
    S_f                       d dl Z d dlZd dlmZ d dlZd dlmZ d dlm	Z	m
Z
mZmZmZmZmZmZ d dlZd dlmZ d dlZd dlmZmZmZ d dlmZmZmZ dd	lmZ d
dlm Z m!Z! d dl"m#Z# d dl$m%Z%  e&e%      Z%	 d dl'Z'de'jP                  d<   d dl)m*Z+ dZ,g dZ.g dZ/g dZ0g dZ1g dZ2g dZ3g dZ4g dZ5g dZ6g dZ7d Z8 G d d      Z9 G d d       Z: G d! d"      Z; G d# d$      Z< G d% d&      Z= G d' d(      Z> G d) d*      Z? G d+ d,      Z@ G d- d.      ZA G d/ d0      ZBd1 ZC G d2 d3      ZD G d4 d5      ZE G d6 d7      ZF G d8 d9      ZG G d: d;      ZH G d< d=      ZI G d> d?      ZJ G d@ dA      ZKg dBZL G dC dD      ZM G dE dF      ZN G dG dH      ZO G dI dJ      ZP G dK dL      ZQ G dM dN      ZR G dO dP      ZS G dQ dR      ZT G dS dT      ZU G dU dV      ZVy# e-$ r dZ,Y Uw xY w)W    N)partial)RandomState)assert_array_equalassert_almost_equalassert_array_lessassert_array_almost_equalassert_assert_allcloseassert_equalsuppress_warnings)raises)optimizestatsspecial)
_abw_state_get_As_weibull_Avals_weibull   )check_named_results   )_get_wilcoxon_distr_get_wilcoxon_distr2)_binary_search_for_binom_tst)distcontAggbackendTF)
jt?Zd;?V-?      ?gX9v?-?x&1?+?+?r    )
r   r   r    r"   灕Cl?r   r   r    r   V-?)
ʡE?g/$?r%   r#   ףp=
?r$   r    r#   r   r   )
gGz?r"   r$   r    r(   r$   r   r   r"   r   )
r   r   gCl?Gz?r"   rh|?r   r!   g\(\?r   )
羟/$?gh|?5?r+   r%   r&   r"   r(   r   g1Zd?r   )
r)   Mb?r   gjt?r   r    g}?5^I?g)\(?r   r"   )
r   r    r   r    r"   r   r   r   r"   r   )
r"   r   r   r(   r   r,   r,   r   r#   r'   )
r'   r(   r*   r$   r%   r%   r'   r   r,   r%   c                  f    t        j                  t        j                  j                  | i |      S N)nplogr   gammarvs)argskwargss     @lib/python3.12/site-packages/scipy/stats/tests/test_morestats.py_old_loggamma_rvsr6   6   s#    66%++//426233    c                       e Zd Zd Zd Zd Zy)TestBayes_mvsc                 V   g d}t        j                  |      \  }}}t        |j                  d       t	        |j
                  dd       t        |j                  d       t	        |j
                  dd       t        |j                  d	d
       t	        |j
                  dd       y )N   	            r@            "@gURH#j@gV[%@ư>rtol      $@gai	@gӇu8@&.>_紫@   decimalgYs?g1O@+=)r   	bayes_mvsr   	statisticr
   minmaxselfdatameanvarstds        r5   
test_basiczTestBayes_mvs.test_basic;   s     '.c3DNNC0%L!	# 	CMM40

$K"	$ 	CMM+=rJ

$L"	$r7   c                 B    t        t        t        j                  g        y r.   )assert_raises
ValueErrorr   rP   rT   s    r5   test_empty_inputzTestBayes_mvs.test_empty_inputM   s    j%//26r7   c                     t        j                  d      }d}t        j                  |      }|D ]  }t	        ||        y )N   )rQ   rR   )r/   aranger   rP   r   )rT   x
attributesresis        r5   test_result_attributesz$TestBayes_mvs.test_result_attributesP   s;    IIbM,
ooa  	/A:.	/r7   N)__name__
__module____qualname__rY   r^   rf    r7   r5   r9   r9   :   s    $$7/r7   r9   c                   $    e Zd Zd Zd Zd Zd Zy)TestMvsdistc                    g d}t        j                  |      \  }}}t        |j                         d       t	        |j                  d      dd       t        |j                         d       t	        |j                  d      dd	       t        |j                         d
d       t	        |j                  d      dd       y )Nr;   rB   ?rC   rO   rE   rG   rH   rI   rJ   rK   rL   rN   )r   mvsdistr   rV   r
   intervalrS   s        r5   rY   zTestMvsdist.test_basicZ   s    &t,c3DIIK-c* -AGL	N 	CHHJ-S) ,?EJ	L 	CHHJ(:BGS) ,@FK	Mr7   c                 B    t        t        t        j                  g        y r.   r[   r\   r   ro   r]   s    r5   r^   zTestMvsdist.test_empty_inputi   s    j%--4r7   c                 H    dg}t        t        t        j                  |       y Nr   rr   rT   rU   s     r5   test_bad_argzTestMvsdist.test_bad_argl   s    sj%--6r7   c                 j   t        j                         5  t        j                  dt               t	        j
                  g d      D cg c]  }|j                          c} t	        j
                  g d      D cg c]  }|j                          c} d d d        y c c}w c c}w # 1 sw Y   y xY w)Nerrorr   r      r   r   rz         )warningscatch_warningssimplefilterRuntimeWarningr   ro   rV   rT   rb   s     r5   
test_warnszTestMvsdist.test_warnsq   sz     $$& 	?!!'>:$}}Y78!QVVX8$}}_=>!QVVX>	? 	?8>	? 	?s)   4B)	B B)<B$B)
B))B2N)rg   rh   ri   rY   r^   rv   r   rj   r7   r5   rl   rl   Y   s    M57
?r7   rl   c                   <    e Zd Zd Zd Zd Zd Zd Zd Zd Z	d Z
y	)
TestShapiroc                 2   g d}t        j                  |      \  }}t        j                  |      }t        |dd       t        |j                  dd       t        |dd       t        |j                  dd       g d}t        j                  |      \  }}t        j                  |      }t        |dd       t        |j                  dd       t        |dd	       t        |j                  dd	       t         j
                  j                  d
d	dd      }t        j                  |      \  }}t        j                  |      }t        |dd       t        |j                  dd       t        |dd	       t        |j                  dd	       g d}d}d}	t        j                  |      \  }}t        j                  |      }t        ||d       t        |j                  |d       t        ||	d
       t        |j                  |	d
       y )N))\(?{Gz@q=
ףp@HzG$@@Q	@q=
ףp?Q@zG?      @Q?RQ?Q	@(\?zG?zG@(\#@333333@Gz?p=
ף@   ?r<   rL      Ɍ?)(\?=
ףp=?\(\@ffffff@\(\?(\?Gz@(\ףp=
@皙?)\(?RQr   p=
ף?@
ףp=
?{Gz?\(\@{Gz@Q@IddY?Dio?rz   r}   d   iNa locscalesizerandom_stateg   E?g   Oٴ?)gn?gjt?gffffff?gMb?gjt?g;On?gjt?gX9v?gS?g(\?gI+?gʡE?gx?g|?5^?r   gCl?g1Zd@gS@g(\	@gGz@g rh@g"~j@gQ@gtV@gʡE @ghyܝ?g0M?r|   )r   shapiror   rQ   pvaluenormr2   )
rT   x1wpwshapiro_testx2x3x4
W_expected
p_expecteds
             r5   rY   zTestShapiro.test_basic{   s   8 b!2}}R(A2A>L224GQRSB 4a@L//1EqQ& b!2}}R(Ay!4L22IqIB3L//!D ZZ^^8^Lb!2}}R(A11=L224FPQRB 3Q?L//1DaP? 

b!2}}R(Az15L22JJB
A6L//QGr7   c                    g dg dg}t        j                  |      \  }}t        j                  |      }t        |dd       t        |j                  dd       t        |dd       t        |j                  dd       g dg dg}t        j                  |      \  }}t        j                  |      }t        |d	d       t        |j                  d	d       t        |d
d       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   r<   rL   r   )
r   r   r   r   r   r   r   r   r   r   )
r   r   r   r   r   r   r   r   r   r   r   r   rz   )r   r   r   rQ   r   )rT   r   r   r   r   r   s         r5   test_2dzTestShapiro.test_2d   s     "89 b!2}}R(A2A>L224GQRSB 4a@L//1EqQ&' b!2}}R(Ay!4L22IqIB3L//!Dr7   c                     t        t        t        j                  g        t        t        t        j                  g g g g       y r.   r[   r\   r   r   r]   s    r5   r^   zTestShapiro.test_empty_input   s(    j%--4j%--"b">r7   c                     t        t        t        j                  ddg       t        t        t        j                  t	        j
                  g dggt                     y )Nr   r   dtype)r[   r\   r   r   r/   arrayobjectr]   s    r5   test_not_enough_valuesz"TestShapiro.test_not_enough_values   s7    j%--!Q8j%--2s)61RSr7   c                 H    dg}t        t        t        j                  |       y rt   r   r   s     r5   rv   zTestShapiro.test_bad_arg   s    Cj%--3r7   c                    t        j                  d      }t         j                  |d<   t        j                  |      \  }}t        j                  |      }t        |t         j                         t        |j                  t         j                         t        |t         j                         t        |j                  t         j                         y )NrG   r=   )	r/   ra   nanr   r   r   rQ   r   r   )rT   rb   r   r   r   s        r5   test_nan_inputzTestShapiro.test_nan_input   s    IIcNvv!a 2}}Q'Q\++RVV4 	B'L//8r7   c                     t        j                  g d      \  }}t        j                  |      }d}t        ||d       y )N)i i = i@ )gPq~?gF?h㈵>rE   )r   boxcoxr   r
   )rT   	trans_valmaxlogrd   refs        r5   test_gh14462zTestShapiro.test_gh14462   s9     "LL)AB	6mmI& 2St,r7   c                     t        j                  g d      }|j                  dk\  sJ g d}t        j                  |      }t        |j                  d       t        |j                  dd       y )N)g9B.?        r   r   )g1gIۿg0!?gr??gel?rD   rE   )r   r   r   r
   rQ   )rT   rd   rb   s      r5   test_length_3_gh18322z!TestShapiro.test_length_3_gh18322   sX     mm:;zzQ KmmA'78

O$?r7   N)rg   rh   ri   rY   r   r^   r   rv   r   r   r   rj   r7   r5   r   r   z   s/    )HVE*?T4
9-"@r7   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ej                  j                  dg d      d        Zd Zy)TestAndersonc                    t        d      }|j                  d      }|j                  d      }t        j                  |      \  }}}t        |d d |       t        j                  |      \  }}}t        ||dd         t        j                  d      }d|d<   t        j                  |      \  }}}t        |d       y )	NI2   r   
   r   g	@)	r   standard_exponentialstandard_normalr   andersonr   r/   onesr
   )rT   rsr   r   Acritsigvs           r5   test_normalzTestAnderson.test_normal   s    $$$"$-R(~~b)4$s)Q'~~b)4!T"#Y'GGBK!~~a(4 	8$r7   c                 `   t        d      }|j                  d      }|j                  d      }t        j                  |d      \  }}}t        ||dd         t        j                  d      5  t        j                  |d      \  }}}d d d        t        ||d   kD         y # 1 sw Y   xY w)	Nr   r   r   exponr   ignoreallr   )	r   r   r   r   r   r   r/   errstater	   )rT   r   r   r   r   r   r   s          r5   
test_exponzTestAnderson.test_expon  s    $$$"$-R(~~b'24!T"#Y'[[X& 	7 >>"g6LAtS	7DH	7 	7s   /B$$B-c           	         t        j                  d      }d|d<   t        j                  |d      \  }}}t	        |      }t        j
                  j                  |      \  }}t        j
                  j                  |||      }t        j
                  j                  |||      }	t        j                  d|dz         }
| t        j                  d|
z  dz
  ||	d d d   z   z        z
  }t        ||       y )Nr   r   r   gumbelr   r   r   )r/   r   r   r   lengumbel_lfitlogcdflogsfra   rV   r
   )rT   r   a2r   r   nxbarsr   r   re   expected_a2s               r5   test_gumbelzTestAnderson.test_gumbel  s     GGCL!q(3D#F..$$Q'a&&q$2$$Qa0IIa1b277AaC!Gtt0D#EFFK(r7   c                 H    t        t        t        j                  dgd       y Nr   plate_of_shrimpdist)r[   r\   r   r   r]   s    r5   rv   zTestAnderson.test_bad_arg*  s    j%..1#<MNr7   c                     t        d      }|j                  d      }t        j                  |      }d}t	        ||       y )Nr   r   r   rQ   critical_valuessignificance_level)r   r   r   r   r   )rT   r   rb   rd   rc   s        r5   rf   z#TestAnderson.test_result_attributes-  s<    $###,nnQK
C,r7   c                     t        d      }|j                  d      }t        j                  |d      \  }}}t        j                  |d      \  }}}t	        ||       y )Nr   r   r   r   r   )r   r   r   r   r
   )	rT   r   rb   A1crit1sig1A2crit2sig2s	            r5   test_gumbel_lzTestAnderson.test_gumbel_l4  sT     $II3I..H5E4..J7E4Br7   c                    t        d      }|j                  d      }t        j                  d      }d|d<   t	        j
                  |d      \  }}}t	        j
                  |d      \  }}}	t        ||dd         t        ||d   kD         y )	Nr   r   r   r   r   gumbel_rr   r   )r   r   r/   r   r   r   r   r	   )
rT   r   r   r   r  r  r  r  r  r  s
             r5   test_gumbel_rzTestAnderson.test_gumbel_r>  s     $YYCY WWS\ 1..Z8E4..Z8E4"eBCj)U2Yr7   c                    t        j                  g d      }t        j                  |d      }|j                  j
                  \  }}}t        |||fdd       t        |j                  dd       |j                  |j                  d   k  sJ d	|z  }t        |d
d       t        d   }t        d   }||dz
  dz  ||z
  z  z   }	t        j                  |j                  |	kD        sJ t        |j                  |	d       y )N)
            r        r  u   r  weibull_min)g
ףp=
@gzGX@gQS@Mb`?rE   gp=
ף?MbP?r   r   g?r   皙?g?atol)r/   r   r   r   
fit_resultparamsr
   rQ   r
  r   r   )
rT   rb   rd   mr   r   cAs40As45As_refs
             r5   test_weibull_min_case_Az$TestAnderson.test_weibull_min_case_AM  s    HHGHnnQ.--3C)=DIu48}}s2215555E6-b!b!S:.$+>>vvc))F2333++V$?r7   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)J   9   0        r>   F      r2    ;            iF  z/Maximum likelihood estimation has converged to matchr  )r/   r   pytestr   r\   r   r   )rT   rb   messages      r5   test_weibull_min_case_Bz$TestAnderson.test_weibull_min_case_B`  sK    HH 5 6C]]:W5 	-NN1m,	- 	- 	-s   AAc                 0   t        j                  g d       }d}d}t        j                  t        |      }t        j
                  t        |      }|5  |5  t        j                  |d       d d d        d d d        y # 1 sw Y   xY w# 1 sw Y   y xY w)N)	r  K   r0     k   r>   =   +   r2  z:Critical values of the test statistic are given for the...z;An error occurred while fitting the Weibull distribution...r;  r  )	r/   r   r=  warnsUserWarningr   r\   r   r   )rT   rb   wmessageemessagewcontextecontexts         r5   test_weibull_warning_errorz'TestAnderson.test_weibull_warning_errorh  s}     XX=>>OP<<8<==8< 	-x 	-NN1m,	- 	- 	- 	- 	- 	-s$   BB /B B		BBdistname)r   r   r   extreme1r   r  logisticr  c                    t         j                  j                  d      }|dv rdn|}t        t        |      }t
        |   } |j                  |d|d}t	        j                  ||      }|j                  j                  sJ y )Nl   'Dah$>   r   rN  r     r   r   )
r/   randomdefault_rnggetattrr   r   r2   r   r&  success)rT   rM  rngreal_distnamer  r'  rb   rd   s           r5   test_anderson_fit_paramsz%TestAnderson.test_anderson_fit_paramss  sy    
 ii##$67'/3I'I& 	um,-(DHHf4c:nnQ)~~%%%%r7   c                     d}t        t        d|z        t        d          t        j                  }t        t        d|z        t        d          y )Nr   r   r   )r   r   r   r/   infrT   r(  s     r5   test_anderson_weibull_Asz%TestAnderson.test_anderson_weibull_As  s@    _QqS)>"+=>FF_QqS)>!+<=r7   N)rg   rh   ri   r   r   r  rv   rf   r  r  r-  r?  rL  r=  markparametrizerY  r]  rj   r7   r5   r   r      sh    %.) O-  @&-	- [[ZOP	&P	&>r7   r   c                   t    e Zd Zd Zd Zej                  j                  d        Zd Z	d Z
d Zd Zd Zd	 Zy
)TestAndersonKSampc                 .   g d}t        j                  g d      }t        j                  g d      }t        j                  g d      }t        j                  ||||fd      \  }}}t	        |dd       t        g d	|d
d d       t        |dd       y )NgYC@g     D@gfffffE@g     @F@g     F@g      G@gG@g      M@gC@gfffffC@gC@g33333D@gfffffD@g33333sE@gfffffE@gfffffF@      A@g     A@g     C@g      D@     E@rg        F@g     F@rf  ffffffA@rj  g33333A@gB@gfffffB@gD@gffffffE@Fmidrankg@rz   gCl?gvq-?g,Ԛ?gl@gPk	@r   r}   r|   gJ4a?Mb0?r$  r/   r   r   anderson_ksampr   r   r
   rT   t1t2t3t4Tktmps           r5   test_example1az TestAndersonKSamp.test_example1a  s    
 >XXFGXXFGXXFG(("b"b)95I	BBq)!"J"$Qq'1	.60r7   c                 T   t        j                  g d      }t        j                  g d      }t        j                  g d      }t        j                  g d      }t        j                  ||||fd      \  }}}t	        |dd       t        g d	|d
d d       t        |dd       y )Nrc  rd  re  ri  Trk  gQ@rz   rm  r   r}   r|   r   rn  r$  ro  rq  s           r5   test_example1bz TestAndersonKSamp.test_example1b  s    
 XXFGXXFGXXFGXXFG(("b"b)94H	BBq)!"J"$Qq'1	.60r7   c                 H   g d}g d}g d}g d}g d}g d}g d}g d}g d	}	g d
}
g d}g d}g d}g d}|||||||||	|
||||f}t        j                  |d      \  }}}t        |dd       t        g d|dd d       t	        |dd       t
        j                  j                  d      }t        j                  d|      }t        j                  |d|      }t        |j                  |       t        |j                  |       t	        |j                  |d       y )N   r`   )   r2  !      i  rK   :   %   r   A   r=      i     $      v   
"         r  C   r0  >   r?      r  Z   r   <      rD  1   rK      8      O   T   ,   r7  r2  r        i6  L   r:  r     r        r4  e   r  r/  r0  r1  r2  r3  r>   r4  r5  r2  r6  r7  r8  7   i@  r  h         /            r  r  i  W   r?   x   rK   r  r  r  G   r  r5  *   r  r}   r>   r     rz   rK   r  r  rK   r     r  r   r  4   _   a   3   r  r|      r     D   M   P   r   r  j      R   6   r     .   o   '   ?   r     r     r  r   r  f   H   r  r  rz   r`         r  X   r  r}   r}   r  r        r     r  rA   rK   	g  r=   r>   i  i[  rz   r  r   i  r      r}   i  #   r>   i  r  r   r?   b   r}   U   [   rE     rz   r  r     rK   r0  r      r  r7        r8  rK   r  B   rD  r  Frk  gM
@rz   g^I+?g~:?g+e?gH.!@gcZB>h@r   r}   r|   	^)p?rn  r$  l   <Ic i'  n_resamplesr   )rl  methodga2U0*C?)r   rp  r   r   r
   r/   rS  rT  PermutationMethodr   rQ   r
  r   )rT   rr  rs  rt  ru  t5t6t7t8t9t10t11t12t13t14samplesrv  rw  rx  rW  r  rd   s                         r5   test_example2az TestAndersonKSamp.test_example2a  s)   
 (G45%?@IB14'? r2r2r2r2sCc3O((%@	BBq)!"J"$Qq'1	.60ii##$78((TL""7E&I3=="-3..3

AD1r7   c                     g d}g d}g d}g d}g d}g d}g d}g d}g d	}	g d
}
g d}g d}g d}g d}t        j                  |||||||||	|
||||fd      \  }}}t        |dd       t        g d|dd d       t	        |dd       y )Nr}  r  r  r  r  r  r  r  r  r  r  r  r  r  Trk  g'1Z
@rz   r  r   r}   r|   r  rn  r$  )r   rp  r   r   r
   )rT   rr  rs  rt  ru  r  r  r  r  r  r  r  r  r  r  rv  rw  rx  s                     r5   test_example2bz TestAndersonKSamp.test_example2b  s     (G45%?@IB14'? (("b"b"b"b*,c3S#*G157	B 	Bq)!"J"$Qq'1	.60r7   c                    t        j                  ddd      }t               5 }|j                  t        d       t        j                  ||dz   gd      \  }}}d d d        t        dd	       t        d
       t               5 }|j                  t        d       t        j                  ||dz   g      \  }}}d d d        t        |dd	       t        |d
       t               5 }|j                  t        d       t        j                  ||dz   gd      \  }}}d d d        t        |dd       t        |d       t               5 }|j                  t        d       t        j                  ||dz   g      \  }}}d d d        t        |dd       t        |d       t        j                  ||dz   gd      \  }}}t        |dd       t        |ddd       t        j                  ||dz   g      \  }}}t        |dd       t        |ddd       t        j                  ||dz   gd      \  }}}t        |dd       t        |ddd       t        j                  ||dz   gd      \  }}}t        |d d       t        |d!d"d       y # 1 sw Y   7xY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   9xY w)#Nr   r   zp-value flooredr>  g     @D@Frk  g=
ףpD@rz   r!  gGzD@zp-value capped      ?g?ܵr|         ?g?ܵ      @g!u?gףp=
׳?{Gzt?r   r%  rF   r<   gBiq?g鷯?      '@g:M@g46<Rv?gMb@?g      +@g6>W[1@g1ZGUS?-C6?)
r/   linspacer   filterrG  r   rp  r   r   r
   )rT   r   supr   _rx  s         r5   test_R_kSamplesz!TestAndersonKSamp.test_R_kSamples  s   B [[C%   	KCJJ{,=J>**BT	?EJGAq!	K 	Avq)Q  	<CJJ{,=J>**BT	?;GAq!	< 	Avq)Q   	ICJJ{,<J=**BR=%HGAq!	I 	Aw*Q  	:CJJ{,<J=**BR=9GAq!	: 	Aw*Q &&BH~uE1aAvq)6A6 &&BF|41aAvq)6A6 &&BIF1aAvq)7a8&&BIF1aAvq)7a8U	K 	K	< 	<	I 	I	: 	:s/   8J6J&8J)	6J6JJ&)J36K c                 h    t        t        t        j                  t	        j
                  d             y Nr}   r[   r\   r   rp  r/   r   r]   s    r5   test_not_enough_samplesz)TestAndersonKSamp.test_not_enough_samplesA  s    j%"6"6
Cr7   c                     t        t        t        j                  t	        j
                  d      t	        j
                  d      f       y r  r  r]   s    r5   test_no_distinct_observationsz/TestAndersonKSamp.test_no_distinct_observationsD  s,    j%"6"6wwqz2771:.	0r7   c                 l    t        t        t        j                  t	        j
                  d      g f       y r  r  r]   s    r5   test_empty_samplez#TestAndersonKSamp.test_empty_sampleH  s!    j%"6"6R8HIr7   c                     g d}t        j                  g d      }t        j                  ||fd      }d}t	        ||       t        |j                  |j                         y )Nrc  rd  Frk  r	  )r/   r   r   rp  r   r   r  r   )rT   rr  rs  rd   rc   s        r5   rf   z(TestAndersonKSamp.test_result_attributesK  sO    =XXFG""B8U;K
C,S++SZZ8r7   N)rg   rh   ri   ry  r{  r=  r^  slowr  r  r  r	  r  r  rf   rj   r7   r5   ra  ra    sN    1"1  [[$2 $2L1@N9`D0J	9r7   ra  c                       e Zd Zd Zd Zd Zd Zd Zd Zd Z	e
j                  j                  dg d	g d
ddfg d	g d
ddfg dg dddfg dg dddfg dg dddfg dg dddfg      d        Zd Zy)
TestAnsaric                     g d}g d}t               5 }|j                  t        d       t        j                  ||      \  }}d d d        t        dd       t        dd       y # 1 sw Y   $xY w)Nr   r   rz   rz   r|   rz   r   r<   r   r<   r   r|   r   %Ties preclude use of exact statistic.g     7@r  g8#oG?)r   r  rG  r   ansarir   )rT   rb   yr  Wpvals         r5   
test_smallzTestAnsari.test_smallY  sg    $  	)CJJ{$KLll1a(GAt	) 	AtR(D"5r:		) 	)s   0A&&A/c                 (   t        j                  d      }t        j                  d      }t               5 }|j                  t        d       t        j                  ||      \  }}d d d        t        dd       t        dd       y # 1 sw Y   $xY w)Nr  rC  r   c   r  r  m   l   r  r  r  `   r  r  rC  q   t   r!  n   r  rC  r  r  r  i   g   r#  r%  r  r   r   r  r&  r  r   r'  r!  r  r  r  r  g     0g@r  g|:?)r/   r   r   r  rG  r   r  r   )rT   ramsayparekhr  r  r  s         r5   test_approxzTestAnsari.test_approxb  s     J K $ %   	3CJJ{$KLll662GAt	3 	Aub)D"5r:	3 	3s   0BBc                 r    t        j                  g dg d      \  }}t        |dd       t        |dd       y )Nr   r   rz   r|   )r`   r}   r  r@   r   r>   rG   r  g?r?   )r   r  r   )rT   r  r  s      r5   
test_exactzTestAnsari.test_exactp  s0    ,,|-CD4AtR(D"6:r7   c                     t        t        t        j                  g dg       t        t        t        j                  dgg        y rt   r[   r\   r   r  r]   s    r5   rv   zTestAnsari.test_bad_argu  s*    j%,,QC8j%,,R8r7   c                     g d}g d}t               5 }|j                  t        d       t        j                  ||      }d d d        d}t        |       y # 1 sw Y   xY w)Nr  r  r  rQ   r   )r   r  rG  r   r  r   )rT   rb   r  r  rd   rc   s         r5   rf   z!TestAnsari.test_result_attributesy  sY    $  	%CJJ{$KL,,q!$C	% -
C,		% 	%s   -AA c                     g d}g d}d}t        t        |      5  t        j                  ||d       d d d        y # 1 sw Y   y xY w)Nr,  r}   r<   r?   r@   z!'alternative' must be 'two-sided'r;  fooalternativer/  )rT   r   r   r<  s       r5   test_bad_alternativezTestAnsari.test_bad_alternative  s@    3:U3 	4LLRU3	4 	4 	4	   >Ac                 X   g d}g d}t        j                  ||      \  }}t        j                  ||d      j                  }t        j                  ||d      j                  }|dkD  sJ |dk  sJ t        j                  |t        |      t        |            }t        ||z   d|z   d	
       t        ||dz  d	
       t        |d|z   |dz  z
  d	
       t        j                  ||d      j                  }t        j                  ||d      j                  }	|dk  sJ |	dkD  sJ y )N)r   r}   r   r`   r  r  )r  g      !@      #@g      %@r  g      )@lessr5  greaterffffff?皙?r   -q=r$  r   )r   r  r   r   pmfr   r
   )
rT   r   r   rQ   r  pval_lpval_gprobpval_l_reversepval_g_reverses
             r5   test_alternative_exactz!TestAnsari.test_alternative_exact  s   '.  ,,r2.	4b"&9@@b")<CC}}}} ~~iR#b':T> 	QU3$tAvE: b"&AHHb")DKK$$$$$$r7   zx, y, alternative, expectedr,  r3  r<  g@A?r=  ry   )r|   r}   r<   r?   r@   gG$I?g%I$I?r{   )r<   r?   r@   c                 d    t        j                  |||      j                  }t        ||d       y )Nr5  r@  r$  )r   r  r   r
   )rT   rb   r  r6  expectedr  s         r5   test_alternative_exact_with_Rz(TestAnsari.test_alternative_exact_with_R  s(    8 ||Aqk:AAhU3r7   c                    t         j                  j                  dddd      }t         j                  j                  dddd      }t        j                  ||d      j                  }t        j                  ||d	      j                  }t        |d
d       t        |dd       t         j                  j                  dddd      }t         j                  j                  dddd      }t        j                  ||      j                  }t        j                  ||d      j                  }t        j                  ||d	      j                  }t        ||dz  d       t        |d|dz  z
  d       y )Nr   r}   r   {   rR  r   r<  r5  r=  r    r@  r$  r   r        ?r   )r   r   r2   r  r   r
   )rT   r   r   rB  rC  r  s         r5   test_alternative_approxz"TestAnsari.test_alternative_approx  s    ZZ^^Aqs^=ZZ^^Aqs^= b"&9@@b")<CC%0%0 ZZ^^Aqr^<ZZ^^As#^>||B#**b"&9@@b")<CCQU3$q&u5r7   N)rg   rh   ri   r  r*  r-  rv   rf   r7  rG  r=  r^  r_  rJ  rN  rj   r7   r5   r  r  W  s    ;;;
9-4%6 [[% fo	>
i	A
_fo	>
_i	A
9fo	>
9i	A	C44&6r7   r  c                   *    e Zd Zd Zd Zd Zd Zd Zy)TestBartlettc           
          t         t        t        t        t        t
        t        t        t        t        g
}t        j                  | \  }}t        |dd       t        |dd       y )NgzU@ /4@r?   gG?)g1g2g3g4g5g6g7g8g9g10r   bartlettr   )rT   r3   Tr  s       r5   	test_datazTestBartlett.test_data  sG    BBBBC8..$'4A0!4D/15r7   c                 D    t        t        t        j                  dg       y rt   )r[   r\   r   r\  r]   s    r5   rv   zTestBartlett.test_bad_arg  s    j%..1#6r7   c           
          t         t        t        t        t        t
        t        t        t        t        g
}t        j                  | }d}t        ||       y Nr1  )rR  rS  rT  rU  rV  rW  rX  rY  rZ  r[  r   r\  r   rT   r3   rd   rc   s       r5   rf   z#TestBartlett.test_result_attributes  s9    BBBBC8nnd#,
C,r7   c                     t         t        t        t        t        t
        t        t        t        t        g f}t        t        j                  t        j                  ft        j                  |        y r.   )rR  rS  rT  rU  rV  rW  rX  rY  rZ  r[  r   r/   r   r   r\  )rT   r3   s     r5   test_empty_argzTestBartlett.test_empty_arg  s>    BBBBC<bffbff%u~~t'<=r7   c                     t        j                  ddgddgg      }t        t        t        j
                  t        |       y Nr   r   rz   r|   )r/   r   r[   r\   r   r\  rR  r   s     r5   test_1d_inputzTestBartlett.test_1d_input  s/    HHq!fq!f%&j%.."a8r7   N)rg   rh   ri   r^  rv   rf   rd  rg  rj   r7   r5   rP  rP    s    67->
9r7   rP  c                   B    e Zd Zd Zd Zd Zd Zd Zd Zd Z	d Z
d	 Zy
)
TestLevenec           
          t         t        t        t        t        t
        t        t        t        t        g
}t        j                  | \  }}t        |dd       t        |dd       y )NgYpK?r?   gI{]?)rR  rS  rT  rU  rV  rW  rX  rY  rZ  r[  r   levener   )rT   r3   r  r  s       r5   r^  zTestLevene.test_data  sG    BBBBC8,,%4A115D/15r7   c                     t        j                  t        t        t        d      \  }}t        j                  t        t        t        dd      \  }}t        ||       t        ||       y )NrV   centertrimmedr   rn  proportiontocut)r   rk  rR  rS  rT  r   )rT   W1pval1W2pval2s        r5   test_trimmed1zTestLevene.test_trimmed1   sM     LLRF;	ELLRI146	EB#E5)r7   c                    g d}g d}t         j                  j                  d       t         j                  j                  |      }t	        j
                  ||dd      \  }}t	        j
                  ||dd      \  }}t	        j
                  |dd |dd d	
      \  }}	t        ||       t        ||       t        ||	       y )Ng333333?       @      @      @      @      @      @g      Y@r   rz        @r{  g      @r|  g      @      i@  ro        ?rp  r   r   rV   rm  )r/   rS  seedpermutationr   rk  r   )
rT   rb   r  r   W0pval0rr  rs  rt  ru  s
             r5   test_trimmed2zTestLevene.test_trimmed2	  s    66
		tYY""1% LLAi168	ELLQy168	E LL1R!Ab'&A	EB#B#E5)r7   c                 T   t        j                  ddd      }t         j                  j                  d       t         j                  j	                  |      }|dz  }t        j                  ||d      \  }}t        j                  ||d      \  }}t        ||       t        ||       y )	Nr   r   r5  r  rz   rV   rm  median)r/   r  rS  r  r  r   rk  r   )rT   rb   r   r  rr  rs  rt  ru  s           r5   test_equal_mean_medianz!TestLevene.test_equal_mean_median  s    KKAr"
		tYY""1%qDLLAf5	ELLQx8	EB#E5)r7   c                 v    t        j                  ddd      }t        t        t        j
                  ||d       y Nr   r   r5  皙?)portiontocut)r/   r  r[   	TypeErrorr   rk  r   s     r5   test_bad_keywordzTestLevene.test_bad_keyword%  s(    KKAr"iq!#Fr7   c                 v    t        j                  ddd      }t        t        t        j
                  ||d       y Nr   r   r5  trimrm  )r/   r  r[   r\   r   rk  r   s     r5   test_bad_center_valuez TestLevene.test_bad_center_value)  s(    KKAr"j%,,1VDr7   c                 D    t        t        t        j                  dg       y rt   )r[   r\   r   rk  r]   s    r5   test_too_few_argszTestLevene.test_too_few_args-  s    j%,,4r7   c           
          t         t        t        t        t        t
        t        t        t        t        g
}t        j                  | }d}t        ||       y ra  )rR  rS  rT  rU  rV  rW  rX  rY  rZ  r[  r   rk  r   rb  s       r5   rf   z!TestLevene.test_result_attributes0  s9    BBBBC8llD!,
C,r7   c                     t        j                  ddgddgg      }t        t        t        j
                  t        |       y rf  )r/   r   r[   r\   r   rk  rR  r   s     r5   rg  zTestLevene.test_1d_input7  s/    HHq!fq!f%&j%,,A6r7   N)rg   rh   ri   r^  rv  r  r  r  r  r  rf   rg  rj   r7   r5   ri  ri    s1    6**$*GE5-7r7   ri  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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g dg dg dg dg dg dg dg dg dg dg dg dg dg d g d!g d"g d#g d$g d%g d&g d'g d(g d)g      d*        Zd+ Zej                  j                  d,d-d.g      d/        Zd0 Zd1 Zd2 Zd3 Zd4 Zd5 Zd6 Zej                  j3                  ej6                  d7k  d89      d:        Zy;)<TestBinomTestzTests for stats.binomtest.c                    d}t        j                  ddd      }t        |j                  d|       t        j                  ddd      }t        |j                  d|       t        j                  d	dd      }t        |j                  d
|       t        j                  ddd      }t        |j                  dd       y )N绽|=iΙ i@o@Q?r    rE   iΙ gX7?i	ϙ g=?iϙ gybw?rI   r   	binomtestr
   r   rT   rF   rd   s      r5   test_two_sided_pvalues1z%TestBinomTest.test_two_sided_pvalues1C  s     ooh$7

Cd3ooh$7

O$?ooh$7

O$?ooh$7

O$?r7   c                    d}t        j                  ddd      }t        |j                  d|       t        j                  ddd      }t        |j                  d	|       t        j                  d
dd      }t        |j                  d|       t        j                  ddd      }t        |j                  d|       t        j                  ddd      }t        |j                  d|       t        j                  ddd      }t        |j                  d|       t        j                  ddd      }t        |j                  d|       y )Nr  r=   r5  r  r   rx  gX-h?rE   r|   g㤶y?r  g	y}?r?   g+,?rz   r   r  g      ?r   r#  g{Gz?g333333?g<,?r  r  s      r5   test_two_sided_pvalues2z%TestBinomTest.test_two_sided_pvalues2Q  s    ooa2.

O$?ooaT*

$5DAoob"d+

O$?ooaT*

O$?ooaR(

G$7ooaB'

Dt4ooaB'

F6r7   c                 <   d}t        j                  ddd      }t        |j                  d|       t        j                  ddd	      }t        |j                  d|       t        j                  d
dd      }t        |j                  d|       t        j                  ddd      }t        |j                  d|       t        j                  dd
d      }t        |j                  d|       t        j                  ddd      }t        |j                  d|       y )Nr  i  i  r  r   rE   rz   r  gAL &W?rA   r  g!YB?r`   r  gE]t?r?   r<   r  r  r  s      r5   test_edge_caseszTestBinomTest.test_edge_casesb  s    ooc3,

AD1ooaT*

AD1oob"e,

AD1oob"e,

AD1ooaS)

AD1ooaS)

AD1r7   c           	         ddd}t        j                  t        j                  z        dz         }t        j                  j                  |      }t        j                  t        j                  j                  |      |k  d      }t        fd| t        j                  z              }|z
  t        |t        j                  j                  |      k(        z   }t        ||d	       d
}t        j                  t        j                  z        dz         }t        j                  j                  |      }t        j                  t        j                  j                  |      |k  d      }t        fd|dt        j                  z              }|dz   }t        ||d	       y )Nr   r  rz   r   r   axisc                 H    t         j                  j                  |        S r.   r   binomrA  r   r   rx  s    r5   <lambda>z>TestBinomTest.test_binary_srch_for_binom_tst.<locals>.<lambda>~  s    +0;;??2q!+D*D r7   rI   rE   r?   c                 F    t         j                  j                  |       S r.   r  r  s    r5   r  z>TestBinomTest.test_binary_srch_for_binom_tst.<locals>.<lambda>  s    */++//"a*C r7   )r/   ra   ceilr   r  rA  sumr   intr
   floor)	rT   kre   dy1ixy2r   rx  s	          @@r5   test_binary_srch_for_binom_tstz,TestBinomTest.test_binary_srch_for_binom_tstq  sh    IIbgga!enac*KKOOAq!$VVEKKOOAq!,1:) +E+,"bgga!enaA Vc!u{{r1a8899BT*IIbhhq1uo)*KKOOAq!$VVEKKOOAq!,1:) +D*+QQA !VBT*r7   z"alternative, pval, ci_low, ci_high))r<  g$W?r   g?)r=  g}?gGI~?r    )	two-sidedg}G?g>?6?g4M?c                    t        j                  ddd|      }t        |j                  |d       t	        |j
                  d       |j                  d	      }t        |j                  |j                  f||fd       y )
Nr  r   r  r   rx  r6  r@  rE   皙?r>  confidence_level	r   r  r
   r   r   rQ   proportion_cilowhighrT   r6  r  ci_lowci_highrd   cis          r5   test_confidence_intervals1z(TestBinomTest.test_confidence_intervals1  sg     oobC4[I

Du5S]]C(5)FG+<5Ir7   ))r<  ga&+w?r   gny?)r=  g5!Rx?g5%?r    )r  g~th?gSuR&|?g|KnG?c                    t        j                  ddd|      }t        |j                  |d       t	        |j
                  d       |j                  d	      }t        |j                  |j                  f||fd       y )
Nrz   r   r  r  rD   rE   gQ?r)   r  r  r  s          r5   test_confidence_intervals2z(TestBinomTest.test_confidence_intervals2  sg     ooa2+F

Dt4S]]D)5)FG+<4Hr7   zalternative, pval, ci_high))r<  gլ?g̓A?)r=  r    r    )r  gEow?g;Kڞj?c                     t        j                  ddd|      }t        |j                  |d       |j	                  d      }t        |j                  d	       t        |j                  |d       y )
Nr   r   r  rx  r6  rD   rE   r>  r  r   )r   r  r
   r   r  r   r  r  )rT   r6  r  r  rd   r  s         r5   !test_confidence_interval_exact_k0z/TestBinomTest.test_confidence_interval_exact_k0  sY     ooatE

Dt45RVVS!t4r7   zalternative, pval, ci_low))r<  r    r   )r=  6>g@>}_?)r  r  gcڒ ?c                     t        j                  ddd|      }t        |j                  |d       |j	                  d      }t        |j                  d       t        |j                  |d       y )	Nr   r  r  rD   rE   r>  r  r    )r   r  r
   r   r  r   r  r  )rT   r6  r  r  rd   r  s         r5   %test_confidence_interval_exact_k_is_nz3TestBinomTest.test_confidence_interval_exact_k_is_n  sY     oob"+F

Dt45RWWc"T2r7   z+k, alternative, corr, conf, ci_low, ci_high)rz   r  Tr>  g`?g?)rz   r  Tr)   grt!?g/?)rz   r  Fr>  gVK5?g5dM?)rz   r  Fr)   gXCVu^?g*r[?)rz   r<  Tr>  r   gP-V?)rz   r<  Tr)   r   g^'?)rz   r<  Fr>  r   gS5a?)rz   r<  Fr)   r   g?)rz   r=  Tr>  g!Շ`ⰸ?r    )rz   r=  Tr)   g$x"?r    )rz   r=  Fr>  gW~=?r    )rz   r=  Fr)   g	L?r    )r   r  Tr>  r   gX?)r   r  Fr>  r   gN?)r   r<  Tr>  r   g/<7#9?)r   r<  Fr>  r   gAA?)r   r=  Tr>  r   r    )r   r=  Fr>  r   r    )r   r  Tr>  g7?r    )r   r  Fr>  g؍s?r    )r   r<  Tr>  r   r    )r   r<  Fr>  r   r    )r   r=  Tr>  ghadn?r    )r   r=  Fr>  gAB/?r    c                     t        j                  |dd|      }|rd}nd}|j                  ||      }	t        |	j                  |	j
                  f||fd       y )	Nr   r  r  wilsonccwilson)r  r  rD   rE   )r   r  r  r
   r  r  )
rT   r  r6  corrconfr  r  rd   r  r  s
             r5   test_ci_wilson_methodz#TestBinomTest.test_ci_wilson_method  sX    > ooa2+FFFVD)FG+<4Hr7   c                     t        j                  ddd      }t        |j                  d       t        |j                  d       y )Nr|   r  r  r    )r   r  r   rQ   r   rT   rd   s     r5   &test_estimate_equals_hypothesized_propz4TestBinomTest.test_estimate_equals_hypothesized_prop  s2     ooaT*S]]D)SZZ%r7   zk, n)r   r   )r   r   c                     t        j                  t        d      5  t        j                  ||       d d d        y # 1 sw Y   y xY w)Nz must be an integer not less thanr;  r=  r   r\   r   r  )rT   r  r   s      r5   test_invalid_k_nzTestBinomTest.test_invalid_k_n  s7    ]]:!CE 	"OOAq!	" 	" 	"s	   <Ac                     t        j                  t        d      5  t        j                  ddd       d d d        y # 1 sw Y   y xY w)Nz+k \(11\) must not be greater than n \(10\).r;  r  r   r  r  r]   s    r5   test_invalid_k_too_bigz$TestBinomTest.test_invalid_k_too_big  s9    ]]:!OQ 	*OOBD)	* 	* 	*s	   =Ac                     t        j                  t        d      5  t        j                  ddgdd       d d d        y # 1 sw Y   y xY w)Nzk must be an integer.r;  r   r  r5  r  )r=  r   r  r   r  r]   s    r5   test_invalid_k_wrong_typez'TestBinomTest.test_invalid_k_wrong_type  s<    ]]9!8: 	0OORHb$/	0 	0 	0	   ?Ac                 ,   d}t        j                  t        |      5  t        j                  ddd       d d d        d}t        j                  t        |      5  t        j                  ddd       d d d        y # 1 sw Y   HxY w# 1 sw Y   y xY w)	Nzp \(-0.5\) must be in range...r;  r            ࿩rx  zp \(1.5\) must be in range...rM  r  rT   r>  s     r5   test_invalid_p_rangez"TestBinomTest.test_invalid_p_range  sw    3]]:W5 	-OOBt,	-2]]:W5 	,OOBs+	, 	,	- 	-	, 	,s   A>B
>B
Bc                     t        j                  ddd      }d}t        j                  t        |      5  |j                  d       d d d        y # 1 sw Y   y xY w)	Nrz   r   r  r  z/confidence_level \(-1\) must be in the intervalr;  r   r  r   r  r=  r   r\   r  )rT   rd   r>  s      r5   test_invalid_confidence_levelz+TestBinomTest.test_invalid_confidence_level  sM    ooa2-D]]:W5 	3r2	3 	3 	3s   AAc                     t        j                  ddd      }t        j                  t        d      5  |j                  d       d d d        y # 1 sw Y   y xY w)	Nrz   r   r  r  z$method \('plate of shrimp'\) must ber;  zplate of shrimpr  r  r  s     r5   test_invalid_ci_methodz$TestBinomTest.test_invalid_ci_method  sJ    ooa2-]]:-TU 	8%67	8 	8 	8s   AAc                     t        j                  t        d      5  t        j                  dddd       d d d        y # 1 sw Y   y xY w)Nzalternative \('ekki'\) not...r;  rz   r   r  ekkir  r  r]   s    r5   test_invalid_alternativez&TestBinomTest.test_invalid_alternative  s<    ]]:-MN 	@OOAs?	@ 	@ 	@r  c                 t    t        j                  ddd      }t        |j                  |j                         y )Nrz   r   r  r  )r   r  r   proportion_estimaterQ   r  s     r5   
test_aliaszTestBinomTest.test_alias  s(    ooa2-S,,cmm<r7   l        z32-bit does not overflowreasonc                     t        j                  t        d      5  t        j                  ddt
        j                  j                         d d d        y # 1 sw Y   y xY w)NzError in function...r;  r}   r<   r  )r=  r   OverflowErrorr   r  sys
float_infominr]   s    r5   test_boost_overflow_raisesz(TestBinomTest.test_boost_overflow_raises#  sB     ]]=0FG 	8OOAqCNN$6$67	8 	8 	8s   1AAN)rg   rh   ri   __doc__r  r  r  r  r=  r^  r_  r  r  r  r  r  r  r  r  r  r  r  r  r  r  skipifr  maxsizer  rj   r7   r5   r  r  <  s   $@7"2+@ [[AHIJIJ [[AFGIGI [[9DE5	E5 [[8FG3	G3 [[5	=	;	<	=	0	0	1	1	4	4	4	5	5	6	0	0	-	.	6	7	+	,	4	43	6:I;:I& [[Vfg%67" 8"
*
0
,38
@= [[u,5OP8 Q8r7   r  c                   6    e Zd Zd Zd Zd Zd Zd Zd Zd Z	y)	TestFlignerc                 v    t        j                  d      }t        t        j                  ||dz        dd       y )Nr}   r   )gnf	@gDq?r  )r/   ra   r   r   fligner)rT   r   s     r5   r^  zTestFligner.test_data,  s.    YYq\!%--BE":"L"$	&r7   c                 8  	 t         j                  j                  d      		fd} |t              } |t              } |t
              }t        j                  |||d      \  }}t        j                  |||dd      \  }}t        ||       t        ||       y )NrL  c                     t        j                  |       dj                  t        |             z  z   j	                         S )Nr  )r/   asarrayrandnr   tolist)gr   s    r5   _perturbz+TestFligner.test_trimmed1.<locals>._perturb8  s1    JJqMEBHHSV,<$<<DDFFr7   rV   rm  ro  r   rp  )	r/   rS  r   rR  rS  rT  r   r  r   )
rT   r
  g1_g2_g3_Xsq1rs  Xsq2ru  r   s
            @r5   rv  zTestFligner.test_trimmed13  s     YY""3'	G rlrlrl mmCc&AemmCc)479eD$'E5)r7   c                     g d}g d}t        j                  ||dd      \  }}t        j                  |dd |dd d	      \  }}t        ||       t        ||       y )
Nrx  r  ro  r  rp  r   r   rV   rm  )r   r  r   )rT   rb   r  r  rs  r  ru  s          r5   r  zTestFligner.test_trimmed2F  s_    66mmAq49;e mmAaGQqWVDeD$'E5)r7   c                 v    t        j                  ddd      }t        t        t        j
                  ||d       y r  )r/   r  r[   r  r   r  r   s     r5   r  zTestFligner.test_bad_keyword`  s(    KKAr"i13Gr7   c                 v    t        j                  ddd      }t        t        t        j
                  ||d       y r  )r/   r  r[   r\   r   r  r   s     r5   r  z!TestFligner.test_bad_center_valued  s(    KKAr"j%--AfEr7   c                 D    t        t        t        j                  dg       y rt   )r[   r\   r   r  r]   s    r5   test_bad_num_argszTestFligner.test_bad_num_argsh  s    j%--!5r7   c                     t        j                  d      }t        t         j                  t         j                  ft	        j
                  ||dz  g              y )Nr}   r   )r/   ra   r   r   r   r  r   s     r5   rd  zTestFligner.test_empty_argl  s7    IIaLbffbff%u}}Q1b'ABr7   N)
rg   rh   ri   r^  rv  r  r  r  r  rd  rj   r7   r5   r  r  *  s(    &*&
*4HF6Cr7   r  c               #     K   g d} g d}t        |      D ]  \  }}t        j                  j                  |      }|j                  d      }|j	                  ddd      }|j	                  ddd      }t        ||      D ]$  \  }}	t        |dz   ||	z         D ]
  }
||   ||
<    & |j                  |       t        j                  |d	      \  }}||d
g| |     y w)N))g]YCgQɣ?)gme5gϵ5?)g;jgH?)iFeiHcMi%:r   r   r  r}   )r  r  r   r   r   r<  )		enumerater/   rS  rT  integersziprangeshufflesplit)expected_resultsseedssir  rW  xytie_indnum_ties_per_indre   r   jrb   r  s                r5   mood_cases_with_tiesr$  q  s     @ .Ee$ 2Dii##D)ZZ_,,12A,6<<AAA<>!12 	DAq1q5!a%( 11	 	BxxA1F1-b1112s   CC!c                      e Zd Zej                  j                  d e             d        Zej                  j                  dg d      d        Zd Z	d Z
d Zd	 Zd
 Zd Zej                  j                  dg d      d        Zy)TestMoodz$x,y,alternative,stat_expect,p_expectc                 r    t        j                  |||      \  }}t        ||d       t        ||d       y)am  
        Example code used to generate SAS output:
        DATA myData;
        INPUT X Y;
        CARDS;
        1 0
        1 1
        1 2
        1 3
        1 4
        2 0
        2 1
        2 4
        2 9
        2 16
        ods graphics on;
        proc npar1way mood data=myData ;
           class X;
            ods output  MoodTest=mt;
        proc contents data=mt;
        proc print data=mt;
          format     Prob1 17.16 Prob2 17.16 Statistic 17.16 Z 17.16 ;
            title "Mood Two-Sample Test";
        proc print data=myData;
            title "Data for above results";
          run;
        r5  gؗҜ<r$  Nr   moodr
   )rT   rb   r  r6  stat_expectp_expectrQ   r   s           r5   test_against_SASzTestMood.test_against_SAS  s3    < "JJq!E	6YU;&u5r7   zalternative, expected))r  )3oXQ?gpL?)r<  )r-  gԣl?)r=  )r-  gpL?c                 \    g d}g d}t        j                  |||      }t        ||       y )Nr  r$  r5  r(  )rT   r6  rI  rb   r  rd   s         r5   test_against_SAS_2zTestMood.test_against_SAS_2  s,    <=jjA;7X&r7   c                 H   t         j                  j                  d       t         j                  j                  dd      }t         j                  j                  dd      }t	        j
                  ||      \  }}t	        j
                  ||      \  }}t        ||g| |g       y )Nr  r   r   r`   )r/   rS  r  r  r   r)  r   )rT   r   r   z1p1z2p2s          r5   test_mood_order_of_argsz TestMood.test_mood_order_of_args  sx     			tYY__R#YY__R#B#BB#B!2r(bS"I6r7   c                     g d}g d}t        j                  |      }t        j                  |      }d|_        d|_        t        t	        j
                  ||d       ddg       y )N)gg۟?gy<7xg1)E?g9cç?g
FAg<=ӟ	2?g{![?g_l?gڻ{ӿgGSsA0?g1?g 3ggL?g_lg,*.gː53?gvNqG?gW=?)gd"g `Y#?g^g?gNgBagp5_%?g(?gv]lοgg?ggr6ʺ?ḡj?gK!ٿg{g&?g*h}gZ?gyBU?g .ۋ4?g|w;?g&ck @gRj2g}+w(o?g@F?g}_9t?g =g	S?gx(gg7Y?g{ih?)r   r   )r`   r   r  g4g^}E	?)r/   r   shaper   r   r)  )rT   r   r   s      r5   test_mood_with_axis_nonez!TestMood.test_mood_with_axis_none  s[    4	H XXb\XXb\!%**R$"?#1="A	Cr7   c                    d}t         j                  j                  d       t         j                  j                  d|      }t         j                  j                  d|      }t	        j
                  ||      \  }}t        |      D ]8  }t        ||   ||   gt	        j
                  |d d |f   |d d |f                : |j                         }|j                         }t	        j
                  ||d      \  }}t        |      D ]8  }t        ||   ||   gt	        j
                  ||d d f   ||d d f                : y )Nr}   r  r   r`   r   r  )	r/   rS  r  r  r   r)  r  r   	transpose)rT   nyr   r   	z_vectestpval_vectestr#  re   s           r5   test_mood_2dzTestMood.test_mood_2d  s    
		tYY__R$YY__R$"'**R"4	<r 	FA%y|\!_&E&+jjAqD2ad8&DF	F
 \\^\\^"'**R!"<	<r 	FA%y|\!_&E&+jjAqD2ad8&DF	Fr7   c           
      n   d}t         j                  j                  d       t        j                  j                  | }t        j                  j                  | }t	        d      D ]  }t        j                  |||      \  }}ddgddgddgf}t	        |||   d            D ]  }t	        |||   d            D ]v  }	|dk(  r|d d ||	f   }
|d d ||	f   }n.|dk(  r||d d |	f   }
||d d |	f   }n|||	d d f   }
|||	d d f   }t        |||	f   |||	f   gt        j                  |
|             x   y )N)r   r}   r<   r  rz   r  r   r   r   )r/   rS  r  r  r  r   r)  r   )rT   r7  r   r   r  r<  r=  axes_idxre   r#  slice1slice2s               r5   test_mood_3dzTestMood.test_mood_3d  sd   
		tYY__e$YY__e$!H 	JD&+jjRd&C#I| AAA/H5$!234 JuXd^A%678 JAqy!#Aq!G!#Aq!G!#Aq!G!#Aq!G!#Aq!G!#Aq!G-yA/;AqD/A/C.3jj.HJJJ	Jr7   c                 F    t        t        t        j                  dgg        y rt   )r[   r\   r   r)  r]   s    r5   test_mood_bad_argzTestMood.test_mood_bad_arg  s     	j%**qc26r7   c                 v   t         j                  j                  d       t        j                  j                  dd      }t        j                  j                  dd      }t        j                  ||d      \  }}t        j                  ||d      \  }}t        j                  ||d	      \  }}||cxk(  r|k(  sJ  J t        |dd
       t        ||dz         t        |d|dz  z
         t        j                  t        d      5  t        j                  ||d       d d d        y # 1 sw Y   y xY w)Nr         ?r   )r   r   g      ?r  r5  r<  r=  Hz>r$  r   r   z`alternative` must be...r;  z	ekki-ekki)r/   rS  r  r   r   r2   r)  r
   r=  r   r\   )	rT   rb   r  stat1r2  stat2r4  stat3p3s	            r5   test_mood_alternativezTestMood.test_mood_alternative  s    
		qJJNNCN0JJNNCN0JJq!=	rJJq!8	rJJq!;	r&&&&&&AD)BqD!A1H%]]:-GH 	6JJq!5	6 	6 	6s   D//D8r6  )r  r<  r=  c                     t         j                  j                  d      }|j                  d      }|j                  d      }t	        j
                  |||      }t        |j                  |j                  f|       y )Nl	   hTt fU6H~ )r   r   )r`   r   r5  )	r/   rS  rT  r   r   r)  r   rQ   r   )rT   r6  rW  r   r   rd   s         r5   test_resultzTestMood.test_result,  s`    ii##$KL  )  )jjR[9cmmSZZ0#6r7   N)rg   rh   ri   r=  r^  r_  r$  r,  r/  r5  r8  r>  rC  rE  rM  rO  rj   r7   r5   r&  r&    s    [[C135656@ [[4@A'A'7C8F.J87
6$ [[],LM7 N7r7   r&  c                   x    e Zd Zd Zd Zd Zej                  j                  e	 d      d        Z
d Zd Zd	 Zy
)TestProbplotc                 ,   t         j                  j                  dd      }t        j                  |d      \  }}g d}t	        |t        j                  |             t	        ||       t        j                  |d      \  }}g d}t	        ||       y )	Nr  90  rR  Fr   )g+/gY3gtg5Z0gFjg!2gsR{ܿg7Կg>hǿgcz隇gcz隇?g>h?g7?gsR{?g!2?gFj?g5Z0?gt?gY3?g+/?T)gƝV?g?gà?)r   r   r2   probplotr
   r/   sort)rT   rb   osmosrosm_expectedrd   res_fitres_fit_expecteds           r5   rY   zTestProbplot.test_basic8  sw    JJNNN7>>!/SG
 	RWWQZ(\*~~aT2W?!12r7   c                 ~   t         j                  j                  dd      }t        j                  |d d      \  }}t        j                  |dd      \  }}t        j                  |dd      \  }}t	        ||       t	        ||       t	        ||       t	        ||       t        j                  |dd      \  }}	y )Nr   i@ rR  Fsparamsr   r   rj   )r   r   r2   rU  r
   )
rT   rb   osm1osr1osm2osr2osm3osr3rW  rX  s
             r5   test_sparams_keywordz!TestProbplot.test_sparams_keywordG  s    JJNN&N9 ^^At?
d^^Aqe<
d^^Aru=
dd#d#d#d#>>!RU;Sr7   c                 @   t         j                  j                  dd      }t        j                  |ddd      \  }}t        j                  |dt         j                  d      \  }}t        ||       t        ||       t        t        t         j                  |d	       t        t        t         j                  |g 	        G d
 d      }t        j                  |dd      \  }}t        j                  | |       d      \  }}t        ||       t        ||       y )Nr  rS  rR  Ft)rz   )r   r  r^  zwrong-dist-namer  c                       e Zd ZdZd Zy)3TestProbplot.test_dist_keyword.<locals>.custom_distz6Some class that looks just enough like a distribution.c                 D    t         j                  j                  |d      S )Nr   )r   )r   r   ppf)rT   qs     r5   rk  z7TestProbplot.test_dist_keyword.<locals>.custom_dist.ppfa  s    zz~~aQ~//r7   N)rg   rh   ri   r  rk  rj   r7   r5   custom_distri  _  s
    H0r7   rm  )r   r]  )r  r   )	r   r   r2   rU  rg  r
   r[   r\   AttributeError)rT   rb   r_  r`  ra  rb  rm  s          r5   test_dist_keywordzTestProbplot.test_dist_keywordU  s    JJNNN7^^A5sDI
d^^A5uwwM
dd#d#j%..!:KLnennabA	0 	0
 ^^At?
d^^AKMuE
dd#d#r7   no matplotlibr  c                 V   t        j                         }|j                  d       t        j                  j                  ddd      }t        j                  |t               \  }}t        j                          t        j                  |d       \  }}t        j                  |dt               }t        j                          t        j                  |dd       }t        t        |      t        |      cxk(  xr' t        |      cxk(  xr t        |      cxk(  xr d	k(  nc        t        ||       t        ||       t        ||       t        ||       t        j                         }|j                  d      }	t        j                  |d|	       t        j                          y )
Nr  rz   r   t rR  plotF)r   rt  r   )pltfigureadd_subplotr   rg  r2   rU  closer	   r   r
   )
rT   figrb   res1fitres1res2fitres2res3res4axs
             r5   test_plot_kwargzTestProbplot.test_plot_kwargi  s   jjlGGKK'K:qs3g		qt4g~~aU5		~~aU6 	D	SYE#d)Es4yEAEFd#d#d#) jjl__S!qe"-		r7   c                 H    t        t        t        j                  dgd       y r  )r[   r\   r   rU  r]   s    r5   test_probplot_bad_argsz#TestProbplot.test_probplot_bad_args  s    j%..1#<MNr7   c                 j   t        t        j                  g d      t        j                  g       t        j                  g       f       t        t        j                  g d      t        j                  g       t        j                  g       ft        j
                  t        j
                  dff       y )NFrT  Tr   )r   r   rU  r/   r   r   r]   s    r5   
test_emptyzTestProbplot.test_empty  ss    U^^BE2hhrlBHHRL1	3U^^BD1xx|RXXb\2vvrvvs+-	.r7   c                 4   t        j                  d      5  t        t        j                  dgd      t        j
                  dg      t        j
                  dg      ft         j                  t         j                  dff       d d d        y # 1 sw Y   y xY w)Nr   )invalidr   TrT  r   )r/   r   r   r   rU  r   r   r]   s    r5   test_array_of_size_onez#TestProbplot.test_array_of_size_one  sm    [[* 	2688RD>288QC=9662663/12	2 	2 	2s   A.BBN)rg   rh   ri   rY   re  ro  r=  r^  r  have_matplotlibr  r  r  r  rj   r7   r5   rQ  rQ  6  sM    3<$( [[O+OD E0O.2r7   rQ  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ej                  j!                  dg dg dg dg      d        Zd Zej                  j!                  dg d      d        Zd Zy)TestWilcoxonc                 *   t        t        t        j                  dgddg       t        t        t        j                  ddgddgd       t        t        t        j                  ddgddgd       t        t        t        j                  dgdz  d       y )Nr   r   dummyr5  r   xyzmode)r[   r\   r   wilcoxonr]   s    r5   test_wilcoxon_bad_argz"TestWilcoxon.test_wilcoxon_bad_arg  so     	j%..1#1v>j%..1a&1a&'Jj%..1a&1a&")	+j%..1#b&uEr7   c                     t        j                  d      }t        t        t        j
                  ||dd       t        t        t        j
                  ||dd       t        t	        j
                  ||dd      d       y )Nr  wilcoxapproxr  prattzsplit)g     @Z@r    )r/   ra   r[   r\   r   r  r   r   s     r5   test_zero_diffzTestWilcoxon.test_zero_diff  s_    IIbMj%..!Q#	%j%..!Q#	% 	U^^Aq(B#	%r7   c                     g d}g d}t               5 }|j                  t        d       t        j                  ||dd      }d d d        t        d       y # 1 sw Y   xY w)	Nr,  )r   r   rz   r}   Sample size too smallr  r  r  zero_methodr  )r   g|N?)r   r  rG  r   r  r
   )rT   rb   r  r  rd   s        r5   
test_prattzTestWilcoxon.test_pratt  sa       	KCJJ{,CJD..A7JC	K 	78	K 	Ks   1AA"c                     g d}t        j                  |dd      }t        j                  |dd      }t        j                  |dd      }y )N)r   r   rz   r   r   rz   r   r   r   r   r   r  r  r  r  r  )r   r  )rT   arrr  s      r5   test_wilcoxon_arg_typez#TestWilcoxon.test_wilcoxon_arg_type  s?     1NN3G(CNN3H8DNN3H8Dr7   c                 F   g d}t        dd      }t        j                  t        ||      D cg c]  \  }}|g|z   c}}      }t        j                  |j
                        }t        j                  ||dd      \  }}t        |d       t        |d       t        j                  ||d	d      \  }}t        |d
       t        |d       t        j                  ||dd      \  }}t        |d       t        |d       t        j                  g d      }t        j                  g d      }t        j                  ||dd      \  }}t        |d       t        |dd       t        j                  ||dd      \  }}t        |d       t        |dd       y c c}}w )N)	r   r|   r  r`   r@   r|   r}   r   r   r}   r  r  r  i  g.i?r  i  gFYv]Uj?r  iG  g%^ Ez?r  r'  r  r        y   r     r!     p         w   r  r     r  r!  s   r  r     F
correctionr  r  g^҂<?rD   rE   Tg:b+?)r  r/   concatenater  zerosr   r   r  r
   r   r   )	rT   freqnumsur   rb   r  r]  rx  s	            r5   test_accuracy_wilcoxonz#TestWilcoxon.test_accuracy_wilcoxon  sV   ,R|NND$@1QC!G@AHHQVV~~aG(;1301~~aH8<1301~~aH8<13+, HHQRHHQR~~au8D1Q940~~at(C1Q9401 As   F
c                     t        j                  g d      }t        j                  g d      }t        j                  ||dd      }d}t	        ||       y )Nr  r  Fr  r  r1  )r/   r   r   r  r   )rT   rb   r  rd   rc   s        r5   test_wilcoxon_result_attributesz,TestWilcoxon.test_wilcoxon_result_attributes  sC    HHQRHHQRnnQe(C,
C,r7   c                    t         j                  j                  d      }|j                  d      |j                  d      }}t        j                  ||d      }t        j
                  j                  |j                  dz        }t        |j                  |       t        j                  ||d      }t        |d      rJ t        j                  ||      }t        |d      rJ y )Nl   	m$S r`   r  r  r   exact
zstatistic)r/   rS  rT  r   r  r   rk  r   r
   r  hasattr)rT   rW  rb   r  rd   r   s         r5   test_wilcoxon_has_zstatisticz)TestWilcoxon.test_wilcoxon_has_zstatistic  s    ii##K0zz"~szz"~1nnQ1jjnnSZZ\*,nnQ03---nnQ"3----r7   c                     t        j                  dgdz  d      \  }}d}t        |d       t        ||d       t        j                  dgdz  d	d
      \  }}d}t        |d       t        ||d       y )Nr  r   r  r  g4IťY?r   rD   rE   Tr  gc2_?)r   r  r   r
   )rT   statrx  
expected_ps       r5   test_wilcoxon_tiezTestWilcoxon.test_wilcoxon_tie  sp     ..#(;a 
T1:D1..#8La 
T1:D1r7   c                 z   g d}g d}t               5 }|j                  t        d       t        j                  ||dd      \  }}d d d        t        d       t        d	d
       t               5 }|j                  t        d       t        j                  ||ddd      \  }}d d d        t        |d       t        |dd
       t               5 }|j                  t        d       t        j                  ||dd      \  }}d d d        t        |d       t        |dd
       t               5 }|j                  t        d       t        j                  ||ddd      \  }}d d d        t        |d       t        |dd
       y # 1 sw Y   GxY w# 1 sw Y   xY w# 1 sw Y   xY w# 1 sw Y   IxY w)N)
}   r  r     r  r  r  r  r  r  )
r#  z   r  r  r  |   rL     r     r  r  r<  r  r6  r  r8  g13}?r<   rL   T)r6  r  r  g7a%?r=  g?gڏoJT?)r   r  rG  r   r  r   r   )rT   rb   r  r  r   rx  s         r5   test_onesidedzTestWilcoxon.test_onesided  s    ?>  	KCJJ{,CJD>>!QFJDAq	K 	QAy!4  	1CJJ{,CJD>>!QFt'/1DAq	1 	QAy!4  	NCJJ{,CJD>>!QIHMDAq	N 	QAy!4  	1CJJ{,CJD>>!QI$'/1DAq	1 	QAy!41	K 	K	1 	1	N 	N	1 	1s/   4F35F4F%45F1FF"%F.1F:c                     t        dd      D ]Z  }t        |      }t        |      }t        ||dz   z  dz  dz   t	        |             t        t        |      d       t        ||       \ y )Nr   r  r   )r  r   r   r   r   r  r   )rT   r   pmf1pmf2s       r5   test_exact_basiczTestWilcoxon.test_exact_basic'  sa    q" 	2A&q)D'*DAaCQD	2TA&%dD1	2r7   c                    t        j                  g d      }t        j                  g d      }t        j                  ||dd      \  }}t	        |dd       t        j                  ||d	d      \  }}t	        |d
d       t        j                  ||dd      \  }}t	        |dd       t        j
                  dd      dz   }t        j
                  ddd      }t        j                  ||dd      \  }}t	        |dd       t        j                  ||d	d      \  }}t	        |dd       t        j                  ||dd      \  }}t	        |dd       y )N)
g(\?g=
ףp=?g(\?gQ޿gQ?g{Gz?gp=
ףgq=
ףp?g      gQ?)
r   g?gɿg333333?皙gܿgzGgQοg(\gRQr  r  r  g֔  ?r<   rL   r<  gYJ?r=  g*  ?r   r  r  r   g(?g(?gS?)r/   r   r   r  r   ra   )rT   rb   r  r  rx  s        r5   test_exact_pvalzTestWilcoxon.test_exact_pval/  s'   HH # $HH $ %~~a'J1Ay!4~~aWE1Ay!4~~a	H1Az15IIas"IIb!R ~~a'J1Ay!4~~aWE1Ay!4~~a	H1Ay!4r7   rb   )r   r   rz   )r   r   r"  r  r}   )r   r   rz   r  r:  ir?   r@   c                     t        j                  |      \  }}t        j                  |      }||dkD     j	                         }t        ||       t        |d       y Nr   r   )r   r  r/   r   r  r   )rT   rb   r   rx  wtrues        r5   test_exact_p_1zTestWilcoxon.test_exact_p_1K  sJ     ~~a 1HHQK!a%QQr7   c                 r   t        j                  dd      dz   }t        j                  ddd      }t        t        j                  ||      t        j                  ||d             t        j                  dd      }t               5 }|j                  t        d	       t        j                  |      \  }}d d d        t        t        j                  |d
      f       t        j                  dd      }t        t        j                  |      t        j                  |d
             y # 1 sw Y   wxY w)Nr   r  r  r   r  r  rA   zExact p-value calculationr  r  r   r  )r/   ra   r   r   r  r   r  rG  )rT   rb   r  r  r  r   rx  s          r5   	test_autozTestWilcoxon.test_autoU  s    IIas"IIb!R U^^Aq)^^Aqw7	9 IIa  	%CJJ{,GJH>>!$DAq	% 	U^^AH51v> IIaU^^A&qx(HI	% 	%s   0D--D6r   )rz   r}   r   c                 l   t         j                  j                  d      }|j                  |      }t        j                  |t        j
                               }t        j                  |d      }t        |j                  |j                         t        |j                  |j                         |j                  |dz        }t         j                  j                  d      }t        j
                  d|      }t        j                  ||      }t         j                  j                  d      }t        j
                  d|      }t        j                  ||      }t        t        j                  |j                  d	      |j                         t        |j                  |j                         y )
Nl   aQG1X@
r   r  r  r   l   VsWFr  r  r   )
r/   rS  rT  r   r  r  r   rQ   r   round)rT   r   rW  rb   rd   r   pms          r5   test_permutation_methodz$TestWilcoxon.test_permutation_methodg  s%   ii##$56JJDJ!nnQu'>'>'@AnnQw/S]]CMM2SZZ,JJDGJ$ii##$56$$#FnnQr*ii##$56$$#FnnQr*RXXcjj!,cjj9SZZ,r7   c                 4   t         j                  j                  d      }|j                  d      }t         j                  |d<   t        j                  |      }t        j                  |d      }t        ||       t        |d      sJ t        |d      rJ y )Nl   HF )Z )r  r   r   )r}   r   r  r  r  )	r/   rS  rT  normalr   r   r  r
   r  )rT   rW  r   rd   r   s        r5   6test_method_auto_nan_propagate_ND_length_gt_50_gh20591zCTestWilcoxon.test_method_auto_nan_propagate_ND_length_gt_50_gh20591{  s     ii##O4JJGJ$&&$nnQnnQx0S!sL)))3----r7   N)rg   rh   ri   r  r  r  r  r  r  r  r  r  r  r  r=  r^  r_  r  r  r  r  rj   r7   r5   r  r    s    F	%9E1:-.2&$5L258 [[S;#5#@#B CCJ$ [[VZ0- 1-&.r7   r  c                   $    e Zd Zd Zd Zd Zd Zy)	TestKstatc                    t         j                  j                  d       t         j                  j                  d      }dD cg c]  }t	        j
                  ||       }}g d}t        ||d       t	        j                  |d      }t	        j                  |d	      }t	        j                  |d
      }t        |||f|d d dd       y c c}w )Ni}  rS  r,  )gHQ,?glZ)rI?g88}?gcJN?r   rE   r   )orderr   rz   r   g{Gz?{Gz?r  )r/   rS  r  r  r   kstatr
   moment)rT   rU   r   momentsrI  m1m2m3s           r5    test_moments_normal_distributionz*TestKstat.test_moments_normal_distribution  s    
		uyyu%1=>A5;;tQ'>>>5 \\$a(\\$a(\\$a(Rhsm$TJ ?s   Cc                 B    t        t        t        j                  g        y r.   )r[   r\   r   r  r]   s    r5   r^   zTestKstat.test_empty_input  s    j%++r2r7   c                     t        j                  d      }t         j                  |d<   t        t	        j
                  |      t         j                         y NrG   r<   r/   ra   r   r   r   r  ru   s     r5   r   zTestKstat.test_nan_input  3    yy~&&QU[[&/r7   c                 ~    t        j                  d      }dD ]#  }t        t        t        j
                  ||       % y )Nr   )r   g/$@r   )r/   ra   r[   r\   r   r  rT   rU   r   s      r5   test_kstat_bad_argzTestKstat.test_kstat_bad_arg  s0    yy} 	>A*ekk41=	>r7   N)rg   rh   ri   r  r^   r   r  rj   r7   r5   r  r    s    K30>r7   r  c                       e Zd Zd Zd Zd Zy)TestKstatVarc                 B    t        t        t        j                  g        y r.   r[   r\   r   kstatvarr]   s    r5   r^   zTestKstatVar.test_empty_input  s    j%.."5r7   c                     t        j                  d      }t         j                  |d<   t        t	        j
                  |      t         j                         y r  r  ru   s     r5   r   zTestKstatVar.test_nan_input  r  r7   c                 P    dg}d}t        t        t        j                  ||       y )Nr   r   r  r  r  s      r5   rv   zTestKstatVar.test_bad_arg  s     sj%..$!<r7   N)rg   rh   ri   r^   r   rv   rj   r7   r5   r  r    s    60=r7   r  c                   r    e Zd Zd Zd Zd Zej                  j                  e	 d      d        Z
d Zd Zy	)
TestPpccPlotc                 0    t        ddd      dz   | _        y Nr}     rr  rR  r6   rb   r]   s    r5   setup_methodzTestPpccPlot.setup_method      "13WEIr7   c                     d}t        j                  | j                  dd|      \  }}g d}t        |t	        j
                  dd|             t        ||       y )Nr}   r   N)g9%	?gxM _?g";9?g®XZ?g?num)r   	ppcc_plotrb   r
   r/   r  )rT   r  svalsppccppcc_expecteds        r5   rY   zTestPpccPlot.test_basic  sK    oodffc2;t%r{{3:;m,r7   c                 p   t        j                  | j                  ddd      \  }}t        j                  | j                  ddt         j                        \  }}t	        ||d       t	        ||d       t        j                  | j                  dd      \  }}t	        ||d       t	        ||d       y )Nr  r   tukeylambdar  g#B;rE   )r   r  rb   r  r
   )rT   svals1ppcc1svals2ppcc2svals3ppcc3s          r5   	test_distzTestPpccPlot.test_dist  s    RmLR-2->->@U3u51R8U3u51r7   rp  r  c                 N   t        j                         }|j                  d      }t        j                  | j
                  ddt                |j                  |       |j                  d      }t        j                  | j
                  dd|       t        j                          y Nr  ir  rs  )ru  rv  rw  r   r  rb   delaxesrx  rT   ry  r  s      r5   r  zTestPpccPlot.test_plot_kwarg  sm     jjl__S!Rc2B __S!Rb1		r7   c                     t        t        t        j                  | j                  dd       t        t        t        j                  g dddd       y )Nr   r   ry   r  r  )r[   r\   r   r  rb   r]   s    r5   test_invalid_inputsz TestPpccPlot.test_invalid_inputs  s5    j%//4661a@ 	j%//9a,	.r7   c                     t        j                  g dd      \  }}t        |t        j                  ddd             t        |t        j
                  dt                     y )Nr   r   r  r	  r   )r   r  r
   r/   r  r  float)rT   r  r  s      r5   r  zTestPpccPlot.test_empty  sF     oob!Q/tr{{1aR89bhhr78r7   N)rg   rh   ri   r  rY   r  r=  r^  r  r  r  r  r  rj   r7   r5   r  r    sH    J-
2 [[O+OD
 E
.9r7   r  c                   $    e Zd Zd Zd Zd Zd Zy)TestPpccMaxc                 L    dg}t        t        t        j                  |d       y r  )r[   r\   r   ppcc_maxru   s     r5   test_ppcc_max_bad_argz!TestPpccMax.test_ppcc_max_bad_arg  s    sj%..$=NOr7   c                     t         j                  j                  ddddd      dz   }t        t        j                  |      dd	
       y )Nffffffr   r  '   r        @{r?   rL   )r   r  r2   r   r#  r   s     r5   test_ppcc_max_basiczTestPpccMax.test_ppcc_max_basic  sF    !!$ASu/6 " 8:=>ENN1-/CQOr7   c                 H   t         j                  j                  ddddd      dz   }t        j                  |d	      }t        j                  |t         j                  	      }t	        |d
d       t	        |d
d       t        j                  |      }t	        |d
d       y )Nr&  r   r  r'  r(  r   r)  r  r  r*  r}   rL   )r   r  r2   r#  r   )rT   rb   max1max2max3s        r5   r  zTestPpccMax.test_dist  s    !!$ASu/6 " 8:=> ~~am4~~ae&7&78D"6BD"6B ~~a D"6Br7   c                     t         j                  j                  ddddd      dz   }t        t        t         j
                  |d	       t        t        j
                  |d
	      dd       t        t        j
                  |d	      dd       y )Nr&  r   r  r'  r(  r   r)  )r   r    r  brack)r   r   r*  r?   rL   r   r   )r   r  r2   r[   r\   r#  r   r   s     r5   
test_brackzTestPpccMax.test_brack  sx    !!$ASu/6 " 8:=>j%..!?KENN1F;0!	= 	ENN1G<0!	=r7   N)rg   rh   ri   r$  r+  r  r4  rj   r7   r5   r!  r!    s    P
P
C	=r7   r!  c                   0    e Zd Zd Zd Zd Zd Zd Zd Zy)TestBoxcox_llfc                 $   t         j                  j                  ddd      }d}t        j                  ||      }|j                   dz  t        j                  t        j                  |j                         dz              z  }t        ||       y )Nr'  r   1  r   r   r   r   ry  r   )
r   r   r2   
boxcox_llfr   r/   r0   r  rX   r
   )rT   rb   lmbdallfllf_expecteds        r5   rY   zTestBoxcox_llf.test_basic  sk    JJNN2ENBua(w|bffRVVAEEGQJ-?&@@\*r7   c                     t         j                  j                  ddd      }d}t        j                  ||      }t        j                  |t	        |            }t        ||d       y Nr   r   r8  r9  r   r@  rE   )r   r   r2   r:  listr
   rT   rb   r;  r<  llf2s        r5   test_array_likezTestBoxcox_llf.test_array_like   sS    JJNN%N@ua(tAw/T.r7   c                    t         j                  j                  ddd      }d}t        j                  ||      }t        j                  |t	        j
                  ||g      j                        }t        ||g|d       y r?  )r   r   r2   r:  r/   vstackr]  r
   rA  s        r5   test_2d_inputzTestBoxcox_llf.test_2d_input'  sh     JJNN%N@ua(ryy!Q'8':':;c
Du5r7   c                 h    t        t        j                  t        j                  dg                    y rt   )r	   r/   isnanr   r:  r]   s    r5   r  zTestBoxcox_llf.test_empty1  s     ))!R012r7   c                 P    g d}t        j                  d|      }t        |d       y )N)g     h@      m@rJ  g     x@ig#:x1r   r:  r
   rT   rU   r<  s      r5   test_gh_6873zTestBoxcox_llf.test_gh_68734  s&     ,r4(/0r7   c                 P    g d}t        j                  d|      }t        |d       y )N)i  i  i  i  i  g:0yE>gl.rK  rL  s      r5   test_instability_gh20021z'TestBoxcox_llf.test_instability_gh20021<  s$    -tT*23r7   N)	rg   rh   ri   rY   rC  rF  r  rM  rO  rj   r7   r5   r6  r6    s     +/6314r7   r6  (  iU>  iϵ i i_
 i7 i is iv  i+ i* i-q ir: i  i i i i_ i4  i iD  i i, iE i\  i i| ig  iM iӢ i[  i! i if6 iP i i iI i/ iF& i i i`# i i  i& i i iQ ia i
 iXZ iw  i_ im  iD i- iB  i:C i	 i' i  i % ix i  iz_ iQ i!# i= i  ix i
 iU7 i_ i1k iW9 i& ix iI i  iT i
 i i  irv im i͟  i iO iv i) iP i4 i= ii  iU i i ig> ix	 i` i| i0 i` iM	 i ' i[ i8 i  i3[ i  i) i`N i
	 i  i[ i:+ ip i	% i
  iV i[$ iX  i_ ib ieZ i i`?	 it i  i iE i iT iy i imv i< iZ i! i i(  ir
 i i iɪ i| i i> ii  i i* i# ix i i& i i# i1g iP i) iۆ i{% i? i۽ i| i i& i- iư) i+c i7  iQ i	o i& i|_ iy
 i6 i  i i i:J i#j i8 i  i%  i i%W i( i` i: ina  i  i i% i$ i4 iA( iq  i  i" iy iXZ i izr i i$ i; is igY i i7 ip	 ip iL6" iDH i i!3 i iI( i|C iш i im  iS i  i{8 i  i i iP i2L i( i@ is iu i2 i_ ij i)m igZ i_ iu	 i9 ik  i'; i ii iK i܃ i i= iv i= i ia  ir  i i i}W i*  i  iJ i i  i2  iUF iNj	 iV," ip iA i% i iv9 iI5 i  iT- i  i8~ i?e` i1 iV  i/X i= i4 i iح i^ i i/ ig i( i i|B; ip i ic iE' iE i$
 i i{ ik i: iI iA_ i iP ioP  i6_ i iܲ iO	 iA7 iL  iA i iV  iwm i iZh i|V iԇC iw i& i~ i i'  i!  i i
 i} ie i3 i i i_ i  i@) i  iV ii iF i? i&
 i"Y iw i  iH iS ird ib i@ iK iA; iz| id+ i	 i
8 i"  i	 iO i_ i$l i!9 ii iT iuL iQ'% iqp iC i]K@ i! i i  iIp| i i?	B i i io0 i i

 i  i5% i i i* i i iv0 i* i* iw i  ive i$ i i- iD~ i- i i,4 ib i  i iP0 i) im i	 iR iQ i
 i i c            	       (   e Zd Zd Zd Zd Zd Zd Zd Ze	j                  j                  dg d      d	        Zd
 Ze	j                  j                  dg d      d        Zd Ze	j                  j                  d ej"                  g d       ej"                  ej$                  ddg      g      d        Ze	j                  j                  d ej"                  g d       ej"                  g d       ej"                  g d      g      d        Zy)
TestBoxcoxc                 >   t        ddd      dz   }t        j                  |d      }t        ||dz
         t        j                  |d      }t        |dd|z  z
         t        j                  |d      }t        |t	        j
                  |             t        j                  t        |      d      }t        |t	        j
                  |             t        j                  t	        j                  d	      d
      }t        |t	        j                  d	             y )Nr}   r   rS  rR  r   r;  r   r   r   r   )
r6   r   r   r
   r/   r0   r@  r   r   r  )rT   rb   xts      r5   test_fixed_lmbdazTestBoxcox.test_fixed_lmbdaz  s    abu=A\\!1%AE"\\!2&A!G$\\!1%BFF1I& \\$q'+BFF1I& \\"''"+q)R"&r7   c                     d}t         j                  j                  ddd      }||z  dz   | z  }t        j                  |      \  }}t	        |d|z  d	       y )
Ng      @r   iP  i  )r   r   r   r   r   r   rL   )r   r   r2   r   r   )rT   r;  rb   x_invrT  r   s         r5   test_lmbda_NonezTestBoxcox.test_lmbda_None  sW     JJNNrDNAUQ5&)\\%(
FFBJ:r7   c                    t         j                  j                  d      }t        dd|      dz   }t	        j
                  |d      \  }}}t        |ddg       t	        j
                  |d	      \  }}}t        |d
dg       t        dd|      dz   }t	        j
                  |d      \  }}}t        |ddg       t	        j
                  |d      \  }}}t        |ddg       y )Nr  r}   r   rR  rG  )alphagx@gv[%@r?  gxˉEk?g8Bhk @r?   r  r`   r!  g\?gx̡&@r#   g7(U@gp:sY@)r/   rS  r   r6   r   r   r
   )rT   rW  rb   r  rp   s        r5   
test_alphazTestBoxcox.test_alpha  s    ii##D)abs;a? at41h#46G"HIat41h#57H"IJ ac<rAau51h9k":;au51h:z":;r7   c                 B   t        j                  ddg      }t        t        t        j
                  |       t        t        t        j
                  t        j                  dg             t        t        t        j
                  t        j                  dgdgg             y )Nr   r   r   )r/   r   r[   r\   r   r   r   s     r5   test_boxcox_bad_argzTestBoxcox.test_boxcox_bad_arg  s_    HHb!Wj%,,2j%,,!>j%,,1#s0DEr7   c                 Z    t        t        j                  g       j                  dk(         y N)r   )r	   r   r   r7  r]   s    r5   r  zTestBoxcox.test_empty  s    R &&$./r7   c                 X    t        j                  t              \  }}t        |dd       y )NgsHjdrr   rE   r   r   _boxcox_datar
   )rT   r  lams      r5   rM  zTestBoxcox.test_gh_6873  s"    l+3 	YT2r7   bounds)r   r   )r   r   )r   r  c                 z    fd}t        j                  t        d |      \  }}d   |cxk  r	d   k  sJ  J y )Nc                 4    t        j                  | d      S Nbounded)rd  r  r   minimize_scalarfunrd  s    r5   	optimizerzBTestBoxcox.test_bounded_optimizer_within_bounds.<locals>.optimizer      ++C3<> >r7   r;  rn  r   r   )r   r   rb  )rT   rd  rn  r  r;  s    `   r5   $test_bounded_optimizer_within_boundsz/TestBoxcox.test_bounded_optimizer_within_bounds  sA    	> <<DIN5ay5,6!9,,,,,r7   c                     t        j                  t        d       \  }}|dz   |dz   fddifd}t        j                  t        d |      \  }}||k7  sJ t        |d          y )	NrS  r  r   xatolr@  c                 6    t        j                  | d      S )Nri  )rd  r  optionsrj  )rm  rd  ru  s    r5   rn  zPTestBoxcox.test_bounded_optimizer_against_unbounded_optimizer.<locals>.optimizer  s!    ++C3<gO Or7   rp  r   ra  )rT   r  r;  rn  lmbda_boundedrd  ru  s        @@r5   2test_bounded_optimizer_against_unbounded_optimizerz=TestBoxcox.test_bounded_optimizer_against_unbounded_optimizer  su    
 <<D95 #+uqy)E"	O
 !<<D2;==%%%vay1r7   rn  )strr   r   r  c                     t        j                  t        d      5  t        j                  t
        d |       d d d        y # 1 sw Y   y xY w)Nz`optimizer` must be a callabler;  rp  r=  r   r\   r   r   rb  rT   rn  s     r5   $test_bad_optimizer_type_raises_errorz/TestBoxcox.test_bad_optimizer_type_raises_error  s<     ]]:-MN 	HLLTYG	H 	H 	Hs   AAc                     d }d}t        j                  t        |      5  t        j                  t
        d |       d d d        y # 1 sw Y   y xY w)Nc                      yrt   rj   )rm  s    r5   rn  zCTestBoxcox.test_bad_optimizer_value_raises_error.<locals>.optimizer  s    r7   z/return an object containing the optimal `lmbda`r;  rp  r{  )rT   rn  r>  s      r5   %test_bad_optimizer_value_raises_errorz0TestBoxcox.test_bad_optimizer_value_raises_error  sF    
	 D]]:W5 	HLLTYG	H 	H 	Hs   AAbad_x)r   ig@r  r   c                     d}t        j                  t        |      5  t        j                  |       ddd       y# 1 sw Y   yxY w)zHTest boxcox_normmax raises ValueError if x contains non-positive values.z#only positive, finite, real numbersr;  N)r=  r   r\   r   boxcox_normmax)rT   r  r>  s      r5   "test_negative_x_value_raises_errorz-TestBoxcox.test_negative_x_value_raises_error  s:    
 8]]:W5 	(  '	( 	( 	(s	   =Arb   
     L@     x@     4@     @@     d@r  g     @g     <@g     \@g     @r  r  r  r  r  gFq$jgS	#jgGewa$jgVBi$jg[(>2$jc                     t        j                  t        d      5  t        j                  |      \  }}t        j                  t        j                  |            sJ 	 d d d        y # 1 sw Y   y xY w)NThe optimal lambda isr;  )r=  rF  rG  r   r   r/   r   isfinite)rT   rb   xt_bclam_bcs       r5   test_overflowzTestBoxcox.test_overflow  sT     \\+-DE 	.!LLOME666"++e,---	. 	. 	.s   AA))A2N)rg   rh   ri   rU  rX  r[  r]  r  rM  r=  r^  r_  rq  rw  r}  r  r/   r   r   r  r  rj   r7   r5   rQ  rQ  x  s'   '$;<"F03 [[X'FG- H-2* [[[*>?H @H

H [[hbhh018288RVVRO3LM
(
( [[S : 	; 	9:MN# ..r7   rQ  c            
       ^   e Zd Zd Zd Zd Zd Zej                  j                  dg d      ej                  j                  dg d      d	               Z
d
 Zd Zej                  j                  dg dg df      d        Zd Zej                  j                  d ej                   g dej"                         ej                   g dej"                         ej                   g dej$                         ej                   g dej$                        g      ej                  j                  dg d      ej                  j                  ddg      d                      Zej                  j                  dg dg dg      ej                  j                  ddg      d               Zy)TestBoxcoxNormmaxc                 0    t        ddd      dz   | _        y Nr}   r   rS  rR  r  r]   s    r5   r  zTestBoxcoxNormmax.setup_method      "12EBQFr7   c                 ^    t        j                  | j                        }t        |dd       y )Nm?rD   rE   r   r  rb   r
   rT   r   s     r5   test_pearsonrzTestBoxcoxNormmax.test_pearsonr  s"    %%dff-t4r7   c                     t        j                  | j                  d      }t        |dd       t        j                  | j                        \  }}t        ||       y )Nmler  	.!?rD   rE   )r   r  rb   r
   r   )rT   r   r  maxlog_boxcoxs       r5   test_mlezTestBoxcoxNormmax.test_mle  sG    %%dffU;t4 !<</=v.r7   c                 f    t        j                  | j                  d      }t        |ddgd       y )Nr   r  r  r  rD   rE   r  )rT   
maxlog_alls     r5   test_allzTestBoxcoxNormmax.test_all  s)    ))$&&?

Xx$8tDr7   r  )r  pearsonrr   rd  re  c                     fd}t        j                  | j                  ||      }t        j                  d   |k        sJ t        j                  |d   k        sJ y )Nc                 4    t        j                  | d      S rh  rj  rl  s    r5   rn  zITestBoxcoxNormmax.test_bounded_optimizer_within_bounds.<locals>.optimizer  ro  r7   )r  rn  r   r   )r   r  rb   r/   r   )rT   r  rd  rn  r   s     `  r5   rq  z6TestBoxcoxNormmax.test_bounded_optimizer_within_bounds  s[    	> %%dffV09;vvfQi&()))vvfvay()))r7   c                 6   t        j                  | j                        }t        j                  |d      }t        j
                  |dz
  |dz   d       G d d      fd}t        j                  | j                  |      }||k7  sJ t        ||d       y )	Nr}   r  i  c                       e Zd Zy)?TestBoxcoxNormmax.test_user_defined_optimizer.<locals>.MyResultN)rg   rh   ri   rj   r7   r5   MyResultr  +  s    r7   r  c                     g }D ]  }|j                   | |                      }t        j                  |         |_        |S r.   )appendr/   argminrb   )rm  objsr;  rd   r  lmbda_ranges       r5   rn  z@TestBoxcoxNormmax.test_user_defined_optimizer.<locals>.optimizer.  sG    D$ (CJ'(*C		$0CEJr7   rn  r   )r   r  rb   r/   r  r  r
   )rT   r;  lmbda_roundedrn  lmbda2r  r  s        @@r5   test_user_defined_optimizerz-TestBoxcoxNormmax.test_user_defined_optimizer%  s    $$TVV,*kk-"4mD6H$O	 		 %%dff	Bt,r7   c                    t         j                  }t        j                  | j                  d |       t        j                  t        d      5  t        j                  | j                  d|       d d d        y # 1 sw Y   y xY w)N)r2  rn  z,`brack` must be None if `optimizer` is givenr;  )g       ry  )r   rk  r   r  rb   r=  r   r\   r|  s     r5   2test_user_defined_optimizer_and_brack_raises_errorzDTestBoxcoxNormmax.test_user_defined_optimizer_and_brack_raises_error;  sl    ,,	 	TVV49E
 ]]: .D E 	6   {+46	6 	6 	6s   #A::Brb   r  )gx	 ?gN~jh ?g{ ?gXkI ?g}9" ?c                 6   d}t        j                  t        |      5  t        j                  |d      }d d d        t        j                  t        j                  |            j                         sJ t        j                  t
        j                        j                  dz  }|dkD  rt        j                  |      nt        j                  |      }t        j                  ||      }t        ||t        j                  |      z         y # 1 sw Y   xY w)NzThe optimal lambda is...r;  r  r  r'  r   )r=  rF  rG  r   r  r/   r  r   r   r   finfofloat64maxr  r
   sign)rT   rb   r>  r;  ymaxx_treme	y_extremes          r5   r  zTestBoxcoxNormmax.test_overflowK  s     -\\+W5 	:((59E	:{{7>>!U3488:::xx

#''%/$qy"&&)bffQiNN7E2		4"''%.#89	: 	:s   DDc                     t        j                  t        d      5  t        j                  | j
                  d       d d d        y # 1 sw Y   y xY w)Nz `ymax` must be strictly positiver;  r   )r  )r=  r   r\   r   r  rb   r]   s    r5   test_negative_ymaxz$TestBoxcoxNormmax.test_negative_ymaxY  s:    ]]:-OP 	2  b1	2 	2 	2s   "AAr   )g	i@g     `h@gfffffh@r  gi@)gKH9KH9r  r  r  r  r  )g    _Bgꌠ9Y>)FNr  c           	         t        j                  t        d      5  |d|ini }t        j                  |fd|i|}t        j                  |      t        j                  |      g}t        t        t        j                  ||                  }|,t        j                  |j                        j                  dz  }t        ||d       d d d        y # 1 sw Y   y xY w)Nr  r;  r  r  r'  r   rE   )r=  rF  rG  r   r  r/   r  r  absr   r  r   r
   )rT   rb   r  r  kwarglmbr  ymax_ress           r5   'test_user_defined_ymax_input_float64_32z9TestBoxcoxNormmax.test_user_defined_ymax_input_float64_32]  s    & \\+-DE 	7&*&6VTNBE&&qAA5ACvvay"&&),G3u||GS9:;H|xx(,,u4D(6	7 	7 	7s   B/CCc                    t        j                  |t         j                        }t        j                  |t         j                        }t	        j
                  t        d      5  t        j                  ||       d d d        t        j                  ||       t        j                  |t         j                  |      }t        j                  |t         j                  |      }t        ||d       y # 1 sw Y   {xY w)Nr   r  r;  r  )r  r  r  rE   )r/   r  float32r  r=  rF  rG  r   r  r[  r
   )rT   rb   r  x_32x_64lmb_32lmb_64s          r5   test_user_defined_ymax_infz,TestBoxcoxNormmax.test_user_defined_ymax_infz  s     zz!2::.zz!2::. \\+-DE 	6  f5	6T&1 %%dG%%dGT2	6 	6s   &C88DN)rg   rh   ri   r  r  r  r  r=  r^  r_  rq  r  r  r  r  r/   r   r  r  r  r  rj   r7   r5   r  r    s   G5/E [[X'AB[[X'FG	* H C	*-,6  [[6JLM	:M	:2 [[S9zz	# 	Mzz	# 	4zz	# 	;zz	##  [[V%78[[Xw/
7 0 9"
7 [[S+2	#  [[Xw/3 03r7   r  c                   l    e Zd Zd Zd Zej                  j                  e d      d        Z	d Z
d Zy)	TestBoxcoxNormplotc                 0    t        ddd      dz   | _        y r   r  r]   s    r5   r  zTestBoxcoxNormplot.setup_method  r  r7   c                     d}t        j                  | j                  dd|      \  }}g d}t        |t	        j
                  dd|             t        ||       y )Nr}   r  r   r  )g!X4}?g΁i?g-	15?gW$?g\ܱ{?r	  )r   boxcox_normplotrb   r
   r/   r  )rT   r  lmbdasr  r  s        r5   rY   zTestBoxcoxNormplot.test_basic  sM    ,,TVVS"B%C ;<m,r7   rp  r  c                 N   t        j                         }|j                  d      }t        j                  | j
                  ddt                |j                  |       |j                  d      }t        j                  | j
                  dd|       t        j                          y r  )ru  rv  rw  r   r  rb   r  rx  r  s      r5   r  z"TestBoxcoxNormplot.test_plot_kwarg  sq     jjl__S!dffc2C8B __S!dffc2B7		r7   c                     t        t        t        j                  | j                  dd       t        t        t        j                  ddgdd       y )Nr   r   r   )r[   r\   r   r  rb   r]   s    r5   r  z&TestBoxcoxNormplot.test_invalid_inputs  s6    j%"7"7AFj%"7"7"a!QGr7   c                 ^    t        t        j                  g dd      j                  dk(         y r  )r	   r   r  r   r]   s    r5   r  zTestBoxcoxNormplot.test_empty  s$    %%b!Q/449:r7   N)rg   rh   ri   r  rY   r=  r^  r  r  r  r  r  rj   r7   r5   r  r    sD    J- [[O+OD
 E
H;r7   r  c                       e Zd Zd Zd Zd Zy)TestYeojohnson_llfc                     t         j                  j                  ddd      }d}t        j                  ||      }t        j                  |t	        |            }t        ||d       y )Nr   r   r8  r9  r   r@  rE   )r   r   r2   yeojohnson_llfr@  r
   rA  s        r5   rC  z"TestYeojohnson_llf.test_array_like  sS    JJNNN?""5!,##E473T.r7   c                    t         j                  j                  ddd      }d}t        j                  ||      }t        j                  |t	        j
                  ||g      j                        }t        ||g|d       y r?  )r   r   r2   r  r/   rE  r]  r
   rA  s        r5   rF  z TestYeojohnson_llf.test_2d_input  sf    JJNN%N@""5!,##E299aV+<+>+>?c
Du5r7   c                 h    t        t        j                  t        j                  dg                    y rt   )r	   r/   rH  r   r  r]   s    r5   r  zTestYeojohnson_llf.test_empty  s     --a456r7   N)rg   rh   ri   rC  rF  r  rj   r7   r5   r  r    s    /67r7   r  c                      e Zd Zd Zej
                  j                  dg d      d        Zd Zd Z	ej
                  j                  de
j                  e
j                  g      d        Zej
                  j                  de
j                  e
j                  e
j                   e
j"                  g      d	        Zd
 Zej
                  j                  d e
j(                  d ed      dg       e
j(                  d ed      dg       e
j(                  d ed       dg       e
j(                  d ed       ed       ed       dg      g      d        Zej
                  j                  d e
j(                  g d       e
j(                  g d       e
j(                  g d      g      d        Zej
                  j                  d e
j(                  g d       e
j(                  g d      g      ej
                  j                  dg d      ej
                  j                  dddg      d                      Zej
                  j                  d e
j(                  g d       e
j(                  g d       e
j(                  g d      g      ej
                  j                  dddg      ej
                  j                  dd d!g      d"                      Zy )#TestYeojohnsonc                    t         j                  j                  d      }t        dd|      dz   }t        j                  |dkD        sJ t        j                  |d      }t        ||       t        j                  |d      }t        |dd|dz   z  z
         t        j                  |d      }t        |t        j                  |dz                t        j                  |d      }t        ||       t        dd|      dz
  }t        j                  |dk        sJ t        j                  |d	      }t        |t        j                  | dz                 t        j                  |d      }t        ||       t        j                  |d
      }t        |d| dz   z  dz
         t        dd|      d	z
  }t        j                  |dk        rJ t        j                  |dk\        rJ |dk\  }t        j                  |d      }t        ||   ||          t        j                  |d      }t        ||   dd||   dz   z  z
         t        j                  |d      }t        ||   t        j                  ||   dz                t        j                  |d      }t        ||   ||          | }t        j                  |d	      }t        ||   t        j                  ||    dz                 t        j                  |d      }t        ||   ||          t        j                  |d
      }t        ||   d||    dz   z  dz
         y )NrS  r}   r   rR  r   r   rS  r   r   rz   )	r/   rS  r   r6   r   r   
yeojohnsonr
   r0   )rT   rW  rb   rT  posnegs         r5   rU  zTestYeojohnson.test_fixed_lmbda  s   ii##E* abs;a?vva!e}}aq)Aar*AQUO,aq)BFF1q5M*aq)A abs;a?vva!e}}aq)RVVQBF^O,aq)Aaq)A!aL1,- abs;a?66!a%=  66!q&>!!1faq)33(ar*3Q!C&1*%5!56aq)3#
!34aq)33(daq)3"&&!C&1"5!56aq)33(aq)3qvgk!2Q!67r7   r;  )r   r  r  r   c                    d }d}t         j                  j                  d       t         j                  j                  dd|      } |||      }t	        j
                  |      \  }}t        ||d       t        dt         j                  j                  ||z
        |z  d	
       t        d|j                         d
       t        d|j                         d
       y )Nc                 &   t        j                  | j                  | j                        }| dk\  }t	        |      t        j
                  d      k  rt        j                  | |         dz
  ||<   n(t        j                  | |   |z  dz   d|z        dz
  ||<   t	        |dz
        t        j
                  d      kD  r3dt        j                  d|z
   | |    z  dz   dd|z
  z        z
  || <   |S dt        j                  | |           z
  || <   |S )Nr   r   r    r   r   )r/   r  r7  r   r  spacingexppower)rb   r;  rW  r  s       r5   _inverse_transformz:TestYeojohnson.test_lmbda_None.<locals>._inverse_transform  s   HHQWWAGG4Eq&C 5zBJJrN*VVAcF^a/c
XXafunq&8!e)DqHc
 519~

2."((QY<!SD'+AA+E+,E	?#< <sd
 L  "&&!SD'"22sdLr7   i N  r(  r   r   )r   r   r   r  r$  r   rL   )r/   rS  r  r  r   r  r
   r   linalgr   rV   rX   )rT   r;  r  	n_samplesrb   rW  rT  r   s           r5   rX  zTestYeojohnson.test_lmbda_None  s    
	& 	
		wII!9>"1e,%%e,
FD1Aryy~~a"f5	A1MArwwy!4Arvvx3r7   c                 Z    t        t        j                  g       j                  dk(         y r_  )r	   r   r  r7  r]   s    r5   r  zTestYeojohnson.test_empty	  s       $**d23r7   c                     t         j                  j                  ddd      }t        j                  |      \  }}t        j                  t	        |            \  }}t        ||d       y )Nr   r   r8  r9  r@  rE   )r   r   r2   r  r@  r
   )rT   rb   xt1r  xt2s        r5   rC  zTestYeojohnson.test_array_like!	  sR    JJNNN?!!!$Q!!$q'*QSu-r7   r   c                     t        j                  d|      }d}t        j                  t        |      5  t        j                  |       d d d        y # 1 sw Y   y xY w)Nr<   r   z>Yeo-Johnson transformation is not defined for complex numbers.r;  )r/   ra   r=  r   r\   r   r  )rT   r   rb   err_msgs       r5   test_input_dtype_complexz'TestYeojohnson.test_input_dtype_complex'	  sJ    IIau%]]:W5 	 Q	  	  	 s   AAc                    t        j                  d|      }t        j                  dt         j                        }t        j                  |      \  }}t        j                  |      \  }}t        ||d       t        ||d       y )Nr@   r   rH  rE   )r/   ra   r  r   r  r
   )rT   r   x_intx_floatxt_int	lmbda_intxt_floatlmbda_floats           r5   test_input_dtype_integerz'TestYeojohnson.test_input_dtype_integer/	  sh    		!5)))ARZZ0!,,U3	 % 0 0 9+t4	;T:r7   c                     t        j                  g d      }t        j                  |      \  }}t        j                  |dz         \  }}t        ||d       t        ||d       y )N)(HAG."A    5fAg(@Ag   VAgHzuoAg)\¿+Ar  g(\^@Ag    RAr  g    #Ag\µ=Ag
ףNAr  gp=oHAg    6bAg{csAg)\tmhAg/BAg   '|Ag(\wipAg    ݃hAgQlBAgףp @Ar   rD   rE   )r/   r   r   r  r   r
   )rT   rb   xt_yeolam_yeoxt_boxlam_boxs         r5   test_input_high_variancez'TestYeojohnson.test_input_high_variance8	  sY    HH " #  **1-,,q1u-T2t4r7   rb   r    r   ry  r[        c                     t        j                  t        d      5  t        j                  |      \  }}d d d        y # 1 sw Y   y xY w)Nz Yeo-Johnson input must be finiter;  )r=  r   r\   r   r  )rT   rb   r  r   s       r5   test_nonfinite_inputz#TestYeojohnson.test_nonfinite_inputF	  s<     ]]:-OP 	2#..q1OFG	2 	2 	2r8  r  r  r  c                    d }t        j                  d      5  t        j                  |      \  }}t        j                  |dz   t        ||            \  }}t        j                  t        j                  |            sJ t        j                  t        j                  |            sJ t        ||d       t        ||d	       d d d        y # 1 sw Y   y xY w)
Nc                 p    t        j                  | | |d      }t        j                         }||_        |S )Ng`sbO>)xtol)r   	fminboundOptimizeResultrb   )rm  r   outresults       r5   rn  z/TestYeojohnson.test_overflow.<locals>.optimizer\	  s4    $$S7(G(KC,,.FFHMr7   raiser   r   )r   r  rD   rE   r   )	r/   r   r   r  r   r   r  rW   r
   )rT   rb   rn  r  r   r  r  s          r5   r  zTestYeojohnson.test_overflowP	  s    	 [[W% 	7#..q1OFG#llAG!DFOFG;;rvvf~...;;rvvf~...GW48FF6	7 	7 	7s   B1CCr   )r   r@  g3#I9gu?j/ gnFgZbtir  r   r   c                    t        j                  d      5  t        j                  ||z  |z        \  }}t        j                  t        j
                  ||z        t        j
                  |      k(        sJ t        j                  |      sJ t        j                  t        j                  |            sJ 	 d d d        y # 1 sw Y   y xY w)Nr  r   )r/   r   r   r  r   r  r  rW   )rT   rb   r   r  r  r   s         r5   #test_overflow_underflow_signed_dataz2TestYeojohnson.test_overflow_underflow_signed_datak	  s     [[W% 	/#..tax%/?@OFG66"''$(+rwwv>???;;w''';;rvvf~...		/ 	/ 	/s   B#CC)r   r   r   rz   )r   r   r   r"  )r   r   r   r2  Nr3  c                    t        j                  d      5  ||z  }|j                  t         j                        }t	        j
                  ||      }t	        j                  ||      }t	        j
                  ||      }t	        j                  ||      }	t        j                  t        j                  |      t        j                  |      k(        sJ t        j                  |      sJ t        j                  t        j                  |            sJ ||k(  sJ t        j                  ||	k(        sJ 	 d d d        y # 1 sw Y   y xY w)Nr  r   r1  rS  )r/   r   astyper  r   yeojohnson_normmaxr  r   r  r  rW   )
rT   rb   r  r2  r  r  lam_yeo_int
xt_yeo_intlam_yeo_floatxt_yeo_floats
             r5   test_integer_signed_dataz'TestYeojohnson.test_integer_signed_dataz	  s    [[W% 	61HEll2::.G225FK))%{CJ!44WEJM ++G=IL66"''%.BGGJ,??@@@;;{+++;;rvvj1222-///66*4555	6 	6 	6s   D#EE)rg   rh   ri   rU  r=  r^  r_  rX  r  rC  r/   	complex64
complex128r  int8uint8int16int32r  r  r   r  r  r  r  r  rj   r7   r5   r  r    s   -8^ [[Wn5"4 6"4H4. [[Wr||R]]&CD  E  [[Wrww"((BHH&MN; O;5 [[S#uU|S)*#uU|S)*#e}c*+$eeElU5\M3GH	# 22 [[S : 	; 	9:MN# 77$ [[S : 	;9:# 
 [[W&LM[[VaW-/ . N/ [[S # 
 [[VaW-[[WtWo66 7 .6r7   r  c                       e Zd Zd Zd Zd Zy)TestYeojohnsonNormmaxc                 0    t        ddd      dz   | _        y r  r  r]   s    r5   r  z"TestYeojohnsonNormmax.setup_method	  r  r7   c                 ^    t        j                  | j                        }t        |dd       y )Ng?rD   rE   )r   r  rb   r
   r  s     r5   r  zTestYeojohnsonNormmax.test_mle	  s"    ))$&&1t4r7   c                 j    g d}t        j                  |      }t        j                  |dd      sJ y )N)gffffff@g r    ry  ffffff?g333333@r  gffffff@g?g@r~  rz  g"@r  g      gzG?r!  r$  )r   r  r/   allclose)rT   rb   r;  s      r5   test_darwin_examplez)TestYeojohnsonNormmax.test_darwin_example	  s/    ((+{{5%d333r7   N)rg   rh   ri   r  r  r&  rj   r7   r5   r   r   	  s    G54r7   r   c                   
   e Zd Zej                  j                  dej                  dfej                  dfej                  dfg      d        Z
d Zej                  j                  dej                  ej                  fej                  ej                  fej                  ej                  fg      d        Zd	 Zd
 Zd Zej                  j                  dej                  dfej                  dfej                  dfg      d        Zej                  j                  dej                  ej                  ej                  g      d        Zej                  j                  dej                  ej                  ej                  g      d        Zej                  j                  dej                  ej.                  dddfej                  ej.                  dddfej                  ej.                  dddfg      d        Zej                  j                  dej                  d ej2                  g d       ej2                  ddg      dfej                  d ej2                  g d      ej4                  dz  dz  z   ej2                  dd g      dfej                  d! ej2                  g d"       ej2                  d#d$g      dfg      d%        Zej                  j                  dej                  dfej                  dfej                  dfg      d&        Zej                  j                  dej                  ej                  ej                  g      d'        Zej                  j                  dej                  ej                  ej                  g      d(        Zej                  j                  d)d*d+dd,d-d.ej.                  g ej2                  d*d+dd,d-d.ej.                  gd/d0d1d2ej.                  d3d4gg      g      ej                  j                  dej                  ej                  ej                  g      d5               Zej                  j                  d)d*d+dd,d-d.ej.                  g ej2                  d*d+dd,d-d.ej.                  gd/d0d1d2ej.                  d3d4gg      g      ej                  j                  dej                  ej                  ej                  g      d6               Z d7 Z!d8 Z"d9 Z#y:);TestCircFuncsztest_func,expectedgA:wv?g @pz?gE|2@c                 ^    t        j                  g d      }t         ||d      |d       y Nc  r}   r   r  r   ^  h  r  rH  rE   r/   r   r
   rT   	test_funcrI  rb   s       r5   test_circfuncszTestCircFuncs.test_circfuncs	  s&    
 HH./	!#.tDr7   c                    t        j                  g d      }|j                         }t        j                  |d      }t        ||d       |t         j                  z  dz  j                         }|dz  }t        j                  |d      }t        ||d       |j                         }t        j                  |d      }t        ||d       y )	N)r  r5  r  r     g     4@g3333333@r.  r/  r   rE   r  ry  r   )r/   r   rV   r   circmeanr
   pirW   circvarrX   circstd)rT   rb   M1M2V1V2S1S2s           r5   test_circfuncs_smallz"TestCircFuncs.test_circfuncs_small	  s    HH56VVX^^AC(BT*gck  "W]]13'BT*UUW]]13'BT*r7   ztest_func, numpy_funcc                     t        j                  dgdz  dgdz  z         } ||      } ||      }t        ||d       y )Ng˛ɦv9?r   guv9?r   g:0yU>r$  r0  )rT   r2  
numpy_funcrb   circstatr  s         r5   test_circfuncs_closez"TestCircFuncs.test_circfuncs_close	  sG     HH)*R/3F2G#2MMNQ<A&t4r7   c                 |   t        j                  g dg dg dg      }t        j                  |d      }t        j                  |j	                         d      }t        ||d       t        j                  |dd	      }t        |j                  d
         D cg c]  }t        j                  ||   d       }}t        ||d       t        j                  |dd
	      }t        |j                  d         D cg c]   }t        j                  |d d |f   d      " }}t        ||d       y c c}w c c}w )Nr+  _  r?   r|   `  r=   ]  ie  r=   r@   if  r|   id  r.  r/  rO   rE   r   r  r  r   )r/   r   r   r6  ravelr
   r  r7  )rT   rb   r:  r;  re   s        r5   test_circmean_axisz TestCircFuncs.test_circmean_axis	  s    HH/..0 1 ^^AC(^^AGGIC0BU+^^ACa06;AGGAJ6GHennQqT,HHBU+^^ACa09>qwwqz9JKAennQq!tW3/KKBU+ I L   !D4>%D9c                 |   t        j                  g dg dg dg      }t        j                  |d      }t        j                  |j	                         d      }t        ||d       t        j                  |dd	      }t        |j                  d
         D cg c]  }t        j                  ||   d       }}t        ||d       t        j                  |dd
	      }t        |j                  d         D cg c]   }t        j                  |d d |f   d      " }}t        ||d       y c c}w c c}w Nr+  rF  rJ  r.  r/  gdy=rE   r   rK  r   )r/   r   r   r8  rL  r
   r  r7  )rT   rb   r<  r=  re   s        r5   test_circvar_axiszTestCircFuncs.test_circvar_axis	      HH/..0 1 ]]13']]17793/BU+]]13Q/5:1771:5FGemmAaDs+GGBU+]]13Q/8=aggaj8IJ1emmAadG#.JJBU+ H KrN  c                 |   t        j                  g dg dg dg      }t        j                  |d      }t        j                  |j	                         d      }t        ||d       t        j                  |dd	      }t        |j                  d
         D cg c]  }t        j                  ||   d       }}t        ||d       t        j                  |dd
	      }t        |j                  d         D cg c]   }t        j                  |d d |f   d      " }}t        ||d       y c c}w c c}w rP  )r/   r   r   r9  rL  r
   r  r7  )rT   rb   r>  r?  re   s        r5   test_circstd_axiszTestCircFuncs.test_circstd_axis	  rR  rN  c                 8    g d}t         ||d      |d       y r*  )r
   r1  s       r5   test_circfuncs_array_likez'TestCircFuncs.test_circfuncs_array_like	  s    
 &	!#.tDr7   r2  c                 L    t        t        j                   |g                    y r.   )r	   r/   rH  )rT   r2  s     r5   r  zTestCircFuncs.test_empty
  s     	2'(r7   c                 ~    ddddddt         j                  g}t        t        j                   ||d                   y )	Nr,  r}   r   r  r   r-  r.  r/  r/   r   r	   rH  rT   r2  rb   s      r5   test_nan_propagatez TestCircFuncs.test_nan_propagate
  s4     !QRbff-13/01r7   g5:v@gfPb?r  gee?gOQOv?g#q@gauy+@c                     t        j                  g dddddddt         j                  gdt         j                  t         j                  t         j                  t         j                  t         j                  t         j                  gg      }|j                         D ]q  } ||d	|
      }|t	        t        j
                  |             /t        |d   ||   d       t	        t        j
                  |dd        j                                s y )N)r,  r}   r   r  r   r-  r   rG  r?   r|   rH  r=   rI  r   r.  rK  r   rH  rE   )r/   r   r   keysr	   rH  r
   r   rT   r2  rI  rb   r  r  s         r5   test_nan_propagate_arrayz&TestCircFuncs.test_nan_propagate_array
  s     HH2Aq#q#rvv6"&&"&&"&&"&&"&&"&&IK L MMO 	1DACd3C|&ATBQR)--/0	1r7   grQvv@)g     v@r}  rz  g     8v@r;  g     u@g5@v?g2>Bjv@gG2?)gaF+?z?r`  gA ~@碲?ra  r  r   gX҄?gJPm$@)gj  @竃 ?rb  g)h;@{ ?rc  gun2@g+fa @c                 .   t        j                  ddddddt         j                  gddd	d
ddt         j                  gt         j                  t         j                  t         j                  t         j                  t         j                  t         j                  t         j                  gg      }|j                         D ]W  } ||dd|      }|t	        |||   d       #t	        |d d ||   d       t        t        j                  |d                Y y )Nr,  r}   r   r  r   r-  rG  r?   r|   rH  r=   rI  r.  omit)r  
nan_policyr  rH  rE   r   )r/   r   r   r]  r
   r	   rH  r^  s         r5   test_nan_omit_arrayz!TestCircFuncs.test_nan_omit_array&
  s    ( HHsAq#r37Aq#q#rvv6vvrvvrvvrvvrvvrvvrvvNP Q MMO 	+DACFFC|Xd^$?CR(4.tDR)*	+r7   c                 `    ddddddt         j                  g}t         ||dd	      |d
       y )Nr,  r}   r   r  r   r-  r.  re  r  rf  rH  rE   )r/   r   r
   r1  s       r5   test_nan_omitzTestCircFuncs.test_nan_omitE
  s4    
 !QRbff-	!#&A t	-r7   c                     t         j                  t         j                  t         j                  t         j                  t         j                  g}t        t        j                   ||d                   y )Nre  rf  rY  rZ  s      r5   test_nan_omit_allzTestCircFuncs.test_nan_omit_allN
  s@     VVRVVRVVRVVRVV4189:r7   c                    t        j                  t         j                  t         j                  t         j                  t         j                  t         j                  gt         j                  t         j                  t         j                  t         j                  t         j                  gg      } ||dd      }t        t        j                  |      j                                t        t        |      dk(         y )Nre  r   )rf  r  r   )r/   r   r   r	   rH  r   r   )rT   r2  rb   r  s       r5   test_nan_omit_all_axisz$TestCircFuncs.test_nan_omit_all_axisT
  s     HHrvvrvvrvvrvvrvv>vvrvvrvvrvvrvv>@ Af15!!#$CAr7   rb   r,  r}   r  r   r-  rG  r?   r|   rH  r=   rI  c                 ,    t        t        ||dd       y )Nr.  r  ri  r[   r\   rZ  s      r5   test_nan_raisezTestCircFuncs.test_nan_raise]
  s     	j)QSWMr7   c                 ,    t        t        ||dd       y )Nr.  foobarri  rq  rZ  s      r5   test_bad_nan_policyz!TestCircFuncs.test_bad_nan_policyf
  s     	j)QSXNr7   c                 R    d}|}t        j                  |      }t        ||d       y )Nr    r   rE   )r   r6  r
   )rT   rb   r:  r;  s       r5   test_circmean_scalarz"TestCircFuncs.test_circmean_scalaro
  s&    ^^ABT*r7   c                    t        j                  t        j                  ddd      t        j                  t        j                         }t        |t        j                  k         t        |t        j                   kD         y )Nr   r   r  )r   r6  r/   ra   r7  r	   r\  s     r5   test_circmean_rangez!TestCircFuncs.test_circmean_rangeu
  sO     NN299Q3/?BEE	RUUF
r7   c                    t        j                  ddgd      }t        t        j                  |d      d       t        t        j                  |d      dd	
       t        t        j                  |d      dd	
       y )Nr  r   r  r   r  r/  g     @e@gLwqA?rH  rE   g)#p_4@)r/   r   r   r   r6  r
   r8  r9  r   s     r5   test_circfuncs_uint8z"TestCircFuncs.test_circfuncs_uint8|
  s[     HHc2Yg.U^^AC0%8ac2O$Oac2KdKr7   N)$rg   rh   ri   r=  r^  r_  r   r6  r8  r9  r3  r@  r/   rV   rW   rX   rD  rM  rQ  rT  rV  r  r[  r   r_  r   r7  rg  rj  rm  ro  rr  ru  rw  ry  r{  rj   r7   r5   r(  r(  	  sd    [[1$~~{;$}}.BC$}}k:<=E	=E+" [[4$~~rww7$}}bff5$}}bff5785	85, ,"," [[1$~~{;$}}.BC$}}k:<=E	=E [[[5>>5==+0==+: ;);) [[[5>>5==+0==+: ;2;2 [[1$~~&(ff*MO$}}&(ff#7#7 9:  %}}&(ff
KMNO
1O
1 [[1$~~&7#+288 -4 $5#+288Z,F#G IJ
  %}}&:#+288 -N $./1uuSy1n$= $,288-A-@-B $C	 DE  %}}&7#+288 -9 $: $,288Z,D#E	 GHIJ&
+'J&
+ [[1$~~{;$}}.BC$}}k:<=-	=-
 [[[5>>5==+0==+: ;;;; [[[5>>5==+0==+: ;; [[S"Aq#r3?&bhhaCS"&&(I),aCC(H(J KLM [[[5>>5==+0==+: ;N;	MN [[S"Aq#r3?&bhhaCS"&&(I),aCC(H(J KLM [[[5>>5==+0==+: ;O;	MO+Lr7   r(  c                       e Zd Zd Zd Zd Zd Zd Zd Zd Z	d Z
d	 Zd
 Zd Zej                  j!                  dddg      d        Zy)TestMedianTestc                 F    t        t        t        j                  g d       y Nry   r[   r\   r   median_testr]   s    r5   test_bad_n_samplesz!TestMedianTest.test_bad_n_samples
  s    j%"3"3Y?r7   c                 H    t        t        t        j                  g g d       y r  r  r]   s    r5   r  z TestMedianTest.test_empty_sample
  s    j%"3"3RCr7   c                 V    t        t        t        j                  g dg dddgd       y )N)r   r   r   r   )r   r   r   r   r   r   tiesr  r]   s    r5   test_empty_when_ties_ignoredz+TestMedianTest.test_empty_when_ties_ignored
  s$    
 	j%"3"3"I1vH	Fr7   c                     t        t        t        j                  g dg d       t        t        t        j                  g dg dd       y )N)r   r   r   abover  r  r]   s    r5   test_empty_contingency_rowz)TestMedianTest.test_empty_contingency_row
  s3    
 	j%"3"3Y	J 	j%"3"3Y	"	$r7   c                 P    t        t        t        j                  g dddgd       y )Nry   r|   r}   r4  r  r  r]   s    r5   test_bad_tieszTestMedianTest.test_bad_ties
  s    j%"3"3YA 	"r7   c                 P    t        t        t        j                  g dddgd       y )Nry   r|   r}   rt  rl  r  r]   s    r5   ru  z"TestMedianTest.test_bad_nan_policy
  s    j%"3"3YA!)	+r7   c                 P    t        t        t        j                  g dddgd       y )Nry   r|   r}   r4  )r4  )r[   r  r   r  r]   s    r5   r  zTestMedianTest.test_bad_keyword
  s    i!2!2I1v	!r7   c                     g d}g d}t        j                  ||      \  }}}}t        |d       t        |ddgddgg       t        |d       t        |d       y )Nry   ry  r   r   r   )r   r  r   r   )rT   rb   r  r  rx  medtbls          r5   test_simplezTestMedianTest.test_simple
  s`    !--a3ac 	S#3!Q!Q 01 	T1Qr7   c                    g d}ddg}g d}t        j                  |||      \  }}}}t        |d       t        |g dg dg       t        j                  |||d      \  }}}}t        |d       t        |g dg d	g       t        j                  |||d
      \  }}}}t        |d       t        |g dg d	g       y )Nr,  r}   r<   )r?   r@   r=   )r   r   rz   )r|   r   r   r   r  )r|   r   r   r  )r   r   rz   )r   r  r   )rT   rb   r  zr  rx  r(  r  s           r5   test_ties_optionsz TestMedianTest.test_ties_options
  s    F  ++Aq!4aCQS9i01++Aq!(CaCQS9i01++Aq!'BaCQS9i01r7   c                    ddt         j                  g}g d}t        j                  ||d      }t        j                  ||d      \  }}}}t	        |t         j                  t         j                  t         j                  d f       t        |d       t        |d       t	        |d	       t	        |t        j                  d
dgddgg             t        t        t        j                  ||d       y )Nr   r   )r|   r}   r<   	propagaterl  re  g     ?gإvao?r{  r   r  )	r/   r   r   r  r   r
   r   r[   r\   )rT   rb   r  mt1r   rx  r(  rg  s           r5   test_nan_policy_optionsz&TestMedianTest.test_nan_policy_options
  s    266N1=&&q!?
1aS266266266489././QQ1a&1a&!123j%"3"3QgNr7   c                    g d}g d}t        j                  ||      \  }}}}t        |d       t        |ddgddgg       t        j                  |      \  }}}	}
t	        ||       t	        ||       t        j                  ||d      \  }}}}t        |d       t        |ddgddgg       t        j                  |d      \  }}}	}
t	        ||       t	        ||       t        j                  ||d	      \  }}}}t        |d       t        |ddgddgg       t        j                  |d	      \  }}}	}
t	        ||       t	        ||       y )
Nr{   )r   r|   r<   r@   r|   r   r   r   )lambda_Fr  )r   r  r   chi2_contingencyr
   )rT   rb   r  r  rx  r(  r  exp_statexp_pdofes              r5   rY   zTestMedianTest.test_basic
  sN    ++Aq1aCQSAq6Aq6*+"'"8"8"=%ah'5!++Aq!<aCQSAq6Aq6*+"'"8"8a"H%ah'5!++AqUCaCQSAq6Aq6*+"'"8"8"O%ah'5!r7   r  FTc                     g d}g d}t        j                  |||      }t        |j                  |j                  |j
                  |j                  f|       y )Nry   r  )r   r  r   rQ   r   r  table)rT   r  rb   r  rd   s        r5   rO  zTestMedianTest.test_result
  sC    1<cmmSZZSYYGMr7   N)rg   rh   ri   r  r  r  r  r  ru  r  r  r  r  rY   r=  r^  r_  rO  rj   r7   r5   r}  r}  
  sh    @DF
$"+!2(O"> [[\E4=9N :Nr7   r}  c                       e Zd Zd Zej
                  j                  dej                   dz  ej                  dz  gdfddej                  z  gdfg      d        Z	d Z
d	 Zd
 Zd Zd Zy)TestDirectionalStatsc                 b   t        j                  t        j                  g d             }t        j                  t        j                  g d             }t        j                  t        j                  |      t        j                  |      z  t        j                  |      t        j
                  |      z  t        j
                  |      fd      }t        j                  |      }|j                  }t        j                  |d      }t        j                  g d      }t        ||       y )N)	g33333su@g      O@g33333sB@g      ;@g     pv@g@g333333I@gYv@rh  )	gfffffP@g,Q@gfffffQ@gfffffT@g     S@g     @R@g33333SQ@gffffffM@g33333I@r   r  r|   )gHP?g&S:g[<)r/   deg2radr   stackcossinr   directional_statsmean_directionr  r
   )rT   declinclrU   dirstatsdirectional_meanmean_roundedreference_means           r5   "test_directional_stats_correctnessz7TestDirectionalStats.test_directional_stats_correctness	  s     

288 %< = > >

288 %< = > >xxt4t4'  
 **40#22xx 0!4"<=n5r7   zangles, refr   r    r   r   c                    t        |      r ||      }t        j                  t        j                  |      t        j                  |      gd      }dt        j                  |      j                  z
  }t        ||       y )Nr   r  )	callabler/   r  r  r  r   r  mean_resultant_lengthr
   )rT   anglesr   rU   rd   s        r5   'test_directional_stats_2d_special_casesz<TestDirectionalStats.test_directional_stats_2d_special_cases  s^    
 C=f+Cxx8qA%))$/EEES!r7   c                 R   t         j                  j                  d      }dt         j                  z  |j                  d      z  }t        j                  t        j
                  |      t        j                  |      fd      }t        j                  |      }|j                  }t        j                  |d   |d         }|dt         j                  z  z  }t        j                  |      }t        ||       d|j                  z
  }t        j                  |      }	t        ||	       y )Nl	   }7Qh0P4u&4M r   )rQ  r   r  r   )r/   rS  rT  r7  r  r  r  r   r  r  arctan2r6  r
   r  r8  )
rT   rW  testdatatestdata_vectorr  r  directional_mean_angler6  directional_varcircular_vars
             r5   test_directional_stats_2dz.TestDirectionalStats.test_directional_stats_2d(  s     ii##$FGruu9szz(33((BFF8$4$&FF8$4$6()+ **?;#22!#,<Q,?,<Q,?"A!71RUU7!C>>(+"89h<<<}}X.6r7   c                    t        j                  g dg dg      }t        j                  |d      }t        j                  g dg dgg dg dgg      }t        j                  |d      }t        ||j                         y )N+Pz?r  r   )r  r  r   )r   r   r   r   )r    r   r   r   r  )r/   r   tiler   r  r
   r  )rT   rU   
full_arrayrI  r  s        r5    test_directional_mean_higher_dimz5TestDirectionalStats.test_directional_mean_higher_dim<  sy     xx-.0 1WWT<0
88l*,**,- . **:A>("9"9:r7   c                    g dg dg}t        j                  |      }t        j                  |      }t        j                  |      }t	        |j
                  |j
                         t	        |j                  |j                         y )Nr  )r  r  r   )r/   r  r   r  r
   r  r  )rT   rU   
data_arrayrd   r   s        r5   )test_directional_stats_list_ndarray_inputz>TestDirectionalStats.test_directional_stats_list_ndarray_inputI  sj    $&:;ZZ%
%%d+%%j1**C,>,>?1111	3r7   c                     t        j                  d      }d}t        j                  t        t        j                  |            5  t        j                  |       d d d        y # 1 sw Y   y xY w)N)r}   zIsamples must at least be two-dimensional. Instead samples has shape: (5,)r;  )	r/   r   r=  r   r\   reescaper   r  )rT   rU   r>  s      r5   test_directional_stats_1d_errorz4TestDirectionalStats.test_directional_stats_1d_errorS  sP    wwu~6]]:RYYw-?@ 	*##D)	* 	* 	*s   A%%A.c                 `   t        j                  g dg dg      }t        j                  |d      }|t         j                  j                  |dd      z  }t        j                  |d      }t        |j                  |j                         t        |j                  |j                         y )Nr  )g+Pz?r  r   T)	normalizer   )r  keepdimsF)	r/   r   r   r  r  r   r
   r  r  )rT   rU   rd   normalized_datar   s        r5    test_directional_stats_normalizez5TestDirectionalStats.test_directional_stats_normalize[  s     xx--/ 0%%dd;29= "0 "? ?%%o057**C,>,>?1111	3r7   N)rg   rh   ri   r  r=  r^  r_  r/   r7  r  r  r  r  r  r  rj   r7   r5   r  r    s}    6( [[]55&(BEE!G	b!
QruuWr- "	"7(;3*3r7   r  c                       e Zd Zd Zd Zej                  j                  dg ddfg ddfg      d        Zd	 Z	ej                  j                  d
g d      d        Z
d Zy)TestFDRControlc                    d}t        j                  t        |      5  t        j                  g d       d d d        t        j                  t        |      5  t        j                  g d       d d d        t        j                  t        |      5  t        j                  ddt
        j                  g       d d d        d}t        j                  t        |      5  t        j                  g dd	
       d d d        d}t        j                  t        |      5  t        j                  g dd       d d d        t        j                  t        |      5  t        j                  g dd       d d d        y # 1 sw Y   Kx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   yxY w# 1 sw Y   y xY w)Nz.`ps` must include only numbers between 0 and 1r;  )r   r  r$  )r  r$  r   r  r$  zUnrecognized `method` 'YAK')r  r$  rn   YAKr  z#`axis` must be an integer or `None`rM  r  ry  )r=  r   r\   r   false_discovery_controlr/   r   r  s     r5   test_input_validationz$TestFDRControl.test_input_validationl  s^   B]]:W5 	:)).9	:]]:W5 	9))-8	9]]:W5 	>))3RVV*<=	> 0]]:W5 	I))/%H	I 8]]:W5 	E))/D	E]]:W5 	H))/G	H 	H	: 	:	9 	9	> 	>	I 	I	E 	E	H 	HsG   E?F'F F%F1F=?F	FF"%F.1F:=Gc                 Z    g d}t        j                  |      }g d}t        ||d       y )N)r  g;On?g~jt?gI+?g&1?gB`"۹?gv?S㥛?);On?r  I+?r  gˡE?gHzG?r  r  r!  r$  )r   r  r
   )rT   psrd   r   s       r5   test_against_TileStatsz%TestFDRControl.test_against_TileStats  s(    E++B/FSt,r7   case)
go?gQ]
Y?ghD@?u?D?gn@t?g=T	[ے?g=!s?r  r  g	L?bh)
glߢ?gq?g.0?R]D?g)<Gh?g$͂?g2-p?r  r  g]:?byc                     |\  }}t         j                  j                  d      }t        j                  j                  ddd|      }|d   |d<   t        j                  ||      }t        ||d	
       y )N   <U) r!  r  r   rR  r?   rz   r  rD   r$  )r/   rS  rT  r   
loguniformr2   r  r
   )rT   r  r   r  rW  r  rd   s          r5   test_against_RzTestFDRControl.test_against_R  sl     Vii##$78!!$"3!G11++Bv>St,r7   c                    t         j                  j                  d      }t        j                  j                  ddd|      }t        j                  |d       }t        j                  |j                               }t        ||       y Nr  r!  r  )rz   r|   r}   rR  r  )	r/   rS  rT  r   r  r2   r  rL  r   )rT   rW  r  rd   r   s        r5   test_axis_NonezTestFDRControl.test_axis_None  sh    ii##$78!!$)#!N++BT:++BHHJ7S#r7   r  )r   r   r   c                    t         j                  j                  d      }t        j                  j                  ddd|      }t        j                  ||      }t        j                  t        j                  ||      }t        ||       y r  )	r/   rS  rT  r   r  r2   r  apply_along_axisr   )rT   r  rW  r  rd   r   s         r5   	test_axiszTestFDRControl.test_axis  sl    ii##$78!!$)#!N++BT:!!%"?"?rJS#r7   c                     t        t        j                  dg      dg       t        t        j                  d      d       t        t        j                  g       g        y )Nr  )r   r   r  r]   s    r5   r  zTestFDRControl.test_edge_cases  sE    588$@4&I588>E588<bAr7   N)rg   rh   ri   r  r  r=  r^  r_  r  r  r  r  rj   r7   r5   r  r  k  s    H&- [[V 89=? 89=?@A	-A	- [[VZ0 1Br7   r  )Wr~   r  	functoolsr   numpyr/   numpy.randomr   numpy.testingr   r   r   r   r	   r
   r   r   r=  r   r[   r  scipyr   r   r   scipy.stats._morestatsr   r   r   common_testsr   
_hypotestsr   r   scipy.stats._binomtestr   scipy.stats._distr_paramsr   dict
matplotlibrcParamsmatplotlib.pyplotpyplotru  r  	ExceptionrR  rS  rT  rU  rV  rW  rX  rY  rZ  r[  r6   r9   rl   r   r   ra  r  rP  ri  r  r  r$  r&  rQ  r  r  r  r  r!  r6  rb  rQ  r  r  r  r  r   r(  r}  r  r  rj   r7   r5   <module>r     s'  
  
   $. . .  * 	 * * N N - B ? .>%*J	"#O LKKKKKKKKL
4/ />? ?B{@ {@|M> M>`L9 L9^@6 @6F9 9:B7 B7Jk8 k8\DC DCN20j7 j7Z[2 [2|u. u.p> >>= ="39 39l"= "=J)4 )4\0fI. I.XJ3 J3Z ;  ;F7 7(E6 E6P4 4"aL aLHN NDa3 a3H?B ?BSZ  Os   2G G#"G#