j                  ddg       t        |j
                  d	dg       t        j                  |dd      }t        |j                  dgdgg       t        |j
                  d	gdgg       t        j                  |      }t        j                  |d d      }t        j                  |j                         d
      }t        ||       |j                  j                  |j                  j                  cxk(  rdk(  sJ  J t        j                  |d d      }t        j                  |j                         d
      }t        |j                  j                         |j                  j                                |j                  j                  dk(  sJ t        |j
                  j                         |j
                  j                                |j
                  j                  dk(  sJ 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      }t        |j                  g d       t        |j
                  g d       t        j                  |ddd      }t        |j                  dgd	gdgg       t        |j
                  d	gdgd	gg       t        j                  |      }t        j                  |d dd      }t        j                  |j                         dd      }t        ||       |j                  j                  |j                  j                  cxk(  rdk(  sJ  J t        j                  |d dd      }t        j                  |j                         dd      }t        |j                  j                         |j                  j                                |j                  j                  dk(  sJ t        |j
                  j                         |j
                  j                                |j
                  j                  dk(  sJ y )N)r   r1   r2   r   r   FrO  )r   r2   r   T)r   r   r2   r   r2   r1   rP  r   r  r4   r   )rV   rP  r   )r   r1   r4   )r1   r   r1   )rP  r   )r   r  rh   rE  r  r]  rl   r	   r   r  r   )rm   r  r   r  s       rv   test_keepdimszTestMode.test_keepdims
  s   HH\"jjU3xx~~=I=====jjT2xx~~@L@@@@@ ArvvArvvq 12jjU3388aV,399q!f-jjT2388qcA3Z0399sQCj1HHQKjj6jjU33$xx~~5255555jj5jjT2SXX^^%sxx~~'78xx~~'''SYY__&		(9:yy&((( +ffbffbffbffa0BFFAq!# jjUvF388Y/399i0jjTfE388qcA3_5399sQC!o6HHQKjj&IjjUvF3$xx~~5255555jjHjjTfESXX^^%sxx~~'78xx~~'''SYY__&		(9:yy&(((rx   r   r=  r   c                    d}t        j                  |      }t         j                  |d<   t        j                  |dd|      }t        |j                  g d       t        |j                  g d       t        j                  dt         j                  fd	t         j                  d
fg      }t        j                  d|      }d}t        j                  t        |      5  t        j                  ||       d d d        y # 1 sw Y   y xY w)N)r3   r2   r  r   F)r  rV   rP  r   r  r1   r2   r2   r2   asdfqwerr7  r[   r5  z0Argument `a` is not....|An argument has dtype...r   r   )r   r  rl   rh   rE  r	   r]  r3  uint8r   r  r,  r   	TypeError)rm   r   r  rb  r   my_dtypetestrt  s           rv   test_gh16955zTestMode.test_gh16955
  s     wwu~VVT
jj4a%JO388\2399l3 88fbhh/&"**d1KLMxx(+D]]9G4 	4JJt
3	4 	4 	4s    DD
c                 ~   t        j                  t        t              5  t	        j
                  g       }d d d        t        j                  df}t        |       t        j                  t        t              5  t	        j
                  t        j                  gd      }d d d        t        ||       g dt        j                  t        j                  t        j                  gg}t        j                  t        t              5  t	        j
                  |dd      }d d d        dt        j                  gd	dgf}t        ||       t	        j
                  |dd
      }dt        j                  gd	dgf}t        ||       t        j                  g g g      }t        j                  t        t              5  t	        j
                  |d      }d d d        t        j                  t        j                  gddgf}t        ||       y # 1 sw Y   xY w# 1 sw Y   yxY w# 1 sw Y   xY w# 1 sw Y   axY w)Nr   r   r   r   )r   r  r  r   r>  r  r1   r=  r2   rU   )r,  r-  r   r   rh   rE  r   rl   r   r   r   r   r   )rm   r   r  r  zs        rv   test_gh9955zTestMode.test_gh9955
  s    \\,4IJ 	!**R.C	!vvqkS#\\,4EF 	:**bffX&9C	:S#rvvrvvrvv67\\,4EF 	;**QQ6:C	;BFF|aV$S#jj{;BFF|aV$S#HHb"X\\,4IJ 	(**QQ'C	(!Q(S#/	! 	!
	: 	:
	; 	;	( 	(s/   H;'HH&;H3HH#&H03H<zignore::RuntimeWarningr{  rV  r  c                    |j                   dk(  rAt        j                  t        t              5  t        j                  |d d      }d d d        nt        j                  |d d      }t        j                  |d d      }d   j                  |d   j                  cxk(  r|j                  cxk(  rdk(  sJ  J y # 1 sw Y   \xY w)Nr   r   TrO  r   r6  )
r  r,  r-  r   r   rh   rE  r   rk   r  )rm   r{  r   r  s       rv   test_gh17214zTestMode.test_gh17214  s     66Q;08MN >jj=> > **QTD9CggadT21v||s1v||EsyyEIEEEEE> >s   B<<Cc                    t         rdnd} G d d      }t        j                  t        |      5  t	        j
                   |t        j                  d                   d d d        t        j                  t        |      5  t	        j
                  t        j                  dt                     d d d        y # 1 sw Y   \xY w# 1 sw Y   y xY w)Nz'...only boolean and numerical dtypes...z*Argument `a` is not recognized as numeric.c                       e Zd Zd ZddZy)8TestMode.test_raise_non_numeric_gh18254.<locals>.ArrLikec                     || _         y r  )_xr.  s     rv   __init__zATestMode.test_raise_non_numeric_gh18254.<locals>.ArrLike.__init__  s	    rx   Nc                 @    | j                   j                  t              S r  )r  r  object)rm   r3  copys      rv   	__array__zBTestMode.test_raise_non_numeric_gh18254.<locals>.ArrLike.__array__  s    ww~~f--rx   )NN)r   r   r   r  r  r   rx   rv   ArrLiker    s    .rx   r  r   r2   r5  )	r.   r,  r   rv  rh   rE  r   r   r  )rm   rt  r  s      rv   test_raise_non_numeric_gh18254z'TestMode.test_raise_non_numeric_gh18254  s    @O<D 		. 	. ]]9G4 	.JJwryy|,-	.]]9G4 	3JJryy&12	3 	3	. 	.	3 	3s   /B:/C:CCN)r   r   r   r@  r   r#  rV  r,  r  r  r   r   r[  r_  ra  rl   rd  r   rj  rm  rp  ry  r|  r  emptyr~  r  r   rx   rv   rB  rB  5
  s   +,
!C( [[VYRYYr1%562 721J [[V	
BFFAq!Q	
BFFAq	&  [[Z%7' 8' [[VYRYYr1%5624** H 7H5:)x [[\K+@A4 B4": [[ 89[[S8288I#68K"LMF N :F3rx   rB  c                   D    e Zd Zg dZdZd Zd Z edd      d        Zy	)
TestSEMr  r   c                    |j                  | j                        d   }t        |      r>t        j                  t
        t              5  t        j                  |      }d d d        nft        j                  j                         5 }|j                  t               |j                  t               t        j                  |      }d d d        |j                        sJ y # 1 sw Y   xY w# 1 sw Y   )xY w)Nr   r   )re   scalar_testcaser+   r,  r-  r   r   rh   semr   r  r   r   UserWarningr   r  )rm   rn   r  rp   r   s        rv   test_sem_scalarzTestSEM.test_sem_scalar$  s     **T%9%9:2>B<08MN /IIo./ / --/ /3

;'

>*IIo./ xx{{/ // /s   	C"A C."C+.C7c                 8   |j                  | j                        }t        j                  |      }t	        ||j                  d             t        | j                        }t	        t        j                  |d      ||dz
  z  dz  z  t        j                  |d             |j                  d      }|j                  |dk(  |j                  |j                        |      }t        t        j                  |      |j                  |j                               y )Ng㝎?r   ddofr1   r:   r   r8   )
re   testcaserh   r  r/   rd  r   whererl   r0   )rm   rn   r  rp   r@  ro   s         rv   test_semzTestSEM.test_sem6  s    ::dmm,IIh2::l34		(3q!A#wnD		(3	5 IIcNHHQ!VRZZ/3		!bjj&89rx   Tz(`nan_policy` only supports NumPy backendr   c                    t        j                  d      }t         j                  |d<   t        t	        j
                  |d      d       t        t        t        j
                  |d       t        t        t        j
                  |d       y )Nr   r8   r   r   gH=6?r   r   )r   r   rl   r   rh   r  r   r   rm   rn   ro   s      rv   test_sem_nan_policyzTestSEM.test_sem_nan_policyB  sX     IIcNvv!UYYqV46HIj%))Q7Cj%))Q8Drx   N)	r   r   r   r  r  r  r  rH   r  r   rx   rv   r  r    s:      HO$
: dGIEIErx   r  zJAX can't do item assignmentc                      e Zd Zej                  j                  dg dg dfg dg dfg      d        Zd Zd Zej                  j                  dd	d
g      d        Z	ej                  j                  dd	d
g      d        Z
d Zd Zd Zd Z edd      d        Zd Zd Zd Z edd      d        Zd Zd Zd Z edd      d        Zej                  j                  d ej4                  g        ej6                  d      g      d        Zd  Zed!        Zed"        Z d# Z!ej                  j                  d$d%      d&        Z"y')(TestZmapZscorezx, yr  ri  )r   r   rD  r  r   c                     |j                  |      |j                  |      }}t        ||      }||j                  |      z
  |j                  |d      z  }t	        j
                  ||      }t        ||       y )Nr   r|   )re   r)   rk   r   rh   zmapr/   )rm   ro   rp   rn   r   r  r{  s          rv   	test_zmapzTestZmapZscore.test_zmapQ  sf     zz!}bjjm1!!Q'
Ngkk!k&BBJJq!8$rx   c                 B   t        j                  g dg dg dg      }d}d}d}t        j                  ||d      }t        j                  ||d	      }| | d
z  | d
z  dgd|| d
z  |g|| d
z  || gg}g d| | | dgg dg}	t	        ||       t	        ||	       y Nr   r   r   r   )r   r   r   rD  )rD  r   rD  r   .!	?3Ey?;f?r   rU   r   r1   r   r  r  r   r   gLXz?)r   r  r   r  )r   r   rh   r  r/   
rm   rn   ro   t1t2t3z0r  z0_expectedz1_expecteds
             rv   test_zmap_axiszTestZmapZscore.test_zmap_axis_  s    HH***, - ZZ11%ZZ11%bSURCE3/R"Q+RCE2s+- .bS2#w/-/ 	K(K(rx   c                    |j                  g dg dg      }t        j                  ||dd      }|j                  g d      dz  }|j                  g d      dz  }t        |d	d d f   |       t        |dd d f   |       y 
Nr  )r   r   rD  r  r   )rV   r  )      r  r:   r:   g3Ey?)      r  r:   r;   g4?r   )re   rh   r  r/   rm   rn   ro   r{  r  r  s         rv   test_zmap_ddofzTestZmapZscore.test_zmap_ddofv  s}    JJ,,. / JJq!!!,jj!78*Ejj!78D!Q$-!Q$-rx   r  r   r1   c                 4   |j                  dddt        j                  g      }|j                  dddddt        j                  g      }t        j                  |||d      }t        j                  |||j                  |          |	      }t        ||       y )
Nrb   ra   r1   r6   r]   r   r  r   r  )re   r   rl   rh   r  r  r/   )rm   r  rn   scorescomparer{  r  s          rv   test_zmap_nan_policy_omitz(TestZmapZscore.test_zmap_nan_policy_omit  s     RQ/0**b"aB78JJvwTfEjj"((7*;);!<4H3rx   c           
      Z   |j                  |j                  dd      d      }|j                  |j                  ddd      d      }|j                  |d<   |j                  |d<   |j                  |d	<   t	        j
                  ||d
d|      }t	        j
                  |dd d f   |dd d f   |j                  |dd d f             |      }t	        j
                  |dd d f   |dd d f   |j                  |dd d f             |      }|j                  ||f      }t        ||       y )N      r   r1   ra   r  r5      )r   r3   r   r  r   r   )r   rV   r  r   r  )	rj   r   r  rl   rh   r  r  stackr/   )	rm   r  rn   r  r  r{  r2  rz  r  s	            rv   #test_zmap_nan_policy_omit_with_axisz2TestZmapZscore.test_zmap_nan_policy_omit_with_axis  s   BIIdC0':**R[[Q3W=JJvw6Mzz&A,1rxx17N6N(O#%zz&A,1rxx17N6N(O#%88T4L)8$rx   c                     |j                  g d      }|j                  ddddd|j                  g      }t        j                  t        d      5  t        j                  ||d	
       d d d        y # 1 sw Y   y xY w)Nrm  r  rb   r1   r6   r]   zinput contains nanr   r   r   )re   rl   r,  r   r   rh   r  )rm   rn   r  r  s       rv   test_zmap_nan_policy_raisez)TestZmapZscore.test_zmap_nan_policy_raise  sc    I&**b"aB78]]:-AB 	<JJvw7;	< 	< 	<s   A22A;c                     t        j                  |j                  g d            }g d}t        ||j                  |             y )NrW  )gOT\wg%ܿg%?gOT\w?)rh   zscorere   r/   )rm   rn   rp   desireds       rv   test_zscorezTestZmapZscore.test_zscore  s5     LLL1262::g./rx   c                 r   |j                  g dg dg dg      }d}d}d}t        j                  |d      }t        j                  |d	      }| | d
z  | d
z  dgd|| d
z  |g|| d
z  || gg}g d| | | dgg dg}	t        ||j                  |             t        ||j                  |	             y r  re   rh   r  r/   r  s
             rv   test_zscore_axiszTestZmapZscore.test_zscore_axis  s    JJ,,,. / \\!!$\\!!$bSURCE3/R"Q+RCE2s+- .bS2#v.-/ 	BJJ{34BJJ{34rx   c                    |j                  g dg dg      }t        j                  |dd      }|j                  g d      dz  }|j                  g d      dz  }t        |d	d d f   |       t        |dd d f   |       y r  r  r  s         rv   test_zscore_ddofzTestZmapZscore.test_zscore_ddof  s{    JJ,,. / LL+jj!78*Ejj!78+F!Q$-!Q$-rx   ry   rz   rE   c                     |j                  ddt        j                  ddg      }t        j                  |d      }t        ||j                  |j                  |j                               y )Nr   r1   r3   r4   r=  r   )re   r   rl   rh   r  r0   r   r  rm   rn   ro   r{  s       rv   test_zscore_nan_propagatez(TestZmapZscore.test_zscore_nan_propagate  sL    JJ1bffa+,LL{3277177BFF34rx   c                     |j                  dd|j                  ddg      }t        j                  |d      }|j                  dd|j                  d	d
g      }t	        ||       y )Nr   r1   r3   r4   r   r   gIHb=gIHb=gIHb=?gIHb=?)re   rl   rh   r  r/   )rm   rn   ro   r{  r  s        rv   test_zscore_nan_omitz#TestZmapZscore.test_zscore_nan_omit  sa    JJ1bffa+,LLv.::22!vv11	! " 	8$rx   c                 .   |j                  |j                  dddddg      }t        |      }t        j                  |dd      }|j                  |j                  |j                  g      t        j                  |dd  d	      g      }t        ||       y )
Nr   r  rN   r   r   r   r   r  r  )re   rl   r)   rh   r  concatr/   )rm   rn   ro   r   r{  r  s         rv   test_zscore_nan_omit_with_ddofz-TestZmapZscore.test_zscore_nan_omit_with_ddof  s{    JJS#sC89!!$LLv6>>2::rvvh#7aeRS9T"UV8$rx   c                     |j                  dd|j                  ddg      }t        j                  t        d      5  t        j                  |d       d d d        y # 1 sw Y   y xY w)	Nr   r1   r3   r4   zThe input contains nan...r   r   r   )re   rl   r,  r   r   rh   r  r  s      rv   test_zscore_nan_raisez$TestZmapZscore.test_zscore_nan_raise  sQ    JJ1bffa+,]]:-HI 	0LLw/	0 	0 	0s   AA&c                    |j                  dgdz        }t        j                  t        d      5  t	        j
                  |      }d d d        t        |j                  |j                  |j                               y # 1 sw Y   :xY w)NgʡEr2   Precision loss occurred...r   )
re   r,  r-  r   rh   r  r0   r   r  rl   r  s       rv   test_zscore_constant_input_1dz,TestZmapZscore.test_zscore_constant_input_1d  sd    JJx!|$\\.0LM 	 QA	 277177BFF34	  	 s   B  B	c                    |j                  g dg dg      }t        j                  t        d      5  t	        j
                  |d      }d d d        t        |j                  |j                  dddg|j                  dddgg             t        j                  t        d      5  t	        j
                  |d	      }d d d        t        |j                  |j                  |j                  |j                  |j                  |j                  g      t	        j
                  |d	d d f         g             t	        j
                  |d       }t        ||j                  t	        j
                  |j                  |d
            |j                               |j                  d      }t        j                  t        d      5  t	        j
                  |d       }d d d        t        ||j                  |j                  |j                  |j                                     y # 1 sw Y   xY w# 1 sw Y   uxY w# 1 sw Y   cxY w)Nr   r   r   r   r   r2  rW        *@r  r   r   rU   r  r   r   ra   )r2   r5   )re   r,  r-  r   rh   r  r/   rl   r0   r  rj   r  r  r   )rm   rn   ro   r  r  r{  rp   s          rv   test_zscore_constant_input_2dz,TestZmapZscore.test_zscore_constant_input_2d  s   JJ002 3\\.0LM 	)aa(B	)BJJtT(B)+c3(?(A B 	C \\.0LM 	)aa(B	)BHHbjj"&&"&&"&&"&&1Q&R&+ll1QT7&;&= > 	? LL&2::ell2::a3G&H!''RSGGFO\\.0LM 	+QT*A	+277177BJJrvv,>?@!	) 	)
	) 	)	+ 	+s#   H%'H2H?%H/2H<?Ic                 R   |j                  g dddd|j                  gdd|j                  dgg      }d}d}t        j                  t        d      5  t        j                  |d	d
      }d d d        t        |j                  |j                  | d|j                  g|j                  d
d|j                  g|j                  ||j                  |j                  gg             t        j                  t        d      5  t        j                  |d	d      }d d d        t        |j                  |j                  |j                  |j                  |j                  g| d
||j                  g| dz  ||j                  | dz  gg             y # 1 sw Y   'xY w# 1 sw Y   xY w)Nr  r   r2  rW  r  r  r  r   r   r   r   rV   r  r   r   r1   )re   rl   r,  r-  r   rh   r  r/   )rm   rn   ro   r  s2r  r  s          rv   -test_zscore_constant_input_2d_nan_policy_omitz<TestZmapZscore.test_zscore_constant_input_2d_nan_policy_omit  sv   JJ0tT2662tRVVT24 5 \\.0LM 	<aF;B	<BJJ!T266(B)+C(@)+BFFBFF(C(E F 	G \\.0LM 	<aF;B	<BJJ(H*+Q266(:*,QBFFRCE(B(D E 	F	< 	<	< 	<s   F?FFF&c           	         |j                  t        j                  t        j                  t        j                  t        j                  gg dg      }t        j                  |dd      }t        ||j                  t        j                  t        j                  t        j                  t        j                  gg dg             y )N)r   r   rW  rW  r   r   r  r  )re   r   rl   rh   r  r/   r  s       rv   test_zscore_2d_all_nan_rowz)TestZmapZscore.test_zscore_2d_all_nan_row  s    JJ802 3LLvA62::'G'='? @ 	Arx   c                     |j                  d|j                        }t        j                  |dd       }t	        ||       y )Nr  r   r  )r   rl   rh   r  r0   )rm   rn   rp   r{  s       rv   test_zscore_2d_all_nanz%TestZmapZscore.test_zscore_2d_all_nan"  s4     GGFBFF#LLvD91rx   ro   )r2   r   r4   c                 h    |j                  |      }t        j                  |      }t        ||       y r  )re   rh   r  r0   )rm   ro   rn   r{  s       rv   test_zscore_empty_inputz&TestZmapZscore.test_zscore_empty_input)  s&    JJqMLLO1rx   c           	         t        j                  g d      }t        j                  |j                  |            }t        j                  |t        j
                  |      z        t        j                  t        j                  |d            z  }t        ||j                  ||j                  d      j                               y )NrW  r   r  r   r5  )	r   re   rh   gzscoreloggmeangstdr/   r3  )rm   rn   ro   r{  r  s        rv   test_gzscore_normal_arrayz(TestZmapZscore.test_gzscore_normal_array/  s    JJ|$MM"**Q-(&&U[[^+,rvvejj6K/LL2::gRZZ^5I5I:JKrx   c                    t        j                  g d      }g d}t         j                  j                  ||      }t	        j
                  |      }ddt         j                  ddg}t         j                  j                  ||      }t        |j                         |j                                t        |j                  |j                         t        |t         j                  j                        sJ y )N)r   r1   ra   r2   r3   )r   r   r   r   r   maskg0jg`ȿg/A?g(/?)r   r   r  masked_arrayrh   r  r  r   
compressedr  r  MaskedArray)rm   rn   ro   r  mxr{  r  s          rv   test_gzscore_masked_arrayz(TestZmapZscore.test_gzscore_masked_array5  s    HH%&UU-MM"#_bffn"$%%$$W4$8(:(:(<=-!RUU..///rx   c                    t         j                  j                  d      }|j                  d      }t        j                  |      }t         j
                  j                  ||      }d|j                  d<   t        j                  |dd        }t        j                  t        j                  |            rJ t        j                  |      }t        |dd  |       t        j                  |d       }t        |dd  |       |d   |dd  t        j                  t        d      5  t        j                  |      }d d d        t!        |dd  t         j"                         t        j                  t        d      5  t        j                  |d       }d d d        t!        |dd  t         j"                         y # 1 sw Y   xY w# 1 sw Y   3xY w)	Ni_ r[   Tr   r   rU   r  r   )r   r  r  standard_normal
zeros_liker  r  r  rh   r  r  r  r   r,  r-  r   r   rl   )rm   rn   r  ro   r  rp   r  r   s           rv   $test_zscore_masked_element_0_gh19039z3TestZmapZscore.test_zscore_masked_element_0_gh19039B  s`    ii##G,#}}QEEq$'q	ll1QR5!66"((3-(((ll1oAB%ll14(AB%!!"\\.0LM 	",,q/C	"SWbff%\\.0LM 	-,,qt,C	-SWbff%	" 	"	- 	-s   $F8:G8GGc                 R   |j                  d      }|j                  d      }|j                  |j                   |j                  |j                  g      }t        j                  t        d      5  t        j                  ||      }d d d        t        |       y # 1 sw Y   xY w)Nr2   r  r   )r   r  re   r  rl   r,  r-  r   rh   r  r0   )rm   rn   r  r  r  r   s         rv   test_degenerate_inputz$TestZmapZscore.test_degenerate_inputZ  s}    1''!*jj266'26626623\\.0LM 	.**VW-C	.S!	. 	.s   1BB&rG   needs array-api#850c                     t        j                  |j                  g d      |j                  g d            }|j                  g d      }t        ||       y )NrW  )r                 ?ra   ro  )y      ?        y       @        y      @        y      @        )rh   r  re   r/   )rm   rn   r   r  s       rv   test_complex_gh22404z#TestZmapZscore.test_complex_gh22404b  s>    jjL12::>N3OPjj9:S!rx   N)#r   r   r   r,  r  r  r  r  r  r  r  r  r  r  r  rH   r  r  r  r  r  r  r  r  r  r   r   r  r  r  r(   r  r  r  r  r   rx   rv   r  r  L  s   
 [[
,	-
,	-	/
%
%).
. [[VaV,  -  [[VaV,% -%<05.
. f%565 75
%%0
 f%565 75A*F&A f%56 7 [[S8288B<)1D"EF G
L 
0 
0 & &." [[!!"4=R!S" T"rx   r  c            
          e Zd Zd Zd Zd Zd Zd Zej                  j                  dg d      d        Zej                  j                  d	d
 ej                  ej                  ddg      fd ej                  ej                  ej                  dg      fg      d        Zej                  j                  ddg dfdg      d        Zd Zy)TestMedianAbsDeviationc                     t        j                  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        j                  g d      | _        y )N皙@r  r<   皙@r)  333333@=
ףp=@r'  (\
@r  r=   r(  皙@)\(@Q@)r  r  r  r  r<   r  r)  r  r  r  r'  r	  r  r  r  r=   r(  r
  r
  r
  r
  r  r  g33333<@)r   r   rl   dat_nandatr#  s    rv   setup_classz"TestMedianAbsDeviation.setup_classj  sg    xxtS#sCc!%tT4c3!$c3S$bff!N O 88 ? @rx   c                    t        t        j                  | j                  d       d       | j                  j	                  dd      }t        j                  |d      }t        j                  g d      }t        ||       y )NrU   gQ?r5   r3   r   )gףp=
?r:   ?r  )r   rh   median_abs_deviationr  rj   r   re   r   )rm   r  madmad_expecteds       rv   test_median_abs_deviationz0TestMedianAbsDeviation.test_median_abs_deviationr  sa    E66txxdK!	#hhq!$((15zz"9:!#|4rx   c                 ^    t        j                  | j                  d      }t        |d       y )Nr   r   g(\?)rh   r  r  r   )rm   r  s     rv   test_mad_nan_omitz(TestMedianAbsDeviation.test_mad_nan_omitz  s"    ((&IC&rx   c                     t        j                  ddddt         j                  gg dg      }t        j                  |d      }t        |t        j                  t         j                  dg             y )Nr   rD  r  r   )r   r   rN   r   r   r   rU   r   r   rl   rh   r  r   )rm   ro   r  s      rv   test_axis_and_nanz(TestMedianAbsDeviation.test_axis_and_nan~  sV    HHsCc2662/1 2((3S"((BFFC=12rx   c           	          t        j                  dddddt         j                  t         j                  g      }t	        j
                  |d      }t        |d       y )	Nr   r2   r3   r5   r?  r   r   r  )r   r   rl   r  rh   r  r   )rm   r{  r  s      rv   test_nan_policy_omit_with_infz4TestMedianAbsDeviation.test_nan_policy_omit_with_inf  sC    HHaAq"bffbff56((v>S#rx   rV   )r   r   r1   Nc                     t        j                  d      }t        j                  ||      }t	        |t        j
                  |j                  |      t         j                               y )N)r2   r   r3   rU   
fill_value)r   r  rh   r  r   	full_liker  rl   )rm   rV   ro   r  s       rv   test_size_zero_with_axisz/TestMedianAbsDeviation.test_size_zero_with_axis  sF    HHY((6S",,quu$u'7BFFKLrx   znan_policy, expectedr   r;   r=  c           	      x   t        j                  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      }t        ||       y )Nr   r4   r2   r5   )r4   r5   r6   r8   r8   r[   r  r  )rm   r   r  ro   r  s        rv   test_nan_policy_with_axisz0TestMedianAbsDeviation.test_nan_policy_with_axis  sy     HHrvvrvvrvvrvvrvvrvvF!Q2662662)+ , ((zJS(#rx   zaxis, expectedr   )r<   rD  rW  )Nr>   c                     t        j                  ddddt         j                  gg dg dg      }t        j                  |t         j
                  d|      }t        ||d	d	
       y )Nr   r1   r3   r8   )r   r   r   r   r]   )r%  r%  r  r  r   )centerr   rV   r  r  )r   r   rl   rh   r  rk   r   )rm   rV   r  ro   r  s        rv   test_center_mean_with_nanz0TestMedianAbsDeviation.test_center_mean_with_nan  s[     HHq!Q266*&-/ 0 ((277v.24XE>rx   c                     t        j                  t        d      5  t        j                  g dd       d d d        y # 1 sw Y   y xY w)Ncallabler   )r   r1   r2   r4   r?  r&  )r,  r   rv  rh   r  r#  s    rv   test_center_not_callablez/TestMedianAbsDeviation.test_center_not_callable  s9    ]]9J7 	@&&|B?	@ 	@ 	@s	   ?AN)r   r   r   r  r  r  r  r  r,  r  r  r!  r   r   rl   r#  r'  r+  r   rx   rv   r  r  i  s    @5'3
 [[V_5M 6M
 [[3%xrxxc0B'CD*HBHHbffbffc5J,KLNO$O$ [[- "23[AC?C?@rx   r  c                 l    t        t        |       |d       | D ]  }t        |j                  |u         y)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   rd  r   category)	warn_listexpected_typeexpected_lenwarn_s       rv   _check_warningsr2    s5     Y/CD 1-/01rx   c                       e Zd Zd Zd Zej                  j                  dg  ej                  d      g      d        Z
d Zd Zd Zd	 Zd
 Zd Zd Zd Zd Zy)TestIQRc                     t        j                  d      dz  }t         j                  j                  |       t	        t        j                  |      d       y )Nr7   r:   r  )r   r   r  r  r   rh   iqrr.  s     rv   r#  zTestIQR.test_basic  s8    IIaL3
		!UYYq\4(rx   c           	         t        j                  d      }t        j                  |       t        j                  |d        t        j                  |d       t        j                  |d       t        j                  |d d       t        j                  |d dd       t        j                  |d ddd	       t        j                  |d d
ddd       t        j                  |d ddddd       y )Nr'  r   r  )r[   Z   )rz  r  r   )r  r  r;   r=  )ry  ry  r  r   lineargٿr   r  T)r   r  rh   r6  )rm   r  s     rv   test_apizTestIQR.test_api  s    GGFO		!		!T		!Q		!V		!T8$		!T8S)		!T8S+6		!T8XwA		!T8T67DArx   ro   r   c                     t        j                  t        t              5  t	        t        j                  |      t        j                         d d d        y # 1 sw Y   y xY wrD  )	r,  r-  r   r   r   rh   r6  r   rl   r.  s     rv   r@  zTestIQR.test_empty  s=    \\,4IJ 	/1rvv.	/ 	/ 	/s   .AA c                 R   t        j                  d      }t        t        j                  |      d       t        t        j                  |d      t        j                  d             t        t        j                  |d      t        j                  d             t        t        j                  |d	      d       t        t        j                  |d
	      d       t        t        j                  |d	      d       t        t        j                  |d	      d       t        t        j                  |d	      d       t        j                  d      t        j                  d      z  }t        t        j                  |d      t        j                  d             t        t        j                  |d      t        j                  d             t        t        j                  |d      t        j                  dd             t        t        j                  |d      t        j                  d             t        t        j                  |d      t        j                  dd             t        t        j                  |d      t        j                  dd             y )N)r6   r3   r   r   rU   r3   r   r6   r9  interpolationmidpointnearestr  r(  r3   r4   r5   r5   )r4   r5   )r3   r5   r1   )r3   r4   r<   r  r   r1   r4   r  r   r1   )	r   r  r   rh   r6  r	   r  r   r   r*  s      rv   test_constantzTestIQR.test_constant  s   GGFOUYYq\3'599QQ/!=599QQ/!=UYYq93?UYYq
;SAUYYq	:C@UYYq8#>UYYq93? GGI1-599QQ/&1AB599QQ/&1AB599QQ/1EF599QV4bhhqkB599QV4bgganE599QV4bgganErx   c                     t        j                  d      dz   }t        t        j                  |d         d       t        t        j                  |      d       t        t        j                  |d      dg       y )Nr   r   r   r   Tro  )r   r   r   rh   r6  r	   r.  s     rv   test_scalarlikezTestIQR.test_scalarlike  sS    IIaL3UYYqt_c*UYYq\3'599Q6>rx   c                    t        j                  d      j                  d      }t        t	        j
                  |      d       t        t	        j
                  |d      t        j                  dd             t        t	        j
                  |d      t        j                  d	d
             t        t	        j
                  |d      d       t        t	        j
                  |d      d       y )Nr  r  r   r   rU   r4   rN   r   r2   rD  r  r<  )r   r   rj   r   rh   r6  r	   r   r.  s     rv   test_2DzTestIQR.test_2D  s    IIbM!!&)UYYq\3'599QQ/B@599QQ/B@599QV4c:599QV4c:rx   c                 2   t         j                  j                  d      }t        j                  |gdz        }t	        j
                  |      }t        t	        j
                  |d      |       t        j                  |dd      }t        t	        j
                  |d      |       |j                  dd	      }t        t	        j
                  |d
      |       |j                  dd	      }t        t	        j
                  |d      t	        j
                  |d              t        t	        j
                  |d      t	        j
                  |d             t        j                  d      }t         j                  j                  |       |j                  d      }t        t	        j
                  |d      d   t	        j
                  |d d d d d d df   j                                      t        t	        j
                  |d      d	   t	        j
                  |d d d d d	d d f   j                                      t        t	        j
                  |d      d   t	        j
                  |d d d d dd d f   j                                      t        t	        j
                  |d      d   t	        j
                  |dd d d d d d f   j                                      t        t	        j
                  |d      d   t	        j
                  |dd	d d d d f   j                                      t        t	        j
                  |d      d   t	        j
                  |dd d d d d	f   j                                      t        t	        j
                  |d      d   t	        j
                  |dd d dd d f   j                                      t        t        t        j
                  |d       t        t        t        j
                  |d       y )N)G   rK  r  r[   r  rU   ra   r   r  r   rB  rV  r   i  r2   r4   r6   r\   r   r   r2   )r2   r   rW  r1   )r2   r   r1   r2   r1   )r   r  )r   r2   r1   r1   r3   r  )r   r  r  dstackrh   r6  r   moveaxisswapaxesr   r  rj   r  r   r&   r   )rm   oro   qr  s        rv   r:  zTestIQR.test_axis  s   II(+IIqcBhIIaLUYYqv.2KK2q!UYYqv.2JJq!UYYqv.2JJq!UYYqy1YYqt,	.UYYqt,YYqq)	+ IIn% 			!IIm$UYYqy1!4YYq1Q{0023	5UYYqy1!4YYq1a{0023	5UYYqz215YYq1a{0023	5UYYqy1!4YYq1Qqz//12	4UYYqv.t4YYqAa{0023	5UYYqw/5YYqAq!}2245	7UYYqv.t4YYqAq|1134	6 	iAA6j%))QV<rx   c                    t        j                  d      }t        t        j                  |      d       t        t        j                  |d      d       t        t        j                  |d      d       t        t        j                  |d      d       t        t        t        j                  |d	       t        t        t        j                  |t         j                  d
f       t        t        t        j                  |d       y )Nr4   r1   )r  g     U@r  r<   )g      )@r  )r[   ry  g?)r   r<  r  )r   ry  <   )
r   r   r   rh   r6  r   r   r   rl   rv  r.  s     rv   test_rngzTestIQR.test_rng  s    IIaLUYYq\1%UYYqj137UYYqj137EIIaX6<j%))QH=j%))QRVVRLAiA;?rx   c                    t        j                  d      }t        j                  d      }t        t        j                  |      d       t        t        j                  |      d       t        t        j                  |d      d       t        t        j                  |d      d       t        t        j                  |d      d       t        t        j                  |dd	      d
       t        t        j                  |d      d       t        t        j                  |d      d       t        t        j                  |dd	      d       t        t        j                  |d      d       t        t        j                  |d      d       t        t        j                  |d      d       t        t        j                  |d      d       t        t        j                  |dd	      d       t        t        j                  |d      d       dD ]  }t        j                  ||        t        t        t        j                  |d       y )Nr4   r3   r1   r;   r9  r=  r(  )r  P   )r  r>  r2   r  r@  r   r?  r<   )inverted_cdfaveraged_inverted_cdfclosest_observationinterpolated_inverted_cdfhazenweibullmedian_unbiasednormal_unbiasedr   )r   r   r   rh   r6  r   r   )rm   ro   rp   rr  s       rv   test_interpolationzTestIQR.test_interpolation#  s   IIaLIIaLUYYq\1%UYYq\3'UYYq91=UYYq93?UYYq91=UYYqhhGKUYYq91=UYYq8!<UYYqhgFJUYYq8!<UYYq	:A>UYYq	:A>UYYq
;Q?UYYqhjI3OUYYq
;Q?* 	/F IIav.		/ 	j%))QhGrx   c                    t        j                  d      }t        t        j                  |d d      j
                  d       t        t        j                  |dd      j
                  d       t        t        j                  |dd      j
                  d       t        t        j                  |d	d      j
                  d
       t        t        j                  |dd      j
                  d       t        t        j                  |dd      j
                  d       t        t        j                  |dd      j
                  d       t        t        j                  |d d      j
                  d       t        t        j                  |dd      j
                  d       t        t        j                  |dd      j
                  d       t        t        j                  |d	d      j
                  d       t        t        j                  |dd      j
                  d       t        t        j                  |dd      j
                  d       t        t        j                  |dd      j
                  d       y )NrL  FrO  r   r1   )r2   r4   r\   r  )r6   r\   )r   r2   )r4   r6   )r   r-  r   r   r1   r2   ro  rM  r~   Tr  )r2   r4   r   r\   )r   r   r6   r\   )r   r4   r6   r   )r2   r   r6   r\   )r   r   r6   r   )r   r  r   rh   r6  r  r.  s     rv   rp  zTestIQR.test_keepdimsE  s   GGM"UYYqte<BBBGUYYqq59??LUYYqv>DDgNUYYqv>DDfMUYYqte<BBJOUYYq,?EErJUYYqy5AGGNUYYqtd;AA<PUYYqq48>>NUYYqv=CC]SUYYqv=CC\RUYYqtd;AA=QUYYq,>DDlSUYYqy4@FFUrx   c           	      j   t        j                  d      j                  d      }t        t	        j
                  |d      d       t        t	        j
                  |d      d       t        t	        j
                  |d      d       t         j                  |d<   t        j                  d	
      5  t        j                  d       t        t	        j
                  |d      t         j                         t        t	        j
                  |dd      ddt         j                  ddg       t        t	        j
                  |dd      dt         j                  dg       d d d        t        j                  d	
      5  t        j                  d       t        t	        j
                  |d      d       t        t	        j
                  |dd      t        j                  dd             t        t	        j
                  |dd      g d       d d d        t        t        t        j
                  |d       t        t        t        j
                  |dd       t        t        t        j
                  |dd       t        t        t        j
                  |d       y # 1 sw Y   @xY w# 1 sw Y   xY w)N      .@r  r=  r   r6   r   r   rC  Tr   alwaysr   r>  r4   r   r1   rA   )r1   r<   r1   barfood)r   r   rj   r   rh   r6  rl   warningscatch_warningssimplefilterr   r   r   r.  s     rv   test_nanpolicyzTestIQR.test_nanpolicyX  s   IIdO##F+ 	UYYq[91=UYYqV4a8UYYqW5q9 &&$$$D1 	)!!(+1=!11EQ1-/11ERVVQ)	) $$D1 	O!!(+18#>11@"''!Q-P11@+N		O 	j%))Q7Cj%))QQ7Kj%))QQ7K 	j%))Q9E)	) 	)	O 	Os   1B-J<BJ)J&)J2c           	      J   t        j                  d      j                  d      }t        t	        j
                  |d      d       t        t	        j
                  |d      d       t        t	        j
                  |d      d	       t         j                  |d
<   t        j                  d      5  t        j                  d       t        t	        j
                  |dd      t         j                         t        t	        j
                  |dd      t         j                         t        t	        j
                  |dd      t         j                         t        t	        j
                  |ddd      dt         j                  dg       t        t	        j
                  |ddd      t        j                  dt         j                  dg      dz         t        t	        j
                  |ddd      dt         j                  dg       d d d        t        t	        j
                  |dd      d       t        t	        j
                  |dd      d       t        t	        j
                  |dd      d       t        t        t        j
                  |d       y # 1 sw Y   xY w)Nrf  r  r   r  r6   r  g=V^w@rD  r=   rC  Trg  rh  r=  )r  r   r   )rV   r  r   r1   gF7k?r   rA   g	I1=@g      @r   )r   r   rj   r   rh   r6  r   rl   rj  rk  rl  r   r   r   r.  s     rv   
test_scalezTestIQR.test_scalex  s   IIdO##F+ 	UYYq,a0EIIax8-HUYYq,c2 &&$$$D1 	)!!(+1CKH"&&Q1HMrvvV1CKH"&&Q11C.9;=>NL		!!85@!B "!RVVQ 89 DF 11CKPRVVQ)	)" 	UYYq?EEIIaxFK+	-UYYq?F 	j%))Qh?/	) 	)s   1EJJ"N)r   r   r   r#  r:  r,  r  r  r   r   r@  rD  rF  rH  r:  rW  rb  rp  rm  rp  r   rx   rv   r4  r4    sw    )

B [[S2yryy|"45/ 6/F,?;'=R	@ HDV&F@!@rx   r4  c            	       &   e Zd ZdZg dZdZej                  j                  d       ej                  j                  d      Z
ddddZeej                  j                  d	d
dg      ej                  j                  d edd            d                      Zeej                  j                  d	d
dg      ej                  j                  dd      d                      Zed        Zd Z edd      ej                  j-                  d      eej                  j                  dg d      ej                  j                  dddg      d                                    Z edd      ej                  j-                  d      ed                       Zed!        Zed"        Zd# Zeej                  j                  d$g d      ej                  j                  d%g d&      ej                  j                  d'dd(g      d)                             Zy)*TestMomentsa  
        Comparison numbers are found using R v.1.5.1
        note that length(testcase) = 4
        testmathworks comes from documentation for the
        Statistics Toolbox for Matlab and can be found at both
        https://www.mathworks.com/help/stats/kurtosis.html
        https://www.mathworks.com/help/stats/skewness.html
        Note that both test cases came from here.
    r  r     r  N)r  r3  c                    t        j                  |      }|t        j                  ||      }t        ||       ||j                  }|j                  |k(  sJ y r  )r   re   broadcast_tor	   r3  )rm   r  expectr  r3  s        rv   _assert_equalzTestMoments._assert_equal  sP    F#__VU3F66*=LLE||u$$$rx   r  r[   )r[   r1   zm, crd  )Nr   r   c                 P   t         j                  j                  d      }|j                  |j                  |            }t	        j
                  |||      }||j                  |d      n|}|j                  ||z
  |z  d      |j                  d   z  }t        ||d       y )Nl   rHZ r  r*  r   rU   缉ؗҜ<r  )
r   r  r  re   rh   momentrk   r  r  r/   )	rm   r  r?  r  rn   r  ro   r   r  s	            rv    test_moment_center_scalar_momentz,TestMoments.test_moment_center_scalar_moment  s     ii##$78JJszztz,-ll1a*"#)BGGAAGffa!eaZaf(3Su-rx   r  c           
      |   t         j                  j                  d      }|j                  |j                  |            }g d}t	        j
                  |||      }t        |      }|j                  |D 	cg c])  }	t	        j
                  ||	|      |j                  df   + c}	      }
t        ||
       y c c}	w )Nl   %~.}~= r  rd  r*  .)
r   r  r  re   rh   rz  r)   r  newaxisr0   )rm   r  r  rn   r  ro   r?  r   r   r  r  s              rv   test_moment_center_array_momentz+TestMoments.test_moment_center_array_moment  s     ii##$78JJszztz,-ll1a*!!$nn'(*"# $ll1a:7??C;OP * +S!*s   7.B9c                    j                  | j                        }t        j                  j                  | j                              }t        |j                  d             t        j                  |d      }t        |j                  d             t        j                  |d      }t        |j                  d             t        j                  |d      }t        |j                  d             t        j                  |d      }t        |j                  d             t        j                  |d      }t        |j                  d	             t        j                  |g d
      }t        |j                  g d             t        j                  |d      }t        |j                  d             d}t        j                  t        |      5  t        j                  |d       d d d        t        j                  |g d      }t        |j                  g d             fd}t              r,t        j                  t        d      5   |        d d d        y t        j                  j                         5 }|j                  t         d       |j                  t         d        |        d d d        y # 1 sw Y   xY w# 1 sw Y   y xY w# 1 sw Y   y xY w)Nr   r   r   r   r1         ?r2   r3        @rW  )r   r  r   r  z)All elements of `order` must be integral.r   333333?)r   r1   r2   r   c                      t        j                  j                  g             } t        | j                  j                               t        j                  j                  g j
                              } t        | j                  j                  j
                               t        j                  j                  d      d      } t        | j                  d             t        j                  j                  g g      d      } t        | j                  j                  g             t        j                  j                  g g      ddgd      } t        | j                  d             y )	Nr5  r<  r   rU   rK  r   orderrV   )r1   r   )rh   rz  re   r0   rl   r   r  r  )rp   rn   s    rv   
test_casesz+TestMoments.test_moment.<locals>.test_cases  s   RZZ^,AArzz"&&12RZZ"**Z=>AArzz"&&

zCDRXXf-A6AArxx~.RZZ-A6AArzz266(34RZZ-aV!DAArxx/0rx   zSee documentation for...zMean of empty slice.zinvalid value)re   r  rh   rz  r  r/   r,  r   r   r+   r-  r   r   r  r   r   r   )rm   rn   r  rp   rt  r  r   s    `     rv   test_momentzTestMoments.test_moment  s$    ::dmm,LLD$8$89:2::c?+LL1%2::c?+LL1%2::c?+LL1%2::d+,LL1%2::c?+LL1%2::f-. LL<02::&:;< LL3'2::c?+=]]:W5 	(LL3'	(LL#342::&:;<
	1 B<08RS   --/ 3

>+AB

>?; -	( 	(&  s$   K	K4K!	KK!K*c                 v   t        j                  d      }t         j                  |d<   t        t	        j
                  |d      t         j                         t        t	        j
                  |d      d       t        t        t        j
                  |d       t        t        t        j
                  |d       y )	Nr   r8   r1   r   r   r   r   r   )	r   r   rl   r   rh   rz  r   r   r   r.  s     rv   r1  zTestMoments.test_nan_policy  sn    IIcNvv!U\\!Q'0ELLv>Dj%,,gFj%,,hGrx   ry   rz   rE   rH   r3  )r   r   
complex128zexpect, orderr  r<  c                    |dk(  rt        |      rt        j                          t        ||      }|j	                  t
        j                  j                  d      |      }t        j                  ||      }t        ||j	                  ||             t        j                  |j                  |d      d|      }t        ||j                  d||             t        j                  |j                  |d	      d
|      }t        ||j                  d||             t        j                  |j                  |d	      d |      }t        ||j                  d||             y )Nr  r4   r5  r  )r5   r4   r   )rV   r  )r4   r  r1   )r   r1   r3   r4   r   )r,   r,  skipr6  re   r   r  r3  rh   rz  r0   ru  r   )rm   r3  rv  r  rn   ro   rp   s          rv   test_constant_momentsz!TestMoments.test_constant_moments
  s    ,8B<KKME"JJryy~~a(J6LL%(2::fE::;LLF3!5I2774u7=>LLO<1$&277<u7EFLLO<4$&2772vU7;<rx   rC   r  c                     |j                  |j                  d      d      }t        j                  |d<   t	        j
                  |dd      }t        ||j                  dt        j                  g      d	       y )
Nr   r  r<  r1   r   rU   r  r  r  )rj   r   r   rl   rh   rz  r/   re   )rm   rn   r  mms       rv   test_moment_propagate_nanz%TestMoments.test_moment_propagate_nan"  sX     JJryy}g.&&$\\!QQ'BJJbff~6UCrx   c                     t        j                  t        d      5  t        j                  |j                  g d      g        d d d        y # 1 sw Y   y xY w)Nz1`order` must be a scalar or a non-empty 1D array.r   rW  r  )r,  r   r   rh   rz  re   rm   rn   s     rv   test_moment_empty_orderz#TestMoments.test_moment_empty_order.  sE     ]]: .E F 	=LLL1<	= 	= 	=s   )AAc                     |j                  d      }t        j                  |d      }t        j                  |d      }t        ||       y )Nr[   r2   )rz  r  )r   rh   rz  r0   )rm   rn   ro   r   r  s        rv   test_rename_moment_orderz$TestMoments.test_rename_moment_order5  s;     IIbMll1Q'll1A&S!rx   c                     | j                   t        j                  | j                         z
  }t        t        j                  |d      j                         t        j                  | j                   d             y )Nr  )testcase_moment_accuracyr   rk   r   r   rh   rz  )rm   
tc_no_means     rv   test_moment_accuracyz TestMoments.test_moment_accuracy>  sY     33 = =>?
R0557T%B%BBG	Irx   r  rV   r  r&  r   c                 
   t         j                  j                  d      }|j                  d      }t        j                  |j                  |      |||      }|j                  t        ||||            }t        ||       y )Nl   hU~)r4   r5   r6   r  )rV   r&  )rk   )r   r  r  rh   rz  re   r!   r/   )	rm   rn   r  rV   r&  r  ro   r   r  s	            rv   test_moment_array_apiz!TestMoments.test_moment_array_apiF  sg    
 ii##N3JJIJ&ll2::a=%d6JjjE4f=>S!rx   )r   r   r   r   r  r  r   r  r(  r3  r  rw  r'   r,  r  r  r   r{  r~  r  r1  rH   usefixturesr  r  r  r  r  r  r   rx   rv   rr  rr    s@     HOIINN4!yy~~b159 % [[Vb']3[[VW\<%HI. J 4 . [[Vb']3[[S,/" 0 4 " 3 3jH f%56[[/0[[W&JK[[_vv.>?= @ L  1 7
=& kHJ[[/0D  1JD = = " "I [[Wl3[[VZ0[[Xay1" 2 1 4 "rx   rr  c                        e Zd ZdZg dZg dZy)SkewKurtosisTestr   r  )gp=
ף?g?߾?gD9?gQI?g}?5^IN)r   r   r   r  r  testmathworksr   rx   rv   r  r  R  s    OH<Mrx   r  c            	          e Zd Zeej
                  j                  dej                  ej                  g      d               Z
 edd      ej
                  j                  d      ed                      Zd Zd	 Z edd      ej
                  j                  d      ed
                      Zed        Z edd      ej
                  j                  d      ed                      Z edd      ej
                  j                  d      eej
                  j                  dg d      ej
                  j                  dddg      d                                    Zy)TestSkewstat_func                    |j                  g       }t        |      r1t        j                  t        t
              5   ||      }d d d        n[t        j                  j                         5 }|j                  t        d       |j                  t        d        ||      }d d d        t        |j                  |j                               y # 1 sw Y   /xY w# 1 sw Y   ;xY w)Nr   Mean of empty slicezinvalid value encountered)re   r+   r,  r-  r   r   r   r  r   r   r   r0   rl   )rm   r  rn   ro   r   r   s         rv   test_empty_1dzTestSkew.test_empty_1dY  s     JJrNB<08MN "qk" " --/ "3

>+@A

>+FGqk	"
 	RZZ/0" "" "s   	C,5CCC$rC   r  rE   rH   c                 p   t        j                  |j                  | j                              }t	        ||j                  |j
                               t        j                  |j                  | j                              }t	        ||j                  d      d       t        j                  |j                  | j                        d      }t	        ||j                  d      d       t        j                  |j                  | j                              }t	        ||j                  d      d       y )Ng7l*ҿ绽|=r  r   biasg2۠ۿr   )rh   skewre   r  r/   rl   r  r  )rm   rn   rp   s      rv   test_skewnesszTestSkew.test_skewnessh  s     JJrzz$"6"6782::bff-. JJrzz$"4"4562::&78uEJJrzz$"4"45A>2::&89FJJrzz$--012::c?7rx   c                    t        j                  d      }t         j                  |d<   t        j                  d      5  t	        t        j                  |      t         j                         d d d        t	        t        j                  |d      d       t        t        t
        j                  |d       t        t        t
        j                  |d	       y # 1 sw Y   mxY w)
Nr   r8   r  r  r   r   r   r   r   )	r   r   rl   r  r   rh   r  r   r   r.  s     rv   r1  zTestSkew.test_nan_policyy  s    IIcNvv![[* 	0A/	0UZZf5r:j%**aGDj%**aHE		0 	0s   .CC"c                 T    t        t        j                  t        d            d       y )Nr[   r   )r   rh   r  r   r#  s    rv   test_skewness_scalarzTestSkew.test_skewness_scalar  s    UZZr
+S1rx   c                 :   |j                  d      }|j                  |d      }|j                  |d<   t        j                  d      5  t        j                  |d      }d d d        t        |j                  d|j                  g             y # 1 sw Y   1xY w)	Nr   r  r<  r  r  r   rU   r   )	r   rj   rl   r   r  rh   r  r0   re   )rm   rn   r  r  s       rv   test_skew_propagate_nanz TestSkew.test_skew_propagate_nan  sz     IIbMJJq'"&&$[[* 	&

11%A	&2::q"&&k23	& 	&s   	BBc                    t        j                  t        d      5  |j                  dgdz        }t	        t        j                  |      |j                  |j                               t	        t        j                  |dz        |j                  |j                               t	        t        j                  |dz        |j                  |j                               t	        t        j                  |d      |j                  |j                               |j                  dgd	z        }t	        t        j                  |      |j                  |j                               d
|j                  dd      dz  z   }t	        t        j                  |      |j                  |j                               d d d        y # 1 sw Y   y xY w)NPrecision loss occurredr   9ѿr[   g      CFr  g,@r6   r         r3   ry  )	r,  r-  r   re   r0   rh   r  rl   r   rm   rn   r  s      rv   test_skew_constant_valuez!TestSkew.test_skew_constant_value  s4    \\.0IJ 	?

K=+,AEJJqM2::bff+=>EJJqx0"**RVV2DEEJJqx0"**RVV2DEEJJqu5rzz"&&7IJ 

D6!8$AEJJqM2::bff+=>RYYsA&u,,AEJJqM2::bff+=>	? 	? 	?s   FG  G	c                     t        j                  t        d      5  t        j                  j                  d      }|j                  |j	                  d            }d|d d df<   t        j                  |       d d d        y # 1 sw Y   y xY w)Nr  r   l   :"z` )r~  r[   r  )\(?r   )	r,  r-  r   r   r  r  re   rh   r  )rm   rn   r  r  s       rv   test_precision_loss_gh15554z$TestSkew.test_precision_loss_gh15554  sm     \\.0IJ 	))''4C

3::9:56AAadGJJqM		 	 	s   ABBrV   ra   r   r1   Nr  FTc                     t         j                  j                  d      }j                  |j                  d            }fd}t	        j
                  |||      } ||||      }t        ||       y )N   f#"rf  c                 $   |	j                  | d      } d}t        |       }|j                  | |d      }|j                  | |z
  dz  |      }|j                  | |      }||dz  z  }|s#| j                  |   }||dz
  |z  dz  |d	z
  z  z  }|S )
Nr  r   TrO  r2   rU   r   r:   rD  )rj   r)   rk   r   r  )
r  rV   r  r   rk   mu3r   r   r@  rn   s
            rv   skewnessz-TestSkew.test_vectorization.<locals>.skewness  s    |JJq%(%a(G<<t<<D,,D1}4,8C++ad++Cq.CGGDMSA#-S99Jrx   )rV   r  )r   r  r  re   rh   r  r/   )	rm   rn   rV   r  r  ro   r  r   r  s	    `       rv   test_vectorizationzTestSkew.test_vectorization  sa     ii##M2JJszz),-	 jjD1qt$/S!rx   N)r   r   r   r'   r,  r  r  rh   r  kurtosisr  rH   r  r  r1  r  r  r  r  r  r   rx   rv   r  r  X  s   [[Z%**enn)EF1 G 1 kHJ[[/08  1J8F2 kHJ[[/04  1J4 ? ? kHJ[[/0  1J kHJ[[/0[[V%56[[VeT]3" 4 7  1J"rx   r  c            
          e Zd Z edd      ej
                  j                  d      ed                      Zd Z	d Z
d Zed	        Z edd      ej
                  j                  d      eej
                  j                  d
g d      ej
                  j                  dddg      ej
                  j                  dddg      d                                           Zy)TestKurtosisrC   r  rE   rH   c                 >   t        j                  |j                  | j                              }|j	                  |      sJ t        j                  |j                  | j
                        ddd      }t        ||j                  d             t        j                  |j                  | j
                        dd      }t        ||j                  d             t        j                  |j                  | j                        dd      }t        ||j                  d             |j                  d      }|j                  |dk(  |j                  |j                        |      }t        t        j                  |      |j                  |j                               y )	Nr   r   fisherr  gO߻S@gx|N@g=
ףp=?r   r7   )rh   r  re   r  r  r  r/   r  r   r  rl   r0   )rm   rn   rp   ro   s       rv   test_kurtosiszTestKurtosis.test_kurtosis  s"    NN2::d&:&:;<xx{{ NN2::d&8&891QQO2::o67 NN2::d&8&89!!L2::&789NN2::dmm4a;2::d+,IIcNHHQ!VRZZ/3q)2::bff+=>rx   c                    t        j                  d      }t         j                  |d<   t        t	        j
                  |d      d       t        t        t        j
                  |d       t        t        t        j
                  |d       y )Nr   r8   r   r   Gzr   r   )r   r   rl   r   rh   r  r   r   r.  s     rv   test_kurtosis_nan_policyz%TestKurtosis.test_kurtosis_nan_policy  sU    IIcNvv!ENN1@)Lj%..!Hj%..!Irx   c                 t    t        t        t        j                  g d            t        j
                         y )Nrm  )r   typerh   r  r   r   r#  s    rv   test_kurtosis_array_scalarz'TestKurtosis.test_kurtosis_array_scalar   s    T%..34bjjArx   c                 .   t        j                  d      j                  dd      j                  t              }t         j
                  |d<   t        j                  |dd      }t         j                  j                  |dt         j
                  gd	
       y )Nr7   r1   ra   r<  r   r=  r>  g(\r  r  )
r   r   rj   r  r  rl   rh   r  r  r   )rm   r  r5  s      rv   test_kurtosis_propagate_nanz(TestKurtosis.test_kurtosis_propagate_nan  si     IIaL  B'..u5&&$NN11=


""1ubffoE"Brx   c           	         |j                  dgdz        }t        j                  t        d      5  |j	                  t        j                  |d            sJ |j	                  t        j                  |t        d      z  d            sJ |j	                  t        j                  |t        d      z  d            sJ |j	                  t        j                  |dd            sJ 	 d d d        y # 1 sw Y   y xY w)	Nr  r[   r  r   F)r  l           r  )re   r,  r-  r   r  rh   r  r  r  s      rv   test_kurtosis_constant_valuez)TestKurtosis.test_kurtosis_constant_value  s     JJ}R'(\\.0IJ 	I88ENN1U;<<<88ENN1uU|+;EJKKK88ENN1uU|+;EJKKK88ENN1UGHHH		I 	I 	Is   B:C55C>rV   r  r  FTr  c                     t         j                  j                  d      }j                  |j                  d            }fd}t	        j
                  ||||      } |||||      }	t        ||	       y )Nr  rA  c                 f   |
j                  | d      } d}t        |       }|j                  | |d      }|j                  | |z
  dz  |      }|j                  | |d      }|r||dz  z  d	z
  }n8| j                  |   }	|	d
z
  |	dz
  |	d	z
  z  z  |	d
z   |z  |dz  z  d	|	d
z
  z  z
  z  }|r|S |d	z   S )Nr  r   TrO  r3   rU   rV   r}   r1   r2   r   )rj   r)   rk   r   r  )r  rV   r  r  r   rk   mu4mu2r   r@  rn   s             rv   r  z1TestKurtosis.test_vectorization.<locals>.kurtosis$  s    |JJq%(%a(G<<t<<D,,D1}4,8C++adq+9CCFlQ&GGDMs!!}-!a%3sAv1E1Q31OP !3-cAg-rx   )rV   r  r  )r   r  r  re   rh   r  r/   )
rm   rn   rV   r  r  r  ro   r  r   r  s
    `        rv   r  zTestKurtosis.test_vectorization  se     ii##M2JJszz),-	.( nnQTVDqt$v>S!rx   N)r   r   r   rH   r,  r  r  r'   r  r  r  r  r  r  r  r   rx   rv   r  r    s    kHJ[[/0?  1J?>JBC I I kHJ[[/0[[V%56[[VeT]3[[Xt}5" 6 4 7  1J"rx   r  c                    t        dd      }t        j                  dd      } | t        j                  t        j
                  ||            }g }t        j                         5  t        j                  d       t        t        |j                              D ]  }t        j                  t              5  t        j                   |d|      }t	        j"                  |d	kD        r9t	        j"                  t	        j$                  |            r|j'                  |       d d d         	 d d d        t)        j*                  |        | t(        j,                  j/                  |            }||fS # 1 sw Y   xY w# 1 sw Y   SxY w)
NF)	allow_nanallow_infinityr   r1   )min_dimsmin_side)r3  elementsr  errorr  r   )dictnpstarray_shapesarraysr   r   rj  rk  rl  r  rd  r  
contextlibsuppress	Exceptionrh   rz  r  r  r  
hypothesisassume
strategiessampled_from)drawr  r  rb  ok_axesrV   r   s          rv   ttest_data_axis_strategyr  =  s3    eE:Hq15E "**xuMND G 
	 	 	" )g&#djj/* 	)D$$Y/ )ll4qt<66#'?rvvbkk#.>'?NN4() )	)) g 
%%227;<D:) )) )s&   'AE>7A*E2!
E>2E;7E>>FUses NumPy for pvalue, CIr  rF   c                      e Zd Zg dZg dZdZdZdZdZdZ	dZ
d	ZdZed
z  Zded
z  z
  Zd Zd Zd Zej&                  j)                  dg d      d        Zd Zej&                  j.                   ej2                  ej4                  j7                  dd       e             ej&                  j)                  dddg      d                      Zy)TestStudentTestr  r   r   )r   r   rD  r   r   gMXzg4/?gMXzgFX5t?gMXz?r1   r   c                 *   t               5 }t        j                  dd      5  |j                  t        d       t        |      s|j                  d      nd}t        j                  |d      \  }}d d d        d d d        t        |j                  |j                               t        |j                  |j                               t        j                  |j                  | j                        d      \  }}t        ||j                  | j                               t        ||j                  | j                               t        j                  |j                  | j                        d      }d}t        |||       t        j                  |j                  | j                         d      \  }}t        ||j                  | j"                               t        ||j                  | j$                               t        j                  |j                  | j                        d	      \  }}t        ||j                  | j&                               t        ||j                  | j(                               t        j                  |j                  | j                        d
      \  }}t        ||j                  | j*                               t        ||j                  | j,                               y # 1 sw Y   xY w# 1 sw Y   xY w)Nr  r  divide!Degrees of freedom <= 0 for slicer   r  r   r
  r	  rn   r   rD  )r   r   r  r   r   r+   re   rh   ttest_1sampr0   rl   X1r/   T1_0P1_0r   X2T2_0P2_0T1_1P1_1T1_2P1_2)rm   rn   r   r  tr0  r   r  s           rv   test_onesamplezTestStudentTest.test_onesampler  s      	,CHX>	,JJ~'JK&.rl

2A$$Q+DAq		, 	,
 	2::bff-.2::bff-.  DGG!4b912::dii012::dii01

477 3R8,
C3  DGG!4b912::dii012::dii01  DGG!4b912::dii012::dii01  DGG!4b912::dii012::dii01;	, 	, 	, 	,s#   LAK;1L;L	 LLc                    t        |      s^|j                  ddd|j                  g      }d}t        j                  t
        |      5  t        j                  |dd       d d d        y t        j                  j                  dd	d
d      }t        j                  |d<   t        j                  d      5  t        t        j                  |d      t        j                  t        j                  f       t        t        j                  |dd      d       t        t        t        j                  |dd       t        t        t        j                  |dd       d d d        y # 1 sw Y   y xY w# 1 sw Y   y xY w)Nr   rD  r  %Use of `nan_policy` and `keepdims`...r   r   r   r4   r[   3   it r  r  r  r  ry  r  r  rN   )g̈́^Bg/kCm?r   r   )r+   re   rl   r,  r   NotImplementedErrorrh   r  r  r  r   r  r	   r   r   r   )rm   rn   ro   rt  s       rv   test_onesample_nan_policyz)TestStudentTest.test_onesample_nan_policy  s   |

BB/0A=G2'B <!!!RF;<JJNNq'NJ"[[* 	/u00C8266266:JK%e&7&736&R&QS*e&7&7CGT*e&7&7C%-/	/ 	/<	/ 	/s   E$6B%E0$E-0E9c                    d}t        j                  t        |      5  t        j                  |j                  | j                        dd       d d d        t        j                  |j                  | j                        dd      \  }}t        ||j                  | j                               t        ||j                  | j                               t        j                  |j                  | j                        dd      \  }}t        ||j                  | j                               t        ||j                  | j                               y # 1 sw Y   xY w)	N8`alternative` must be 'less', 'greater', or 'two-sided'.r   r   r  rX  r   rR  rT  )r,  r   r   rh   r  re   r  r/   P1_1_lr  P1_1_g)rm   rn   rt  r  r0  s        rv   test_1samp_alternativez&TestStudentTest.test_1samp_alternative  s    L]]:W5 	Lbjj127K	L   DGG!4bfM12::dkk232::dii01  DGG!4biP12::dkk232::dii01	L 	Ls   2EErY  r  c                    t         j                  j                  d      }d}|j                  |dd      }|j                         }t	        |      r|j
                  n|j                  }|j                  ||      }|j                  ||      }ddgd	t         j                  gt         j                   d
gd}t        j                  |||      }	|	j                  d      }
t        |
j                  |j                  ||   d                t        |
j                  |j                  ||   d                t        |	j                   |j                  |dz
               y )Nl   <PleH r[   r;   r1   r  r  r  r5  gÍ]?g$(}w@gS1?g]@rP  rT  rR  )popmeanrY  333333?confidence_levelr   r   )r   r  r  r  r,   r   r   re   r  rh   r  rF  r/   rI  rJ  r0   df)rm   rn   rY  r  r@  ro   r  r3  r  r   rb  s              rv   test_1samp_ci_1dz TestStudentTest.test_1samp_ci_1d  s(    ii##$78JJA3aJ0**, 'rl



JJqJ&**WE*2/1CD-rvv6!235 7L$$d$;

3{+;A+> ?@C,<Q,?!@A

1Q30rx   c                     t        j                  |j                  d      d      }d}t        j                  t
        |      5  |j                  d       d d d        y # 1 sw Y   y xY w)Nr   r   4`confidence_level` must be a number between 0 and 1.r   r[   r  )rh   r  r   r,  r   r   rF  )rm   rn   r   rt  s       rv   test_1samp_ci_ivz TestStudentTest.test_1samp_ci_iv  sU    		#3H]]:W5 	9##R#8	9 	9 	9s   AA(r  g?)alpha	data_axisrR  rT  c                    |\  }}|j                  |      }t        j                  |d||      }|j                  |      \  }}	|dk(  r|n|	}
t	        |      }|j                  |
|      }
t        j                  ||
||      }t        |j                        }|j                  |       |j                  |j                  d|z
  |j                        |      }t        |j                  |       y )Nr   r  r  rT  rU   r   r5  )re   rh   r  rF  r)   r  r  r  rh  ru  r   r/   r	  )rm   r  r  rY  rn   rb  rV   r   lri  r  r   r  r  s                 rv   test_pvalue_cizTestStudentTest.test_pvalue_ci  s     
dzz$b,7dD&&&>1"i/!Q!!$%%gD%9g;TRTZZ 		$oobjj5

jCUK

C(rx   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  givenr  floatsr  r  r   rx   rv   r  r  \  s     
B	BDDDDDDDDAXF$(^F2@/(2 [[],LM1 N109 [[ZJ1188H 8 :<[[]VY,?@) A< )rx   r  c                      e Zd Zd Zej
                  j                  dg d      d        Zej
                  j                  dg d      d        Zej
                  j                  dg d      d        Z	ej
                  j                  dg d	      d
        Z
ej
                  j                  dg d      d        Zej
                  j                  dg d      d        Zej
                  j                  dg d	      d        Zej
                  j                  ddg dfdg dfdg dfdg dfg      d        Zej
                  j                  ddg dfdg dfdg dfdg dfg      d        Zdg dej"                  fdej"                  gdej"                  fdej"                  gg dej"                  ej"                  ej"                  gfdddgddej"                  gddej"                  gfd ddej"                  gg dg d!fd ddgd"dej"                  gd"dej"                  gfd ej"                  ej"                  gg dej"                  ej"                  ej"                  gfgZej
                  j                  d#e      d$        Zd%ddd&ej"                  gg d'd(fd%g d'ddd&ej"                  gd(fgZej
                  j                  d)e      d*        Zej
                  j                  d+g d,      d-        Zy.)/TestPercentileOfScorec                 ,    t        j                  |i |S r  )rh   percentileofscore)rm   argskwargss      rv   fzTestPercentileOfScore.f  s    &&777rx   zkind, result))rS  r{  )rk   #   strictrz  )weakr{  c                 H    g d}t        | j                  |d|      |       y )N
r   r1   r2   r3   r4   r5   r6   r7   r8   r[   r3   kindr   r(  rm   r0  ra  r  s       rv   test_uniquez!TestPercentileOfScore.test_unique  s"    
 ,TVVAqtV,f5rx   ))rS  r  )rk   r{  r*  )r,  ry  c                 H    g d}t        | j                  |d|      |       y )N)
r   r1   r2   r3   r3   r4   r5   r6   r7   r8   r3   r/  r1  r2  s       rv   test_multiple2z$TestPercentileOfScore.test_multiple2  "    
 +TVVAqtV,f5rx   ))rS  ry  )rk   r  r*  )r,  rV  c                 H    g d}t        | j                  |d|      |       y )N)
r   r1   r2   r3   r3   r3   r4   r5   r6   r7   r3   r/  r1  r2  s       rv   test_multiple3z$TestPercentileOfScore.test_multiple3  r6  rx   ))rS  rz  )rk   rz  r*  )r,  rz  c                 H    g d}t        | j                  |d|      |       y )N)
r   r1   r2   r4   r5   r6   r7   r8   r[   r\   r3   r/  r1  r2  s       rv   test_missingz"TestPercentileOfScore.test_missing  s"    
 -TVVAqtV,f5rx   c                 H    g d}t        | j                  |d|      |       y )N
r[   r  rz  r{  ry  rV  F   rY  r8  r~  r{  r/  r1  r2  s       rv   r  z(TestPercentileOfScore.test_large_numbers  s"    
 6TVVArV-v6rx   c                 H    g d}t        | j                  |d|      |       y )N)
r[   r  rz  r{  r{  r{  ry  rV  r=  rY  r{  r/  r1  r2  s       rv   test_large_numbers_multiple3z2TestPercentileOfScore.test_large_numbers_multiple3  s"    
 5TVVArV-v6rx   c                 H    g d}t        | j                  |d|      |       y )N
r[   r  rz  ry  rV  r=  rY  r8  r~  n   r{  r/  r1  r2  s       rv   test_large_numbers_missingz0TestPercentileOfScore.test_large_numbers_missing  s"    
 7TVVArV-v6rx   rS  )r   r[   r~  r~  rk   )r   r4   _   r~  r+  )r   r   r8  r~  r,  c                 L    g d}t        | j                  |g d|      |       y )NrA  )r   r[   rB  r  r/  r1  r2  s       rv   test_boundariesz%TestPercentileOfScore.test_boundaries&  s#    
 7TVVA0tV<fErx   )r   r[   r~  )r   r4   rD  )r   r   r8  c           
          ddddddddd	t         j                  g
}t        | j                  |t         j                   dt         j                  g|
      |       y )Nr   r1   r2   r3   r4   r5   r6   r7   r8   r/  )r   r  r   r(  r2  s       rv   test_infzTestPercentileOfScore.test_inf.  sP    
 1aAq!Q0TVVARVVG44V@&Irx   r=  r   rV  r1   ry  r~  r   )r   ry  r~  r   zpolicy, a, score, resultc                 @    t        | j                  |||      |       y )Nr   r1  )rm   policyr  r9  ra  s        rv   test_nans_okz"TestPercentileOfScore.test_nans_ok>  s    TVVAuV8&Arx   r   r2   rm  r   zpolicy, a, score, messagec                 x    t        t        |      5  | j                  |||       d d d        y # 1 sw Y   y xY w)Nr   r   )r   r   r(  )rm   rJ  r  r9  rt  s        rv   test_nans_failz$TestPercentileOfScore.test_nans_failI  s3    :W5 	0FF1eF/	0 	0 	0s   09r  ))r5   r  r1   r   r2   )r1   r   r   r2   c                     t        j                  g d      }|j                  |      }|dz  }g d}t        | j	                  ||d      |       y )N)r   r   r1   r2   r3   r4   r[   r.  rS  r/  )r   r   rj   r   r(  )rm   r  r  r  resultss        rv   test_ndzTestPercentileOfScore.test_ndN  sH     HH'(5!)+TVVAvFV3W=rx   N)r   r   r   r(  r,  r  r  r3  r5  r8  r:  r  r?  rC  rF  rH  r   rl   casesrK  rM  rQ  r   rx   rv   r#  r#    sf   8 [[^ .< =6	=6 [[^ .< =6	=6 [[^ .< =6	=6 [[^ .< =6	=6 [[^ .< =7	=7 [[^ .< =7	=7 [[^ .< =7	=7 [[^v7H.I/5.G/7.I/57H.I.K LF	LF [[^v|.D/5z.B/7.D/5|.D.F GJ	GJ 2q"&&)BFF8Q/BFF8Y0HIAq6Aq"&&>BRVV3DEq!RVVni>q!fq!RVVnq"bffo>rvvrvv&	BFFBFFBFF3KLNE [[7?B @B 
1aBFF#Y	(	*	)aArvv.	(	*E [[8%@0 A0 [[W ' >>rx   r#  Case)f_obsf_expr  rV   chi2r  mod_logcr)r3   r7   r]   r7   r3   r1   r:   r]   r;   r7   rD  r  gfx(@)r1   r   r]   r1   r  r   r         ?g{T4@)r2   r4   r6   r8   r   r   r   c                   <   e Zd Zd Zej
                  j                  de      ej
                  j                  dg d      d               Zd Z	d Z
ej
                  j                  de      ej
                  j                  dg d      d	               Zd
 Zd Zd Zy)TestPowerDivergencec                 :   |j                  d      j                  }|j                  ||      }||j                  ||      n|}|t        |      }	n4t        |      }
||
j	                  ||      n|f}|d   j
                  |   }	t               5 }|j                  t        d       t        j                  |||||      \  }}t        ||j                  ||             |dk(  s|dk(  r9t        j                  ||||      \  }}t        ||j                  ||             d d d        t        j                   |      }t        j                  j                  j!                  ||	dz
  |z
        }t        |j                  ||             y # 1 sw Y   lxY w)	Nr   r5  r   r  rT  rU  r  rV   lambda_r   pearson)rT  rU  r  rV   )re   r3  r-   r)   broadcast_arraysr  r   r   r   rh   power_divergencer/   	chisquarer   distributionsrV  sf)rm   rT  rU  r  rV   r_  expected_statrn   r3  num_obsr   r  r   statr0  
expected_ps                   rv   check_power_divergencez*TestPowerDivergence.check_power_divergence  s   

2$$

5
.272C

5
.<enG%e,G@E@Qg..ue<!8 Qiood+G  	NCJJ~'<=,,&+5t%)7<GD! D"**]%*"HI!|w)3//U/35abjjej&LM	N zz$((--00181t1CE
2::j:>?!	N 	Ns   BFFcaselambda_stat))NrV  r`  rV  )r   rV  log-likelihoodr  mod-log-likelihoodrW  cressie-readrX  r  rX  c           	          |\  }}t        ||      }| j                  |j                  |j                  |j                  |j
                  |||       y r  )r6  rj  rT  rU  r  rV   rm   rk  rl  rn   r_  attrrf  s          rv   r#  zTestPowerDivergence.test_basic  sG     $d+##DJJ

DIItyy$+]B	@rx   c           	         t         d   }t         d   }t        j                  |j                  |j                  f      }t        j                  t        j                  |j                        t        j
                  |j                        z  |j                  f      }|j                  |      }||j                  |      n|}| j                  ||ddd|j                  |j                  g|       | j                  ||ddd|j                  |j                  g|       | j                  ||ddd|j                  |j                  g|       | j                  ||ddd|j                  |j                  g|       |j                  |j                  |j                        d      }| j                  |d dd d|j                  |       y )	Nr   r   r`  r  ro  rq  rs  rO  )power_div_1d_casesr   r  rT  	ones_likerk   rU  re   rj  rV  r  rW  rX  rj   )rm   rn   case0case1rT  rU  f_obs_reshapes          rv   r:  zTestPowerDivergence.test_axis  s   "1%"1%		5;;45		2<<4RWWU[[5II ;;( ) 

5!%*%6

5!E##eQ5::uzz2r 	$ 	; 	##eQ%))UYY!7B 	$ 	@ 	##eQ#emmU]]%C 	$ 	L 	##eQ%((3 	$ 	<
 

2::ekk#:FC##dAt%** 	$ 	-rx   c                    t         d   }t         d   }t        j                  |j                  |j                  f      j                  }t        j                  t        j
                  |j                        t        j                  |j                        z  |j                  f      j                  }|j                  |j                  g}|j                  d      j                  }|j                  ||      }|j                  ||      }|j                  ||      }|j                  dgdgg      }t        j                  |||      \  }	}
t        |	|       t        j                  |||d         \  }}t        j                  |||d         \  }}t        |      }|j                  ||j                   d d f   ||j                   d d f   fd      }t        |
|       y )	Nr   r   r   r5  r  r  r<  rU   )ry  r   r  rT  r  rz  rk   rU  rV  re   r3  rh   rb  r/   r)   r  r}  )rm   rn   r{  r|  rT  rU  expected_chi2r3  r  rh  r0  stat0p0stat1p1r   ri  s                    rv   test_ddof_broadcastingz*TestPowerDivergence.test_ddof_broadcasting  s    #1%"1%		5;;4577		2<<4RWWU[[5II ;;( ))* 	 UZZ0

2$$

5
.

5
.

=
> zzA3*%((DAam, **5%d4jI	r**5%d4jI	r!%(^^R(:%;%'(:%;%=)* $ ,
 	:&rx   )rm  rn  rp  rr  rt  c           
          |\  }}t        ||      }t        j                         5  | j                  |j                  |j
                  |j                  |j                  |||       d d d        y # 1 sw Y   y xY wr  )r6  rj  rk  rj  rT  rU  r  rV   rv  s          rv   test_empty_casesz$TestPowerDivergence.test_empty_cases  sh     $d+$$& 	,''

DJJ		499,	, 	, 	,s   A A//A8c                 L   t         d   j                  }t         d   j                  }t         d   j                  }t         d   j                  }|j                  d      j                  }|j                  ||      }t        j                  ||||d      }d}t        |||       y )Nr   r   r5  r`  r^  r  r  )
ry  rT  rU  r  rV   re   r3  rh   rb  r   )	rm   rn   rT  rU  r  rV   r3  r   r  s	            rv   'test_power_divergence_result_attributesz;TestPowerDivergence.test_power_divergence_result_attributes  s    "1%++"1%++!!$))!!$))

2$$

5
. $$5D*.	C,
C3rx   c                 L   |j                  ddgddgg      }|j                  ddgddgg      }d}t        j                  t        |	      5  t	        j
                  ||j                  dd
g             d d d        t        j                  t        |	      5  t	        j
                  ||d       d d d        t	        j
                  ||      \  }}t        ||j                  ddg             t        ||j                  ddg             y # 1 sw Y   xY w# 1 sw Y   jxY w)Nr   r        >@rN   rf  g     A@g      9@For each axis slice...r         N@rT  rU  r   )rT  rU  rV   g̑m@gUUU@gj^4;?g4;?)re   r,  r   r   rh   rb  r/   )rm   rn   rT  rU  rt  rh  r]  s          rv   test_power_divergence_gh_12282z2TestPowerDivergence.test_power_divergence_gh_12282'  s    

S#Jc
34

RISz23*]]:W5 	N""bjj#s6LM	N]]:W5 	E""e!D	E++%uE
dbjj*j)ABCbjj*j)ABC	N 	N	E 	Es   )DDDD#c           	         |j                  g d      }d}|j                  d|j                  d   dz         }|j                  |j	                  |      |j	                  |j                  ||z              z        }|j                  |||z  z         }t        |      }|j                  ||j                  d d f   ||j                  d d f   f      j                  }|j                  g d      }	|j                  |	d      }	t        |	j                  d         D ]G  }|	|df   |	|df   }}
t        j                  |d d df   |d d df   |
      \  }}t        ||d	
       I y )N)rf  r2        ,@g      1@rN   r2  r   r   r   r   r   r   r2  r  r   r   r   r   g*kqr   r   ) g      $g    @r  g     r@r  gffffffP@g       gLD@r  g      A@r  g     =@r  g     :@r   g8@r:   gffffff7@gq=
ףp?g7@r   g333336@r;   g6@rD  gfffff6@r  g8@rN   g     A@r   g     j@)ra   r1   r   r_  g{Gzt?rZ  )re   r   r  r  r  expr)   r  r}  r  rj   r  rh   rb  r/   )rm   rn   obsbetar  r  expected_countsr   table4table5r_  rf  rh  r0  s                 rv   /test_power_divergence_against_cressie_read_datazCTestPowerDivergence.test_power_divergence_against_cressie_read_data4  s^    jj @ AIIb#))A,+,rvvc{RVVBFF46N%;;<&&a0 "#&W__a%7!8!0!1C!D!F GGHq 	   & FG,v||A' 	<A%+AqD\6!Q$<]G,,VAaC[&1+5<>GD!D-d;		<rx   N)r   r   r   rj  r,  r  r  ry  r#  r:  r  power_div_empty_casesr  r  r  r  r   rx   rv   r\  r\    s    @B [[V%78[[]	./@	/ 9
@-:#'J [[V%:;[[]	./,	/ <
,4D.<rx   r\  c                   `    e Zd Zd Zd Zej                  j                  dddg      d        Zy)TestChisquarec                     t        t        d      5  |j                  ddg      }|j                  ddg      }t        j                  ||       d d d        y # 1 sw Y   y xY w)Nr  r   r   r  r  r  r  )r   r   re   rh   rc  )rm   rn   rT  rU  s       rv   test_chisquare_12282az#TestChisquare.test_chisquare_12282ag  sV     :-EF 	6JJSz*EJJSz*EOO%u5	6 	6 	6s   >AA"c                 6   t         j                  j                  d      }d}|j                  dd|      }|j	                  |      }|j                  |      }|j                  ||j                        }t        j                  ||dd	      }||z
  |j                  |      z  }|j                  |d
z        }t        |j                  |       t        |j                  ||j                              }	t        |j                  |	j                  |             y )Nl   *m{m r[   r  r  r  r5  ra   F)rT  rU  r  	sum_checkr1   )r   r  r  rg  poissonre   r3  rh   rc  r  r  r/   r
  r%   r	  re  )
rm   rn   r  r@  lamro   r   r{  r
  r  s
             rv   test_chisquare_12282bz#TestChisquare.test_chisquare_12282bp  s     ii##$45kk$1k-KKjjoJJq		J*ooASrUKW$FF1a4L	y1AY__=>

BEE)$45rx   zn, dtype)r  ru  )i@B r  c           	      z   t        ||      }|j                  |dg|      }|j                  |dz  |dz  g|      }t        j                  ||      }|\  }}t	        ||j                  ||j                  d      j
                        d       t        |j                  |       t        |j                  |       y )Nr   r5  r1   r   vIh%<=rZ  )	r6  re   rh   rc  r/   r3  r0   r
  r	  )	rm   r@  r3  rn   r  r  r   rh  r0  s	            rv   #test_chiquare_data_types_attributesz1TestChisquare.test_chiquare_data_types_attributes  s     E"jj!Quj-jj!q&!q&)j7ooc3'abjj"**R.2F2FjGeTt,

A&rx   N)	r   r   r   r  r  r,  r  r  r  r   rx   rv   r  r  e  s8    66& [[Z.:L)MN
' O
'rx   r  c                   T    e Zd Zej                  j                  d      d        Zd Zy)TestChisquareMAr  c           	         t        j                  g dg dg      j                  }t        j                  g dg dg      j                  }t         j                  j	                  ||      }t        j                  ddg      }t        j                  ddt        j
                  d      z  d	t        j
                  d
      z  z   z  ddt        j
                  d      z  dt        j
                  d      z  z   z  g      }t        j                  j                  }t        j                  |      \  }}t        j                  ||       t        j                  ||j                  ||j                  d      dz
               t        j                  |d      \  }	}t        j                  |	|d       t        j                  ||j                  ||j                  d      dz
               t        j                  |j                  d      \  }}t        j                  ||       t        j                  ||j                  ||j                  j                  d      dz
               t        j                  |j                  dd      \  }	}t        j                  |	|d       t        j                  ||j                  ||j                  d      dz
               t         j                  j                  g dg d      }
t         j                  j                  g dg d      }t        j                  |
|      \  }}t        j                  |d       t        j                  t         j                  j                  g d      d       \  }}t!        t#        |t         j$                               t!        t#        |t         j$                               t'        |d       t)        |t        j                  j                  j                  dd             t        j*                  d      5  t-               5 }|j/                  t0        d        t        j                  t         j                  j                  g             \  }}d d d        d d d        t!        t#        |t         j                  j2                               t'        |j4                  d!       t!        |j6                         t         j                  j                  g g g g      }t        j                  |      \  }}t!        t#        |t         j                  j2                               t        j                  |g        t        j*                  d      5  t-               5 }|j/                  t0        d        t        j                  |j                        \  }}d d d        d d d        t!        t#        |t         j                  j2                               t'        |j4                  d"       t!        t        j8                  |j6                               y # 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w)#N)r7   r7   r       ra   )ra   ra   r2   r3   r4   )r   r   r   r   r   )r   r   r   r   r   g      8@r:   r1   r   r  rD  r2   r4  r4   r  r   rU   r   ro  r  r  r  )rV   r_  )r2   r4   r5   r?  r[   )r   r   r   r   r   r  )r1   r3   r7   r[   r?  )rU  rm  r   r  r  r  r   r7  )r   r   r  r  r  r  rh   rd  rV  rc  matr	   r   re  r]  rb  r   r  r   r   r   r  r   r   r   r  r  r  r  )rm   r  r  mobsexpected_chisq
expected_grV  chisqr0  gobs1exp1r   empty3s                 rv   test_chisquare_masked_arraysz,TestChisquareMA.test_chisquare_masked_arrays  s    hh*,=>?AAxx/:;==uu!!#t,4+.XXq#bffSk/Brvvc{N"BC !BFF4L.1RVVD\>"ABD E
 ""''??4(qun5%%a151Ca1G*I 	J %%d4DE1%%aR@%%a151Ca1G*I 	J ??4662qun5%%a1511E1I*K 	L%%dff1>NO1%%aR@%%a151Ca1G*I 	J uu{{,?{Cuu{{,?{C//$d3a 	t_5 ??255;;w#7dCq
5"**-.
1bjj)*UC Au2277::3BC [[* 	<"$ <

>+@A ??255;;r?;q<	< 	
5"%%"3"345U[["%

bBZ( ??6*q
5"%%"3"345ub) [[* 	5"$ 5

>+@A ??6884q5	5
 	
5"%%"3"345U[[$'uzz"#1< <	< 	<&5 5	5 	5sI   +Y
6AX=Y
=Y#9YY#=Y	Y

YY 	Y##Y,c                    t        j                  g d      }t         j                  j                  |      }d}t	        j
                  t        |      5  t        j                  |       d d d        t	        j
                  t        |      5  t        j                  ||       d d d        y # 1 sw Y   DxY w# 1 sw Y   y xY w)Nri  z8`power_divergence` and `chisquare` support for masked...r   )	r   re   r  r  r,  r-  DeprecationWarningrh   rc  )rm   r  r  rt  s       rv   test_deprecation_warningz(TestChisquareMA.test_deprecation_warning  s    JJ|$UU"L\\,G< 	 OOB	 \\,G< 	#OOAr"	# 	#	  	 	# 	#s   B-B9-B69CN)r   r   r   r,  r  r  r  r  r   rx   rv   r  r    s,    [[ <=H$ >H$T#rx   r  c            	         t        g d      t        g d      t        g d      t        g d      g} t        g d      t        g d      t        g d      t        g d      g}t        g d	      t        g d
      t        g d      t        g d      g}t        t        j                  | d   | d   | d   | d         d       t        t        j                  |d   |d   |d   |d         d       t        t        j                  |d   |d   |d   |d         d       t	        t
        t        j                  |d   |d          d}t        j                  |  }t        ||       t        t        j                  | d   | d   | d   | d         d       t        t        j                  |d   |d   |d   |d         d       t	        t
        t        j                  |d   |d          y )N)g"~j?g^I+?gI+?gjt?gMbX9?gʡE?x&?-?g?r   Gz?g+?gv?g9v?)g~jt?gx?gOn?r  g"~j?n?gK7A`?r  g7A`?r   bX9?gZd;O?g1Zd?gK?)gy&1?gzG?g`"?g!rh?g'1Z?gZd;O?grh|?gjt?gʡE?r   gzG?gS?gJ4?gʡE?)gK7?gh|?5?gl?g/$?g#~j?r  gQ?      ?g      ?r   r  g rh?g333333?
ףp=
?)r3   r2   r4   r2   r4   r2   r1   r4   r3   r3   r3   r2   )r1   r1   r   r1   r2   r   r1   r2   r1   r   r   r2   )r1   r3   r2   r2   r3   r2   r2   r3   r3   r   r1   r   )r2   r4   r3   r2   r3   r3   r2   r2   r2   r3   r3   r3   )r   g#@rB   r  g$@)g333333@g@g@r=   g@)r  r  r?   r)   @)g!@g!@333333 @ffffff
@g333333"@r   r   r1   r2   )gNt$@gBv?)g
__2@g5"]i2?)g\(\%@g+ԋ?r  )r   r   rh   friedmanchisquarer   r   r   mstats)rx  ry  r  r  r   s        rv   test_friedmanchisquarer    s   
  8 9
 9 :
 : ;
 9 :
;B )
*
)
*
)
*
)
*
,B &
'
%
&
%
&
%
&
(B
 e55beBqE"Q%1NDFe55beBqE"Q%1NFHe55beBqE"Q%1N9;*e55beBqEB )J

!
!2
&CZ( f66r!ube79!ubeEDF f66r!ube79!ubeE9; *f66r!uRUCrx   c                   4    e Zd ZdZ	 ddZddZd Zd Zd Zy)	
TestKSTestzLTests kstest and ks_1samp agree with K-S various sizes, alternatives, modes.c                     t        j                  |d||      }t        j                  ||g      }t	        t        j                  |      ||       y Nr  rY  rE  r  )rh   kstestr   r   r   	rm   ro   rY  expected_statisticexpected_probrE  r  ra  r  s	            rv   _testOnezTestKSTest._testOne"  s?    a[tL88/?@!"((6"2HgNrx   c                     t        j                  |d||      }t        j                  |t         j                  j                  ||      }t        t        j                  |      ||       y r  )rh   r  ks_1sampr  cdfr   r   r   )rm   ro   rY  rE  r  ra  result_1samps          rv   _test_kstest_and_ks1sampz#TestKSTest._test_kstest_and_ks1samp(  sK    a[tL~~a2=DJ!"((6"2L'Rrx   c                 z    t        j                  ddd      }d}t        j                  |d      }t	        ||       y )Nra   r   r8   r  r  )r   r  rh   r  r   rm   ro   r  r   s       rv   test_namedtuple_attributesz%TestKSTest.test_namedtuple_attributes.  s3    KKAq!,
ll1f%C,rx   c                 $   t        j                  ddd      }| j                  |d       t        j                  ddd      }| j                  |d       g d}| j                  |d       | j                  |dd	
       | j                  |dd	
       y )Nra   r   r8   rP  r  
r  Q?g333333g(\?Q?g(\ſg{GzgHzG?g\(\gGzrT  rs  rE  rR  )r   r  r  r.  s     rv   test_agree_with_ks_1sampz#TestKSTest.test_agree_with_ks_1samp5  s    KKAq!%%a5KKR#%%a5N%%a5%%a%A%%ag%>rx   c                    t         j                   ddt         j                  g}t        j                  |t        j                  j
                        }t        j                  |t        j                  j
                  d      }t        j                  t        j                  |            sJ t        ||       t        j                  |j                        rJ t        j                  |j                        rJ y )Nr   r   T)_no_deco)r   r  rh   r  cauchyr  r  r  r   r  r
  r	  )rm   rG  r   r  s       rv   test_pm_inf_gh20386zTestKSTest.test_pm_inf_gh20386A  s     Arvv&ll4!1!12ll4!1!1DAvvbkk#&'''S#88CMM***88CJJ''''rx   NautorY   )	r   r   r   r   r  r  r  r  r  r   rx   rv   r  r    s%    V ')OS-
?	(rx   r  c                       e Zd ZdZ	 ddZd Zd Zd Zd Ze	j                  j                  dej                  ej                  g      e	j                  j                  dg d	      d
               Zy)TestKSOneSamplezY
    Tests kstest and ks_samp 1-samples with K-S various sizes, alternatives, modes.
    c                     t        j                  |t         j                  j                  ||      }t	        j
                  ||g      }t        t	        j
                  |      ||       y )Nr  r  )rh   r  r  r  r   r   r   r  s	            rv   r  zTestKSOneSample._testOneT  sH    5::>>{QUV88/?@!"((6"2HgNrx   c                     t        j                  ddd      }d}t        j                  |t        j                  j
                        }t        ||       y )Nra   r   r8   r  )r   r  rh   r  r  r  r   r  s       rv   r  z*TestKSOneSample.test_namedtuple_attributesZ  s;    KKAq!,
nnQ

/C,rx   c                 8   t        j                  ddd      }| j                  |ddd       t        j                  ddd      }| j                  |dd	d
       g d}| j                  |ddd       | j                  |dddd       | j                  |dddd       y )Nra   r   r8   rP  g|N?g7.s?r  r  g{CTp?g M<b*?r  gZL?g86J4?rT  g+?rs  r  rR  gHD?gr?r   r  r  r.  s     rv   test_agree_with_rz!TestKSOneSample.test_agree_with_ra  s    KKAq!a&9;NOKKR#a&9;OPNa&79JKa$57HwWa!24EGTrx   c                     t         j                  j                  ddd      }| j                  |dddd	       | j                  |d
dd       | j                  |ddd       y )Nr  r~  h:)r  r  r  rP  ghх?g7?asympr  rR  g^h?rT  gv!ԉ}?g*z)?)rh   r  r  r  r.  s     rv   test_known_examplesz#TestKSOneSample.test_known_examplesn  s`    JJNNs9NEa&9;O" 	 	$a!46JKa$9;NOrx   c           	         t        t        j                  t        t        j                  dd                   t        t        d      5  t        ddd       d d d        t        t        j                  t        ddd                   t        j                  g d      }t        t        |dd	      j                  t        t        t        g
       y # 1 sw Y   {xY w)Nr   Tzn is not integral: 1.5r   r;   ra   ))r<  r   Tr   )r<  皙?Tr   )r<  r   Tr   )r<  gTr   )r        ?Tr   )r  r  Fr   )r  r:   Tgb?)r  r:   FgiNq>)r        ?Tgv(?)r  rY  TgT	?)@  g\(\?Fr   )r        ?Fg(>)r  gQ?Fg@c?)r        ?FgX+ʳP?rV  r2   )dtypes)r   r   r  r   rl   r   r   re   r   checkintr  bool)rm   datasets     rv   test_ks1samp_allpathsz%TestKSOneSample.test_ks1samp_allpathsv  s    D123:-EF 	"CD!	"Q-./** 
 4 	'9a066sE4>P6Q=	" 	"s   	CCksfunc*alternative, x6val, ref_location, ref_sign))rT  r5   r5   r   )rR  r6   r6   ra   )rP  r5   r5   r   )rP  r6   r6   ra   c                    t        j                  d      dz   }||d<   t        j                  d      j                  } ||||      }t        |j                  dd       |j                  |k(  sJ |j                  |k(  sJ y )	Nr[   r:   r5   ro  rX  r  r  rZ  )	r   r   rh   rg  r  r   r
  statistic_locationstatistic_sign)	rm   r  rY  x6valref_locationref_signro   r  r   s	            rv   test_location_signz"TestKSOneSample.test_location_sign  sy     IIbMC!mm"%))Q5s7%%555!!X---rx   Nr  )r   r   r   r   r  r  r  r  r  r,  r  r  rh   r  r  r  r   rx   rv   r  r  O  s|    
 ')O-UP!RF [[Xenn'EF[[I78

.8 G
.rx   r  c                      e Zd ZdZ	 ddZd Zd Zd Zd Zd Z	d Z
d	 Zej                  j                  d
        Zej                  j                  d        Zd Zd Zej                  j&                  d        Zej                  j&                  d        Zej                  j                  d        Zd Zej                  j                  d        Zej                  j3                  dg dgfdgg fg g ff      d        Zej                  j&                  d        Zd Zej                  j3                  dej<                  ej>                  g      ej                  j3                  dg d      d               Z y)TestKSTwoSamplesz<Tests 2-samples with K-S various sizes, alternatives, modes.c                     t        j                  ||||      }t        j                  ||g      }t	        t        j                  |      |       y )Nr  )rh   ks_2sampr   r   r   )	rm   rx  ry  rY  r  r  rE  ra  r  s	            rv   r  zTestKSTwoSamples._testOne  s=    B$?88/?@!"((6"2H=rx   c                    | j                  dgdgddd       | j                  dgdgddd       | j                  dgdgddd       | j                  dgdgddd       | j                  dgdgddd       | j                  dgdgddd       y )	Nr   r   rP  r   rT  r:   rR  r   )r  r#  s    rv   	testSmallzTestKSTwoSamples.testSmall  s    qcA3UC8qcA3	5#6qcA3s3qcA3UC8qcA3	5#6qcA3s3rx   c                 p   t        j                  ddg      }|dz   }|dz
  }t        j                  g d      }| j                  ||ddd       | j                  ||ddd       | j                  ||d	dd       | j                  ||dd
d       | j                  ||dd
d       | j                  ||d	dd       y )Nr   rD  r  ri  rP  r!  rT  r  rR  r  r  r  r   r   r   r  rm   rM  data1pdata1mrQ  s        rv   testTwoVsThreezTestKSTwoSamples.testTwoVsThree  s    #s$)fe['3?feY=feVWc:fe['3?feY=feVQ4rx   c                 p   t        j                  ddg      }|dz   }|dz
  }t        j                  g d      }| j                  ||ddd       | j                  ||ddd	       | j                  ||d
dd       | j                  ||ddd       | j                  ||ddd       | j                  ||d
dd       y )Nr   rD  r  r  rP  r:   g?rT  g?rR  rY  皙?r4  r  r  r   r  r  s        rv   testTwoVsFourzTestKSTwoSamples.testTwoVsFour  s    #s$-.fe['7CfeY@feVWg>fe['6BfeY@feVQ4rx   c                 N   t        j                  ddd      }|dz   dz   }|dz   dz
  }| j                  ||ddd       | j                  ||ddd	       | j                  ||d
dd       | j                  ||ddd       | j                  ||ddd       | j                  ||d
dd       y )Nr   r~  r1   r  rP  r,  g~z?rT  gz;.B?rR  r   r   {Gz?gn2IU?r  )rm   x100	x100_2_p1	x100_2_m1s       rv   test100_100zTestKSTwoSamples.test100_100  s    {{1c3'1HsN	1HsN	dI{I?QRdIy)=OPdIvq#6dI{IsCdIy)=NOdIvq#6rx   c                 |   t        j                  ddd      }t        j                  ddd      }|dz   dz   }|dz   dz
  }| j                  ||ddd       | j                  ||d	dd
       | j                  ||ddd       | j                  ||ddd       | j                  ||d	dd       | j                  ||ddd       y )Nr   r~  rB  r  r  rP  g?g@߿?rT  g}n?rR  r   g:[?g]O);?gѫ);?r   r   r  )rm   r  x110
x110_20_p1
x110_20_m1s        rv   test100_110zTestKSTwoSamples.test100_110  s    {{1c3'{{1c3'BY_
BY_
dJ\CWXdJ	<AUVdJ15dJ\CWXdJ	<AUVdJS9rx   c                 B   t        j                  dgdz  dgdz  z   dgdz  z   dgdz  z   t              }|dz   }t        j                  dgdz  dgdz  z   dgdz  z   dgdz  z   t              }t        j                  dgdz  dgdz  z   dgdz  z   d	gdz  z   t              }| j                  ||d
dd       | j                  ||ddd       | j                  ||ddd       | j                  ||d
dd       | j                  ||ddd       | j                  ||ddd       y )Nr1   r2   r3   r4   r5   r5  r   r[   r6   rP  g      ?g^dH?rT  gQl6y?rR  r   r   gVdEVdE?g(f^?g!?gii?g+ ϖ?)r   r   r  r  )rm   x2233x3344x2356x3467s        rv   testRepeatedValuesz#TestKSTwoSamples.testRepeatedValues  s-   !qA37*aS1W4sQw>cJ	!qA37*aS2X5a?sK!rQC!G+qcBh6!q@LeUK9KLeUIv7JKeUFFC8eUK>PQeUI{<NOeUFJ8JKrx   c                    t        j                  g d      }| j                  ||dz   ddd       | j                  ||dz   ddd       | j                  ||dz   dd	d       | j                  ||d
z   ddd       | j                  ||d
z   ddd       | j                  ||d
z   dd	d       | j                  ||d
z
  ddd       | j                  ||d
z
  dd	d       | j                  ||d
z
  ddd       y )Nri  r   rP  r!  r   rT  r4  rR  r   r:   r  )rm   rQ  s     rv   testEqualSizeszTestKSTwoSamples.testEqualSizes  s    )eU1Wk5#>eU1Wi=eU1WfeR8eU3YUC@eU3Y	5$?eU3Yr:eU3YUC@eU3Y	5#>eU3Yt<rx   c           	      2   d\  }}d|z  |z  dz  dz  }t        j                  dd|      |z
  }t        j                  dd|      }| j                  ||dd|z  |z  dd	       | j                  ||dd|z  |z  dd
	       | j                  ||dd|z  |z  dd
	       | j                  ||dd|z  |z  dd
	       t               5 }d}|j	                  t
        |       | j                  ||dd|z  |z  dd	       | j                  ||dd|z  |z  dd	       d d d        t        j                  d      5 }t        j                  d       | j                  ||dd|z  |z  dd	       t        |t
        d       d d d        y # 1 sw Y   lxY w# 1 sw Y   y xY w)N)r  iX  r   r1   r   r  rP  g     @@r  r  r  rT  g2JE?rR  g     @@gsW\nc?)ks_2samp: Exact calculation unsuccessful.rs  Trg  rh  
r   r  r  r   r   r   rj  rk  rl  r2  	rm   n1n2deltaro   rp   r   rt  rk  s	            rv   testMiddlingBothz!TestKSTwoSamples.testMiddlingBoth  s    BBr	!AKK3#e+KK3#aK"r)93! 	 	#aK"r)93" 	 	$aIv{R'79K" 	 	$aFEBJO5G" 	 	$  	(CAGJJ~w/MM!Q	6B;+;=O&  (MM!Q
R9K&  (	( $$D1 	2Q!!(+MM!Q
R9K&  (A~q1		2 	2	( 	(	2 	2   AF4AFF
Fc           	      2   d\  }}d|z  |z  dz  dz  }t        j                  dd|      |z
  }t        j                  dd|      }| j                  ||dd|z  |z  dd	       | j                  ||dd|z  |z  dd
	       | j                  ||dd|z  |z  dd	       | j                  ||dd|z  |z  dd	       t               5 }d}|j	                  t
        |       | j                  ||dd|z  |z  dd	       | j                  ||dd|z  |z  dd	       d d d        t        j                  d      5 }t        j                  d       | j                  ||dd|z  |z  dd	       t        |t
        d       d d d        y # 1 sw Y   lxY w# 1 sw Y   y xY w)N)r  L  r   r1   r   r  rP  g     ȹ@r  r  r  rT  gZ?rR  g     @@g@J?r(  rs  Trg  rh  r)  r*  s	            rv   testMediumBothzTestKSTwoSamples.testMediumBoth$  s    BBr	!AKK3#e+KK3#aK"r)93" 	 	$aK"r)93! 	 	#aIv{R'79K" 	 	$aFFRK"$46H" 	 	$   	(CAGJJ~w/MM!Q	6B;+;=O&  (MM!Qb(8:L&  (	( $$D1 	2Q!!(+MM!Qb(8:L&  (A~q1		2 	2	( 	(	2 	2r/  c                 &   d\  }}|dz  }d|z  |z  dz  dz  }t        j                  dd|      |z
  }t        j                  dd|      }| j                  ||dd	|z  d
       | j                  ||dd|z  d       | j                  ||dd	|z  d       y )N)'  rB  r2  r   r1   r   r  r~  rP  g    `@g      <rT  g     @g򼉷?rR  gimb:r  )rm   r+  r,  lcmr-  ro   rp   s          rv   	testLargezTestKSTwoSamples.testLargeA  s    BgBr	!AKK3#e+KK3#aK38NOaIus{4GHaFGcM3IJrx   c                 $   t         j                  j                  d       t         j                  j                  d      }t         j                  j                  d      dz  }| j	                  ||dddd	
       | j	                  ||dddd
       y )N@ i  r  i  r;   rP  gC?      <r  r  rs  r   r  r(  r  r  r*  s      rv   test_gh11184zTestKSTwoSamples.test_gh11184L  s    
		vII$'II$'#-aK)<>T" 	 	$aK)<>T" 	 	$rx   c                    t         j                  j                  d       t         j                  j                  d      }t         j                  j                  d      dz  }| j	                  ||dddd	
       | j	                  ||dddd
       | j	                  ||dddd	
       | j	                  ||dddd	
       y )Nr8  r4  r  i'  r;   rP  g 	_r!?gAD5r  r  r9  rs  rT  gלN#y7rR  gvqw?r:  r*  s      rv   test_gh11184_biggerz$TestKSTwoSamples.test_gh11184_biggerV  s     			vII%(II%(3.aK)<>T" 	 	$aK)<>T" 	 	$aI':<R" 	 	$aF$79O" 	 	$rx   c                    t         j                  j                  d       t        ddd      D ]  }t         j                  j	                  |      }t         j                  j	                  |dz   d      }t        j                  ||d	      j                  }t        j                  ||d
	      j                  }t        |d|z         t        |d|z          y )Nr8  r  i.  r  r[   r:   r  r  rs  r  r  r2   )	r   r  r(  r  r  rh   r  r	  r   )rm   ro   vals1vals2rs  r  s         rv   test_gh12999zTestKSTwoSamples.test_gh12999e  s    
		vtUD) 	0AII$$1$.EII$$1r6$<ENN5%g>EEENN5%g>EEEeQY/eQY/	0rx   c           	      h   d\  }}|dz  }d|z  |z  dz  dz  }t        j                  dd|      |z
  }t        j                  dd|      }| j                  ||dd|z  d	d
       | j                  ||dd|z  dd       | j                  ||dd|z  d	d       | j                  ||dd|z  d       | j                  ||dd|z  d       t               5 }d}|j	                  t
        |       | j                  ||dd|z  dd       | j                  ||dd|z  dd       d d d        y # 1 sw Y   y xY w)N)r4  i*  r2  r   r1   r   r  rP  g     @gkHY?r  r  gLɔ.?rs  r  rT  g.LbG2?rR  r   gr?֎?r(  )r   r  r  r   r   r   )	rm   r+  r,  r5  r-  ro   rp   r   rt  s	            rv   testLargeBothzTestKSTwoSamples.testLargeBothq  se    BgBr	!AKK3#e+KK3#aK6H" 	 	$aK6H" 	 	$aK6H! 	 	#aIus{4FGaFD3J0BC  	(CAGJJ~w/MM!Q	53;8J&  (MM!Qs
4F&  (	( 	( 	(s   AD((D1c                 R    d}t        j                  ddgdg      }t        ||       y )Nr  r   r1   r2   )rh   r  r   rm   r  r   s      rv   testNamedAttributesz$TestKSTwoSamples.testNamedAttributes  s'    ,
nnaVaS)C,rx   c           	          ddl m}m}  |dddd        |dddd       t        j                  d      5  t        t        |dd	dd       t        t        |d
ddd       d d d        y # 1 sw Y   y xY w)Nr   )_count_paths_outside_method!_compute_outer_prob_inside_methodr   r  i  r   r  r1  iK  r  )scipy.stats._stats_pyrI  rJ  r   r  r   FloatingPointError)rm   rI  rJ  s      rv   test_some_code_pathsz%TestKSTwoSamples.test_some_code_paths  st    	

 	*!Q15#D!Q5[[) 	,,.Ia,,.Ia,	, 	, 	,s   )A''A0rk  r   c                     t        j                  t        t              5  t	        j
                  | }t        |j                  t        j                         t        |j                  t        j                         d d d        y # 1 sw Y   y xY wrD  )r,  r-  r   r   rh   r  r   r
  r   rl   r	  rm   rk  r   s      rv   test_argument_checkingz'TestKSTwoSamples.test_argument_checking  s[     \\,4IJ 	-..$'C/RVV,	- 	- 	-   ABBc                 *   t         j                  j                  d       d}t        j                  j                  |dd      }|dz   }t        j                  ||dd       t        j                  ||d	d       t        j                  ||d
d       y)zEnsure gh-12218 is fixed.Na i    r   r   r  rT  r  r  rR  rP  N)r   r  r(  rh   rg  r  r  )rm   r+  rvs1rvs2s       rv   test_gh12218zTestKSTwoSamples.test_gh12218  ss    
 			x }}  bb :axtTywGtTvGDtT{Irx   c                 V   t         j                  j                  d      }|j                  d      dz   }|j                  d      }d}t        j                  t
        |      5  t        j                  ||d	
      }t        |j                  dd       d d d        y # 1 sw Y   y xY w)Ni{fr(  iq  r  r:   iq  z(ks_2samp: Exact calculation unsuccessfulr   rR  rX  r   r  r  )
r   r  RandomStater,  r-  r   rh   r  r   r	  )rm   r  rM  rQ  rt  r   s         rv   test_warnings_gh_14019z'TestKSTwoSamples.test_warnings_gh_14019  s     ii###2


$s*


$<\\.8 	7..6BCCJJ6	7 	7 	7s   %1BB(r  r  ))rT  皙@r[  r   )rR  ffffff@r   ra   )rP  r[  r[  r   )rP  r\  r   ra   c                    t        j                  dt         j                        }|j                         }||d<   t	        j
                  |||      }|j                  dk(  sJ |j                  |k(  sJ |j                  |k(  sJ y )Nr[   r5  r5   rX  r  )	r   r   r   r  rh   r  r
  r  r   )	rm   r  rY  r  r  r  ro   rp   r   s	            rv   r  z#TestKSTwoSamples.test_location_sign  sx     IIb

+FFH!nnQ{;}}###%%555!!X---rx   N)r  )!r   r   r   r   r  r
  r  r  r  r  r$  r&  r,  r  r  r.  r2  r6  r;  r  r=  rB  rD  rG  rM  r  rP  rV  rZ  rh   r  r  r  r   rx   rv   r  r    s   F >4
55	7:
L
= [[2 26 [[2 28	K$ [[$ $ [[	0 	0 [[( (.- [[, ,  [[VrA3i1#rRH%EF- G- [[
J 
J
7 [[Xenn'EF[[I;<

.< G
.rx   r  c            	      $   d\  } }| |  g||gf}t        j                  ddd      }t        j                  ddd      }t        j                  t        j                  ddd      t        j                  ddd      g      }t        j                  t        j                  ddd      t        j                  ddd      g      }t        j                  ||d      \  }}t        ||g| |f       t        j                  |j                  |j                  d      \  }}t        ||g|       t        j                  ||d      \  }}t        ||g|       t               5 }	t        j                  dd	      5  |	j                  t        d
       t        j                  dd      \  }}d d d        d d d        t        t        j                  |             t        t        j                  |             d}
t        j                  ||d      }t        ||
       t        j                  |||g      }t        j                  |||g      }t        j                  ||d      \  }}t        t        j                  |      |        t        t        j                  |      |       t!        |j"                  d       t        j                  t        j$                  |dd      t        j$                  |dd      d      \  }}t        t        j                  |      |        t        t        j                  |      |       t!        |j"                  d       t'        t(        t        j                  ||d       t        j                  ||dd      \  }}t+        |d|dz  z
         t+        ||        t        j                  ||dd      \  }}t+        ||dz         t+        ||        t         j,                  j/                  d      }t        j0                  j3                  ddd|      }t         j4                  |d<   t        j0                  j3                  ddd|      t        j0                  j3                  dd|      z   }t         j4                  |d<   t        j                  d      5  t7        t        j                  ||      t         j4                  t         j4                  f       d d d        t        t        j                  ||d       d!       t'        t(        t        j                  ||d"        t'        t(        t        j                  ||d#        t9        j:                  t        d$%      5  t        j                  g d&g d'      \  }}d d d        t!        t        j                  |      |ft         j<                  df       t        j                  d      5  t!        t        j                  g d&g d&      t         j4                  t         j4                  f       t        j                  dt         j4                  gd(dgg      }t!        t        j                  |t        j>                  d)            dt         j4                  gdt         j4                  gf       d d d        t        j@                  d*      }t'        t(        t        j                  |jC                  d+      |jC                  d,             d- }t        jD                  |      }t         j4                  |d d d.d/f<   t         j4                  |d d d0d1f<   t9        j:                  tF        tH        %      5  t        j                  ||dd       \  } }d d d        t9        j:                  tF        tH        %      5  t        j                  ||ddd2      \  }}d d d        t+        || d34       t        j                  d      5  t+        | || |d      d34       d d d        t9        j:                  tF        tH        %      5  t        j                  ||ddd2      \  }}d d d        t+        || d34       t        j                  d      5  t+        | || |d      d34       d d d        y # 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   3xY w# 1 sw Y   0xY w# 1 sw Y   \xY w# 1 sw Y   $xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   y xY w)5N)gu?gȵI?r   r~  r  gKX@r   rU   r  r  r  r   r  r  r  r1   rN  r  rX  rR  r  rT  rS  r4   r[     r  r  r  )r  r  r  r  r   r   )ghm#1?gry̧?r   r   r  r   rZ  r6  ra   rO  r  )r7   r2   r1   r2   r3   c                 D    | dk  r|dk(  s
| dkD  r
|dk(  r|dz  S d|dz  z
  S Nr   rR  rT  r1   r   r   r  r0  alts      rv   convertztest_ttest_rel.<locals>.convert.  3    EcVmQ3)3Cq5LAE{rx   r  rz  r  r  r  r  rZ  )%r   r  r   rh   	ttest_relr   r  r   r  r   r   r   r  r   rP  absr   r  rQ  r   r   r   r  rY  r  r  rl   r	   r,  r-  r  r  r   rj   	vectorizer   r   )trr  tprrT  rU  rvs1_2Drvs2_2Dr  r0  r   r  r   rvs1_3Drvs2_3Dr  ro   rp   ananre  	converters                       rv   test_ttest_relrr    s   4EBrs8RG
C;;qS!D;;tF3'DhhAc#.D0LMNGhhD4bkk!C6LMNG
//$1
-CAaqeRG,
//'))WYYQ
7CAaqeC(
//'7
3CAaqeC( 
	 'KK:'

>#FGr2&1' ' BHHQKBHHQK )J
//$1
-CZ( ii12Gii12G
//'7
3CAabffQi,bffQi,&!??2;;w15;;w15 !#DAq bffQi,bffQi,&! *eootTwO??4A6BDAqAq2a4x Ar??4A9EDAqAr!tAr ))


)C

1BSsCAVVAcF	ARc	D	c#	>
?AVVAcF	X	& D5??1a02662662BCD eooavFGI*eooq!H*eooq!I 
n,E	F 5y)415"&&)Q"&&!-	X	& 1U__Y	:RVVRVV<LM xx!RVVr1g./U__T288F+;<"&&kArvv;/	11 			"A*eooqyy/@))I&( W%IGAr"uHGAr"uH	(0A	B I'1HBI 
(0A	B Fw*0fF1F Ar&	X	& B9RV45AB 
(0A	B Iw*0iI1I Ar&	X	& E9RY7eDE E' ' ' '\D D5 51 1.I IF FB BI IE Es   b 20b"b #?b-+b:Ccc!c!+c.)c:3db	b  b*-b7:ccc!c+.c7:ddc                     t         j                  dddg} g d}t        j                  | |d      }t        j                  || d      }t	        |j
                  |j
                   d       t	        |j                  |j                  d       t        j                  |d	d  | d	d        }t	        ||d       t	        |d
d       y )NrD  r  r   r   rD  r   rD  r   r   r  r  r   )r  grh|?-C6?)r   rl   rh   rg  r   r
  r	  ro   rp   r  r   r3s        rv   test_ttest_rel_nan_2nd_argrx  I  s    	c3AA	A&	1B	A&	1BBLL2<<-e<BIIryyu5 
12!"	&BB' B40rx   c                  8   t        j                  t        t              5  t	        j
                  g g       } d d d        t         t        j                  j                        sJ t        | t        j                  t        j                  f       y # 1 sw Y   ZxY wrD  )r,  r-  r   r   rh   rg  r  	_stats_pyTtestResultr   r   rl   )ra  s    rv   #test_ttest_rel_empty_1d_returns_nanr|  ^  sj     
(0E	F )R()feoo99:::"&&"&&)*) )s   BBzb, expected_shape)r   r4   r   r  r   r   r   )r2   r   c                    t        j                  d      }t         j                  j                         5 }|j	                  t
        t               t        j                  || d      }d d d        t        t        j                  j                        sJ t        j                  |t         j                        }t        |j                  |       t        |j                   |       y # 1 sw Y   xY wN)r2   r   r   ra   rU   r  )r   r  r  r   r   r   r   rh   rg  r  rz  r{  r   rl   r   r
  r	  )r"  expected_shaper  r   ra  expected_values         rv   test_ttest_rel_axis_size_zeror  g  s     	A		%	%	' 03

%'<=AB/0 feoo99:::WW^?N!!>2/0 0s   3C''C0c                  T   t        j                  d      } t        j                  d      }t        j                  | |d      }t	        |t        j
                  j                        sJ t        |j                  j                  d       t        |j                  j                  d       y N)r   r7   r   r4   r7   r   r   rU   r4   r   )r   r  rh   rg  r  rz  r{  r   r
  r  r	  )r  r"  ra  s      rv    test_ttest_rel_nonaxis_size_zeror  y  sv    
 	A
A__Q*Ffeoo99:::!!''0$$f-rx   rY  r  c                    t         j                  j                  d      }d}|j                  |dd      }|j                  |dd      }ddgdt         j                  gt         j                   d	gd
}t        j                  |||       }|j                  d      }t        |||           t        |j                  |dz
         y )Nl   C67l:  r[   r;   r1   r  gZ?Ygi{a?g8 gC?r  rX  r  r  r   )r   r  r  r  r  rh   rg  rF  r   r   r  )rY  r  r@  ro   rp   r  r   rb  s           rv   test_ttest_rel_ci_1dr    s     ))

 3
4C
A

s!
,A

q
*A ,->?)2662VVG013C //!QK
8C		 	 $	 	7BBK()1rx   ztest_fun, argsr[   c                      | | }d}t        j                  t        |      5  |j                  d       d d d        y # 1 sw Y   y xY w)Nr  r   r[   r  )r,  r   r   rF  )test_funr&  r   rt  s       rv   test_ttest_ci_ivr    sF    
 D/CDG	z	1 545 5 5s	   ?Ar  c                V    t        | |      ndfd	} || |       |||      z   S )Nc                     j                  |       } j                  | |      }j                  | |d      }| j                  |   }|||fS )NrU   r   r  )re   rk   r   r  )ro   rV   mur   nobsrn   s        rv   _statsz_desc_stats.<locals>._stats  sO    JJqMWWQTW"ffQTaf0wwt}3}rx   rK  )r)   )rx  ry  rV   rn   r  s      ` rv   _desc_statsr    s5    $&JR	 BB "dfR...rx   c                    | j                  d      }| j                  d      }| j                  || g      }| j                  ||g      }| j                  ddd      }| j                  ddd      }| j                  ||g      }| j                  ||g      }t        j                  ||d      }	|	\  }
}t        |
|       t        ||       t        j                  t        ||       }	|	\  }
}t        |
|       t        ||       t        j                  |j                  |j                  d      }	t        |	j                  |       t        |	j                  |       t        j                  t        |j                  |j                         }	t        |	j                  |       t        |	j                  |       t        j                  ||d      }	t        |	j                  |       t        |	j                  |       t        j                  t        ||d       }	t        |	j                  |       t        |	j                  |       d	}t        j                  t        |
      5  t        j                  ||d       d d d        t        |j                  |j                        }t        j                  t        |
      5  t        j                  |ddi d d d        t        j                  ||d      \  }
}t        |d|dz  z
         t        |
|       t        j                  ||d      \  }
}t        ||dz         t        |
|       t        j                  |j                  |j                  dd      }t        |j                  |j                        }t        j                  |ddi}t        |j                  |j                         t        |j                  |j                         t        j                  |j                  |j                  dd      }t        |j                  |j                        }t        j                  |ddi}t        |j                  |j                         t        |j                  |j                         | j                  | j                        }| j                  | j!                  |j"                  d         dk(  ||      }t        j                  ||d      }	t%        |	j                  |       t%        |	j                  |       t        j                  t        ||       }	t%        |	j                  |       t%        |	j                  |       y # 1 sw Y   xY w# 1 sw Y   xY w)N	ru?g8Mѱ?r4   i   r~  r   r   rU   r  r   r  rX  rY  rR  r1   rT  r  )re   r  r  rh   	ttest_indr/   ttest_ind_from_statsr  r  r
  r	  r,  r   r   rl   r  r   r  r0   )rn   rj  r  tr_2Dpr_2DrT  rU  rl  rm  r   r  r0  rt  r&  rz  r  NaNs                    rv   test_ttest_indr    s&    
&	'B	'	(BJJRCy!EJJBx E;;q#s#D;;q#s#Dhhd|$Ghhd|$G
//$1
-CDAqArAr

$
$k$&=
>CDAqArAr
//'))WYYQ
7CCMM5)CJJ&

$
$k'))WYY&G
HCCMM5)CJJ&
//'7
3CCMM5)CJJ&

$
$k'7&K
LCCMM5)CJJ& IG	z	1 ;d':; wyy')),D	z	1 A""D@@A ??46:DAqAqBqDz"Ar??49=DAqAr!tAr ??799giiaVLDwyy')),D%%t@@DDNNDNN3DKK-??799giiaVLDwyy')),D%%t@@DDNNDNN3DKK- **RVV
C88BIIdjjm,13=D
//$1
-CCMM3'CJJ$

$
$k$&=
>CCMM3'CJJ$M; ;A As   #U*?U7*U47Vc            	      ^   t        j                  ddd      } t        j                  ddd      }t        j                  | |g      }t        j                  || g      }t        j                  |||g      }t        j                  |||g      }t         j                  j                  d      }t        j                  j                  ddd|      }t         j                  |d	<   t        j                  j                  ddd	|      }t        j                  d
      5  t        t        j                  ||      t         j                  t         j                  f       d d d        t        t        j                  ||d      d       t        t        t        j                  ||d       t        t        t        j                  ||d       t!        j"                  t$        d      5  t        j                  g dg d      \  }	}
d d d        t'        t        j(                  	      
ft         j*                  df       t        j                  d
      5  t'        t        j                  g dg d      t         j                  t         j                  f       t        j                  dt         j                  gddgg      }t'        t        j                  |t        j,                  d            dt         j                  gdt         j                  gf       d d d        t         j                  |d d d d ddf<   t         j                  |d d d d ddf<   d }t        j.                  |      }t        j                  ||dd      \  }}t        j                  ||ddd      \  }	}
t1        |	|d        t1        |
 |||d      d        t        j                  ||ddd!      \  }	}
t1        |	|d        t1        |
 |||d!      d        y # 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w)"Nr4   r  r~  r   rS  r[   r_  r  r  r  r  r   r   )guͷ?g*,?r   r   r  r   rZ  r6  r   ra   rO  r  r5   r]   c                 D    | dk  r|dk(  s
| dkD  r
|dk(  r|dz  S d|dz  z
  S rb  r   rc  s      rv   re  z*test_ttest_ind_nan_policy.<locals>.convert5  rf  rx   r>  rR  )rV   r   rY  r  rZ  rT  )r   r  r   rP  r  rY  rh   r  r  rl   r  r	   r  r   r   r   r,  r-  r   r   rh  r  r  ri  r   )rT  rU  rl  rm  rn  ro  r  ro   rp   r  r0  rp  re  rq  rj  r  s                   rv   test_ttest_ind_nan_policyr    s%   ;;q#s#D;;q#s#Dhhd|$Ghhd|$Gii'734Gii'734G ))


)C

1BSsCAVVAcF

1BSsCA	X	& D5??1a02662662BCD eooavFHJ*eooq!H*eooq!I 
n,E	F 5y)415"&&)Q"&&!-	X	& 1U__Y	:RVVRVV<LM xx!RVVr1g./U__T288F+;<"&&kArvv;/	11 66GAq"R%K&&GAq!B$J W%I__WgA&IFB??7G!'-/DAqAr&AyR0u=??7G!'02DAqAr&AyR3%@SD D5 51 1s%   ?P#PCP"PP"P,c                  R   t               5 } t        j                  d      5  | j                  t        d       t        j                  dd      \  }}d d d        d d d        t        j                        sJ t        j                        sJ y # 1 sw Y   @xY w# 1 sw Y   DxY w)Nr  r  r  r   r  )r   r   r  r   r   rh   r  r  )r   r  r0  s      rv   test_ttest_ind_scalarr  H  s    		 'R[[%B '

>#FGr2&1' ' 88A;;88A;;	' ' ' 's"   B0BBB	BB&z&ignore:Arguments...:DeprecationWarningc                      e Zd ZdZej
                  j                  d        ej                   ej                  dez  dz        ej
                  j                  dez  dz        f      Z	 ej                   ej                  edz        dz   ej
                  j                  edz        f      Z
 ej                  d      Z ej                  d      dz   ZddgZddgZej
                  j                  d       ej                   j#                  d	dd
      j%                  dd	      j&                  Zej                   j#                  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   j3                         e
dddf   j3                         ddied   fe	e
dddefe	e
ej
                  j5                  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
                  j7                  d      ddefg
Zej<                  j?                  de      d        Z d Z!d Z"d Z#d Z$ej<                  jK                         d        Z&d  Z'd! Z(d" Z)ej<                  j?                  d#g d$      ej<                  j?                  d%d&d'g      d(               Z*ej<                  j?                  d#g d$      ej<                  j?                  d%d&d'g      d)               Z+d* Z,e-ej<                  j]                  dd+,      ej<                  j_                  d-      d.                      Z0y)/Test_ttest_ind_permutationsr  r   r2   r3   r~  r[   r   r1   r4   r  r  r7   g'^P?gCq?g$R?)g=B?g?goŜ?gp?g'^?rV   N)r  rV   	equal_varTra   )rV   r  r!  za,b,update,p_dc                     d dd}d dddd}|j                  |       |j                  |       t        j                  ||fi |\  }}t        j                  ||fi |\  }	}
t        ||	d       t        |
|       y )NFrV   r  r  r   )rV   r  permutationsr  r4   )updaterh   r  r   )rm   r  r"  r  p_d	options_a	options_pstat_ar`  stat_pr	  s              rv   test_ttest_ind_permutationsz7Test_ttest_ind_permutations.test_ttest_ind_permutations{  s    !6	!%)1>	  OOAq6I6	A;;!&&!4!&#.rx   c                 V   t         j                  j                  d       d}t         j                  j                  d|d      }t         j                  j                  d|d      }ddd}|j	                  d       t        j                  ||fi |}t        j                  ||fi |}|j	                  d	       t        j                  ||fi |}t        j                  ||fi |}|j	                  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                  |   z   |	j                  |          t        |j                  |    |j                  |    z   |	j                  |           y )Nr   r2   r1   r   r  )rV   r  rT  rX  rR  rP  r:   
r   r  r(  r3  r  rh   r  r   r
  r	  )rm   Nr  r"  r  res_g_abres_g_bares_l_abres_l_bares_2_abres_2_bar  s               rv    test_ttest_ind_exact_alternativez<Test_ttest_ind_permutations.test_ttest_ind_exact_alternative  s!   
		qIINN1a#IINN1a#5	Y/??1a595??1a595V,??1a595??1a595[1??1a595??1a595 	X''););<X''););< 	X''(*<*<)<=X''(*<*<)<=X''(*<*<)<= 	X__hoo6 	X__hoo6X__hoo6#%X__T*X__T-BB__T*	,X__dU+hoote.DD__dU+	-rx   c                 <   t         j                  j                  d       d}t         j                  j                  |      }t         j                  j                  |      }t	        j
                  ||      }t	        j
                  ||d      }t	        j
                  ||d      }t	        j
                  ||t         j                        }|j                  |j                  k7  sJ |j                  |j                  k(  sJ |j                  |j                  k(  sJ y )Nr   r2   r  r  )r   r  r(  r3  rh   r  r  r	  )rm   r  r  r"  r2  rz  r  r  s           rv   test_ttest_ind_exact_selectionz:Test_ttest_ind_permutations.test_ttest_ind_exact_selection  s    
		qIINN1IINN1q!$q!$7q!!4q!"&&9{{dkk))){{dkk))){{dkk)))rx   c                    t         j                  j                  d       t         j                  j                  d      }t         j                  j                  d      }t        j                  ||f      }t        |      t        |      }}d}t        |||d      \  }}}t        t        |            }	|	t        ||z   |      k(  sJ t        |      |	k(  sJ y )Nr   r2   r3   r  T)	r   r  r(  r3  r  rd  r   setr   )
rm   r  r"  rb  nanbr  t_statr`  n_uniques
             rv   !test_ttest_ind_exact_distributionz=Test_ttest_ind_permutations.test_ttest_ind_exact_distribution  s     			qIINN1IINN1~~q!f%QQB24r3791 s6{#5b"----6{h&&&rx   c                 T   t         j                  j                  d       d}t         j                  j                  dd|      }t         j                  j                  d|      }dddd}|j	                  d	       t        j                  ||fi |}t        j                  ||fi |}|j	                  d
	       t        j                  ||fi |}t        j                  ||fi |}t        |j                  |j                         t        |j                  |j                          t        |j                  |j                          t        |j                  |j                  z   dd|d   dz   z  z          t        |j                  |j                  z   dd|d   dz   z  z          y )Nr   ry  r1   r2   ra   r  )rV   r  r  rT  rX  rR  r   r  r  )	rm   r  r  r"  r  r  r  r  r  s	            rv   #test_ttest_ind_randperm_alternativez?Test_ttest_ind_permutations.test_ttest_ind_randperm_alternative  sm   
		qIINN1a#IINN1a qI	Y/??1a595??1a595V,??1a595??1a595 	X''););< 	X''(*<*<)<=X''(*<*<)<= 	X__x6In59::	<X__x6In59::	<rx   c                    t         j                  j                  d       d}t         j                  j                  |d      }t         j                  j                  |d      }ddd}|j	                  d       t        j                  ||fi |}|j	                  d       t        j                  ||fi |}|j	                  d	       t        j                  ||fi |}t        |j                  |j                  z   d
d
|d   d
z   z  z          |j                  dk  }t        d|j                  |   z  |j                  |   d       t        dd
|j                  |    z
  z  |j                  |    d       t        d|j                  |    z  |j                  |    d       t        dd
|j                  |   z
  z  |j                  |   d       y )Nr   ry  r3   r  r  r  rT  rX  rR  rP  r   r  r:   r1   r  r  )
r   r  r(  r3  r  rh   r  r   r	  r   )	rm   r  r  r"  r  r  r  r  r  s	            rv   $test_ttest_ind_randperm_alternative2z@Test_ttest_ind_permutations.test_ttest_ind_randperm_alternative2  s   
		qIINN1a IINN1a %*A>	Y/??1a595V,??1a595[1??1a595 	X__x6In59::	<
 #%HOOD11 -D	:Qxu556 .T	;HOOTE22 .T	;Qxt445 -D	:rx   c                    t         j                  j                  d       d}t         j                  j                  |d      }t         j                  j                  |d      }t         j                  |d<   t         j                  |d<   t         j                  |d<   t         j                  |d<   ddd}|j                  d	
       t        t        d      5  t        j                  ||fi |}d d d        t               5 }|j                  t        d       |j                  d
       t        j                  ||fi |}t        j                  |      j                  d      t        j                  |      j                  d      z  }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                  |j'                         |j'                         fi |}t        j                  |j                         sJ t        j                  |j"                        sJ 	 d d d        y # 1 sw Y   xY w# 1 sw Y   y xY w)Nr   ry  r4   r4   r   )r7   r1   )r8   r2   r  r  r   r   r   r   r   r=  rU   )r   r  r(  r3  rl   r  r   r   rh   r  r   r   r   r  r  r   r	  r
  r   r  )	rm   r  r  r"  r  r   r   r  r  s	            rv   $test_ttest_ind_permutation_nanpolicyz@Test_ttest_ind_permutations.test_ttest_ind_permutation_nanpolicy  s&   
		qIINN1a IINN1a &&$&&$&&$&&$%)1=	 	G,:-LM 	5//!Q4)4C	5   	+CJJ~'784//!Q4)4C88A;???*RXXa[__!_-DDD??1QX;!dU(IyIDD)2662t,bff5CJJu-t{{;CMM4%0$..A //!'')QWWYD)DC88CJJ'''88CMM***#	+ 	+		5 	5	+ 	+s   K F=KKKc                    t        t        d      5  t        j                  | j                  | j
                  d       d d d        t        t        d      5  t        j                  | j                  | j
                  d       d d d        t        t        d      5  t        j                  | j                  | j                  ddd	       d d d        y # 1 sw Y   xY w# 1 sw Y   ^xY w# 1 sw Y   y xY w)
NzPermutations must ber   rb   r  r;   z'hello' cannot be usedr   hello)r  r  rV   )r   r   rh   r  r  b2r  r"  r#  s    rv   'test_ttest_ind_permutation_check_inputszCTest_ttest_ind_permutations.test_ttest_ind_permutation_check_inputs6  s    :-CD 	?OODGGTWW2>	?:-CD 	@OODGGTWW3?	@:-EF 	:OODFFDFF)0q:	: 	:		? 	?	@ 	@	: 	:s#   -C-C"/C.C"C+.C7c                     d}t         j                  j                  |d      }t         j                  j                  |d      }t        j                  ||d      j
                  }t        d|v       d|vsJ y )Nr[   r  r   r  r   )r   r  r3  rh   r  r	  print)rm   r  r  r"  p_valuess        rv   )test_ttest_ind_permutation_check_p_valueszETest_ttest_ind_permutations.test_ttest_ind_permutation_check_p_values?  sb    IINN1b!IINN1b!??1aa8??c!"("""rx   rY  rv  r  )r]   )r1   r]   c                    t         j                  j                  d      }|j                  |      }|j                  d      }t        d      }t         j                  j                  d      }t	        j
                  dd|i|}t	        j                  ||d||	      }d
 }	t         j                  j                  d      }t	        j                  ||f|	fd||d|}
t        |j                  |
j                         t        |j                  |
j                         t	        j                  ||d|      }
t        |j                  |
j                         t        |j                  |
j                  d       y )N   Nvf_aB r  r^     r     N\Sju	 r  ra   rV   rY  rr  c                 F    t        j                  | ||      j                  S NrU   rh   r  r
  ro   rp   rV   s      rv   r
  zFTest_ttest_ind_permutations.test_permutation_method.<locals>.statisticW      %//!QT*J*T*T#Trx   )rV   r  rY  r  r,  rZ  r   )r   r  r  r  rh   r  r  permutation_testr   r
  r	  r   )rm   rY  r  r  ro   rp   r'  rr  r   r
  r  s              rv   test_permutation_methodz3Test_ttest_ind_permutations.test_permutation_methodH  s2    ii##$45JJEJ"JJBJ#& ii##O4((;S;F;ooaVT 	Uyy$$_5$$aVY HRS1<H@FH 	S]]CMM2SZZ, ooaES]]CMM2

CJJT:rx   c                 8   t         j                  j                  d      }|j                  |      }|j                  d      }t        d      }d }t         j                  j                  d      }|j                  |j                  g}t        j                  ||ff||d|d	|}	t         j                  j                  d      }|j                  |j                  g}t        j                  dd
|i|}
t        j                  ||d||
      }t        |j                  |	j                         t        |j                  |	j                         t        j                  dddi|}
t        j                  ||d||
      }t        |j                  |	j                         t        |j                  |	j                         t        j                  ||d|      }	t        |j                  |	j                         t        |j                  |	j                  d       y )Nr  r  r^   r  r  c                 F    t        j                  | ||      j                  S r  r  r  s      rv   r
  zFTest_ttest_ind_permutations.test_monte_carlo_method.<locals>.statisticn  r  rx   r  ra   )r  r
  rV   rY  r  r  r  r  r  rZ  r   )r   r  r  r  r  rh   monte_carlo_testr  r  r   r
  r	  r   )rm   rY  r  r  ro   rp   r'  r
  r  r  rr  r   s               rv   test_monte_carlo_methodz3Test_ttest_ind_permutations.test_monte_carlo_methodd  s    ii##$45JJEJ"JJBJ#& 	Uii##O4""C$7$78$$aV H	PR1<H@FH ii##O4""C$7$78'':C:6:ooaVTS]]CMM2SZZ, ''FOFvFooaVTS]]CMM2SZZ, ooaES]]CMM2

CJJT:rx   c                     d}t        j                  t        |      5  t        j                  g dg dd       d d d        y # 1 sw Y   y xY w)NzC`method` must be an instance of `PermutationMethod`, an instance...r   rm  rA  	migratoryrq  )r,  r   r   rh   r  r  s     rv    test_resampling_input_validationz<Test_ttest_ind_permutations.test_resampling_input_validation  s>    W]]:W5 	FOOIyE	F 	F 	Fs   AAr  r  rH   c                    |j                  | j                        |j                  | j                        }}d}t        |      rt	        j
                  ||d       n<t        j                  t        |      5  t	        j
                  ||d       d d d        d}t        j                  j                  d      }t	        j                  |      }t        |      rt	        j
                  |||       y t        j                  t        |      5  t	        j
                  |||       d d d        y # 1 sw Y   xY w# 1 sw Y   y xY w)	Nz;Use of `permutations` is compatible only with NumPy arrays.r[   r  r   z?Use of resampling methods is compatible only with NumPy arrays.l   /gGy r  rq  )re   r  r  r+   rh   r  r,  r   r  r   r  r  r  )rm   rn   r  r  rt  r  rr  s          rv   %test_permutation_not_implement_for_xpzATest_ttest_ind_permutations.test_permutation_not_implement_for_xp  s    
 DGG$bjj&9BOB<OOB42'B 9BR89 Tii##$45((S1B<OOB622'B 7Bv67 79 97 7s   8D1D=1D:=E)1r   r   r   r  r   r  r(  r  r   r  r"  r  r  r  b3rh   r  r  rj   r  rT  rU  r  p_d_genp_d_bigrg   rY  r  paramsr,  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r'   rH   r  r  r   rx   rv   r  r  Q  s   
A IINN1		9299QqS!V$bii&6&6qsAv&>?@A		9299QT?S("))*:*:1a4*@ABA 
2B	2	B QB
QB IINN1::>>ar"  $$+GCOAA 	::>>ar>4D<
 C~&G+G 
A{C 	
accFA;$	
1a4!AqD'FD>3q62	
1a4	1QT7>>+fd^SVD	
A1-s3	
A		 5 5a 8!DcJ	R+t$f-	tb!4g>	RS	
A		 5 5a 8!DgN
F [[-v6
/ 7
/(-T*'&<: [[: :B"+H:# [[],LM[[Wug&67; 8 N;4 [[],LM[[Wug&67; 8 N;BF
 [[!!4)D " F[[/07 1F 7rx   r  c                      e Zd Zej                  j                         ej                  j                  ddddddii gg d      ej                  j                  d	d
dgd	dg      d                      Zej                  j                  ddddddii gg d      ej                  j                  dddg      d               Zy)Test_ttest_ind_commonkwdsr  r   r  trimr  )r  r  basic)idsr  TFunequal_varc           	      R   t         j                  j                  d       t         j                  j                  dddddd      }t         j                  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        j                  t        j                  |d      d
d      }t        j                  t        j                  |d      d
d      }|j                  d d }t        j                  |      }t        j                  |      }t        d |D         D ]C  }||   }||   }t	        j
                  ||fd	di|}|j                  ||<   |j                  ||<   E t        ||j                         t        ||j                         y )Nr   r4   r3   r6   r   r5   r7   r1   rV   rb   )r1   r2   r   r  r   r   r   r   r1   r   ra   r4   r   r3   r   r   r   c              3   2   K   | ]  }t        |        y wr  r  .0r  s     rv   	<genexpr>z=Test_ttest_ind_common.test_ttest_many_dims.<locals>.<genexpr>  s      9aq 9   )r   r  r(  r3  rh   r  r   r
  r	  rQ  tiler  r  r   r   )rm   r  r  r  r"  r   r  rB  r5  r  r  r  ro   rp   r  
statisticspvaluesindicesxiyir  s                        rv   test_ttest_many_dimsz*Test_ttest_ind_common.test_ttest_many_dims  s    			qIINN1aAq!,IINN1aAq)ooa44t4 1aq!Q1a q!Q1}r27B7$7S]]1aAq=1^^	%SZZ1aA.[[	" KK#56B?KK#56B?XXe_
((5/ 95 9: 	+G7B7B??2r;;d;D"&..Jw#{{GG	+ 	
CMM2,rx   )r  r  r  rV   ra   c                 L   t         j                  j                  dd      j                  d      }t         j                  j                  dd      j                  d      }t         j                  |d   d   d<   t         j                  |d   d   d<   t        j
                  t        j                  ||z   |	            }t               5 }t        j                  d
      5  |j                  t        d       |j                  t        d       t        j                  ||fd|i|}d d d        d d d        t        j
                  j                        }t        ||       t        j
                  |j                        }	t        |	|       y # 1 sw Y   hxY w# 1 sw Y   lxY w)Nr[   )r4   r2   r[   r  r  r   r1   r2   r5   rU   r  r  z'invalid value encountered in less_equalr  rV   )r   r  randintr  rl   r  r  r   r  r   r   rh   r  r	  r	   r
  )
rm   r  rV   r  r"  r  r   r   p_nansstatistic_nanss
             rv   test_nans_on_axisz'Test_ttest_ind_common.test_nans_on_axis  sI    IIbz299'BIIbz299'BVV!Q
VV!Q
 88BFF1q5t45   	;CX)F 	;JJ~@BJJ~'@A//!Q:T:T:C		; 	;
 #**%68,#--0>84	; 	; 	; 	;s%   
F!AF'FF	FF#N)	r   r   r   r,  r  r  r  r  r  r   rx   rv   r  r    s     [[[[VsA&N'-rlB&8!B  D [[[4-"-}!=  ?!-?D !-F [[VsA&N'-rlB&8!B  D [[Vb!W-5 .D5rx   r  c            	          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
                  j                  de      d        Zd Zd Z	ej
                  j                  dd      d        Z
d Zeej
                  j                  dd      ej
                  j                  d      d                       Zej
                  j                  d!g d"      d#        Zy$)%Test_ttest_trimrm  r  r  g@g9(?ger  )r  g33333`@r]   g33333^@g(\P@r  gfffffڇ@gBM)u?g]@gyd?g	s5v@g{Gz?r  r  r  r  ffffff?r  r  r  r  r  r  r@   g@r  r=   r:   r  g333333@r  r5  g@r  gn4aƂg?^)g,
gm?giI@gE|x!gvwQ?glfPg_)gXG~?g=n@g8$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                 t    t        j                  |||d      \  }}t        ||d       t        ||d       y)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rh   r  r   )rm   r  r"  r  rj  r  r
  r	  s           rv   test_ttest_compare_rz$Test_ttest_trim.test_ttest_compare_r  s6    @ "OOAqtuM	6	2E2/rx   c                     g d}g d}t        j                  ||dd      \  }}t        |dd       t        |d	d       y )
N)r]   rY   r  r  r  ,   r]   rY   r  r  r  r  )rc   r  rY   r]   rz     r  rc   r  rY   r]   rz  r  r  g
ףp=
?Fr  gRbv?r\  r  gOi?r  rm   r  r"  r
  r	  s        rv   test_compare_SASz Test_ttest_trim.test_compare_SAS&  sA     =D "OOAqseL	6t4	8$7rx   c                     g d}g d}t        j                  ||d      \  }}t        |dd       t        |dd       y	)
a  
        The PairedData library only supports unequal variances. To compare
        samples with equal variances, the multicon library is used.
        > library(multicon)
        > a <- c(2.7, 2.7, 1.1, 3.0, 1.9, 3.0, 3.8, 3.8, 0.3, 1.9, 1.9)
        > b <- c(6.5, 5.4, 8.1, 3.5, 0.5, 3.8, 6.8, 4.9, 9.5, 6.2, 4.1)
        > dv = c(a,b)
        > iv = c(rep('a', length(a)), rep('b', length(b)))
        > yuenContrast(dv~ iv, EQVAR = TRUE)
        $Ms
           N                 M wgt
        a 11 2.442857142857143   1
        b 11 5.385714285714286  -1

        $test
                              stat df              crit                   p
        results -4.246116897032513 12 2.178812829667228 0.00113508833897713
        r  r  r  r  gR?r  r  g^Nr  r  s        rv   test_equal_varzTest_ttest_trim.test_equal_var5  s@    & DC!OOAqr:	6 3%@	#5EBrx   z	alt,pr,tr))rT  gjΜ>5?r  )rR  gn4aƂW?r  c                     g d}g d}t        j                  ||dd|      \  }}t        ||d       t        ||d       y)	z
        > library(PairedData)
        > a <- c(2.7,2.7,1.1,3.0,1.9,3.0,3.8,3.8,0.3,1.9,1.9)
        > b <- c(6.5,5.4,8.1,3.5,0.5,3.8,6.8,4.9,9.5,6.2,4.1)
        > options(digits=16)
        > yuen.t.test(a, b, alternative = 'greater')
        r  r  r  F)r  r  rY  r  r  Nr  )rm   rd  r  rj  r  r"  r
  r	  s           rv   test_alternativesz!Test_ttest_trim.test_alternativesO  sE     DC!OOAqrU8;=	6/	2E2rx   c           	         d}t        t        |      5  d}t        j                  t        |      5  t        j                  ddgddgdd       d d d        d d d        t        t        |      5  d	}t        j                  t        |      5  t        j                  ddgddgddd
       d d d        d d d        y # 1 sw Y   pxY w# 1 sw Y   txY w# 1 sw Y   *xY w# 1 sw Y   y xY w)Nz>Use of `permutations` is incompatible with with use of `trim`.r   z5Arguments {'permutations'} are deprecated, whether...r   r1   r2   r  )r  r  z9Arguments {.*'random_state'.*} are deprecated, whether...)r  r  r  )r   r  r,  r-  r  rh   r  )rm   r   rt  s      rv   test_errors_unsupportedz'Test_ttest_trim.test_errors_unsupportedc  s    P.e< 	IMG0@ IAARaHI	I
 .e< 	0QG0@ 0AARa-.00	0 	0I I	I 	I0 0	0 	0sF   CB?C1C#C.C#?C	CCC 	C##C,Tr  r  rH   c                 *   d}|j                  d      |j                  d      dz   }}t        |      rt        j                  ||d       y t	        j
                  t        |      5  t        j                  ||d       d d d        y # 1 sw Y   y xY w)Nz3Use of `trim` is compatible only with NumPy arrays.r[   r   r  r  r   )r   r+   rh   r  r,  r   r  )rm   rn   rt  r  r"  s        rv   r  z5Test_ttest_trim.test_permutation_not_implement_for_xpq  sr    
 Hyy}biimAo1B<OOAqs+2'B 013/0 0 0s   'B		Br  )gɿr:   r   c                     d}t        t        |      5  t        j                  ddgddg|       d d d        y # 1 sw Y   y xY w)Nz/Trimming percentage should be 0 <= `trim` < .5.r   r   r1   r  )r   r   rh   r  )rm   r  r   s      rv   test_trim_bounds_errorz&Test_ttest_trim.test_trim_bounds_error~  s>    A:U3 	7OOQFQF6	7 	7 	7s	   :AN)r   r   r   r  r,  r  r  r  r  r  r  r  r'   rH   r  r  r!  r   rx   rv   r	  r	    sE   	O%8:M			1?	/	5	1?	/	6	@	@	,b	2
H
  "34Db	JKF& [[-v6!0 7!0F8C4 [[[N3	3 0 [[!!4)D " F[[/00 1F 0 [[V\27 37rx   r	  c                   &   e Zd Z ej                  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<   dddej                  ej                  ged<   dddej                  ej                  ged<   dddej                  ej                  ged<   dd d!ej                  ej                  ged"<   dd d#ej                  ej                  ged$<   dd d%ej                  ej                  ged&<   ej                  j                  d'g d(      ej                  j                  d)d*d+g      ej                  j                  d,d-d.g      d/                      Zy0)1Test_ttest_CI)r2   r1   r1   r4   )r  )gͿe13@gv7?gę"Ͽg8 {M(?rZ  r$  r%  gv7?gx_?r}  g
/?gD .ɿ)r1   r   r   )reϿ-</&@g?JJ?gbտg3Պ?)r   r   r   r&  r'  g?JJ?gF?)r   r   r   g{?gads2ѿ)r1   r   r   gs"%οr  gW"?)r   r   r   gW"?r   r   r   g:T'?)r1   r   r   g:пrY   g0:5?r  g0:5?r6  g be?)r1   r   r   rY  r  r  FTr  r   r  c                    |r|rt        j                  d       |r t        |      st        j                  d       t        j
                  j                  d      }|j                  |j                  d            }|j                  |j                  d            }t        j                  |||||      }ddd	d
}	| j                  |	|   t        |      t        t	        j                  |            f   }
|
\  }}}}}d}t        |j                  |j                  |      |       t        |j                  |j                  |      |       t        |j                   |j                  |      |       |s`|j#                  d      }t        |j$                  |j                  |      |       t        |j&                  |j                  |      |       y y )Nz3Discrepancy in `main`; needs further investigation.z*`trim` is only compatible with NumPy inputl   'Nk' r\   r^   )rY  r  r  r   r   r1   r  rj  rZ  r  )r,  xfailr+   r  r   r  r  re   rh   r  r   r  ceilr/   r
  r  r	  rF  rI  rJ  )rm   rY  r  r  rn   r  ro   rp   r   r6  r  r
  r  r	  rI  rJ  r[  rb  s                     rv   test_confidence_intervalz&Test_ttest_CI.test_confidence_interval  sg    LLNOKKDEii##$78JJszz"~&JJszz"~&ooa(1> &'a@ff\+.IBGGDM@RRS+.(	2vsDrzz)'<4H

2T:

BJJv$6TB((-BBFFBJJsO$?BGGRZZ%5DA rx   N)r   r   r   r   r  r   r  rl   r,  r  r  r,  r   rx   rv   r#  r#    s   B 	|$ANAgJibffWlKAgJiM266JAgJLAgJibffWlKAgJiL"&&IAgJ%r+=rvvrvvNAgJ%r+=rvvrvvNAgJ%r+=rvvrvvNAgJ%r+=rvvrvvNAgJ%r+=rvvrvvNAgJ%r+=rvvrvvNAgJ[[],LM[[[5$-8[[VaX.B / 9 NBrx   r#  c            	      D   t         j                  j                  d       t         j                  j                  dddddd      } t         j                  j                  ddddd      }t	        | |fd	
      }t        j
                  | d      } t        j
                  |d   d      }t        d |j                  D         D ]`  }|\  }}}}}}	|| j                  d	   k  r| ||||||	f   |||||||	f   k(  r6J |||||| j                  d	   z
  ||	f   |||||||	f   k(  r`J  y )Nr   r4   r3   r2   r   r5   r7   r1   rb   rU   r  )N.r  c              3   2   K   | ]  }t        |        y wr  r  r  s     rv   r  z.test__broadcast_concatenate.<locals>.<genexpr>  s     5585r  )r   r  r(  r3  r   r  r   r  )
r  r"  r  indexr  rB  r5  r  r?  r@  s
             rv   test__broadcast_concatenater0    s1    IINN1
		q!Q1a(A
		q!Q1%A1vB/A
%&A
)01A5QWW56 L 1aAqqwwr{?Q1aA%&!Aq!Q1,<*====Q1a!''"+oq!34!Q1a:J8KKKKLrx   c                    | j                  g d      }| j                  g d      }| j                  d      }| j                  d      }t        j                  ||d      \  }}t        ||       t        ||       t        j                  t        ||      ddi\  }}t        ||       t        ||       | j                  g d      }| j                  d	      }| j                  d
      }t        j                  ||d      \  }}t        ||       t        ||       t        j                  t        ||      ddi\  }}t        ||       t        ||       | j                  d      }| j                  d      }| j                  d      }| j                  d      }| j                  || g      }	| j                  ||g      }
| j                  ddd      }| j                  ddd      }| j                  ddd      }| j                  ||g      }| j                  ||g      }t        j                  ||dd      \  }}t        ||       t        ||       t        j                  t        ||      ddi\  }}t        ||       t        ||       t        j                  ||dd      \  }}t        ||       t        ||       t        j                  t        ||      ddi\  }}t        ||       t        ||       t        j                  |j                  |j                  dd      }t        |j                  |	       t        |j                  |
       t        |j                  |j                        }t        j                  |ddi}t        |j                  |	       t        |j                  |
       t        j                  ||dd      }t        |j                  |	       t        |j                  |
       t        ||d      }t        j                  |ddi}t        |j                  |	       t        |j                  |
       y )Nri  r
  g9(?geFr  r  r  gJ?g9ʿr  g@[?gωұ?ghG?r   r~  r  r4   r  r   r  rU   )re   rh   r  r/   r  r  r  r  r  r
  r	  )rn   r  r"  r  rj  r  r0  	tr_uneq_n	pr_uneq_nr  r  rvs3rU  rT  rl  rm  r   r&  s                     rv   test_ttest_ind_with_uneq_varr6    s    	

< A


?#A	'	(B	)	*B??1a51DAqArAr%%{1a'8JEJDAqArAr


#$A	'	(B	)	*B??1a51DAqArAr%%{1a'8JEJDAqArAr 
&	'B

./I	'	(B

./IJJRCy!EJJBx E;;q#r"D;;q#s#D;;q#s#Dhhd|$Ghhd|$G??4A?DAqArAr%%{4'>P%PDAqArAr??4A?DAqAy!Ay!%%{4'>P%PDAqAy!Ay!
//'))WYYQ%
HCCMM5)CJJ&wyy')),D

$
$d
<e
<CCMM5)CJJ&
//'7e
DCCMM5)CJJ&wa0D

$
$d
<e
<CCMM5)CJJ&rx   c                    | j                  d      }| j                  d      }t        j                  t        d      5  t        j                  ||d      \  }}d d d        t        | j                  | j                                t        | j                  d             t        j                  d      5  t        j                  ||d      \  }}t        || j                  | j                               t        || j                  | j                               | j                  d	| j                  gd
d	gg      }t        j                  || j                  d      d      \  }}t        || j                  dt        j                  g             t        || j                  dt        j                  g             d d d        y # 1 sw Y   qxY w# 1 sw Y   y xY w)Nr2   r  r   Fr2  r   r  r  r   ra   rO  r   )r  r  r,  r-  r   rh   r  r0   re   r  r   r  rl   )rn   ro   rp   r  r0  rp  s         rv   test_ttest_ind_zero_divisionr9  ;  sc    	A

A	n,E	F 6q!u516Arzz266'*+Arzz"~&		" 	5q!u512::bff-.2::bff-. zzArvv;Q01tRXXf%5G12::r266l342::r266l34	5 	56 6
	5 	5s   G	9DG	GGc                     t         j                  dddg} g d}t        j                  | |d      }t        j                  || d      }t	        |j
                  |j
                   d       t	        |j                  |j                  d       t        j                  || d	d        }t	        ||d       t	        |d
d       y )NrD  r  r   rt  r   r   r  r  r   )g8HgW@?)r   rl   rh   r  r   r
  r	  rv  s        rv   test_ttest_ind_nan_2nd_argr;  T  s    	c3AA	A&	1B	A&	1BBLL2<<-e<BIIryyu5 
AabE	"BB' BC rx   c                 4   t        |       r]t        j                  t        t              5  t        j                  | j                  g       | j                  g             }d d d        n4t        j                  | j                  g       | j                  g             }t        t
        j                  j                        sJ | j                  | j                        d   }t        |j                  |       t        |j                  |       y # 1 sw Y   zxY w)Nr   r   )r+   r,  r-  r   r   rh   r  re   r  rz  r{  rl   r0   r
  r	  )rn   r   r  s      rv   #test_ttest_ind_empty_1d_returns_nanr=  j  s     |\\,4IJ 	B//"**R."**R.AC	B 	B oobjjnbjjn=c5??66777
**RVV
R
 CCMM3'CJJ$	B 	Bs   5DDry   rz   c                    |j                  d      }|j                  |       } t        j                  j	                         5 }|j                  t        t               t        j                  || d      }d d d        t        t        j                  j                        sJ |j                  ||j                        }t        |j                   |       t        |j"                  |       y # 1 sw Y   yxY wr  )r  re   r   r  r   r   r   r   rh   r  r  rz  r{  r   rl   r0   r
  r	  )r"  r  rn   r  r   r   r  s          rv   test_ttest_ind_axis_size_zeror?  y  s     	A


1A		%	%	' -3

%'<=ooa,- c5??66777WW^W?NCMM>2CJJ/- -s   3C,,C5c                 0   | j                  d      }| j                  d      }t        j                  ||d      }t        |t        j                  j
                        sJ |j                  j                  dk(  sJ |j                  j                  dk(  sJ y r  	r  rh   r  r  rz  r{  r
  r  r	  rn   r  r"  r   s       rv    test_ttest_ind_nonaxis_size_zerorC    s|     	A
A
//!QQ
'Cc5??66777=='''::v%%%rx   c                 0   | j                  d      }| j                  d      }t        j                  ||d      }t        |t        j                  j
                        sJ |j                  j                  dk(  sJ |j                  j                  dk(  sJ y )N)r   r6   r   r  r   rU   r  rA  rB  s       rv   2test_ttest_ind_nonaxis_size_zero_different_lengthsrE    s|     	A
A
//!QQ
'Cc5??66777=='''::v%%%rx   z"Other backends don't like integersr   c                    | j                  ddg      | j                  ddg      }}| j                  ddg      | j                  ddg      }}| j                  ddg      | j                  dd	g      }}t        j                  ||||||       y )
Nr   r1   r2   r3   r4         r~     )re   rh   r  )rn   mean1mean2std1std2nobs1nobs2s          rv   test_gh5686rP    s    
 ::q!f%rzz1a&'95EQF#RZZA%7$D::sCj)2::sCj+A5E	udE5$Frx   c           	         | j                  d      }| j                  d      }| j                  | j                        }t        j                  ||||||d      }t	        |j
                  |       t	        |j                  |       y )Nr   r   Fr2  )re   rl   rh   r  r0   r
  r	  )rn   zerosixr  r   s        rv   %test_ttest_ind_from_stats_inputs_zerorT    si     ::b>D
**R.C
**RVV
C

$
$T4dD#QV
WCCMM3'CJJ$rx   c                    t         j                  j                  d      }| j                  |j	                  d            }| j                  |j	                  d            }|j                  d      }t        j                  ||dd      }t        j                  |j                        }t        j                  |t        j
                         j                        j                  d	kD  sJ t        t        j                  ||      |d
       t        j                  ||dd      }t        j                  |j                        }t        j                  |t        j
                         j                        j                  d	kD  sJ t        t        j                  ||      |d
       | j                  g d      | j                  dg      }}t        j                  ||d      }t        |       rdnd}t        |j                  | j                  d      |       t        |j                  | j                  d      |       y )Nl   bQ )r4  r1   r  )r4  r   r~  Tra   )r  rV   r  r  r  )r1   r2   r4   r;   r2  r\  r  gzNd?rZ  gJ?)r   r  r  re   r  rg  rh   r  r	  r  r  r   quantiler,   r/   r
  )rn   r  ro   rp   rT  r   r	  r[  s           rv   test_ttest_uniform_pvaluesrW    s    ))


0C


3::::./A


3::::./AA
//!Q$R
8CZZ

#F>>&%--/"5"56==CCCBKK*AD9
//!Q$R
8CZZ

#F>>&%--/"5"56==CCCBKK*AD9
 ::i "**cU"3qA
//!Q$
/CB<4UDCMM2::o#>TJCJJ

> :Frx   c                     |j                  |dk(        }|j                  |dk(        }| dk  |z  | dkD  |z  z  }|j                  ||dz  d|dz  z
        S )NrR  rT  r   r1   r   )re   r  )r  r0  rd  rn   rR  rT  r  s          rv   _convert_pvalue_alternativerY    sc     ::cVm$Djj	)*G
a%4QUg-.A88AqsA!G$$rx   c                 R	   d\  }}}t         j                  j                  dd|||f      }| j                  |      }| j	                  d||f      }t        j
                  ||d      \  }}t        j
                  |dd      \  }}	t        j
                  |d d ddf   d      \  }
}t        ||d	
       t        |d   |
d	
       t        |j                  ||f       | j	                  |d|f      }t        j
                  ||d      \  }}t        j
                  |dd      \  }}	t        j
                  |dd d df   d      \  }
}t        ||d	
       t        |d   |
d	
       t        |j                  ||f       | j	                  ||df      }t        j
                  ||d      \  }}t        j
                  |dd      \  }}	t        j
                  |ddd d f   d      \  }
}t        ||d	
       t        |d   |
d	
       t        |j                  ||f       t        j
                  | j                  g d      d      \  }}t        | j                  |      | j                  | j                               t        || j                  d             t        j
                  |d d d d d d f   d      \  }}t        j
                  |d d d d d d f   dd      \  }}t        ||d|       }t        ||       t        ||       t        j
                  |d d d d d d f   dd      \  }}t        ||d|       }t        ||       t        ||       t        j                  d      5  t        j
                  | j                  g d      d      }t        |j                  | j                  | j                                t        |j"                  | j                  | j                                | j                  dt        j                   gddgg      }t        j
                  |d      }t        |j                  | j                  d| j                   g             t        |j"                  | j                  d| j                   g             d d d        y # 1 sw Y   y xY w)Nr[   r  r  r4   r[   r  r   r   rU   r   r  rZ  r  r1   )r   r   r   r   rT  rX  rR  r  r8  r  )rh   r  r  re   r  r  r/   r   r  r0   rh  r  rY  r   r  r
  rl   r	  )rn   r+  r,  n3rvn1r  r  r  r  p2r  p3r  r0  rj  r  pcr   rp  s                      rv   test_ttest_1samp_newra    s    JBB::>>arR>=D::dD ggq"bk"GtW15FBtRa0FBtAq!G}b1FBB'BtHbu-B8$ggr1bk"GtW15FBtRa0FBtAq!G}b1FBB'BtHbu-B8$ggr2qk"GtW15FBtRa0FBtAq!G}b1FBB'BtHbu-B8$ RZZ5r:DAqBFF1Irzz"&&12Arzz"~&tAq!G}b1FBT!Q']BIFDAq	$RY	;BArArT!Q']BFCDAq	$RVR	8BArAr		" 	>

< 8"=rzz"&&'9:

BJJrvv$67 zzB<#r34b)rzz2rvv,'?@

BJJBFF|$<=	> 	> 	>s   1D#RR&z(Only NumPy has nan_policy='omit' for nowc                 2   d\  }}}t         j                  j                  dd|||f      }| j                  |      }| j                  |ddddd	d
f<   t        j
                  |d d d d d d f   dd      \  }}t        j
                  |d d d d d d f   ddd      \  }}t        ||d|       }	t        ||	       t        ||       t        j
                  |d d d d d d f   ddd      \  }}t        ||d|       }	t        ||	       t        ||       y )N)r4   r[   r  r4   r[   r  r   r1   r   r2   r3   r7   r   r   r   rT  r  rR  )rh   r  r  re   rl   r  rY  r/   )
rn   r+  r,  r\  r]  rj  r  r  r0  r`  s
             rv   test_ttest_1samp_new_omitrc  0  s   
 JBB::>>arR>=D::dD&&D1ac1Q3tAq!G}bVDFBT!Q']B6)24DAq	$RY	;BArArT!Q']B6)/1DAq	$RVR	8BArArrx   c                    t         j                  j                  d      }|j                  d      }| j                  |      }d}| j                  |j                  d            }t	        j
                  t        |      5  t        j                  ||d       d d d        | j                  |j                  d	            }t        j                  ||d      }|j                  j                  d
k(  sJ t        |      }|j                         \  }}|j                  |d      }|j                  |d      }t        j                  ||d      }| j                  | j                  d| j                        |j                   j                        }	t#        |j                   |	       t        j                  ||d      }t#        |j                   |	       y # 1 sw Y   @xY w)Nl   iI}pC )r   r  r  r  z%`popmean.shape\[axis\]` must equal 1.)r4   r1   r  r   r  )r  rV   )r4   r   r  )r4   r  rU   g?r5  )r   r  r  re   r,  r   r   rh   r  r
  r  r)   rF  r  ru  r   r	  r/   )
rn   r  ro   rt  r  r   r   r  ri  r  s
             rv   test_ttest_1samp_popmean_arrayre  J  s    ))

 3
4C


$A


1A6Gjj45G	z	1 7!W267 jj45G


AwR
8C==')))a G""$DAqAB'AAB'A


Aqr
2C
//"**T*<cjj>N>N
OCCJJ$


Aqr
2CCJJ$#7 7s   GG"c                   z   e Zd Zed        Z edd      ej                  j                  d      ed                      Z	d Z
ed        Zd	 Z edd      ej                  j                  d      ed
                      Z edd      ej                  j                  d      ed                      Zed        Zy)TestDescribec                    t               5 }t        j                  dd      5  |j                  t        d       t        j                  |j                  d      d         \  }}}}}}d d d        d d d        dk(  sJ t        d   |j                  d             t        |d   |j                  d             t        |j                  d             t        |j                  |j                               t        |j                  |j                               t        |j                  |j                               y # 1 sw Y   xY w# 1 sw Y   xY w)Nr  r  r  r   r   r   r   )
r   r   r  r   r   rh   describere   r0   rl   )	rm   rn   r   r@  r  r?  rj  skkurts	            rv   test_describe_scalarz!TestDescribe.test_describe_scalarm  s     	GCkk(8<	GJJ~'JK$)NN2::b>"3E$F!Ar1aT	G 	G Avv1rzz#/1rzz#/2::c?+2::bff-.BJJrvv./bjj01	G 	G 	G 	Gs#   EAE(EE	EEry   rz   rE   rH   c                    t        |j                  d            }|j                  |j                  d      |j	                  dd      f      }d}|j                  g d      |j                  g d      f}|j                  g d      }|j                  g d	      }|j                  d
gdz        }|j                  dgdz        }	t        j                  |      \  }
}}}}}|
|k(  sJ t        |d   |d          t        |d   |d          t        ||d|j                  |j                        j                  z         t        ||d|j                  |j                        j                  z         t        ||       t        ||	       t        j                  |j                  d      \  }
}}}}}|
|k(  sJ t        |d   |d          t        |d   |d          t        ||d|j                  |j                        j                  z         t        ||d|j                  |j                        j                  z         t        ||       t        ||	       y )Nr   r+  r1   r3   rD  r4   r   r   r   r   rD  rD  rD  rD  ffffff?rr  rr  rr  )r  r  r  r  H,p ?r3   TUUUUUr   r   rZ  rU   )r)   re   r  r  r   rh   ri  r0   r/   r   r3  epsr  rm   rn   r   ro   ncmmcmcvcskckurtcr@  r  r?  rj  rj  rk  s                   rv   test_describe_numbersz"TestDescribe.test_describe_numbers{  s    ""**R.1NNBGGFORWWVR-@ABzz*+RZZ8H-IJZZ,-ZZ,-jj-.23

./!34 %q 12q!RBww1s1v&1s1v&2A(9(=(=$=>2A(9(=(=$=>C e$ %qss ;2q!RBww1s1v&1s1v&2A(9(=(=$=>2A(9(=(=$=>C e$rx   c                 >   t        j                  d      }t         j                  |d<   d\  }}d}d}d}d}t        j                  |d	      \  }}	}
}}}t        ||       t        |	|       t        |
|       t        ||       t        ||       t        ||d
       y )Nr   r8   )r8   )r   r   r   rA   r   gGzr   r   r^   r  )r   r   rl   rh   ri  r   r   )rm   ro   rw  rx  ry  rz  r{  r|  r@  r  r?  rj  rj  rk  s                 rv   describe_nan_policy_omit_testz*TestDescribe.describe_nan_policy_omit_test  s    IIcNvv!!C# %qV D2q!RQRQQ!"c*!$r:rx   c                    |j                  d      }|j                  |dk(  |j                  |j                        |      }d}t	        j
                  t        |      5  t        j                  |d       d d d        t        j                  |d      \  }}}}}}	|j                  |j                        d   }
|d	k(  sJ t        |d
   |
       t        |d   |
       t        ||
       t        ||
       t        ||
       t        |	|
       t        |      r| j                          n=d}t	        j
                  t        |      5  t        j                  |d       d d d        d}t	        j
                  t        |      5  t        j                  |d       d d d        y # 1 sw Y   2xY w# 1 sw Y   TxY w# 1 sw Y   y xY w)Nr   r8   r   r   r   r   r=  r   r[   r   r   z9`nan_policy='omit' is incompatible with non-NumPy arrays.r   r   r   )r   r  re   rl   r,  r   r   rh   ri  r0   r+   r  )rm   rn   ro   rt  r@  r  r?  rj  rj  rk  r  s              rv   test_describe_nan_policy_otherz+TestDescribe.test_describe_nan_policy_other  ss   IIcNHHQT2::bff-q11]]:W5 	2NN11	2 !&q[ I2q!Rjj $Bww1s#1s#33C c"B<..0QGz9 5qV45 1]]:W5 	3NN12	3 	3+	2 	2"5 5	3 	3s$   F&F3F?&F03F<?Gc                 p    t        j                  t        j                  d            }d}t	        ||       y )NrN   )r  minmaxrk   variancer  r  )rh   ri  r   r   r   )rm   r  r  s      rv   test_describe_result_attributesz,TestDescribe.test_describe_result_attributes  s)     		".S
FJ/rx   c                 ~   t        |j                  d            }|j                  |j                  d      |j	                  dd      f      }d}|j                  g d      |j                  g d      f}|j                  g d      }|j                  g d	      }|j                  d
gdz        }|j                  dgdz        }	t        j                  |d      \  }
}}}}}|
|k(  sJ t        |d   |d          t        |d   |d          t        ||       t        ||       t        ||       t        ||	       y )Nr   r+  rn  rD  r4   ro  rp  rq  )Q?r  r  r  rs  r3   rt  r   r  r   	r)   re   r  r  r   rh   ri  r0   r/   rv  s                   rv   test_describe_ddofzTestDescribe.test_describe_ddof  s    ""**R.1NNBGGFORWWVR-@ABzz*+RZZ8H-IJZZ,-ZZ01jj-.23

./!34 %qq 92q!RBww1s1v&1s1v&22C e$rx   c                 ^   t        |j                  d            }|j                  |j                  d      |j	                  dd      f      }d}|j                  d      |j                  d      f}|j                  d      }|j                  d      }|j                  d      }|j                  d	      }	t        j                  |d 
      \  }
}}}}}|
|k(  sJ t        |d   |d          t        |d   |d          t        ||       t        ||       t        ||       t        ||	       y )Nr   r+  rn  rD  r  rr  ga+?gE,p ?gUUUUUUrU   r   r   r  rv  s                   rv   test_describe_axis_nonez$TestDescribe.test_describe_axis_none  s    ""**R.1NNBGGFORWWVR-@AB zz#

30ZZ*+ZZ+,jj+,

./ !&qt <2q!RBww1s1v&1s1v&22C e$rx   c                     d}t        j                  t        |      5  t        j                  |j                  g              d d d        y # 1 sw Y   y xY w)NzThe input must not be empty.r   )r,  r   r   rh   ri  re   )rm   rn   rt  s      rv   test_describe_emptyz TestDescribe.test_describe_empty  s>    0]]:W5 	+NN2::b>*	+ 	+ 	+s   %AAN)r   r   r   r'   rl  rH   r,  r  r  r}  r  r  r  r  r  r  r   rx   rv   rg  rg  l  s    2 2 f%56[[/0%  1 7%6;" 3 3:0 f%56[[/0%  1 7%$ f%56[[/0%  1 7%. + +rx   rg  c                      e Zd Zd Z edd      ej                  j                  d      ej                  j                  dg d      d                      Z	 edd      ej                  j                  d      d	               Z
y
)NormalityTestsc                    t        t        | j                        }|j                  d      }t	        |      rxt        j                  t        t              5   ||      }|j                  |j                        }t        |j                  |       t        |j                  |       d d d        y d}t        j                  t        |      5   ||       d d d        y # 1 sw Y   y xY w# 1 sw Y   y xY w)Nr   r   z...requires at least...)r6  rh   	test_namere   r+   r,  r-  r   r   rl   r0   r
  r	  r   r   )rm   rn   r  ro   r   r  rt  s          rv   test_too_smallzNormalityTests.test_too_small  s    5$..1JJrNB<08MN 1qkjj(s3

C0	1 1 0Gz9  1 1 s   AC	C*C'*C3ry   rz   rE   rH   rY  r  c                    | j                   }t        t        |      }|j                  | j                  d         }|j                  | j                  d         }i }|dv r=|dv r$|dk(  r|dz  nd|dz  z
  }|dk(  rd|z
  n|}||d<   nt        j                  d	       |j                  d
      dz  } ||fi |}	|	\  }
}t        |
|       t        ||       t        |	d|       y )Nr   r   >   rR  rT  >   skewtestkurtosistestrR  r1   r  rY  z,`alternative` not available for `normaltest`)r  ra   r   r   r1   r  r  ra   r   r   r1   r  r  ra   r   r   r1   r  r  ra   r   r   r1   r  r  r  )	r  r6  rh   re   case_refr,  r  r/   r   )rm   rY  rn   r  r  ref_statisticr  r'  ro   r   res_statistic
res_pvalues               rv   test_against_RzNormalityTests.test_against_R  s     NN	5),zz$--"23ZZa 01
--88-8F-BZ\*UV,
-6*-DQz\*
(3}%JKJJ./2q#F#$'!z}5
J/C!8R@rx   c                    t        t        | j                        }|j                  d      }|j	                  |j
                  |j                        }|j                  |dk(  ||      }t        j                  d      5   ||      }t        |j                  |       t        |j                  |       d d d        y # 1 sw Y   y xY w)Nr  r5  r  r  r  )r6  rh   r  r   re   rl   r3  r  r   r  r0   r
  r	  )rm   rn   r  ro   r  r   s         rv   test_nanzNormalityTests.test_nan7  s     5$..1IIcNjjqwwj/HHQ"Wc1%[[* 	-1+CCMM3/CJJ,	- 	- 	-s   ?5B==CN)r   r   r   r  rH   r,  r  r  r  r  r  r   rx   rv   r  r    s     f%56[[/0[[],LMA N 1 7A< f%56[[/0	- 1 7	-rx   r  c                        e Zd ZdZdZd Zd Zy)TestSkewTestr  )gvO?gbH`?c                     t         j                  j                  ddd      }|j                  |      }t        j                  |d      j
                  }t        ||j                  d|j                        d	
       y )Nr   r4  {   )r  r  r  rT  rX  r   r5  g?̔>r  )rh   skewnormr  re   r  r	  r/   r3  )rm   rn   r  a1_xpr]  s        rv   test_intuitivezTestSkewTest.test_intuitiveH  s]    ^^!%cB

2~~e;BBbjjEKKj@tLrx   c                 4   t        j                  |j                  d             |j                  d      }t        |      rt	        j
                  t        t              5  t        j                  |      }|j                  |j                        }t        |j                  |       t        |j                  |       d d d        y d}t	        j                  t        |      5  t        j                  |       d d d        y # 1 sw Y   y xY w# 1 sw Y   y xY w)Nr   r   r   z+`skewtest` requires at least 8 observations)rh   r  r   r+   r,  r-  r   r   re   rl   r0   r
  r	  r   r   rm   rn   ro   r   r  rt  s         rv   "test_skewtest_too_few_observationsz/TestSkewTest.test_skewtest_too_few_observationsO  s     	ryy~&IIcNB<08MN 1nnQ'jj(s3

C0	1 1 DGz9 "q!" "1 1" "s    AD#DDDN)r   r   r   r  r  r  r  r   rx   rv   r  r  D  s    I9HM"rx   r  c                   (   e Zd ZdZdZ edd      ej                  j                  d      d               Z	 edd      ej                  j                  d      d               Z
 edd      ej                  j                  d      d	               Zy
)TestKurtosisTestr  )gglg2J@?ry   rz   rE   rH   c                     t         j                  j                  dd      }|j                  |      }t        j                  |d      j
                  }t        ||j                  d|j                        d	       y )
Nr4  r  )r  r  rT  rX  r   r5  r  r  )rh   laplacer  re   r  r	  r/   r3  )rm   rn   r  a2_xpr]  s        rv   r  zTestKurtosisTest.test_intuitivee  s_     ]]E<

2!!%Y?FFbjjEKKj@uMrx   c           
         g d}t        j                  t        |      D cg c]  \  }}t        j                  ||       c}}      }|j	                  ||j
                        }t        j                  |      d   dk  sJ y c c}}w )N)
r  r   :   r6   r   )   r   r   r      r5  r   r  )r   r  	enumerater   re   r   rh   r  )rm   rn   r}  r  r  ro   s         rv   test_gh9033_regressionz'TestKurtosisTest.test_gh9033_regressionn  so    
 7II61BCArwwq!}CDJJq

J+!!!$Q'$... Ds    B
c                    t        j                  |j                  d             d}t        j                  t
        |      5  t        j                  |j                  d             d d d        t        j                  t
        |      5  t        j                  |j                  d             d d d        |j                  d      }t        |      rt        j                  t        t              5  t        j                  |      }|j                  |j                        }t        |j                  |       t        |j                  |       d d d        y d}t        j                  t         |      5  t        j                  |       d d d        y # 1 sw Y   /xY w# 1 sw Y   xY w# 1 sw Y   y xY w# 1 sw Y   y xY w)Nr  z+`kurtosistest` p-value may be inaccurate...r   rN   g      3@r   z/`kurtosistest` requires at least 5 observations)rh   r  r   r,  r-  r  r+   r   r   r  re   rl   r0   r
  r	  r   r   )rm   rn   rt  ro   r   r  s         rv   &test_kurtosistest_too_few_observationsz7TestKurtosisTest.test_kurtosistest_too_few_observationsx  sK    	299T?+?\\+W5 	/ryy~.	/\\+W5 	0ryy/	0 IIcNB<08MN 1nnQ'jj(s3

C0	1 1 HGz9 &""1%& &	/ 	/	0 	0
1 1& &s1   %F
%F!2AF-5F9F!F*-F69GN)r   r   r   r  r  rH   r,  r  r  r  r  r  r   rx   rv   r  r  a  s    I:Hf%56[[/0N 1 7N f%56[[/0/ 1 7/ f%56[[/0& 1 7&rx   r  c                       e Zd ZdZdZy)TestNormalTest
normaltest)gاc@g?N)r   r   r   r  r  r   rx   rv   r  r    s    I9Hrx   r  c                       e Zd Zej                  j                  d       ej                  j                  dd      \  ZZe	j                  j                  dg d      d        Zd Zd Zy	)
TestRankSumsr   r1   r[   rY  rv  c                     t        j                  | j                  | j                  |      j                  }t        j
                  | j                  | j                  d|      j                  }t        ||       y )NrX  F)use_continuityrY  )rh   ranksumsro   rp   r	  mannwhitneyur   )rm   rY  rz  r  s       rv   test_ranksums_result_attributesz,TestRankSums.test_ranksums_result_attributes  s\     ~~dffdff*577=v 	!!$&&$&&.9;;A6 	d#rx   c                 p    t        j                  | j                  | j                        }t	        |d       y )Nr  )rh   r  ro   rp   r   rm   r   s     rv   test_ranksums_named_resultsz(TestRankSums.test_ranksums_named_results  s%    nnTVVTVV,C!89rx   c                     t        t        d      5  t        j                  | j                  | j
                  d       d d d        y # 1 sw Y   y xY w)Nz`alternative` must be 'less'r   r   rX  )r   r   rh   r  ro   rp   r#  s    rv   ru  z"TestRankSums.test_input_validation  s>    :-KL 	ANN466466x@	A 	A 	As   -AAN)r   r   r   r   r  r(  r3  ro   rp   r,  r  r  r  r  ru  r   rx   rv   r  r    sZ    IINN199>>!R DAq[[],LM$ N$:Arx   r  c                   x    e Zd Zd Z ed      ej                  j                  d      d               Zd Z	d Z
y)	TestJarqueBerac                     g d}|j                  |      }|j                  ddg      }t        j                  |      }t        |j                  |d          t        |j
                  |d          y )N)g8MK~Ŀg/?g6r=TgGg!J_l gq"?gPHK?r   r   )re   rh   jarque_berar/   r
  r	  )rm   rn   ro   r  r   s        rv   test_jarque_bera_against_Rz)TestJarqueBera.test_jarque_bera_against_R  s^    
;JJqMjj*O<="s1v.

CF+rx   Tr  rH   c                 d   t         j                  j                  d       t         j                  j                  ddd      }t	        j
                  t        |            x}\  }}t	        j
                  t        |            x}\  }}t	        j
                  |j                  dd            x}\  }	}
||cxk(  r6|	cxk(  r0|j                  cxk(  r |j                  cxk(  r|j                  k(  sJ  J ||cxk(  r6|
cxk(  r0|j                  cxk(  r |j                  cxk(  r|j                  k(  sJ  J y )Nr  r   r   r  r1   P  )r   r  r(  r  rh   r  r  tuplerj   r
  r	  )rm   ro   jb_test1JB1r  jb_test2JB2r^  jb_test3JB3r_  s              rv   test_jarque_bera_array_likez*TestJarqueBera.test_jarque_bera_array_like  s     			y!IIQ6*"..tAw7773"..uQx8873"..qyyE/BCC73cbSbH$6$6b(:L:LbPXPbPbbbbbbRV2VVHOOVxVVVVVrx   c                    |j                  g       }t        |      rt        j                  t        t
              5  t        j                  |      }d d d        |j                  |j                        }t        j                  |       t        |j                  |       y d}t        j                  t        |      5  t        j                  |      }d d d        y # 1 sw Y   xY w# 1 sw Y   y xY w)Nr   z%At least one observation is required.)re   r+   r,  r-  r   r   rh   r  rl   r0   r
  r	  r   r   r  s         rv   test_jarque_bera_sizez$TestJarqueBera.test_jarque_bera_size  s    JJrNB<08MN +''*+**RVV$CCMM3/CJJ,=Gz9 +''*+ ++ ++ +s   C?C*C'*C3c                    t         j                  j                  d      }|j                  |j                  d            }t	        j
                  |d       }t	        j
                  |j                  |d            }t        |j                  |j                         t        |j                  |j                         t	        j
                  |d      }t	        j
                  |dd d f         \  }}t	        j
                  |dd d f         \  }}	t        |j                  |j                  ||g             t        |j                  |j                  ||	g             t	        j
                  |j                  d      }
t        |j                  |
j                         t        |j                  |
j                         y )	NiKrX  )r1   r  r  rU   r  r   r   )r   r  rY  re   rh   r  rj   r0   r
  r	  r/   r  )rm   rn   r  ro   r   r  s0r  s1r  resTs              rv   r:  zTestJarqueBera.test_axis  s=   ii###3JJszzwz/0-

1e 45s}}5

CJJ/*""1QT7+B""1QT7+Brzz2r(';<

BJJBx$89  1-t~~6

DKK0rx   N)r   r   r   r  rH   r,  r  r  r  r  r:  r   rx   rv   r  r    sD    , d#[[/0
W 1 $
W+1rx   r  c                   D    e Zd Zg dZg dZdZd Zd Zd Zd Z	d Z
d	 Zy
)TestMannWhitneyU)g	U3@g^3@gt3@g]o5@gzS4@gt< 4@gM	X3@gXmCk4@gLo&3@gfɘ2@g{m;^3@ga A$|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@rY   c                    t        j                  | j                  | j                  d      \  }}t        j                  | j                  | j                  d      \  }}t        j                  | j                  | j                  d      \  }}t        j                  | j                  | j                  d      \  }}t	        ||       t	        ||       t        ||k7         t	        |d       t	        |d       t	        |d       t	        |d       t        |d| j                         t        |d| j                         y )	NrR  rX  rT    r  g=_A?r  glPz.?rh   r  rf   Yr   r   r
   r  	rm   u1r  u2r^  u3r_  u4p4s	            rv   test_mannwhitneyu_one_sidedz,TestMannWhitneyU.test_mannwhitneyu_one_sided  s    ##DFFDFFGB##DFFDFF	JB##DFFDFF	JB##DFFDFFGBRRbRRRRB 1t?O?OPB 3AQAQRrx   c                 8   t        j                  | j                  | j                  d      \  }}t        j                  | j                  | j                  d      \  }}t	        ||       t	        |d       t	        |d       t        |d| j                         y )NrP  rX  r  r  glPz.?r  rh   r  rf   r  r   r
   r  rm   r  r  r  r^  s        rv   test_mannwhitneyu_two_sidedz,TestMannWhitneyU.test_mannwhitneyu_two_sided  sv    ##DFFDFFLB##DFFDFFLBRRRB 2(,(8(8	:rx   c                    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        ||k7         t	        |d       t	        |d       t	        |d       t	        |d       t        |d| j                         t        |d	| j                         y )
NFrR  rX  rT  r  r  gii5?r  g22?r  r  s	            rv   &test_mannwhitneyu_no_correct_one_sidedz7TestMannWhitneyU.test_mannwhitneyu_no_correct_one_sided  s   ##DFFDFFE068B##DFFDFFE09;B##DFFDFFE09;B##DFFDFFE068B 	RRbRRRRB 1t?O?OPB 4$BRBRSrx   c                 <   t        j                  | j                  | j                  dd      \  }}t        j                  | j                  | j                  dd      \  }}t	        ||       t	        |d       t	        |d       t        |d| j                         y )NFrP  rX  r  r  g22?r  r  r  s        rv   &test_mannwhitneyu_no_correct_two_sidedz7TestMannWhitneyU.test_mannwhitneyu_no_correct_two_sided-  s    ##DFFDFFE0;=B##DFFDFFE0;=B 	RRRB 4(,(8(8	:rx   c                 ,   t        j                  g d      }t        j                  g d      }t        t        j                  ||d      d       t        t        j                  ||d      d       t        t        j                  ||d      d	       y )
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   rR  rX  )     @g ?չ>rT  )r  g&)E?rP  )r  g?չ?)r   r   r   rh   r  r*  s      rv   test_mannwhitneyu_onesz'TestMannWhitneyU.test_mannwhitneyu_ones9  s    HH . /& HH & ' 	**1aVD:	< 	**1aYG2	4**1a[I5	7rx   c                 x    d}t        j                  | j                  | j                  d      }t	        ||       y )Nr  rR  rX  )rh   r  rf   r  r   rF  s      rv   #test_mannwhitneyu_result_attributesz4TestMannWhitneyU.test_mannwhitneyu_result_attributesd  s-    ,
  VDC,rx   N)r   r   r   rf   r  r  r  r  r  r  r  r  r   rx   rv   r  r    s9    	-A	NA KS :T(
:)7V-rx   r  c                      g d} g d}t        t        j                  | |      d   dd       d}t        j                  | |      }t        ||       t	        |j
                  |j                         y )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  ffffff@ @333333?r  r;   ?r  r  r  r  r  r  r  r:   r  r  r  r   g/"?r4   r  )r   rh   pointbiserialrr   r   r  r
  )ro   rp   r  r   s       rv   test_pointbiserialr  k  se    	A	&A ,,Q215wB +J


q!
$CZ(#--0rx   c                     t        j                  g d      } t        j                  |       }g d}t	        |d   |       t        j                  g d      }t        j                  |      }t        j                  g d      }t	        |d   |       t        j                  | |      \  }}t        ||d          t        ||d          t        j                  | ||       \  }}}t        ||d          t        ||d          t        ||d          t        j                  d      } t        j                  g dg dg      }t        t        j                  | d	| z        |d
       t        dd      }	t        j                  g d      }
t        j                  |	|
      }t        j                  g d      }t        j                  ||
      }t        j                  |      }t        |d   |d       y )N)r   r1   r3   )r6   r  r6   r   )r   r2   r5   r8   )rz  r   r   rz  r4   )㪪@I?g&>ڿr  r  )5@㪪@gIr  r  r1   r7   r  r\   )r4   r\   r8   r2   r1   r1   )g_v	@g1%?g"u?gZӼ?g!u @gq&@r3   )
r   r   rh   obrientransformr   r   r   r   r  repeat)rx  r  r  ry  r  r  r"  r  ra  valuesrepsrb  transformed_valuess                rv   test_obrientransformr	  |  s   	)	B			r	"BHBqE8$	,	B			r	"Bxx'HBqE8$   R(DAqBqEBqE ##BB/GAq!BqEBqEBqE 
1BXXDFHIF e33B"=vqQ 1b\F88'(D99VT"D #< =yy+T2H""4(FfQi1=rx   rj  )rV   r3  r[  weightsc                 ,   |xs | j                   }t        |      dk(  r|\  }}n|\  }}	}| j                  ||      }| j                  ||      }|| j                  ||      n|}t        |      dk(  r|fn|	f} |||||d}
t        |
||       y )Nr1   r5  )rV   r3  r	  rZ  )r   rd  re   r/   )rn   mean_funrV   r3  r[  r	  r&  
array_liker  r0  ro   s              rv   check_equal_xmeanr		    s     RZZE
4yA~"
G!%
AwJe4Jjjj.G292Ebjjj.7GINJ=QD$T@AAwT*rx   c                  8    t        | dt        j                  i|S Nr	  )r		  rh   r  r&  r'  s     rv   check_equal_gmeanr	        dCU[[CFCCrx   c                  8    t        | dt        j                  i|S r	  )r		  rh   hmeanr	  s     rv   check_equal_hmeanr	    r	  rx   c                  8    t        | dt        j                  i|S r	  )r		  rh   pmeanr	  s     rv   check_equal_pmeanr	    r	  rx   c                   <   e Zd Zd Zd Zd Z edd      ej                  j                  d      d               Z
d	 Zd
 Zd Zd Zd Zej                  j                  dd      ej                  j                  d      d               Zd Zd Zd Zed        Zy)	TestHMeanc                 ,    g d}d}t        |||       y N)r   r   r1   r   r  r	  rm   rn   r  r  s       rv   test_0zTestHMean.test_0      !W,rx   c                 T    g d}d}t        |||       g d}d}t        |||       y )Nr<  g=b#A@r  rW  gQ?r	  r	  s       rv   test_1dzTestHMean.test_1d  s.    5!W,:!W,rx   c                 T    t        j                  ddg      }d}t        |||d       y )Nr   r   r   rn   r[  r   r   r	  r	  s       rv   test_1d_with_zerozTestHMean.test_1d_with_zero  s'    HHaV!W#6rx   rG   ``array_api_strict.where` `fillvalue` doesn't accept Python scalars. See data-apis/array-api#807.rE   rH   c                     t        j                  g d      }d}t        j                  t        |      5  t        ||j                  |d       d d d        y # 1 sw Y   y xY w)Nr   r   ra   z$The harmonic mean is only defined...r   r   r 	  )r   r   r,  r-  r   r	  rl   )rm   rn   r  rt  s       rv   test_1d_with_negative_valuez%TestHMean.test_1d_with_negative_value  sL     HHZ 8\\.8 	:aBS9	: 	: 	:s   AA!c                 `    g dg dg dg}d}t        t        j                  |      ||       y )Nr[   r  rz  r{  ry  rV  r=  rY  r8  r~  rB  x   gmWUC@r  )r	  r   r   r	  s       rv   test_2dzTestHMean.test_2d  s)    /1DE"((1+w26rx   c                 f    g dg dg dg}t        j                  g d      }t        ||d|       y )Nr(	  r)	  r*	  )U|ϊ6@g4.=C@JQ6LsJ@E]P@r   rV   rn   r!	  r	  s       rv   test_2d_axis0zTestHMean.test_2d_axis0  s-    /1DE((OP!W14rx   c                 f    g dg dg dg}t        j                  g d      }t        ||d|       y )Nr[   r   rz  r{  r)	  r*	  )r.	  r   r/	  r0	  r   r1	  r!	  r	  s       rv   test_2d_axis0_with_zeroz!TestHMean.test_2d_axis0_with_zero  s-    .0CD((GH!W14rx   c                 f    g dg dg dg}t        j                  g d      }t        ||d|       y )Nr(	  r)	  r*	  )g3333333@O@y@Y@r   r1	  r!	  r	  s       rv   test_2d_axis1zTestHMean.test_2d_axis1  s-    /1DE((<=!W14rx   c                 f    g dg dg dg}t        j                  g d      }t        ||d|       y )Nr4	  r)	  r*	  )r   r7	  r8	  r   r1	  r!	  r	  s       rv   test_2d_axis1_with_zeroz!TestHMean.test_2d_axis1_with_zero  s-    .0CD((;<!W14rx   T,array-likes only supported for NumPy backendr   c                     g d}g d}d}t        j                  ||      }t        |t        j                  |      d       y )Nr1   r[   r5   r[   r4   r2   r  r	  h㈵>rZ  )rh   r	  r/   r   re   rm   rn   r  r	  r  r   s         rv   test_weights_1d_listzTestHMean.test_weights_1d_list  s:      kk!W-RZZ0t<rx   c                     t        j                  g d      }t        j                  g d      }d}t        |||d|       y )Nr>	  r?	  r2   rA	  r	  r[  rn   )r   re   r	  rm   rn   r  r	  r  s        rv   test_weights_1dzTestHMean.test_weights_1d  s5     JJz"**Z(!WgDRHrx   c                     t        j                  ddgddgddgg      }t        j                  ddgddgddgg      }t        j                  ddg      }t        ||d|d|	       y )
Nr1   r4   r[   r5   r   r2   r   rA	  rV   r	  r[  rn   r!	  rF	  s        rv   test_weights_2d_axis0zTestHMean.test_weights_2d_axis0  sj     HHq!fr1g1v./((RGaVaV45((Aq6"!W1gDRPrx   c                     t        j                  g dg dg      }t        j                  g dg dg      }t        j                  ddg      }t        ||d|d|	       y )
Nr>	  r6   r6   r6   r?	  r6  r2   r6   r   rA	  rI	  r!	  rF	  s        rv   test_weights_2d_axis1zTestHMean.test_weights_2d_axis1"  sN     HHj),-((J	23((Aq6"!W1gDRPrx   c                     t        j                  g d      }t         j                  j                  g dg d      }d}t         j                  }t        |||dt         j                  |       y )Nr1   r[   r5   r  r[   r4   r2   r  r   r   r   r   r  r2   rA	  r	  r[  r3  rn   )r   r   r  r	  r   rF	  s        rv   test_weights_masked_1d_arrayz&TestHMean.test_weights_masked_1d_array*  sO     HH^$%%++n<+@UU!WgD "

r	3rx   N)r   r   r   r	  r	  r"	  rH   r,  r  r  r&	  r,	  r2	  r5	  r9	  r;	  rC	  rG	  rJ	  rM	  r(   rS	  r   rx   rv   r	  r	    s    -
-7
 (UW [[/0: 1W:755
55
 [[!!= "  [[/0
= 1	

=IQQ 3 3rx   r	  c                       e Zd Zd Zd Zd Zd Zd Zd Zd Z	d Z
ej                  j                  d	d
      ej                  j                  d      d               Zd Zed        Zy)	TestGMeanc                 ,    g d}d}t        |||       y r	  r	  r	  s       rv   r	  zTestGMean.test_08  r	  rx   c                     g d}d}t        |||       g d}t        dd      }t        ||d|       t        g dt              }t        dd      }t        |||j                  |	       y )
Nr<  gsŤF@r  rW  r  rY  r  r[  rn   )r3  rn   )r	  r   r   r   r	  s       rv   r	  zTestGMean.test_1d=  sa    5!W,w/!W5R8,(w/!WBJJ2>rx   c                 :    g dg dg dg}d}t        |||       y )Nr(	  r)	  r*	  g/,$qJ@r  rW	  r	  s       rv   r,	  zTestGMean.test_2dL  s!    /1DE!W,rx   c                     g dg dg dg}t        j                  g d      }t        ||d|       t        g dg dg dg      }t        g d      }t        ||dd|	       y )
Nr(	  r)	  r*	  )g4@A@g5H@g`8|wЭN@gm~&+R@r   r1	  rW  r  rV   r[  rn   r   r   r	  r	  s       rv   r2	  zTestGMean.test_2d_axis0R  sX    /1DE((NO!W14<|<=%!W15R@rx   c                     g dg dg dg}t        j                  g d      }t        ||d|       t        g dg dg dg      }t        dd	      }t        |||g      }t        ||dd
|       y )Nr(	  r)	  r*	  )gD" 6"6@gcP@g
ҧZ@r   r1	  rW  r  rY  r  r\	  )r   r   r	  r   )rm   rn   r  r  rj  s        rv   r9	  zTestGMean.test_2d_axis1\  sj    /1DE((CD!W14<|<=-)Aq	"!W15R@rx   c                 @    t        g d      }d}t        ||d|       y )N)g}Ô%ITrA  gu <7~rA  r  rY	  )r   r	  r	  s       rv   test_large_valueszTestGMean.test_large_valuesg  s     '(!W5R8rx   c                     g d}d}t        j                  d      5  t        |||       d d d        y # 1 sw Y   y xY w)N)
r[   r  rz  r{  ry  rV  r=  rY  r8  r   r   r  r8  r  )r   r  r	  r	  s       rv   test_1d_with_0zTestGMean.test_1d_with_0l  s9    3[[X& 	1aR0	1 	1 	1s   5>c                     g d}t         j                  }t        j                  d      5  t        |||       d d d        y # 1 sw Y   y xY w)N)
r[   r  rz  r{  ry  rV  r=  rY  r8  ra   r  r  r  )r   rl   r  r	  r	  s       rv   test_1d_negzTestGMean.test_1d_negs  s=    4&&[[* 	1aR0	1 	1 	1s   AATr<	  r   rH   c                     g d}g d}d}t        j                  ||      }t        |t        j                  |      d       y )Nr  r1   r4   r5   r3   r2   GZ*oG8@r@	  rA	  rZ  )rh   r  r/   r   re   rB	  s         rv   rC	  zTestGMean.test_weights_1d_listz  s:     !
 kk!W-RZZ0t<rx   c                     t        j                  g d      }t        j                  g d      }d}t        |||d|       y )Nr  rf	  rg	  rA	  rE	  r]	  rF	  s        rv   rG	  zTestGMean.test_weights_1d  s5     HH_%((?+!WgDRHrx   c                     t        j                  g d      }t         j                  j                  g dg d      }d}t         j                  }t        |||dt         j                  |       y )Nrv  )r1   r4   r5   r3   r2   r4   )r   r   r   r   r   r   r  rg	  rA	  rR	  )r   r   r  r	  r   rF	  s        rv   rS	  z&TestGMean.test_weights_masked_1d_array  sR     HH'(%%++07I+JUU!WgD "

r	3rx   N)r   r   r   r	  r	  r,	  r2	  r9	  r`	  rb	  rd	  r,  r  rH   r  rC	  rG	  r(   rS	  r   rx   rv   rU	  rU	  6  s    -
?-A	A9
11 [[!!= "  [[/0= 1	
=I 3 3rx   rU	  c            
          e Zd Zd Zd Zd Zd Zd Z edd      e	j                  j                  d	      d
               Ze	j                  j                  dddgddgddggdf ej                  ddgddgddgg      dfg      d        Ze	j                  j                  dg dg dg dgdfg dg dg dgdfg      d        Ze	j                  j                  dg dg dg dgdfg dg dg dgdfg      d        Zd Ze	j                  j                  dd      e	j                  j                  d	      d               Zed         Ze	j                  j                  d!g d"      d#        Zy$)%	TestPMeanc                 X    t        j                  | |z        | j                  z  d|z  z  S rN  )r   r  r  r  r0  s     rv   pmean_referencezTestPMean.pmean_reference  s&    q!tqvv%1--rx   c                 p    t        j                  || |z  z        t        j                  |      z  d|z  z  S rN  )r   r  )r  r0  r	  s      rv   wpmean_referencezTestPMean.wpmean_reference  s/    wA~&8AaC@@rx   c                    t        j                  t        d      5  t        j                  |j                  g d      |j                  dg             d d d        t        j                  t        d      5  t        j                  |j                  g d      |j                  dg             d d d        y # 1 sw Y   exY w# 1 sw Y   y xY w)NzPower mean only defined forr   rm  r   )r,  r   r   rh   r	  re   r  s     rv   test_bad_exponentzTestPMean.test_bad_exponent  s    ]]:-JK 	@KK

9-rzz1#?	@]]:-JK 	@KK

9-rzz1#?	@ 	@	@ 	@	@ 	@s   8B878C8CCc                 P   g dd}}t         j                  t        j                  |      |      }t	        ||||       g dd}}t         j                  t        j                  |      |      }t	        ||||       g dd}}t        j
                  d      }t	        ||||       y )Nr<  r=   r  g      rW  r1   rA   )rk	  rn	  r   r   r	  r  rm   rn   r  r0  r  s        rv   r	  zTestPMean.test_1d  s    8#1++BHHQK;!QB/8$1++BHHQK;!QB/Q1''9:!QB/rx   c                 Z    t        j                  ddg      d}}d}t        |||d|       y )Nr   r   ra   r   rY	  )r   r   r	  rt	  s        rv   r"	  zTestPMean.test_1d_with_zero  s-    xxA1!Qcb9rx   rG   r#	  rE   rH   c                     t        j                  g d      d}}d}t        j                  t        |      5  t        |||j                  |       d d d        y # 1 sw Y   y xY w)Nr%	  Gz?z!The power mean is only defined...r   r  )r   r   r,  r-  r   r	  rl   )rm   rn   r  r0  rt  s        rv   r&	  z%TestPMean.test_1d_with_negative_value  sP    
 xx
#T15\\.8 	3aBFFr2	3 	3 	3s   AA#rm	  r[   r  ry  rV  r8  r~  r  r:   c                 t    t         j                  t        j                  |      |      }t	        ||||       y )Nr  rk	  rn	  r   r   r	  )rm   r  r0  rn   r  s        rv   test_2d_axisnonezTestPMean.test_2d_axisnone  s,     ++BHHQK;!QB/rx   r(	  r)	  r*	  r4	  c                     t        t        |d               D cg c]Q  }t        j                  t	        j
                  t        t        |            D cg c]
  }||   |    c}      |      S }}}t        |||d|       y c c}w c c}}w )Nr   r1	  )r  rd  rk	  rn	  r   r   r	  )rm   r  r0  rn   rB  r  r  s          rv   r2	  zTestPMean.test_2d_axis0  s     3qt9%	
  %%5Q=9a!A$q'9:A
 
 	!QaB7	 :
s   9B
B#B
B
c                     |D cg c]+  }t         j                  t        j                  |      |      - }}t	        |||d|       y c c}w )Nr   r1	  ry	  )rm   r  r0  rn   a_r  s         rv   r9	  zTestPMean.test_2d_axis1  sD     IJJ"9,,RXXb\1=JJ!QaB7 Ks   0Ac                     g dd}}g d}t         j                  t        j                  |      ||      }t	        ||||d|       y )Nr>	  ރBr?	  rA	  rE	  )rk	  rp	  r   r   r	  rm   rn   r  r0  r	  r  s         rv   rG	  zTestPMean.test_weights_1d  s>    ;1,,RXXa[!WE!QtKrx   Tr<	  r   c                     g dd}}g d}t         j                  t        j                  |      ||      }t	        j
                  |||      }t        |t        j                  |      d       y )Nr>	  r	  r?	  r@	  rA	  rZ  )rk	  rp	  r   r   rh   r	  r/   re   )rm   rn   r  r0  r	  r  r   s          rv   rC	  zTestPMean.test_weights_1d_list  sW     ;1,,RXXa[!WE kk!Q0RZZ0t<rx   c           	         t        j                  g d      d}}t         j                  j                  g dg d      }t        j                  ||      }t         j                  }t	        ||||dt         j
                  |       y )	NrO	  r   rP	  rQ	  r  r@	  rA	  rR	  )r   r   r  averager	  r   r	  s         rv   rS	  z&TestPMean.test_weights_masked_1d_array   s^    xx'1%%++n<+@**Q0UU!Qt "

r	3rx   )rV   fun_namer0  ))Nrp	  g3E#@)r   r  r   )r   r	  ra   c           	          |dk(  rfd}nt        t        |      }t        j                  ddgddgddgg      }t        j                  ddgddgddgg      } ||||	      }t	        ||||d
|       y )Nrp	  c                 2    t         j                  | |      S r  )rk	  rp	  )r  rV   r	  r0  s      rv   funz&TestPMean.test_weights_2d.<locals>.fun  s     11!Q@@rx   r1   r4   r[   r5   r   r2   )rV   r	  rA	  rI	  )r6  rh   r   r   r	  )	rm   rV   r	  r0  rn   r	  r  r	  r  s	      `     rv   test_weights_2dzTestPMean.test_weights_2d	  s     ))A %*CHHq!fr1g1v./((RGaVaV45adG4!QdG$SUVrx   N)r   r   r   rn	  rp	  rr	  r	  r"	  rH   r,  r  r  r&	  r  r   r   rz	  r2	  r9	  rG	  rC	  r(   rS	  r	  r   rx   rv   rk	  rk	    s   .A@0:
 (TV [[/03 1V3 [[8b"XCy
)4	0
"((RHr2hS	2
3S	9	;
0
0 [[-/B
CT	J,.A
BC	H	J
8
8 [[-/B
CT	J,.A
BC	H	J
8
8L [[!!= "  [[/0= 1	
= 3 3 [[!		W	Wrx   rk	  c                      e Zd Z ej                  d      dz   ZdZej                  ddd      Zd Z	d Z
d	 Zej                  j                  d
ddej                  ej                   f      d        Zd Zd Zd Zd Zd Zd Zd Zd Zy)TestGSTDr  r   gv aZ@r1   r2   r3   c                 n    t        j                  | j                        }t        || j                         y r  )rh   r  array_1dr   gstd_array_1drm   gstd_actuals     rv   test_1d_arrayzTestGSTD.test_1d_array!  s$    jj/T%7%78rx   c                     t        j                  t        | j                              }t	        || j
                         y r  )rh   r  r  r	  r   r	  r	  s     rv    test_1d_numeric_array_like_inputz)TestGSTD.test_1d_numeric_array_like_input%  s)    jjt}}!56T%7%78rx   c                     t        j                  t        d      5  t        j                  d       d d d        y # 1 sw Y   y xY w)Nzufunc 'log' not supportedr   z*You cannot take the logarithm of a string.)r,  r   rv  rh   r  r#  s    rv   )test_raises_value_error_non_numeric_inputz2TestGSTD.test_raises_value_error_non_numeric_input)  s7    ]]9,GH 	EJJCD	E 	E 	Es	   ;A	bad_valuer   ra   c                 ^   t        j                  | j                  |g      }t        j                  |      r<d}t	        j
                  t        |      5  t        j                  |      }d d d        nt        j                  |      }t        t         j                         y # 1 sw Y   $xY w)Nz3The geometric standard deviation is only defined...r   )r   r  r	  r  r,  r-  r   rh   r  r   rl   )rm   r	  ro   rt  r   s        rv   test_returns_nan_invalid_valuez'TestGSTD.test_returns_nan_invalid_value.  s{    IIdmmi[1;;y!KGnG< $jjm$ $ **Q-CS"&&!	$ $s   B##B,c                     t        g dt        j                  dddgg      }t        j                  |d      }t        |t        j                   dt        j                  g             y )N)r   r   r   r   r   r1   r2   rU   r3   )r   r   rl   rh   r  r   )rm   r  r	  s      rv   test_propagates_nan_valuesz#TestGSTD.test_propagates_nan_values9  sI    =2661a"345jj+RXXq"&&k%:;rx   c                     t        j                  t        d      5  t        t	        j
                  | j                  | j                  j                        t        j                         d d d        y # 1 sw Y   y xY w)NzDegrees of freedom <= 0r   r  )
r,  r-  r   r   rh   r  r	  r  r   r  r#  s    rv   )test_ddof_equal_to_number_of_observationsz2TestGSTD.test_ddof_equal_to_number_of_observations>  sQ    \\.0IJ 	UDMM8J8JKRVVT	U 	U 	Us   AA33A<c                 r    t        j                  | j                  d       }t        || j                         y r  )rh   r  array_3dr   r	  r	  s     rv   test_3d_arrayzTestGSTD.test_3d_arrayB  s&    jjT:T%7%78rx   c                 b    t        j                  | j                  d      }t        |ddg       y )NrC  rU   g~d@g<
?)rh   r  r	  r   r	  s     rv   test_3d_array_axis_type_tuplez&TestGSTD.test_3d_array_axis_type_tupleF  s%    jjU;j*%=>rx   c                     t        j                  | j                  d      }t        j                  g dg dg dg      }t        ||       y )Nr   rU   )gĶ?@gQӫ@g֌@gן7R@)g%Ȁ@ge@gv6B5 @g _?)gE ?gީ?gk̊Y?g%:?rh   r  r	  r   r   r   rm   r	  gstd_desireds      rv   test_3d_array_axis_0zTestGSTD.test_3d_array_axis_0J  s>    jjQ7xxOOO!
 
 	\2rx   c                     t        j                  | j                  d      }t        j                  g dg dg      }t        ||       y )Nr   rU   )gN@g85@g'ĥ?gwth?)gHnaX?gG?gBu?gE?r	  r	  s      rv   test_3d_array_axis_1zTestGSTD.test_3d_array_axis_1S  s;    jjQ7xxLL!
  	\2rx   c                     t        j                  | j                  d      }t        j                  g dg dg      }t        ||       y )Nr1   rU   )gt80?gі?g?)gۘ]~?gmT6(?g	G?r	  r	  s      rv   test_3d_array_axis_2zTestGSTD.test_3d_array_axis_2[  s;    jjQ7xx??!
  	\2rx   c                    t         j                  j                  | j                  dkD  | j                        }d}t	        j
                  t        |      5  t        j                  |d      }d d d        t        j                  | j                  d      }g dg dg}t        |       t        |j                  |       y # 1 sw Y   UxY w)Nr   z:`gstd` support for masked array input was deprecated in...r   r1   rU   rZ  r  )r   r  masked_wherer	  r,  r-  r  rh   r  r   r   r  )rm   r  rt  r	  r	  r  s         rv   test_masked_3d_arrayzTestGSTD.test_masked_3d_arrayc  s    UU 2DMMBN\\,G< 	1**Ra0K	1zz$--a89%\2[%%t,	1 	1s   CC
N)r   r   r   r   r   r	  r	  rj   r	  r	  r	  r	  r,  r  r  r  rl   r	  r	  r	  r	  r	  r	  r	  r	  r	  r   rx   rv   r	  r	    s    ryy#a'H"M1a(H99E
 [[[1b"&&"&&*AB" C"<
U9?333-rx   r	  c            	         t        j                  t        j                  ddd      t        j                  ddd      t        j                  ddd      f      } d}d	}g d
}t        | |      D ]6  \  }}t	        t        j                  |||      j                  |dd|        8 t	        t        j                  ddd      j                  dd       y )Nr  r  r4   r  g?r  ffffff?r_  i  )r   r   gs  gG|G{g	ɺM>6g>
ztt+g#ӌRM/gF׸fz2gU8u5g8M8gФ)Ba?g%վ?g*+a5?gś?gڒJ|>r]   z
fail forp=)r  err_msgry  r~  gVݶ3;r  )r   r  r  r  r
   rh   	binomtestr	  )ppr@  ro   rP  r0  r   s         rv   test_binomtestr	  n  s    	S#q1T43T435 
6B 	AA(G b'" F3EOOAq!4;;S(*j4D	FF C5<</$&(rx   c                     ddgg dg dg dg dg dg dg dg d	g d
g
} t        dd      D ]P  }t        |dz         D cg c]#  }t        j                  ||d      j                  % }}t	        || |dz
     d       R y c c}w )Nr   )r:   r   r:   )rY  r   r   rY  )r  r  r   r  r  )r        ?r   r   r	  r  )r        ?      ?r   r	  r	  r  )r  r        ?r   r   r	  r  r  )	      ?      ?     ?     @?r   r	  r	  r	  r	  )
      p?      ?      ?     @?r   r   r	  r	  r	  r	  )      `?      ?      ?      ?      ?r   r	  r	  r	  r	  r	  r   r\   r:   r[   r  )r  rh   r	  r	  r   )r  r5  rj  rz  s       rv   test_binomtest2r	    s     
c
 +8G		*	E	D" 1b\ 9;@Q<Ha1c*11HHD$qs)R89Hs    (Bc                     t        dd      D  cg c]:  } t        dd      D ])  }t        j                  | | |z  d|z        j                  + < }} }t	        |t        j                  t        |      t                     t        j                  g d      }t        j                  g d      }t        dd      D  cg c]=  } t        dd      D ],  }t        j                  | dz   | |z  d|z        j                  . ? }} }t        dd      D  cg c]=  } t        dd      D ],  }t        j                  | dz
  | |z  d|z        j                  . ? }} }t        ||d       t        ||d       y c c}} w c c}} w c c}} w )	Nr   r\   r1   r   )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?r^   r  )r  rh   r	  r	  r   r   r  rd  r  r   r   )rj  r5  r  binom_testm1binom_testp1res4_p1res4_m1s          rv   test_binomtest3r	    s    1b\95B<9&' OOAqsBqD)00 90 9D 9rwws4y#./ 88 
 LP 88 
 L@ a<eArl<)* qsAaCA.55 <5 <G < a<eArl<)* qsAaCA.55 <5 <G < r:r:q9d<<s   ?E2<AE8AE>c                       e Zd Zd Zd Zd Zy)TestTrimc           	      `   t        j                  d      }t        t        j                  t	        j
                  |d            t        j                  d             t        t        j                  t	        j
                  |d            t        j                  d             t        t        j                  t	        j
                  |dd            t        j                  dd             t        t        j                  t	        j
                  |d	d            t        j                  d
d             t        t	        j
                  |d      g        t        t	        j
                  |dd      g        t        t	        j
                  g d      g        t        t	        j
                  g d	d      g        t        t	        j
                  g d      g        t        j                  d      j                  dd      }t        j                  dd      j                  dd      }d}t	        j
                  |dd|      }t        t        j                  ||      |       d}t	        j
                  |j                  dd|      }t        t        j                  ||      |j                         y )Nr\   r  r[   r  r8   left)tailr1   tE]t?r2   r   r  r  r5   r3   r4   r   )r	  rV   rU   r   )r   r   r   sortrh   trim1rj   r  )rm   r  r  rV   trimmeds        rv   
test_trim1zTestTrim.test_trim1  s   IIbMRWWU[[C01299R=ARWWU[[C01299Q<@RWWU[[Cf=>YYq"%	'RWWU[[E?@YYq"%	'U[[C("-U[[Cf5r: 	U[[S)2.U[[U8"=U[[T*B/ IIbM!!!Q'ii2&&q!,++a6=RWWW40#6++acc3V$?RWWW40#%%8rx   c           
         t        j                  d      }t        t        j                  t	        j
                  |d            t        j                  dd             t        t        j                  t	        j
                  |d            t        j                  g d             t        t        j                  t	        j
                  t        j                  d      j                  dd	      d            t        j                  d	d
      j                  d	d	             t        t        j                  t	        j
                  t        j                  d      j                  d	d      j                  d            t        j                  g dg dg             t        t        t        j
                  t        j                  d      j                  d	d      j                  d       t        t	        j
                  g d      g        t        t	        j
                  g d      g        t        t	        j
                  g d      g        y )Nr\   r	  r2   r7   r  )r1   r2   r3   r4   r5   r6   r7   r  r5   r3   r  r!  )r1   r7   rY   r  )r2   r8   r  rX   r  r  )r   r   r   r	  rh   trimbothr   rj   r  r   r   )rm   r  s     rv   test_trimbothzTestTrim.test_trimboth  ss   IIbMRWWU^^Au56		!QHRWWU^^As34XX34	6RWWU^^BIIbM,A,A!Q,GMNYYq"%--a3	5RWWU^^BIIbM,A,A!Q,G,I,I,02 3XX~~>?	A 	j%..iim++Aq133T	; 	U^^B,b1U^^B.3U^^B-r2rx   c                    t        j                  g d      }t        j                  g d      }t        j                  d      j                  dd      |d d f   }t        j                  d      j                  ddd      |d d f   }t	        t        j                  |d      t        j                  g d	             t	        t        j                  |d      t        j                  g d
             t        j                  g d      }t        j                  d      j                  dd      |d d f   }t	        t        j                  |d      t        j                  g d             g d}t	        t        j                  |d      d       t	        t        j                  g dd      d       t         j                  j                  d       t         j                  j                  dd      }dD ]Q  }t        j                  |d|      }t        j                  t        j                  ||d      d      }	t	        ||	       S t        j                  |dd       }t        j                  |j                         d      }	t	        ||	       t        t        t
        j                  |d       t	        t        j                  g d      t         j                         t	        t        j                  g d      t         j                         y )N)r3   r7   r1   r   r8   r4   r[   r   r6   r2   r5   )r2   r4   r   r   r1   r3   r  r5   r3   Fr  r!  )r<   rB   g      -@g     4@r  )r   r   r2   r1   )r   r   r2  rW  r  r  )r6   r\   r]   rX   r   r5   r  r   r4   r   r  r[   rc   r8   r  r  rK  r  r1   rY   r3   r^   r7   r2   rZ   )r4   r3   r2   r   r1   r   r<   rs  r  )r4   r5   r3   r6   r  )r   r   r1   r2   ra   rU   r   r  r   )r   r   r   rj   r   rh   	trim_meanr  r(  r  rQ  r  r   r   rl   )
rm   r  idxr  r  idx4a4rV   rz  r  s
             rv   test_trim_meanzTestTrim.test_trim_mean+  s    HH78hh)*YYr]""1a(a0YYr]""1as"3CF;U__R.XX45	7U__R.XX23	5xx%YYr]""1a(q1U__R.XX;<	>%U__Q-t4U__]D93? 			tIIb|4$ 	%D??1d6D??2;;q$#:DADt$	%
 q$T2qwwy$/T4 j%//1c: 	U__R-rvv6U__R-rvv6rx   N)r   r   r   r	  r	  r	  r   rx   rv   r	  r	    s    983$$7rx   r	  c                   *    e Zd Zd Zd Zd Zd Zd Zy)TestSigmaClipc                 $   t        j                  t        j                  ddd      t        j                  ddd      f      }d}t        j                  |      \  }}}t        |j                         |kD         t        |j                         |k         t        ||j                         ||j                         z  z
         t        ||j                         ||j                         z  z          t        |j                  |j                         y )Nr5  r`      r   r  r4   r3   r   r  r  rh   	sigmaclipr   minmaxr   rk   r   r  rm   r  factr  rI  upps         rv   test_sigmaclip1zTestSigmaClip.test_sigmaclip1S  s    NNBKKT26Ar18MNOooa(3##S!&&(T!%%'\12S!&&(T!%%'\12QVVQVV$rx   c                 @   t        j                  t        j                  ddd      t        j                  ddd      f      }d}t        j                  |||      \  }}}t        |j                         |kD         t        |j                         |k         t        ||j                         ||j                         z  z
         t        ||j                         ||j                         z  z          t        |j                  d       t        |j                  d	       y )
Nr5  r`   r	  r   r  r4   r;   r3   $   r	  r	  s         rv   test_sigmaclip2zTestSigmaClip.test_sigmaclip2]  s    NNBKKT26Ar18MNOooat43##S!&&(T!%%'\12S!&&(T!%%'\12QVVQQVVR rx   c                 *   t        j                  t        j                  ddd      t        j                  ddd      f      }d}t        j                  |||      \  }}}t        |j                         |kD         t        |j                         |k         t        ||j                         ||j                         z  z
         t        ||j                         ||j                         z  z          t        |t        j                  ddd             y )Nr5  r`   r\   r2   ?)r   r  r  rh   r	  r   r	  r	  r   rk   r   r	  s         rv   test_sigmaclip3zTestSigmaClip.test_sigmaclip3h  s    NNBKKT26KKc157 8ooat43##S!&&(T!%%'\12S!&&(T!%%'\12QCr23rx   c                     t        j                  t        j                  ddd      t        j                  ddd      f      }d}t        j                  |||      }d}t        ||       y )	Nr5  r`   r\   r	  r	  r2   r	  )clippedr  r  )r   r  r  rh   r	  r   )rm   r  r	  r   r  s        rv    test_sigmaclip_result_attributesz.TestSigmaClip.test_sigmaclip_result_attributess  sZ    NNBKKT26KKc157 8ooat,2
C,rx   c                 r    t        j                  d      }t        t        j                  |      d   |       y )Nr[   r   )r   r  r   rh   r	  r.  s     rv   test_std_zerozTestSigmaClip.test_std_zero{  s'    GGBKU__Q'*A.rx   N)r   r   r   r	  r	  r	  r	  r	  r   rx   rv   r	  r	  R  s    %	!	4-/rx   r	  c                       e Zd Zd Zej
                  j                  dddgg fddgdfddgdgfg      d        Zd Zd Z	d Z
d	 Zd
 Zd Zd Zd Zy)TestAlexanderGovernc                 `   g dg dg dg dg}|D cg c]'  }t        j                  |t         j                        ) }}|D cg c]'  }t        j                  |t         j                        ) }}|D cg c]'  }t        j                  |t         j                        ) }}|D cg c]'  }t        j                  |t         j
                        ) }}t        j                  | }t        j                  | }t        j                  | }	t        j                  | }
|j                  |j                  cxk(  r |	j                  cxk(  r|
j                  k(  sJ  J |j                  |j                  cxk(  r |	j                  cxk(  r|
j                  k(  sJ  J y c c}w c c}w c c}w c c}w )N)	r^   r^   r^   r^   r^   r^   r^   r]   r]   )	rY   r^   r]   r]   r]   r]   r]   r\   r\   )	rY   rY   r^   r^   r^   r^   r^   r]   r]   )	r  rY   r^   r^   r^   r]   r]   r]   r\   r5  )
r   re   rY  r  ru  r   rh   alexandergovernr	  r
  )rm   r&  arg
args_int16
args_int32
args_uint8args_float64	res_int16	res_int32	res_uint8res_float64s              rv   test_compare_dtypesz'TestAlexanderGovern.test_compare_dtypes  s|   44446 BFF#bjjBHH5F
FAEF#bjjBHH5F
FAEF#bjjBHH5F
FEIJc

3bjj9JJ)):6	)):6	)):6	++\:  I$4$4 7  7$/$6$67 	8 7 	8 7##y':': =##='2'<'<= 	> = 	> = GFFJs   ,F,F!7,F&),F+rk  r   r1   c                     t        j                  t        t              5  t	        j
                  | }t        |j                  t        j                         t        |j                  t        j                         d d d        y # 1 sw Y   y xY wrD  )r,  r-  r   r   rh   r
  r   r
  r   rl   r	  rO  s      rv   test_too_small_inputsz)TestAlexanderGovern.test_too_small_inputs  s]     \\,4IJ 	-''.C/RVV,	- 	- 	-rQ  c                 V   t        j                  d      5  t        j                  ddgt         j                  t         j                  g      }d d d        t        j                  t         j                         t        |j                  t         j                         y # 1 sw Y   RxY w)Nr  r  r   r1   )	r   r  rh   r
  r  r   r
  rl   r	  r  s     rv   test_bad_inputsz#TestAlexanderGovern.test_bad_inputs  sn    [[* 	B''A0@AC	BS]]BFF+SZZ(	B 	Bs   7BB(c                     g d}g d}g d}t        j                  |      t        j                  |      t        j                  |      }}}t        j                  |||      }t	        |j
                  d       t	        |j                  d       y)a  
        Data generated in R with
        > set.seed(1)
        > library("onewaytests")
        > library("tibble")
        > y <- c(rnorm(40, sd=10),
        +        rnorm(30, sd=15),
        +        rnorm(20, sd=20))
        > x <- c(rep("one", times=40),
        +        rep("two", times=30),
        +        rep("eight", times=20))
        > x <- factor(x)
        > ag.test(y ~ x, tibble(y,x))

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

        statistic  : 1.359941
        parameter  : 2
        p.value    : 0.5066321

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

        )(g5gb?gl"k g^s/@gQ\
@gRh gIF@gpZ>q@g7D @g-ѪZng(Q<.@gON/@g	Ogҷ%6gs&@gw)ܿg789Ŀgzp"@gzl @g57@g>m@*a"@g,ZbI@gX9
]?g3g1@gg"Jbgy:@j-g2A g;@gL97vp,+@gp/rg"@gfT|7g^v+g٘Yg0/gglA! &@go@)g!_5*gqTEgg1$@g	a, @gˤ$g9%gZ@gT6U'@gS g6aGn*@gO@g\\"g^4w@g0gr~5@gDP=@gٿԙg:4R/gOx]r!@gU4 gta)B@g,Gg2$@gD%?gI,VL&g@gч
;g5@gWJc@gYjK@@)gj7#@g<e,g}m(@gr2g#^9gr/P@g:RO!g'9?g6F
?gcʱ'gt*&gg~*0Ώ7@gWzx>gIK'@g?Ң@g7C5@g;C>ϯUg7@g)n}.^@gFQ?gsdlT6?Nr   re   rh   r
  r   r
  r	  )rm   rH  twoeightsolns        rv   test_compare_rz"TestAlexanderGovern.test_compare_r  sr    :"	I7 **S/2::c?BJJu<M%S$$S#u5(=>%;<rx   c                    g d}g d}g d}t        j                  |      t        j                  |      t        j                  |      }}}t        j                  |||      }t	        |j
                  dd       t	        |j                  dd       	 t	        |j
                  d	       t	        |j                  d
       y)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?ru  g.UikL@g&Zݱ?Nr
  )rm   youngmiddleoldr
  s        rv   test_compare_scholarz(TestAlexanderGovern.test_compare_scholar  s    08GZZ.

60BBJJsOsv$$UFC8T:W48	: 	1Z0rx   c                 N   g d}g d}t        j                  |      t        j                  |      }}t        j                  ||      }t	        |j
                  dd       t	        |j                  dd       	 t	        |j
                  d       t	        |j                  d       y	)
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?rA	  r  gOZ}?g9$?g6MDd}?Nr
  )rm   rx  ry  r
  s       rv   test_compare_scholar3z)TestAlexanderGovern.test_compare_scholar3  s    "! BBB$$R,t<XD9	8 		2Y/rx   c                 0   t        j                  g d      t        j                  dt         j                  g      f}t        j                  | }t        |j                  t         j                         t        |j                  t         j                         y )NrW  r   r   re   rl   rh   r
  r   r	  r
  )rm   r&  r   s      rv   test_nan_policy_propagatez-TestAlexanderGovern.test_nan_policy_propagateO  sZ    zz,'QK)@@##T*SZZ(S]]BFF+rx   c                     t        j                  g d      t        j                  dt         j                  g      f}t        t        d      5  t        j                  |ddi d d d        y # 1 sw Y   y xY w)NrW  r   r   r   r   r   )r   re   rl   r   r   rh   r
  )rm   r&  s     rv   test_nan_policy_raisez)TestAlexanderGovern.test_nan_policy_raiseV  sY    zz,'QK)@@:-LM 	=!!4<G<	= 	= 	=s   A--A6c                    t        j                  dddt         j                  dg      t        j                  dt         j                  ddg      f}t        j                  g d      t        j                  g d      f}t        j                  |d	d
i}t        j                  | }t        |j                  |j                         t        |j                  |j                         y )Nr   r1   r2   r3   r  r  rW  )r   r  r  r   r   r
  )rm   args_nanargs_no_nanres_nan
res_no_nans        rv   test_nan_policy_omitz(TestAlexanderGovern.test_nan_policy_omit[  s    ::q!Q23RZZBFFBPR@S5TTjj.

;0GG''EfE**K8
W^^Z%6%67W&&
(<(<=rx   c                 |   t        j                  g d      }t        j                  g d      }t        j                  t        d      5  t        j                  ||      }d d d        t        j                  t         j                         t        |j                  t         j                         y # 1 sw Y   RxY w)Nr&  r(  r  r   )r   re   r,  r-  r   rh   r
  r   r
  rl   r	  )rm   rx  ry  r   s       rv   r1  z'TestAlexanderGovern.test_constant_inputc  sz    ZZ-.ZZ-.\\.0LM 	0''B/C	0S]]BFF+SZZ(	0 	0s   
B22B;N)r   r   r   r
  r,  r  r  r
  r
  r
  r
  r
  r
  r!
  r'
  r1  r   rx   rv   r	  r	    sz    >( [[Vq!fb\QFA;!Q!$NO- P-)B=H11f10f,=
>)rx   r	  c            	          e Zd Zd Zd Zd Zd Zd Zd Ze	j                  j                  d ej                  g d       ej                  g d	      ej                  d
ff ej                  g d       ej                  g d      ej                  ej                  ffg      d        Ze	j                  j                  dg d      d        Zd Zd Zd Zd Ze	j                  j                  ddg dfg      d        Zd Zd Zy)TestFOneWayc                 n    t        j                  ddgddg      \  }}t        |d       t        |d       y )Nr   r1   r   r   rh   f_onewayr   rm   r	  r0  s      rv   test_trivialzTestFOneWay.test_trivialo  s2    ~~q!fq!f-1QQrx   c                     t        j                  ddgddg      \  }}t        |d       t        |dt	        j
                  d      z
  d       y )	Nr   r1   r3   rD  r   r:   r  rZ  )rh   r-
  r   r   r   r  r.
  s      rv   r#  zTestFOneWay.test_basicu  sC     ~~q!fq!f-1Q1rwws|+%8rx   c                 p    t        j                  dgdgg d      \  }}t        |d       t        |d       y )Nr1   r`  r  r  r,
  r.
  s      rv   test_known_exactzTestFOneWay.test_known_exact|  s4     ~~qcA3	21 	QQrx   c                     t        j                  ddgt         j                        }t        j                  ddgt         j                        }t        j                  ||      \  }}t        |dd       y )	N    r5      gŸ?r  rZ  )r   r   uint16rh   r-
  r   )rm   r  r"  r	  r0  s        rv   test_large_integer_arrayz$TestFOneWay.test_large_integer_array  sU    HHc3Zryy1HHc3Zryy1~~a#1 	.U;rx   c                     t        j                  ddgt         j                        }t        j                  ddgt         j                        }t        j                  ||      }d}t        ||       y )Nr4
  r5
  r5  r6
  r7
  r  )r   r   r8
  rh   r-
  r   )rm   r  r"  r   r  s        rv   test_result_attributesz"TestFOneWay.test_result_attributes  sQ    HHc3Zryy1HHc3Zryy1nnQ",
C,rx   c                    g d}|D ]l  }d}t         j                  j                  t         j                  j                  t         j                  j	                  t
              d|            }t        |      5 }|j                         j                  d      }d d d        dd D cg c]"  }|j                         r|j                         $ }}t        j                  |d      }	|	j                  \  }
}|
j                  t              }
t        j                  |
      }t!        |d	   d
         }|D cg c]
  }||
|k(      }}t#        j$                  | }d}||v rd}t'        |d	   ||d|        o y # 1 sw Y   xY wc c}w c c}w )N)z
SiRstv.datz
SmLs01.datz
SmLs02.datz
SmLs03.datzAtmWtAg.datz
SmLs04.datz
SmLs05.datz
SmLs06.dat
SmLs07.dat
SmLs08.dat
SmLs09.datrj  zdata/nist_anova
r{  r  rV  )skiprowsr   ra   )r=
  r>
  r?
  ru  zFailing testcase: )r[  r	  )ospathabspathjoindirname__file__openreadsplitstripr   loadtxtr  r  r  uniquer  rh   r-
  r   )rm   	filenames	test_caser[  fnamer(  contentline	certifieddatafrp   ro   catyr  xlistr   hard_tcs                    rv   	test_nistzTestFOneWay.test_nist  si   ?	 # 	FIDGGOOBGGLL1J1BI%O PEe /&&(.../29"R. *$ JJL  *I *JJur2E77DAqA99Q<Dil2&'A(,-1QqAvY-E-..%(C AGG#CFAD&8$DF-	F/ /* .s   7 E8&'F4F	8F	za, b, expected)r  r  r  rL	  r   c                     d}t        j                  t        j                  |      5  t        j                  ||      \  }}|s
J ||k(         	 d d d        y # 1 sw Y   y xY w)N%Each of the input arrays is constant;r   )r,  r-  rh   r.  r-
  )rm   r  r"  r  r   r(  r0  s          rv   r1  zTestFOneWay.test_constant_input  sW     6\\%44C@ 	$>>!Q'DAq#a8m#1	$ 	$ 	$s   &AA!rV   )r  ra   r   r   c                 h   t        j                  g dg dg dg dg dg      }t        j                  g dg dg dg dg d	g d
g dg dg      }t        j                  g dg dg dg dg      }|dv r'|j                  }|j                  }|j                  }d}nd}d}t        j                  t
        j                  |      5  t        j                  ||||      \  }}d d d        dD ]}  }	t        j                  t        j                  ||	|      t        j                  ||	|      t        j                  ||	|            \  }
}t        |	   |
d       t        |	   |d        dD ]  }	t        j                  t
        j                  |      5  t        j                  t        j                  ||	|      t        j                  ||	|      t        j                  ||	|            \  }
}t        |	   |
       t        |	   |       d d d         y # 1 sw Y   9xY w# 1 sw Y   xY w)N)r   r3   r2   r2   )r1   r4   r2   r2   )r2   r5   r2   r2   rr  )r2   r   r4   r2   )r3   r5   r4   r2   )r3   r2   r4   r2   )r   r4   r4   r2   )r4   r4   r4   r2   )r1   r2   r4   r2   )r7   r1   r4   r2   )r1   r1   r4   r2   )r3   r2   r3   r2   )r3   r1   r3   r2   )r4   r3   r3   r2   ra   r   r   r   rZ
  r   rU   r  r  rZ  r  )r   r   r  r,  r-  rh   r.  r-
  taker   r   )rm   rV   r  r"  r  	take_axisr  r(  r0  rB  fjpjs               rv   test_2d_inputszTestFOneWay.test_2d_inputs  s   HHl""""	$ %
 HHl"""""""$ % HHl"""$ %
 7?AAAII:\\%44HE 	6>>!Q5DAq	6
  	2A^^BGGAq)$<$&GGAq)$<$&GGAq)$<>FB AaD"51AaD"51	2  	'Ae88I '1i(@(*1i(@(*1i(@BB QqT2&QqT2&' '	'	6 	6' 's   HA8H(H%(H1	c           
         dt        j                  dd      j                  ddd      z  }dt        j                  dd      j                  dd	d      z  }t        j                  dt        j                  dd
      j                  ddd      z        }t	        j
                  |||d      \  }}|j                  dk(  sJ |j                  dk(  sJ t        |j                  d         D ]s  }t        |j                  d         D ]V  }t	        j
                  ||d d |f   ||d d |f   ||d d |f         \  }}	t        ||||f          t        |	|||f          X u y )Nr   r      r3   r4   r6   r1      r7   q   rU   )r3   r6   r   )	r   r   rj   cosrh   r-
  r  r  r   )
rm   r  r"  r  r(  r0  r  rB  fijpijs
             rv   test_3d_inputszTestFOneWay.test_3d_inputs  sC   biiY'//1a88biiY'//1a88FF1RYYsI.66q!Q??@~~aAA.1ww&   ww&   qwwqz" 	.A1771:& . >>!Aq!G*a1aj!Aq!G*MSQq!tW-Qq!tW-.	.rx   c                     t        j                  t        t              5  t	        j
                  g dg g d      }t        |t        j                  t        j                  f       d d d        y # 1 sw Y   y xY w)Nr   rm  r3  )	r,  r-  r   r   rh   r-
  r   r   rl   r  s     rv   test_length0_1d_errorz!TestFOneWay.test_length0_1d_error   sP    \\,4IJ 	3^^Ir<@F"&&"&&!12	3 	3 	3s   AA//A8c                    t        j                  t        t              5  d}t	        j
                  d|f      }t	        j
                  d|f      }t	        j
                  d|f      }t        j                  |||      \  }}t	        j                  |ft        j                        }t        ||       t        ||       d d d        y # 1 sw Y   y xY w)Nr   r2   r3   r   r4   r  )r,  r-  r   r   r   r  rh   r-
  r   rl   r   )rm   ncolsr  r"  r  r(  r0  nanss           rv   test_length0_2d_errorz!TestFOneWay.test_length0_2d_error   s    \\,4IJ 	"EE
#AE
#AE
#A>>!Q*DAq77E87DD!D!	" 	" 	"s   B C		Cc                     t        j                  t              5  t        j                  dgdgdgdg      }t        |t        j                  t        j                  f       d d d        y # 1 sw Y   y xY w)Nr[   r\   r]   r^   )r,  r-  r   rh   r-
  r   r   rl   r  s     rv   test_all_length_onezTestFOneWay.test_all_length_one   sW    \\,- 	3^^RD2$rd;F"&&"&&!12	3 	3 	3s   AA**A3r&  r   rm  c                 x    d}t        t        |      5  t        j                  |  d d d        y # 1 sw Y   y xY w)Nz$At least two samples are required...r   )r   rv  rh   r-
  )rm   r&  rt  s      rv   test_too_few_inputszTestFOneWay.test_too_few_inputs   s2    89G4 	"NND!	" 	" 	"s   09c                     t        j                  d      }t        j                  d      }t        t              5  t	        j
                  ||d       d d d        y # 1 sw Y   y xY w)Nr+  r4   r3   r1   rU   )r   r  r   r&   rh   r-
  rm   r  r"  s      rv   test_axis_errorzTestFOneWay.test_axis_error   sI    GGFOGGFO9% 	)NN1aa(	) 	) 	)   AA%c                     t        j                  d      }t        j                  d      }t        t              5  t	        j
                  ||d       d d d        y # 1 sw Y   y xY w)Nr+  ru
  r   rU   )r   r  r   r   rh   r-
  rv
  s      rv   test_bad_shapeszTestFOneWay.test_bad_shapes#   sI    GGFOGGFO:& 	)NN1aa(	) 	) 	)rx
  N)r   r   r   r/
  r#  r2
  r9
  r;
  rX
  r,  r  r  r   r   r  rl   r1  ra
  ri
  rk
  ro
  rq
  rs
  rw
  rz
  r   rx   rv   r*
  r*
  m  s   9<-F@ [[-	,	)!4rvvqkB	,	,!7"&&"&&9IJ0
 $	$ [[V^4-' 5-'^."3	"3
 [[Vb9,%78" 9"
))rx   r*
  c                   H    e Zd Zd Zd Zd Zd Zd Zd Zd Z	d Z
d	 Zd
 Zy)TestKruskalc                    dg}dg}t        j                  ||      \  }}t        |d       t        |t         j                  j
                  j                  |d             t        j                  t        j                  |      t        j                  |            \  }}t        |d       t        |t         j                  j
                  j                  |d             y )Nr   r1   r   )	rh   kruskalr   r
   rd  rV  re  r   r   rm   ro   rp   hr0  s        rv   test_simplezTestKruskal.test_simple+   s    CC}}Q"1QAu2277::1a@A}}RXXa["((1+61QAu2277::1a@Arx   c                    g d}g d}t        j                  ||      \  }}t        |dd       t        |t         j                  j                  j                  dd             t        j                  t        j                  |      t        j                  |            \  }}t        |dd       t        |t         j                  j                  j                  dd             y )Nr   r1   r3   r5   r7   r[   r	  r[   r  r   )rh   r~
  r
   rd  rV  re  r   r   r
  s        rv   r#  zTestKruskal.test_basic5   s    }}Q"1Au"5Au2277::5!DE}}RXXa["((1+61Au"5Au2277::5!DErx   c                 n    dg}ddg}d}d}||z  }t        j                  ||      \  }}t        ||       y )Nr   r1   r	  r4  )rh   r~
  r   rm   ro   rp   h_uncorrrA  r  r
  r0  s           rv   test_simple_tiezTestKruskal.test_simple_tie?   sE    CF*d?}}Q"1 	Q!rx   c                     g d}g d}d}dt        d      dz  z
  }||z  }t        j                  ||      \  }}t        ||       y )N)r   r   r   r1   )r1   r1   r1   r1   r  r        )r  rh   r~
  r
   r
  s           rv   test_another_tiezTestKruskal.test_another_tieJ   sM    >5,-::d?}}Q"1Ax(rx   c                     g d}g d}ddg}d}dt        d      dz  z
  }||z  }t        j                  |||      \  }}t        ||       t        |t        j                  j
                  j                  |d             y )Nr6  r  r1   rN   r   r
  r
  )r  rh   r~
  r
   rd  rV  re  )	rm   ro   rp   r{  r
  rA  r  r
  r0  s	            rv   test_three_groupszTestKruskal.test_three_groupsS   s{    FG5,-::d?}}Q1%1Ax(Au2277::1a@Arx   c                     g d}g d}g }t        j                  t        t              5  t	        t        j                  |||      t        j                  t        j                  f       d d d        y # 1 sw Y   y xY w)Nr6  r  r   )	r,  r-  r   r   r   rh   r~
  r   rl   )rm   ro   rp   r{  s       rv   r@  zTestKruskal.test_empty_   s^    \\,4IJ 	Cq!Q/"&&"&&1AB	C 	C 	Cs   A A33A<c                 \    g d}g d}t        j                  ||      }d}t        ||       y )Nr   r
  r  )rh   r~
  r   )rm   ro   rp   r   r  s        rv   test_kruskal_result_attributesz*TestKruskal.test_kruskal_result_attributesg   s+    mmAq!,
C,rx   c                    t        j                  d      }t         j                  |d<   t        t	        j
                  ||      t         j                  t         j                  f       t        t	        j
                  ||d      d       t        t        t        j
                  ||d       t        t        t        j
                  ||d       y )Nr   r8   r   r   r  r   r   )	r   r   rl   r   rh   r~
  r   r   r   r.  s     rv   r1  zTestKruskal.test_nan_policyn   s}    IIcNvv!U]]1a(266266*:;EMM!Q6BJOj%--A'Jj%--A(Krx   c                     d}t         j                  j                  |      }t         j                  j                  |      dz   }t        j                  ||      \  }}d}t        ||       y )Nr  ry  r   )r   r  r)  rh   r~
  r
   )rm   r@  ro   rp   r
  r0  r  s          rv   test_large_no_samplesz!TestKruskal.test_large_no_samplesv   sS    IIOOAIIOOA#}}Q"1Ax(rx   c                     d}t        j                  t        |      5  t        j                          d d d        y # 1 sw Y   y xY w)Nz-Need at least two groups in stats.kruskal\(\)r   )r,  r   r   rh   r~
  r  s     rv   test_no_args_gh20661z TestKruskal.test_no_args_gh20661   s3    B]]:W5 	MMO	 	 	s	   <AN)r   r   r   r
  r#  r
  r
  r
  r@  r
  r1  r
  r
  r   rx   rv   r|
  r|
  *   s9    BF	")
BC-L)rx   r|
  zADelegation for `special.stdtr` only implemented for CuPy and JAX.)r  
exceptionsrF   c                      e Zd Zej                  j                  dg d      d        Zej                  j                  dg dddfg dd	d
fg      d        Zg dZej                  j                  dg d      ej                  j                  de      d               Z	ej                  j                  de      d        Z
ej                  j                  de      ej                  j                  dddg      d               Zy)TestCombinePvaluesz+method, expected_statistic, expected_pvalue))r  g'"x-@g({#H?)stoufferv!:@/?)r`  gQ4gF?)tippettr  gL^i?)mudholkar_georgegzP@guKqN?c                     g d}t        j                  |j                  |      |      }t        |j                  |j                  |             t        |j
                  |j                  |             y )Nr  r  r  rq  )rh   combine_pvaluesre   r/   r
  r	  )rm   rn   rr  r  r  ro   r   s          rv   test_reference_valuesz(TestCombinePvalues.test_reference_values   sR     ##BJJqM&Arzz2D'EF

BJJ$?@rx   z,weights, expected_statistic, expected_pvaluer   r   r   r
  r
  )r   r   r   ga;?grmT?c                    |j                  g d      }t        j                  |d|j                  |            }t        |j                  |j                  |             t        |j
                  |j                  |             y )Nr
  r
  )rr  r	  )re   rh   r
  r/   r
  r	  )rm   rn   r	  r  r  ro   r   s          rv   test_weighted_stoufferz)TestCombinePvalues.test_weighted_stouffer   s^     JJ}%##Aj"**WBUVrzz2D'EF

BJJ$?@rx   )r  r`  r
  r
  r
  r  )singler  r  rr  c                 >   t        |j                  d            }d\  }}t        j                  j	                  d      }|dk(  rr|j                  |j                  |j                  |            ||f      }|j                  |j                  |j                  dd|      d      |d d dd f   gd      }np|d	k(  r0|j                  |j                  dd|      ||f      j                  }n;|d
k(  r6|j                  |j                  |j                  dd||f            d      }|j                  t        j                  d         D 	cg c]#  }	t        j                  ||	d d f   |      d   % c}	      }
|j!                  |
dd  |
d d z
  dk\        sJ y c c}	w )Nr   )r[   r6   l	   TrU(	"b-= r
  r  r  r\
  rU   r  r  r   r  rq  ra   )r)   re   r   r  r  ru  r  rj   r  r  r	  rg  r  r  rh   r
  r  )rm   r  rr  rn   r   r?  r@  r  pvaluessr  combined_pvaluess              rv   test_monotonicityz$TestCombinePvalues.test_monotonicity   s    ""**Q-01ii##$KL hrzz#**Q-'@1a&IH~~rzz"++c32JG'T'/12'8>? & AHr{{3Q'?!QHJJH ||BJJs{{1aq!f{/M$NUV|WH::8>>!,-'
 !!(1a4.@C'
  vv&qr*-=cr-BBaGHHH	'
s   (Fc                     t        j                  |j                  g d      |      }t        |j                  |d          t        |j
                  |d          y )Nr
  rq  r   r   )rh   r
  re   r0   r
  r	  )rm   rr  rn   r   s       rv   r   zTestCombinePvalues.test_result   sA    ##BJJ}$=fMs1v.

CF+rx   rV   r   r   c                 p   t         j                  j                  d      }|j                  |j                  d            }|dk(  r|j                  n|}t        j                  |||      }|j|j                  |d      }t        j                  ||      }t        |j                  |j                         t        |j                  |j                         y |dk(  r|j                  n|}|dd d f   |dd d f   }	}t        j                  ||      }
t        j                  |	|      }t        |j                  d   |
j                         t        |j                  d   |j                         t        |j                  d   |
j                         t        |j                  d   |j                         y )	Nl   2'$FV r  r  r   )rV   rr  r  rq  r   )r   r  r  re   r  rh   r
  rj   r/   r
  r	  )rm   rr  rV   rn   r  ro   r   r  r  rx  ref0ref1s               rv   r:  zTestCombinePvalues.test_axis   sL   
 ii##O4JJszzwz/0AIACCA##AD@<

1e$A''&9CCMM3==9CJJ

3AIACCA1a4!AqD'B$$R7$$R7a($..9a($..9

1t{{3

1t{{3rx   N)r   r   r   r,  r  r  r
  r
  r  r
  r   r:  r   rx   rv   r
  r
     s-    [[5	GHAHA [[ 	7
)+>	?
)+=	>	@	AA	AA OG[[Y(CD[[Xw/I 0 EI2 [[Xw/, 0,
 [[Xw/ [[VaV,4 - 04rx   r
  c                   .    e Zd ZdZd Zd Zd Zd Zd Zy)TestCdfDistanceValidationzg
    Test that _cdf_distance() (via wasserstein_distance()) raises ValueErrors
    for bad inputs.
    c           	          t        t        t        j                  dgdgdgddg       t        t        t        j                  dgdgddg       y )Nr   r1   r3   r2   r   r   r   rh   wasserstein_distancer#  s    rv   &test_distinct_value_and_weight_lengthsz@TestCdfDistanceValidation.test_distinct_value_and_weight_lengths   sG     	j%"<"<cA3aV	-j%"<"<qcA3AOrx   c                     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       y )Nr   r   r1   r2   r
  r#  s    rv   test_zero_weightz*TestCdfDistanceValidation.test_zero_weight   sN     	j%"<"<!fqcAq6	+j%"<"<!fqcAq6A3	0rx   c           	      X    t        t        t        j                  ddgddgddgddg       y )Nr   r   r1   r2   ra   r
  r#  s    rv   test_negative_weightsz/TestCdfDistanceValidation.test_negative_weights!  s-    j%"<"<!fq!fq!fq"g	7rx   c                     t        t        t        j                  g ddg       t        t        t        j                  dgg        y rl  r
  r#  s    rv   test_empty_distributionz1TestCdfDistanceValidation.test_empty_distribution!  s2     	j%"<"<b1a&Ij%"<"<qc2Frx   c           	      v    t        t        t        j                  g dddgdt        j
                  dgddg       y )Nr"  r   )r   r   rh   r
  r   r  r#  s    rv   test_inf_weightz)TestCdfDistanceValidation.test_inf_weight!  s0    j%"<"<!Q!RVVQ!Q	Arx   N)	r   r   r   r   r
  r
  r
  r
  r
  r   rx   rv   r
  r
     s#    
P07
GArx   r
  c                   l   e Zd ZdZd Zej                  j                  dd      ej                  j                  dd      ej                  j                  dd      d	                      Zej                  j                  d
d      ej                  j                  dd      ej                  j                  dd      d                      Z	ej                  j                  d
d      ej                  j                  dd      ej                  j                  dd      d                      Z
d Zej                  j                  d
d      ej                  j                  dd      ej                  j                  dd      d                      Zej                  j                  d
d      ej                  j                  dd      ej                  j                  dd      d                      Zd Zej                  j                  dg d      ej                  j                  dg d      d               Zy) TestWassersteinDistanceNDz8 Tests for wasserstein_distance_nd() output values.
    c                    g d}g d}t        j                  ||      }t        j                  g d      }t        j                  g d      }t        j                  ||z        t        j                  |      z  }t        ||       y )N)r  r  r  r  r  r  r  r  r  r  )r3   r1   r5   r   r
  )r  r  rN  rN  rN  r  r  r  r  r  r  r  )r6   r   )rD  r  rN   r   r   r   )r   gw@r   r  r   r   )rh   wasserstein_distance_ndr   r   r  r   )rm   ri  rj  r   flowdistr  s          rv   test_published_valuesz/TestWassersteinDistanceND.test_published_values!  sm    
"" ++Aq1 xx01xx@AffTD[!"&&,.S!rx   n_value)r3   r  r)  rZ  )r2   r3   r6   max_repeats)r4   r[   c                 :   t         j                  j                  d      }|j                  d||t              }|j                  ||f      }t        j
                  ||d      }|j                  t        j                  |            }t        j
                  t        j                  t        |            |      }	t        j                  |	|      }
|j                  t        |            }||   ||   }}t        j                  |||
|      }t        |dd	       y )
Nl   na{F.aP	 r   )r  r3  r  r   rU   r@	  r  r  )r   r  r  integersr  r 	  r  r   rd  bincountry  rh   r
  r   )rm   rZ  r
  r
  r  repeatsu_valuesv_values	v_weightsrange_repeat	u_weightsr/  r   s                rv   test_same_distribution_nDz3TestWassersteinDistanceND.test_same_distribution_nD.!  s     ii##$<=,,q+G3,G::GT?:399XwQ7JJrvvg/	yy3w<!8'BKKi@	I/&uoy/?)++Hh	9UQU+rx   nu)r7   r8   &   nv)r7   r]   rc   )r2   r4   rK  c                    t         j                  j                  d      }|j                  ||f      }t        j                  ||f      }|j                  |      }|j                  |      }t        j                  t         j
                  j                  |d      |      }	t        j                  ||||      }
t        |
|	       y )N   }&=:! r  r   rU   r@	  )
r   r  r  r  r	  r  r  rh   r
  r   )rm   r
  r
  rZ  r  r
  r
  r
  r
  r  r   s              rv   test_collapse_nDz*TestWassersteinDistanceND.test_collapse_nDB!  s     ii##$89::B::.88RJ'JJBJ'	JJBJ'	jjq99M++Hh	9US!rx   )r7   r   r  )r   r1   r5   c                 2   t         j                  j                  d      }|j                  ||f      }|j                  ||f      }|j                  |      }|j                  |      }t        j                  ||||      }	|j                  d|d      \  }
}|j                  ||f      }t        j                  ||
|d      }t        j                  ||
t        j                  |      d      }t        j                  ||||      }t        ||	       y )Nr
  r  r   r1   rU   )	r   r  r  rh   r
  r
  insertr  r   )rm   r
  r
  rZ  r  r
  r
  r
  r
  r  add_rownrows	add_valuer   s                 rv   test_zero_weight_nDz-TestWassersteinDistanceND.test_zero_weight_nDR!  s    
 ii##$89::B::.::B::.JJBJ'	JJBJ'	++Hh	9Ua!4JJUDMJ2	99Xw	BIIi"((5/J	++Hh	9US!rx   c                    ddgddggt         j                  t         j                   ggddg}}}t        j                  |||      }t	        |t         j                         t        j
                  d      5  t         j                  t         j                  ggt         j                  t         j                   gg}}t        j                  ||      }t	        |t         j                         d d d        y # 1 sw Y   y xY w)Nr   r1   r  r  )r   r  rh   r
  r   r  rl   )rm   uvvvuwdistances        rv   test_inf_valuesz)TestWassersteinDistanceND.test_inf_valuese!  s     !fq!f%"&&(9':QFB00R<Xrvv&[[* 	+vvrvv&'266BFF7*;)<B44R<H266*	+ 	+ 	+s   6A4C33C<r[  )r   r2   r4   c                    t         j                  j                  d      }|j                  ||f      }|j                  ||f      }|j                  |      }|j                  |      }t        j                  ||||      }	|j                  d|      }
|j                         }t        j                  ||
|d      }t        j                  ||
|d      }t        j                  ||||      }t        ||	       y )Nl   Lq/ r  r   r   rU   )r   r  r  rh   r
  r
  r
  r   )rm   r
  r
  rZ  r  r
  r
  r
  r
  r  add_dimr
  r   s                rv   test_multi_dim_nDz+TestWassersteinDistanceND.test_multi_dim_nDp!  s    
 ii##$78::B::.::B::.JJBJ'	JJBJ'	++Hh	9U,,q$'JJL	99Xw	B99Xw	B++Hh	9US!rx   )r6   r^   r  )r1   r3   r6   c                    t         j                  j                  d      }|j                  ||f      }|j                  ||f      }|j                  |      }|j                  |      }t        j                  ||||      }	t        j
                  |      }
|
j                  |      }|j                  |      }t        j                  ||z  |z   ||z  |z   ||      }t        ||	       y )Nl   uAh~r  r  )r   r  r  rh   r
  ortho_groupr  r   )rm   r
  r
  rZ  r  r
  r
  r
  r
  r  r
  	transformshiftr   s                 rv   test_orthogonal_nDz,TestWassersteinDistanceND.test_orthogonal_nD!  s     ii##N3::B::.::B::.JJBJ'	JJBJ'	++Hh	9U  &HH#H.	


%++Hy,@5,H)1I)=)E)2I? 	S!rx   c                    t         j                  j                  d      }t        j                  t
        d      5  |j                  d      }|j                  d      }t        j                  ||      }d d d        t        j                  t
        d      5  |j                  d      }|j                  d	      }t        j                  ||      }d d d        t        j                  t
        d
      5  |j                  d      }|j                  d      }t        j                  ||      }d d d        y # 1 sw Y   xY w# 1 sw Y   txY w# 1 sw Y   y xY w)Nl   e36^[Y{lz Invalid input values. The inputsr   )r3   r[   r  r  )r5   r1   r6   z Invalid input values. Dimensions)r  )r2   r  z(Invalid input values. If two-dimensionalr  rO  )r   r  r  r,  r   r   rh   r
  )rm   r  r
  r
  r`  s        rv   test_error_codez)TestWassersteinDistanceND.test_error_code!  s1   ii##$>?]]:-OP 	Bzz{z3Hzzyz1H--hAA	B ]]:-OP 	Bzzuz-Hzzwz/H--hAA	B ]]:<> 	Bzzwz/Hzzvz.H--hAA		B 	B	B 	B	B 	B	B 	Bs#   ;D;;E7;E;EEEu_size)r   r[   ry  v_sizec                    t         j                  j                  d      }|j                  |df      }|j                  |df      }|j                         }|j                         }t	        j
                  ||      }t	        j                  ||      }	t	        j                  ||      }
t        |	|       t        |
|       |j                  |      }|j                  |      }t	        j
                  ||||      }t	        j                  ||||      }	t	        j                  ||||      }
t        |	|       t        |
|       y )Nl   Ku@* r   r  )r   r  r  r  rh   r
  r
  r   )rm   r
  r
  r  r
  r
  u_values_flatv_values_flatd1d2d3r
  r
  s                rv   test_optimization_vs_analyticalz9TestWassersteinDistanceND.test_optimization_vs_analytical!  s#    ii##K0::FA;:/::FA;:/ ( ( ''}E**8X>**=-HBBJJFJ+	JJFJ+	''}(19>**8X(19>**=-(19>BBrx   N)r   r   r   r   r
  r,  r  r  r
  r
  r
  r
  r
  r
  r
  r
  r   rx   rv   r
  r
  !  s   "& [[Y4[[VY/[[]G4, 5 0 5," [[T:.[[T;/[[VZ0" 1 0 /" [[T;/[[T;/[[VY/" 0 0 0" 	+ [[T<0[[T<0[[VY/" 0 1 1"" [[T;/[[T;/[[VY/" 0 0 0"$B  [[X{3[[X{3  4 4 rx   r
  c                   :    e Zd ZdZd Zd Zd Zd Zd Zd Z	d Z
y	)
TestWassersteinDistancez5 Tests for wasserstein_distance() output values.
    c                 <   t        t        j                  ddgdgddgdg      d       t        t        j                  ddgdgddgdg      d       t        t        j                  ddgdgddgdg      d       t        t        j                  g dg d      d       y )	Nr   r   r:   r2   rY  r1   rV  rm  r   rh   r
  r#  s    rv   r
  z#TestWassersteinDistance.test_simple!  s     	&&1vsQFQC@	 	22FQC!Q!&	 	22FQC!Q!&	 	22y"	rx   c           	          t        t        j                  g dg d      d       t        t        j                  g dddgg dddg      d       y 	Nrm  rN  r   )r   r   r   r3   r3   r   r  r2   )r   rh   r
  r#  s    rv   test_same_distributionz.TestWassersteinDistance.test_same_distribution!  sE     	U//	9EqI&&|aV'3aV=	rx   c           	      (   t        t        j                  dgdg      d       t        t        j                  dgdg      d       t        t        j                  g dg d      d       t        t        j                  g dg d	g d
g d      d       y )Nr   r   r  r4   r[   r  )r\   r]   r^   rY   r  )r>   g@r  )r  r6   r  )r2   r   r   )r   r2   r   r<   r
  r#  s    rv   
test_shiftz"TestWassersteinDistance.test_shift!  sz     	22A3<a@22B4!=rB&&8LM	 	&&'0)=	rx   c           
          t        t        j                  g dg dg dg d      t        j                  g dg dg dg d             y N)r   r   r   r   r   r   r4   )r   r2   r2   r2   r2   r3   r3   )r   r   r   r   r   r   r   )r4   r   r   )r   r3   r2   r   r1   r3   r
  r#  s    rv   test_combine_weightsz,TestWassersteinDistance.test_combine_weights!  s?     	&&%'<%'<> &&y)'0)=		>rx   c                    t        j                  ddd      }t        j                  |      }t        t	        j
                  ||      t        j                  t        j                  |                   t        j                  t        |            }|d d d   }t        t	        j
                  ||||      t        j                  t        j                  |      |             y )Nr%  rz  r  ra   r@	  )
r   r   r  r   rh   r
  rk   rh  rd  r	  )rm   ri  rj  r
  r
  s        rv   test_collapsez%TestWassersteinDistance.test_collapse!  s     IIc2s#MM!&&q!,GGBFF1I	  IIc!f%	ddO	&&q!Y	BJJrvvay)4	6rx   c           
          t        t        j                  g dddgg dddg      t        j                  ddgddgddgddg             y N)r   r1   r  r   r(  r1   r
  r#  s    rv   r
  z(TestWassersteinDistance.test_zero_weight
"  sN    &&~1v'01a&:&&1v1v1v1vF	Hrx   c                    t        t        j                  ddt        j                  gddg      t        j                         t        t        j                  ddt        j                  gt        j                   dg      t        j                         t        t        j                  dt        j                   t        j                  gddg      t        j                         t               5 }|j                  t        d       t        t        j                  ddt        j                  gt        j                  dg      t        j                         d d d        y # 1 sw Y   y xY wNr   r1   r   )	r   rh   r
  r   r  r   r   r   rl   rm   r   s     rv   r
  z'TestWassersteinDistance.test_inf_values"  s     	&&1bff~1v>FF	 	&&1bff~|DFF	 	&&BFF7BFF';aVDFF	   	CJJ~'78**Aq"&&>BFFA;G	 	 	   ,A&EE$N)r   r   r   r   r
  r
  r
  r  r  r
  r
  r   rx   rv   r
  r
  !  s+     >6 Hrx   r
  c                   4    e Zd ZdZd Zd Zd Zd Zd Zd Z	y)	TestEnergyDistancez0 Tests for energy_distance() output values.
    c                    t        t        j                  ddgdgddgdg      t        j                  d      dz         t        t        j                  ddgdgddgdg      t        j                  d      dz         t        t        j                  ddgdgddgdg      d       t        t        j                  g dg d	      t        j                  d      d
z         y )Nr   r   r1   r:   r2   rY  r   rV  rm  r  r   rh   energy_distancer   r  r#  s    rv   r
  zTestEnergyDistance.test_simple("  s     	!!1a&1#1vs;GGAJO	 	E11FQC!Q!&GGAJ	 	E11FQC!Q!&	 	!!)Y7GGAJ**	,rx   c           	          t        t        j                  g dg d      d       t        t        j                  g dddgg dddg      d       y r
  )r   rh   r  r#  s    rv   r
  z)TestEnergyDistance.test_same_distribution8"  sB     	U**9i@!D!!,Aq!fM	rx   c                     t        t        j                  dgdg      t        j                  d             t        t        j                  dgdg      t        j                  d      dz         y )Nr   r   r1   r  r4   gS[:XL	@r  r#  s    rv   r
  zTestEnergyDistance.test_shift@"  sS     	E111#s;RWWQZH!!2$,GGAJ	!rx   c           
          t        t        j                  g dg dg dg d      t        j                  g dg dg dg d             y r
  r   rh   r  r#  s    rv   r  z'TestEnergyDistance.test_combine_weightsH"  s<     	!!"79N"79NP!!)Y	9M	Orx   c           
          t        t        j                  g dddgg dddg      t        j                  ddgddgddgddg             y r  r  r#  s    rv   r
  z#TestEnergyDistance.test_zero_weightP"  sK    !!.1a&)aVL!!1a&1a&1a&1a&A	Crx   c                    t        t        j                  ddt        j                  gddg      t        j                         t        t        j                  ddt        j                  gt        j                   dg      t        j                         t        t        j                  dt        j                   t        j                  gddg      t        j                         t               5 }|j                  t        d       t        t        j                  ddt        j                  gt        j                  dg      t        j                         d d d        y # 1 sw Y   y xY wr  )	r   rh   r  r   r  r   r   r   rl   r  s     rv   r
  z"TestEnergyDistance.test_inf_valuesV"  s     	U**Aq"&&>Aq6BBFFK!!1a.BFF7A,?FF	 	!!1rvvgrvv"6A?FF	   	CJJ~'78%%q!RVVnrvvqkB	 	 	r	  N)
r   r   r   r   r
  r
  r
  r  r
  r
  r   rx   rv   r  r  $"  s'    , !OCrx   r  c                       e Zd Zg dZg dZdZd Zd Zd Zd Z	d Z
d	 Zej                  j                  d
dg idg ig g dg      d        Zd Zd Zd Zd Zd Zy)TestBrunnerMunzel)r   r1   r   r   r   r   r   r   r   r   r1   r3   r   r   r2   r2   r3   r2   r   r1   r2   r   r   r4   r3   r^   c                    t        j                  | j                  | j                  d      \  }}t        j                  | j                  | j                  d      \  }}t        j                  | j                  | j                  d      \  }}t        j                  | j                  | j                  d      \  }}t	        ||| j
                         t	        ||| j
                         t        ||k7         t	        |d| j
                         t	        |d| j
                         t	        |d| j
                         t	        |d| j
                         t	        |d| j
                         t	        |d| j
                         y )	NrR  rX  rT  r  |	&	@|	&	gҏGg?g@-pL?)rh   brunnermunzelrf   r  r
   r  r   r  s	            rv   test_brunnermunzel_one_sidedz.TestBrunnerMunzel.test_brunnermunzel_one_sidedm"  s6   $$TVVTVVHB$$TVVTVVKB$$TVVTVVKB$$TVVTVVHBB0@0@AB0@0@AbB 2(,(8(8	:B 3(,(8(8	:B 2(,(8(8	:B 3(,(8(8	:B 5(,(8(8	:B 3(,(8(8	:rx   c                    t        j                  | j                  | j                  d      \  }}t        j                  | j                  | j                  d      \  }}t	        ||| j
                         t	        |d| j
                         t	        |d| j
                         t	        |d| j
                         y )NrP  rX  r  r  r   ҏGw?rh   r  rf   r  r
   r  r  s        rv   test_brunnermunzel_two_sidedz.TestBrunnerMunzel.test_brunnermunzel_two_sided"  s    $$TVVTVVMB$$TVVTVVMBB0@0@AB 2(,(8(8	:B 3(,(8(8	:B 5(,(8(8	:rx   c                 x   t        j                  | j                  | j                        \  }}t        j                  | j                  | j                        \  }}t	        ||| j
                         t	        |d| j
                         t	        |d| j
                         t	        |d| j
                         y )Nr  r  r  r  r  r  s        rv   test_brunnermunzel_defaultz,TestBrunnerMunzel.test_brunnermunzel_default"  s    $$TVVTVV4B$$TVVTVV4BB0@0@AB 2(,(8(8	:B 3(,(8(8	:B 5(,(8(8	:rx   c           	          d}d}d}t        |dv       t        t        t        j                  | j
                  | j                  |||       y )Nr  r  r=  r  r   r   r   rh   r  rf   r  rm   rY  distributionr   s       rv   $test_brunnermunzel_alternative_errorz6TestBrunnerMunzel.test_brunnermunzel_alternative_error"  sI     
#CCDj))ffff!" 	"rx   c                    t        j                  | j                  | j                  d      \  }}t        j                  | j                  | j                  d      \  }}t	        ||| j
                         t	        |d| j
                         t	        |d| j
                         t	        |d| j
                         y )Nr  r&  r  r  r  g "H[?r  r  s        rv   $test_brunnermunzel_distribution_normz6TestBrunnerMunzel.test_brunnermunzel_distribution_norm"  s    $$TVVTVV(KB$$TVVTVV(KBB0@0@AB 2(,(8(8	:B 3(,(8(8	:B 5(,(8(8	:rx   c           	          d}d}d}t        |dv       t        t        t        j                  | j
                  | j                  |||       y )NrP  r  r=  )r  r  r$  r%  s       rv   %test_brunnermunzel_distribution_errorz7TestBrunnerMunzel.test_brunnermunzel_distribution_error"  sH    ! 
?23j))ffff!" 	"rx   kwarg_updaterp   ro   r  c                 X   | j                   | j                  d}|j                  |       t        j                  t
        t              5  t        j                  di |\  }}d d d        t        t        j                         t        t        j                         y # 1 sw Y   >xY w)Nr  r   r   )rf   r  r  r,  r-  r   r   rh   r  r   r   rl   )rm   r-  r'  r
  r	  s        rv   test_brunnermunzel_empty_imputz0TestBrunnerMunzel.test_brunnermunzel_empty_imput"  s{     vvDFF+l#\\,4IJ 	> % 3 3 =f =Iv	>Y'VRVV$	> 	>s   
B  B)c                    ddddddddddddddt         j                  g}g d}t        j                  ||d      \  }}t        j                  ||d      \  }}t	        |t         j                         t	        |t         j                         t	        |t         j                         t	        |t         j                         y )Nr   r1   r3   r  r=  r   )r   rl   rh   r  r   rm   rf   r  r  r  r  r^  s          rv   &test_brunnermunzel_nan_input_propagatez8TestBrunnerMunzel.test_brunnermunzel_nan_input_propagate"  s    1aAq!Q1aArvv>-$$QkBB$$QkBBR R R R rx   c                     ddddddddddddddt         j                  g}g d}d}d}d}t        t        t        j
                  |||||       t        t        t        j
                  |||||       y )Nr   r1   r3   r  rP  r  r   )r   rl   r   r   rh   r  )rm   rf   r  rY  r&  r   s         rv   "test_brunnermunzel_nan_input_raisez4TestBrunnerMunzel.test_brunnermunzel_nan_input_raise"  s    1aAq!Q1aArvv>-!
j))!" 	" 	j))!" 	"rx   c                 v   ddddddddddddddt         j                  g}g d}t        j                  ||d      \  }}t        j                  ||d      \  }}t	        ||| j
                         t	        |d| j
                         t	        |d	| j
                         t	        |d
| j
                         y )Nr   r1   r3   r  r   r   r  r  r  r  )r   rl   rh   r  r
   r  r1  s          rv   !test_brunnermunzel_nan_input_omitz3TestBrunnerMunzel.test_brunnermunzel_nan_input_omit"  s    1aAq!Q1aArvv>-$$Qf=B$$Qf=BB0@0@AB 2(,(8(8	:B 3(,(8(8	:B 5(,(8(8	:rx   c                     g d}g d}d}t        j                  t        |      5  t        j                  ||d       ddd       y# 1 sw Y   yxY w)z| tests that a warning is emitted when p is nan
        p-value with t-distributions can be nan (0/0) (see gh-15843)
        rm  r5  zDp-value cannot be estimated|divide by zero|invalid value encounteredr   r  r)  N)r,  r-  r   rh   r  r  s       rv   test_brunnermunzel_return_nanz/TestBrunnerMunzel.test_brunnermunzel_return_nan"  sH     T\\.4 	8137	8 	8 	8s   AAc                     g d}g d}t        j                  t        d      5  t        j                  ||d      \  }}ddd       t        d       y# 1 sw Y   xY w)	zo tests that a p is 0 for datasets that cause p->nan
        when t-distribution is used (see gh-15843)
        rm  r5  zdivide by zeror   r  r)  Nr   )r,  r-  r   rh   r  r   )rm   ro   rp   r`  r0  s        rv   test_brunnermunzel_normal_distz0TestBrunnerMunzel.test_brunnermunzel_normal_dist#  sX     \\.0@A 	D&&q!(CDAq	DQ	D 	Ds   AAN)r   r   r   rf   r  r  r  r   r"  r'  r*  r,  r,  r  r  r/  r2  r4  r6  r8  r:  r   rx   rv   r  r  g"  s    2A)AK:.::"	:" [[^sBi#r46R.@.B C%C%	!",:	8	rx   r  c                      e Zd ZdZd Zej                  j                  dg dg dddej                   dd	gd
ddej                  dgg      d        Z
ej                  j                  dg dg dg      d        Zej                  j                  dddg      ej                  j                  dd	dg      ej                  j                  dddg      d                      Zd Zy)TestQuantileTestzb Test the non-parametric quantile test,
    including the computation of confidence intervals
    c                 (   g d}d}t        j                  t        |      5  t        j                  |g       d d d        d}t        j                  t        |      5  t        j                  |ddg       d d d        d}t        j                  t        |      5  t        j                  |d	d
g       d d d        t        j                  t        |      5  t        j                  |d       d d d        t        j                  t        |      5  t        j                  |d       d d d        d}t        j                  t        |      5  t        j                  |d       d d d        d}t        j                  t        |      5  t        j                  |      j                  d       d d d        y # 1 sw Y   xY w# 1 sw Y   TxY w# 1 sw Y   "xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   y xY w)Nrm  z/`x` must be a one-dimensional array of numbers.r   z`q` must be a scalar.r   r1   )rT  z-`p` must be a float strictly between 0 and 1.r:   r4  )r0  r  z`alternative` must be one of...z	one-sidedrX  r  )r,  r   r   rh   quantile_testrF  r  s      rv   test_quantile_test_ivz&TestQuantileTest.test_quantile_test_iv#  s   C]]:W5 	%$	% *]]:W5 	-aV,	- B]]:W5 	2c4[1	2]]:W5 	(Q'	(]]:W5 	+T*	+ 4]]:W5 	<{;	< I]]:W5 	:"66q9	: 	:)	% 	%	- 	-	2 	2	( 	(	+ 	+	< 	<	: 	:sS   F=G
GG$G0G<%H=G
GG!$G-0G9<HHzp, alpha, lb, ub, alternative)r  r	  gX݊?g蜶?rP  )r:   r  g-tA?gP"?rP  rY  r	  g{gA?rR  r  r  gg @rT  c                     t        j                  t        j                  ddd            }t        j                  |||      }t        |j                  |      ||gd       y )Nr   r  r  )r0  rY  r  rZ  )r   r  r   rh   r>  r   rF  )rm   r0  r  lbubrY  ro   r   s           rv   test_R_ci_quantilez#TestQuantileTest.test_R_ci_quantile3#  sN      FF299Qd+,!!!qkB//6RuMrx   zq, p, alternative, ref)r  r  rP  gͯI	?)r	  r:   rP  gɍQ%e?c                     t        j                  t        j                  ddd            }t        j                  ||||      }t        |j                  |d       y )Nr   r  r  rT  r0  rY  r9   rZ  )r   r  r   rh   r>  r   r	  )rm   rT  r0  rY  r  ro   r   s          rv   test_R_pvaluezTestQuantileTest.test_R_pvalueG#  sE     FF299Qd+,!!!qA;G

Ce4rx   rk  
continuousdiscreterY  r  c                    t        dt        |      z  t        |      z   |z        }t        j                  j	                  |      }|dk(  r(|j                  d      \  }}|j                  d      }n6|j                  ddd      }|j                         }|j                  dd      }t        j                  ||||      }	|	j                  |	      }
|d
k(  r||
j                  k  }n||
j                  k\  }||   D ]/  }t        j                  ||||      }	|	j                  d|z
  kD  r/J  ||    D ]/  }t        j                  ||||      }	|	j                  d|z
  k  r/J  y )Nr6   rG  r1   r  r~  r   r\   rE  r  rR  )r  rd  r   r  r  r
  rh   r>  rF  rJ  rI  r	  )rm   rk  rY  r  r(  r  r0  rT  r  r   rb  i_insidero   s                rv   test_pval_ci_matchz#TestQuantileTest.test_pval_ci_matchV#  sc    As4yL3{#33U:;ii##D)<::1:%DAq**#*&C,,q"3,/C

AQ#A!!#a[I$$e$< & bgg~Hbff}HX 	*A%%cQ!MC::E	)))	* hY 	*A%%cQ!MC::E	)))	*rx   c                 <   g d}d}t        j                  |ddd      }t        |j                  |d       d	gd
z  dgdz  z   }t        j                  dd      j                  d
      }t        j                  |ddd      }t        |j                  |d       y )N)                                    r        geX?rX  r4  rP  rE  rA	  rZ  ;   r7   rW   h   r:   p   )r0  r@  r  rV  rT  r  r  )rh   r>  r   r	  r   r  )rm   ro   pvalue_expectedr   s       rv   test_match_conover_examplesz,TestQuantileTest.test_match_conover_examples#  s     !!!sdL

O$? DFbT5\!++s377!7<!!!rSiH

O%@rx   N)r   r   r   r   r?  r,  r  r  r   r  rC  rF  rK  r_  r   rx   rv   r<  r<  #  s   :6 [['	G	F
rvvg/	8
s%rvvy	9	;NN [[ 	2	1	3
5
5 [[VlJ%?@[[]VY,?@[[WsDk2$* 3 A A$*LArx   r<  c                       e Zd Zej                  j                  d       ej                  j                  dd      Zej                  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                  j                  d4e	      d5        Zd6d7ddg d8g d9gfd:d;ddg d8g d8g d8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 dAg dBg dBg dBg dBg dBgfgZe
j                  j                  d4e	      e
j                  j                         dC               ZdD ZdE ZdF ZyG)HTestPageTrendTestr   r2   r  r[      i2  g:hў?Frp  i  gsH?i,0  gY@?)r  r  I   r)  r  `   rz  r[  r  r	  r  1   r  +   r=  r  r  r  r  r  rW   r  rY  r  ry  )D   r\  rV  "   r  r  A   X   rX   r  r  r	  r	  C   E   r  rz  r  r{  W   r=  rf  ry  rd  rf  )r  r^   U   r)  O   r]   \   V   rX   @   r   rr  rg  rc   r   Y   rJ  rf  rf  r	  6   r^   B   r  r  i
  gXY?rs  )r;   r   g @r4   r  r\   )r4   r3   r=   r[   r  rX   )r  r  r[   r]   rY   r  iL  gs˜?T)r3   r2   r1   r   )r2   r3   r   r1   rW     gĞ?)r2   r1   r   rN  rm     g>K=?)r5   r4   r3   r2   r1   r   )r   r2   r3   r4   r1   r5   i  gqူ?)r4   r3   r2   r1   r   )r3   r   r2   r1   r4   r     ga?i  g;?)r6   r5   r4   r3   r2   r1   r   )r5   r4   r6   r3   r2   r1   r   r  u   g[^6?zL, p, ranked, method, datac                     t         j                  j                  d       t        j                  |||      }t        ||j                         t        ||j                         t        ||j                         y Nr  )rankedrr  
r   r  r(  rh   page_trend_testr   r
  r   r	  rr  rm   Lr0  r|  rr  rb  r   s          rv   test_accuracyzTestPageTrendTest.test_accuracy#  sP    
		r##DGQ&3::&VSZZ(rx   i  g-lpW?)
r[   r8   r7   r6   r5   r4   r3   r2   r1   r   )
r   r7   r3   r6   r5   r4   r8   r2   r1   r[   i*  gh[?)
r8   r1   r7   r6   r5   r4   r3   r2   r[   r   r.  i  g&]2?)r7   r6   r5   r4   r3   r2   r1   r   )r   r2   r4   r5   r3   r6   r1   r7   r$  c                     t         j                  j                  d       t        j                  |||      }t        ||j                         t        ||j                         t        ||j                         y r{  r}  r  s          rv   test_accuracy2z TestPageTrendTest.test_accuracy2#  sR     			r##DGQ&3::&VSZZ(rx   c                 F   t         j                  j                  d       d\  }}t        j                  d|dz         }t         j                  j	                  t        j                  |            }t         j                  j                  ||      }t        j                  |d      }t        j                  |      }t        j                  |d      }t        j                  |d      }	t        j                  ||      }
t        j                  |d d |f   ||         }t        |j                  |j                         t        |j                  |	j                         t        |j                  |
j                         t        |j                  |j                         y )	Nr  )r[   r  r   rU   Tr|  F)predicted_ranks)r   r  r(  r   ry  r3  rh   rankdatar~  r   r
  )rm   r?  r@  r  permrb  ranksrz  r  r  res4res5s               rv   test_optionszTestPageTrendTest.test_options$  s    
		r1))Aqs+yy$$RYYq\2yy~~a#t!,$$U+$$U48$$T%8$$UOL$$U1d7^5DT5JLT^^T^^4T^^T^^4T^^T^^4T^^T^^4rx   c                    t         j                  j                  d       g dg dg dg dg dg dg}t        j                  |      j                  }t        j
                  dd	      }t        j                  |d
|d      }t        |j                  d       t        |j                  dd       t        j                  |d
|d      }t        |j                  d       t        |j                  dd       y )Nr  )r<  ry  o   )r  r8  k   )g      y   )r  rH  r
  )r        )   r+	  t   r   r6   Frp  )r|  r  rr  i  gy&1l?r3   r  rs  gHPsb?)r   r  r(  r   r  r   rh   r~  r   r
  r   r	  )rm   rb  r  r   s       rv   test_Ames_assayz!TestPageTrendTest.test_Ames_assay$  s    
		r/Cxx~))Aq/##D4C+79 	S]]C(CJJ:##D4C+24 	S]]C(CJJ:rx   c                 D   t        t        d      5  t        j                  d        d d d        t        t        d      5  t        j                  g        d d d        t        t        d      5  t        j                  ddg       d d d        t        t        d      5  t        j                  dggg       d d d        t        t        d      5  t        j                  t        j
                  j                  dd             d d d        t        t        d      5  t        j                  t        j
                  j                  dd             d d d        d}t        t        |      5  t        j                  g dg dgg d	
       d d d        t        t        |      5  t        j                  g dg dgg d
       d d d        t        t        |      5  t        j                  g dg dgg d
       d d d        t        t        |      5  t        j                  g dg dgd
       d d d        t        t        d      5  t        j                  g dg dgd       d d d        t        t        d      5  t        j                  g dg dgd       d d d        t        t        d      5  t        j                  g dddt        j                  ggd       d d d        t        t        d      5  t        j                  g dg dgd       d d d        t        t        d      5  t        j                  g dg dgd       d d d        y # 1 sw Y   ;xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   PxY w# 1 sw Y   "xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   wxY w# 1 sw Y   NxY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   y xY w)Nz`data` must be a 2d array.r   r   r1   zPage's L is only appropriater2   z+`predicted_ranks` must include each integerrm  rV  )rb  r  )r  r1   r2   )r   r1   r2   r2   r  z`data` is not properly ranked)r   r1   r2   Tr   z`data` contains NaNsFr  z`method` must be inekki)rb  rr  z`ranked` must be boolean.)rb  r|  )	r   r   rh   r~  r   r  r3  rl   rv  r  s     rv   ru  z'TestPageTrendTest.test_input_validation*$  sa   :-IJ 	(!!$'	(:-IJ 	&!!"%	&:-IJ 	*!!1a&)	*:-IJ 	+!!QC5'*	+ :-KL 	8!!"))..A"67	8:-KL 	8!!"))..A"67	8 @:W5 	=!!	9'=2;=	= :W5 	?!!	9'=2=?	? :W5 	@!!	9'=2>@	@ :W5 	=!!	9'=2;=	=
 :-LM 	@!!9i"8$?	@:-LM 	@!!9i"8$?	@ :-CD 	0!!9q!RVVn"=).0	0 :-BC 	1!!	9'=)/1	1 9,GH 	1!!	9'=)/1	1 	1W	( 	(	& 	&	* 	*	+ 	+	8 	8	8 	8
	= 	=	? 	?	@ 	@	= 	=
	@ 	@	@ 	@	0 	0	1 	1	1 	1s   M!M.0M;!N4N 4N"/ N/( N<! O	OO#O0=-O=P
:P!M+.M8;NNN"N,/N9<O	OO #O-0O:=P
PPN)r   r   r   r   r  r(  r3  	data_3_25
data_10_26tsr,  r  r  r  ts2r  r  r  r  ru  r   rx   rv   ra  ra  #  s    IINN1		q"%IB'J $e\9
E%ulJ
G$e\===	>? %ug%#&() "D',l,l,l,()
 "D'y)Y	9y)Y	9y)Y	9y)-.
 "D' 24FGI"D'_o_o_o
 "D'y)Y	9y)Y	9y)Y	9
 !4!#8!#8:; "D'y)Y	9y)Y	CDO*
BX [[92>) ?) #T7,,./ $dG,.M,.M,./ $dG%'?%'?%'?%'?%'?%'?%'?%'(C* [[92>[[)  ?)5$;*/1rx   ra  iv5z	fun, argsc                      | |ddi} | |ddi}t        ||       | j                   d}t        j                  t        t        j                  |            5   | |ddd d d d        y # 1 sw Y   y xY w)Nrr  rs  rE  z#() got multiple values for argumentr   )rr  rE  )r   r   r,  r   rv  reescape)r	  r&  r   r  errs        rv   test_rename_mode_methodr  a$  st     t
$G
$C#7#Ddll^>
?C	y		#	7 1T'01 1 1s   
A--A6c                       e Zd Zd Zd Zd Zd Zej                  j                  dg d      ej                  j                  ddd	g      d
               Z
ej                  j                  ddd	g      d        Zy)TestExpectilec                     t         j                  j                  d      }|j                  d      }t        t	        j
                  |d      t        j                  |             y )Nr  r  r  r:   r  )r   r  r  r   rh   	expectilerk   rm   r  ro   s      rv   test_same_as_meanzTestExpectile.test_same_as_means$  sC    ii##B'JJBJ5rwwqzBrx   c                     t         j                  j                  d      }|j                  d      }t        t	        j
                  |d      t        j                  |             y )Nr  r  r  r   r  )r   r  r  r   rh   r  aminr  s      rv   test_minimumzTestExpectile.test_minimumx$  C    ii##B'JJBJ3RWWQZ@rx   c                     t         j                  j                  d      }|j                  d      }t        t	        j
                  |d      t        j                  |             y )Nr  r  r  r   r  )r   r  r  r   rh   r  amaxr  s      rv   test_maximumzTestExpectile.test_maximum}$  r  rx   c                   	 t         j                  j                  d      }d 		fd}d}|j                  |      }|j                         }|j                  |      }t        j                  |||      } ||||      }t        ||       y )Nl   b@lN c                     t        j                  ||      }d|z
  ||| k  <   t        j                  ||z  || z
  dz  z        S )Nr  r   r1   )r   r   r  )ri  r  r  r	  rk  s        rv   r	  z'TestExpectile.test_weights.<locals>.fun$  sC    Q51AE	Aa1fI66!g+Q
233rx   c                     t        j                  |       t        j                  |       f}t        j                  || ||f      j
                  S )N)bracketr&  )r   r	  r	  r   minimize_scalarro   )r  r  r	  r  r	  s       rv   
expectile2z.TestExpectile.test_weights.<locals>.expectile2$  sE    ffQi*G++C23UG1DFFGaHrx   r[   r@	  )r   r  r  rh   r  r   )
rm   r  r  r@  r  r  r	  r   r  r	  s
            @rv   test_weightszTestExpectile.test_weights$  s{    
 ii##$78	4
	H
 JJqM

**Q-ooa8E7+S!rx   r  )r  g?r:   g/#    ?r  r@  r  r  c           
      h   t         j                  j                  d      }|j                  |      }dD ]8  }t	        t        j                  t        j                  ||      |      |       : |j                         }t	        t        j                  ||z   |      t        j                  ||      |z          t	        t        j                  ||z
  |      t        j                  ||      |z
         t	        t        j                  ||z  |      |t        j                  ||      z         |j                  |d      }|dk(  rd	 }n|dkD  rd
 }nd } |t        j                  t         j                  ||z      |      t        j                  ||      t        j                  ||      z          |j                  |d      }t        j                  ||      t        j                  ||      k  sJ |j                  |d      }dD ]b  } |t        j                  d|z
  |z  ||z  z   |      d|z
  t        j                  ||      z  |t        j                  ||      z  z          d t	        t        j                  | |      t        j                  |d|z
                y)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:   )r  r  r  r[   r?  r:   c                     t        | |       y r  )r   r  r"  s     rv   	assert_opz:TestExpectile.test_expectile_properties.<locals>.assert_op$  s    1%rx   c                     | |k  sJ y r  r   r  s     rv   r  z:TestExpectile.test_expectile_properties.<locals>.assert_op$      1uurx   c                     | |kD  sJ y r  r   r  s     rv   r  z:TestExpectile.test_expectile_properties.<locals>.assert_op$  r  rx   r4   )r  r:   r  r   N)r   r  r  r  r   rh   r  r   exponentiallogisticr_)rm   r  r@  r  ro   r  rp   r  s           rv   test_expectile_propertiesz'TestExpectile.test_expectile_properties$  sO   $ ii##B'JJAJ
  	AaA >eL	 OOOOAE/OOAU+a/	
 	OOAE/OOAU+a/	
 	OOAE///	
 LLaRL(C<& S[ 	OOBEE!a%L6OOAU+ooau-.	
 JJA1J%OOAU+uq/NN	
N LLaRL(  	A1a!A#U;177EOOAU334	 	OOQBe,__Qag..	
rx   c                    t         j                  j                  d      }|j                  d|      }g }t        j                  dt        j
                  d      d      }t         j                  d|d|d d	d	   z
  df   D ](  }|j                  t        j                  ||
             * t        j                  t        j                  |      dkD        sJ y )Nr  r1   )r  r  r  r:   r~  r   r   ra   r  )r   r  r  paretologspacelog10r  r  rh   r  r  diff)rm   r@  r  ro   e_list	alpha_seqr  s          rv   test_monotonicity_in_alphaz(TestExpectile.test_monotonicity_in_alpha%  s    ii##B'JJJ#KKRXXc]C8	UU1iYv2v->)>AB 	;EMM%//!59:	;vvbggfo)***rx   N)r   r   r   r  r  r  r  r,  r  r  r  r  r   rx   rv   r  r  r$  s    C
A
A
"4 [[: [[S2t*-_
 ._
B [[S2t*-+ .+rx   r  c            	       `   e Zd Zg dZdg dej
                  ej                  dgZd Ze	d        Z
ej                  j                  dedd	g g d
ggz         d        Zej                  j                  de      d        Zej                  j                  de      d        Zej                  j                  de      d        Zej                  j                  dddg dg      ej                  j                  dddg      ej                  j                  dddg      d                      Zd Zy)TestLMoment)yףp=
?r  p=
ף?r;   r  r  r;   r:   r   r  r  {Gz?g@(\?gףp=
?
ףp=
?g)\(?gRQ @r  {Gz?ffffff @r  g{Gz@gRQ?gGz@gQ?(\?r  gzG?g
ףp=
?gQ?ffffff?gGz
@g(\?g(\?gQ?q=
ףp?g(\@Q?gGz	@rw	  Q?r  p=
ף @r  gp=
ף@gq=
ףp@gRQ?Gz?g
ףp=
?r  gHzG?g      @rw	  gQ?r  r  RQ?r  gQ?p=
ף?gQ@gGz?gQ?gp=
ף?q=
ףp?r  gp=
ף?gQ?r  r  g@r  g)\( @gzG@r  r  gGz?g(\?r  333333?)\(?r  r  gGz@r  g(\?g=
ףp=?r  r  gHzG?{Gz?r  g
ףp=
?gףp=
?r  r  r  gQ?rr  g?r  r  g(\?r  gQ?gffffff@gQ?g?r  gGz?r  g{Gz?gHzG@r  r  r  g\(\?g(\?r  g(\?r;   )r   r1   r=   za duckc                     d}t        j                  t        |      5  t        j                  t        j                  | j                  t
        j                               d d d        y # 1 sw Y   y xY wNz*`sample` must be an array of real numbers.r   r5  )	r,  r   r   rh   lmomentr   r   rb  r  r  s     rv   test_dtype_ivzTestLMoment.test_dtype_iv%  sM    >]]:W5 	DMM"((499BMMBC	D 	D 	Ds   AA**A3c                     d}t        j                  t        |      5  t        j                  t        j                  | j                  t                     d d d        y # 1 sw Y   y xY wr  )	r,  r   r   rh   r  r   r   rb  r  r  s     rv   test_dtype_iv_non_numericz%TestLMoment.test_dtype_iv_non_numeric"%  sE    >]]:W5 	=MM"((499F;<	= 	= 	=s   9A  A)r  r   ra   rm  c                     d}t        j                  t        |      5  t        j                  | j
                  |       d d d        y # 1 sw Y   y xY w)Nz*`order` must be a scalar or a non-empty...r   r  r,  r   r   rh   r  rb  )rm   r  rt  s      rv   test_order_ivzTestLMoment.test_order_iv(%  s<    >]]:W5 	2MM$))51	2 	2 	2   "A		ArV   c                     d}t        j                  t        |      5  t        j                  | j
                  |       d d d        y # 1 sw Y   y xY w)Nz"`axis` must be an integer, a tupler   rU   r  )rm   rV   rt  s      rv   test_axis_ivzTestLMoment.test_axis_iv.%  s<    6]]:W5 	0MM$))$/	0 	0 	0r  sortedc                     d}t        j                  t        |      5  t        j                  | j
                  |       d d d        y # 1 sw Y   y xY w)Nz`sorted` must be True or False.r   )r  r  )rm   r  rt  s      rv   test_sorted_ivzTestLMoment.test_sorted_iv4%  s<    3]]:W5 	4MM$))F3	4 	4 	4r  standardizec                     d}t        j                  t        |      5  t        j                  | j
                  |       d d d        y # 1 sw Y   y xY w)Nz$`standardize` must be True or False.r   )r  r  )rm   r  rt  s      rv   test_standardize_ivzTestLMoment.test_standardize_iv:%  s<    8]]:W5 	>MM$))=	> 	> 	>r  r   r3   rW  FTc                 .   t        j                  g d      }|s|dd xxx |d   z  ccc |rt        j                  | j                        n| j                  }t	        j
                  ||||      }t        ||t        j                  |      dz
            y )N)g0ʻEH?gk?gz[?g+3 ?r1   r   )r  r  )r   re   r	  rb  rh   r  r   )rm   r  r  r  r  rb  r   s          rv   test_lmomentzTestLMoment.test_lmoment@%  s}     jj B C Gs1vG%+rwwtyy!mmD%[PSE!21!456rx   c                    t         j                  }t        j                  | j                        }t	        j
                  |j                  |            }t	        j
                  |      }|j                  j                  |k(  sJ t        ||d       t         j                  }t        j                  g d      }t	        j
                  |j                  |            }t	        j
                  |j                  t         j                              }|j                  j                  t         j                  k(  sJ t        ||d       y )Nru  rZ  r  r  )r   r   re   rb  rh   r  r  r3  r  r   int64r   )rm   r3  sampler   r  s        rv   
test_dtypezTestLMoment.test_dtypeT%  s    

DII&mmFMM%01mmF#yy~~&&&St,O,mmFMM%01mmFMM"**56yy~~+++Su-rx   N)r   r   r   rb  r   rl   r  not_integersr  r(   r  r,  r  r  r  r  r  r  r  r  r   rx   rv   r  r  %  sN   
ND bffbffh?LD
 = =
 [[WlaR)5M&MN2 O2
 [[V\20 30
 [[X|44 54
 [[]L9> :>
 [[Wq!\&:;[[]UDM:[[Xt}57 6 ; <7".rx   r  c                      e Zd Zej                  j                  dg d      ej                  j                  dddg      ej                  j                  dddg      d                      Zd	 Zd
 Zd Z	d Z
d Zd Zd Zy)TestXP_MeanrV   Nr   ra   )r  r1   r	  NTrP  Fc                    t         j                  j                  d      }|j                  d      }|j                  |      }d x}}	|r;|j                  d      }|j                  |      }	t        j                  ||      \  }}t        ||	||      }
t        j                  ||||      }t        |
|j                  |             y )N   -fH rf  r   )r	  rV   rP  )r   r  r  re   ra  r#   r	  r/   )rm   rn   rV   r	  rP  r  ro   x_xprk  w_xpr   r  s               rv   test_xp_mean_basiczTestXP_Mean.test_xp_mean_basicf%  s     ii##N3JJy!zz!}D

6"A::a=D&&q!,DAqtTxHjjAD8DRZZ_-rx   c                     |j                  d      |j                  d      }}d}t        j                  t        |      5  t        ||       d d d        y # 1 sw Y   y xY w)Nr   r4   z/Array shapes are incompatible for broadcasting.r   r@	  )r   r  r,  r   r   r#   )rm   rn   ro   rk  rt  s        rv   test_non_broadcastablez"TestXP_Mean.test_non_broadcastabley%  sM    yy~rxx{1C]]:W5 	#Q"	# 	# 	#s    AA c                    |j                  g d      }t        |j                  g d      |      }t        ||j                  |j                               t        |j                  g d      |      }t        ||j                  t        j
                                t        |j                  g d      |      }t        ||j                  t        j
                               y )Nr  r
  r@	  )rD  r   r   )r   r   rD  )re   r#   r/   rl   r   r  )rm   rn   r	  r   s       rv   test_special_caseszTestXP_Mean.test_special_cases%  s    **]+rzz,/ARZZ/0rzz,/ARZZ01rzz,/ARZZ/0rx   c                    |j                  d      }|dk(  }|j                  ||j                  |j                        |      }d}t	        j
                  t        |      5  t        |d       d d d        t        |      }t        |d      }|j                  |j                        }t        ||       t        ||       t        |d      }|j                  ||          }t        ||       |j                  d	      }	|j                  ||j                  |j                        |	      }	t        |j                  d      |	d
      }|j                  ||          }t        ||       d}t	        j                  t        |      5  t        |t        j                  z  d      }|j                  |j                        }t        ||       d d d        y # 1 sw Y   jxY w# 1 sw Y   y xY w)Nr   r2   r   r   r   r   r=  r   r[   )r	  r   After omitting NaNs...)r   r  re   rl   r,  r   r   r#   r0   rk   r/   r  r-  r   r   )
rm   rn   ro   r  rt  rz  r  r  r   r	  s
             rv   r1  zTestXP_Mean.test_nan_policy%  s   IIcNQHHT2::bff-q1 2]]:W5 	,Q7+	, {k2jj c"c" qV,ggahS! ''"+((4BFF!3W=ryy~w6JggahS! +\\.8 	&1rvv:&9C**RVV$CC%	& 	&1	, 	,0	& 	&s    GAG#G #G,c                 L   d}t        j                  t        |      5  t        |j	                  g             }|j	                  |j
                        }t        ||       d d d        d}t        j                  t        |      5  t        |j	                  g g      d      }|j	                  |j
                  g      }t        ||       d d d        t        |j	                  g g      d      }|j	                  g       }t        ||       y # 1 sw Y   xY w# 1 sw Y   PxY wNz,One or more sample arguments is too small...r   z2All axis-slices of one or more sample arguments...r   rU   r   )r,  r-  r   r#   re   rl   r0   rm   rn   rt  r   r  s        rv   r@  zTestXP_Mean.test_empty%  s    @\\,G< 	&2::b>*C**RVV$CC%	&
 G\\,G< 	&2::rd+!4C**bffX&CC%	&
 rzz2$'a0jjnS!	& 	&	& 	&   ADADDD#c                    |j                  |j                        j                  }t        j                  ||gt        j                        }|j	                  |      }t        j
                  d      5  t        |      }t        j                  |      }t        j                  j                  |t        j                         t        ||j	                  |             d d d        t        ||j                        }|j	                  t        j                  t        j                  |t        j                                    }t        ||       y # 1 sw Y   txY w)Nr5  r  over)r   r   r	  r   re   r  r#   rk   r  r   r  r/   r   rm   rn   r	  x_npr  r   r  s          rv   r  zTestXP_Mean.test_dtype%  s    hhrzz"&&zz3*BJJ7zz$ [[h' 	24.C''$-CJJ##C0CC1		2 t2::.jjD

!CDES!	2 	2s   4A*EEc                     |j                  d      }|j                  d      }t        t        |      t        |             t        t        ||      t        ||             y )Nr[   r   r@	  )r   r0   r#   rm   rn   ro   rp   s       rv   test_integerzTestXP_Mean.test_integer%  sF    IIbMIIcNXa[1A.A0FGrx   c                 X   t         j                  j                  d      }|j                  d      \  }}}}t        |j	                  ||dz  z         |j	                  ||dz  z               }t        j
                  ||dz  z   ||dz  z         }t        ||j	                  |             y )Nr  )r3   r  r   r@	  )r   r  r  r#   re   r	  r/   )	rm   rn   r  ro   rp   wxwyr   r  s	            rv   r  z TestXP_Mean.test_complex_gh22404%  s    ii##N3zz'*1b"rzz!ad(+RZZRU
5KLjjQrT22:6RZZ_-rx   )r   r   r   r,  r  r  r  r  r  r1  r@  r  r  r  r   rx   rv   r  r  d%  s    [[V%;<[[Yt5[[Z%7. 8 6 =. #1"&H""""H.rx   r  r  c                   ~   e Zd Zej                  j                  dg d      ej                  j                  dddg      ej                  j                  dddg      ej                  j                  d	d
dg      d                             Zd Zd Zd Z	d Z
d Zej                  j                  dd      d        Zy)
TestXP_VarrV   r  rP  FTr}   r   r   r   r=  r   c                    t         j                  j                  d      }|j                  d      }t         j                  }|dk(  rB|j                  |j                        dkD  }	t         j
                  ||	<   t         j                  }|j                  |      }
t        |
||||      }t               5 }|j                  t        d        |||||      }d d d        t        ||j                               y # 1 sw Y   %xY w)	Nr  rf  r   r  r:   )rV   rP  r}   r   r  )rV   rP  r  )r   r  r  r   r  rl   nanvarre   r$   r   r   r   r/   )rm   rn   rV   rP  r}   r   r  ro   var_refnan_maskr  r   r   r  s                 rv   test_xp_var_basiczTestXP_Var.test_xp_var_basic%  s    
 ii##N3JJy!&&zzqwwz/#5H&&AhKiiGzz!}dZ!+-   	LCJJ~'JK!$
KC	L 	RZZ_-		L 	Ls   3#C::Dc                     t        |j                  ddg      d      }t        ||j                  |j                               y )Nr   rD  r2   r|   )r$   re   r/   rl   )rm   rn   r   s      rv   r  zTestXP_Var.test_special_cases%  s2    bjj"b*q9RZZ/0rx   c                    |j                  d      }|dk(  }|j                  ||j                  |j                        |      }d}t	        j
                  t        |      5  t        |d       d d d        t        |      }t        |d      }|j                  |j                        }t        ||       t        ||       t        |d      }t        |      }	|	j                  ||          }t        ||       d	}t	        j                  t        |      5  t        |t        j                  z  d      }|j                  |j                        }t        ||       d d d        y # 1 sw Y   xY w# 1 sw Y   y xY w)
Nr   r2   r   r   r   r   r=  r   r  )r   r  re   rl   r,  r   r   r$   r0   r)   r   r/   r-  r   r   )
rm   rn   ro   r  rt  rz  r  r  r   r   s
             rv   r1  zTestXP_Var.test_nan_policy&  s=   IIcNQHHT2::bff-q1 2]]:W5 	+A'*	+ qzq[1jj c"c" aF+!!$kk!TE(#S! +\\.8 	&!bff*8C**RVV$CC%	& 	&%	+ 	+$	& 	&s    E&AE2&E/2E;c                 L   d}t        j                  t        |      5  t        |j	                  g             }|j	                  |j
                        }t        ||       d d d        d}t        j                  t        |      5  t        |j	                  g g      d      }|j	                  |j
                  g      }t        ||       d d d        t        |j	                  g g      d      }|j	                  g       }t        ||       y # 1 sw Y   xY w# 1 sw Y   PxY wr	  )r,  r-  r   r$   re   rl   r0   r
  s        rv   r@  zTestXP_Var.test_empty"&  s    @\\,G< 	&"**R.)C**RVV$CC%	&
 G\\,G< 	&"**bT*3C**bffX&CC%	&
 bjj"&Q/jjnS!	& 	&	& 	&r  c                    |j                  |j                        j                  }t        j                  ||dz  gt        j                        }|j	                  |      }t        j
                  d      5  t        |      }t        j                  |      }t        j                  j                  |t        j                         t        ||j	                  |             d d d        t        ||j                        }|j	                  t        j                  t        j                  |t        j                                    }t        ||       y # 1 sw Y   txY w)Nr1   r5  r  r  )r   r   r	  r   re   r  r$   r   r  r   r  r/   r   r  s          rv   r  zTestXP_Var.test_dtype3&  s    hhrzz"&&zz3A,bjj9zz$ [[h' 	2$-C&&,CJJ##C0CC1		2 d"**-jj

4rzz BCDS!	2 	2s   7A*EEc                     |j                  d      }|j                  d      }t        t        |      t        |             y )Nr[   r   )r   r0   r$   r  s       rv   r  zTestXP_Var.test_integerD&  s.    IIbMIIcN
GAJ/rx   rG   r  rE   c                    t         j                  j                  d      }|j                  d      \  }}t        |j	                  ||dz  z               }t        j
                  ||dz  z         }t        ||j	                  |      d       y )Nr  )r1   r  r   F)check_dtype)r   r  r  r$   re   r   r/   )rm   rn   r  ro   rp   r   r  s          rv   r  zTestXP_Var.test_complex_gh22404J&  sm    ii##N3zz'"1bjjQrT*+ffQ2XRZZ_%@rx   N)r   r   r   r,  r  r  r  r  r1  r@  r  r  rH   r  r   rx   rv   r  r  %  s     [[V%;<[[Z%7[[\Aq62[[\K+@A. B 3 8 =.*1
&<""""0 [[!!"4=R!SA TArx   r  c           	      2   t         j                  j                  d      }|j                  d      }| j                  |      }d}t	        |||       \  }}t        || j                  |             t        ||       d }t	        |||       \  }}t        || j                  |j                                      t        |d       d}t	        |d   ||       \  }}t        || j                  t        j                  |d                      t        ||       y )	Nl   ~Mr`  r  r   r1	  r   r1   rZ  )	r   r  r  re   r    r0   r   r  
atleast_1d)rn   r  r  ro   rV   x_outaxis_outs          rv   test_chk_asarrayr)  S&  s    
))


.C		#B


2AD"14B7OE8E2::b>*4 D"14B7OE8E2::bhhj121D"1W:DR@OE8E2::bmmBwK&@AB4 rx   numpyz,These parameters *are* compatible with NumPyc                 J   | j                  g d      }d}t        j                  t        |      5  t	        j
                  |d       d d d        t        j                  t        |      5  t	        j
                  |d       d d d        y # 1 sw Y   ExY w# 1 sw Y   y xY w)NrW  r  r   r   r   Tro  )re   r,  r   r  rh   r  )rn   ro   rt  s      rv   'test_axis_nan_policy_keepdims_nanpolicyr,  i&  s     	

< A5G	*'	: )

1()	*'	: %

1t$% %) )% %s   B,BBB"rK  )r   rB
  r  rj  collectionsr   	itertoolsr   hypothesis.extra.numpyextrar*  r  r  r  numpy.testingr   r   r   r   r	   r
   r   r   r   r,  r   r   numpy.ma.testutilsr  	testutilsr  r   r   r   r   r   scipy.statsrh   scipy.stats.mstatsr  scipy.stats._mstats_basic_mstats_basicr  scipy.stats._ksstatsr   scipy.special._testutilsr   scipy.specialr   scipyr   common_testsr   scipy.stats._axis_nan_policyr   r   r   r   r   r   rK  r   r    r!   r"   r#   r$   r%   scipy._lib._utilr&   scipy.conftestr'   r(   scipy._lib._array_apir)   r*   r+   r,   r-   r.   scipy._lib._array_api_no_0dr/   r0   r  rH   r  rf   r  r   r   r   r   r   r  rJ   r   r  r  r  r  r  r  r  r  r
  rZ  r]  ra  ro  rq  r  r  r  r  r  rB  r  r  r  r2  r4  rr  r  r  r  r  	compositer  r  r#  PowerDivCaser  ry  r  r  r\  r  r  r  r  r  r  rr  rx  r|  r  r  r  r  r  r  rg  r  r  r  r  r  r  r  r  r	  r#  r0  r6  r9  r;  r=  r?  rC  rE  rP  rT  rW  rY  r  ra  rc  re  rg  r  r  r  r  r  r  r  r  r	  r		  r	  r	  r	  r	  rU	  rk	  r	  r	  r	  r	  r	  r	  r	  r*
  r|
  r
  r
  r
  r
  r  r  r<  ra  r  r  r  ro   rp   wilcoxonr  r  r  r  r  r  r  r  r  r  r)  r,  r   rx   rv   <module>rE     s~   
 	  "  % %  . . .
  *     / /   # # 0 0 ( -   -T TU U U & DG G H;;//  

u% %(  !&(	 238
:DeLDeL3U; +&JK$P +,rT rT -	 L rTjp# p#f +,4 N> N> ! - N>bDL DLN{6 {6|~5 ~5VW3t4 <3$SE SElW2t&&$R+ +(V# V#r0D)3"rN rNjf3 f3R *E *E *EZ +,+&DEW" W" F - W"t<@ <@~1f@ f@Rs" s"l= =x" x"vg"# g"T    !< t%@  B+,F) F)  -BF)Rp> p>f & }Dqt&"&&+6266$<78AfbffSkMAfbffTlN:;I	K }N&"&&+&"&&,66266#;FGAfbffSkMBvrvvd|O;asmKL1	2 }AAD&"&&+6266$<78AfbffSkMAfbffTlN:;I	K |<aaQa1+ : r!!Qa1
 xrxxBr
+--!!" xrxxBr
+!!# 4 F< F< F<R (' (' ('V S# S# S#l4Dn+( +(`Z. Z.~c. c.L	rEj1*+ ,#288I.7#288I.79:0:0
. (HI J. ) ,,yryy}a.@A ??YRYYr]IBIIbM,JKMN5N5
/d 
/ t%@  B+,Q% -B Q%h7At DEO7 O7 FO7d
 DEF5 F5 FF5RT7 T7n t%@  B+,HB HB -B HBVL$ t%@  B+,N' -B N'b t%@  B+,5 -B 5* , % % &!12+,,#288I.7#288I.79:0:  - 30  
& 
& & & d%I  K+,G -K G t%@  B+,% -B % t%@  B+,G -B G8% t%@  B+,9>  -B 
9>x d%O  Q+,  -Q, t%@  B+,%  -B%<V+ V+r <- <- <-|"> ":/&~ /&d:^ :
A A. :1 :1 :1z{- {-|1"(>V 15D+ DDD o3 o3 o3d f3 f3 f3R wW wW wWtP- P-f(.90[;|T7 T7n,/ ,/^i) i)Xz) z)zX Xv 4$k2.0 +,c4 c4  -	0c4L#A #ALl  l ^[ [|@ @Fi iXHA HAV{1 {1| 	iiI&JJrNJJrN  >>A40 >>Auzz~~+>? >>Aq62 <<!Q011X+ X+vT. T.n z. z. z.z +,+&QRkA kA S - kA\ ! !* g%S  U+,
%  -U
%rx   