o
    5BiZ                     @   s  d dl Z d dlZd dlmZmZmZmZmZmZm	Z	m
Z
mZmZmZmZmZmZ d dlZd dlmZmZmZmZ d dlmZ d dlmZ d dlmZ e jdg dd	d
 Z e jdddgdd Z!dd Z"dd Z#dd Z$dd Z%dd Z&dd Z'dd Z(dd Z)e jdej*e+e,fgd   d!d" Z-d#d$ Z.d%d& Z/d'd( Z0d)d* Z1d+d, Z2d-d. Z3d/d0 Z4e jd1g d2d3d4 Z5d5d6 Z6d7d8 Z7d9d: Z8d;d< Z9d=d> Z:G d?d@ d@Z;G dAdB dBZ<e jdCg dDg dEgdFdG Z=dHdI Z>G dJdK dKZ?G dLdM dMZ@dS )N    N)	betabinom
betanbinom	hypergeom
nhypergeom	bernoulli	boltzmannskellamzipfzipfianbinomnbinomnchypergeom_fishernchypergeom_walleniusrandint)assert_almost_equalassert_equalassert_allclosesuppress_warnings)r   )root_scalar)quadzk, M, n, N, expected, rtol))   
         g<<?V瞯<)k   '       g?r   )r   r   r   r   gS;绽|=c                 C   "   t | |||}t|||d d S Nrtol)r   cdfr   kMnNexpectedr#   p r,   f/var/www/html/Trade-python/venv/lib/python3.10/site-packages/scipy/stats/tests/test_discrete_distns.pytest_hypergeom_cdf   s   r.   )   r   r   r   g?r   )}   r   r   r   g!:<r   c                 C   r    r!   )r   sfr   r%   r,   r,   r-   test_hypergeom_sf"   s   r2   c            
      C   s   d} d}d}d}t | |||}t ||  ||| |}t ||  |||| }t | |||}t||dd t||dd t||dd d} d}d}d}t | |||}t| || }	t||	dd d S )Nr   2   r      )decimal      )r   logpmfr   r   )
r&   r)   Kr(   logpmf1logpmf2logpmf3logpmf4hypergeom_logpmfbernoulli_logpmfr,   r,   r-   test_hypergeom_logpmf,   s$   r@   c                  C   sh   d\} }}d}t || ||}t|| ||| d | | |d   | || d   }t||dd d S )N)-            r6   绽|=r"   )r   pmfr   r   )r'   r(   rr&   NHGHGr,   r,   r-   test_nhypergeom_pmfF   s
   
8rJ   c                  C   sb   d} d}d}t |d }t|| ||}t|| ||}t|g ddd t|g ddd d S )	NrC   r   r   r6   )$I$I?g۶m۶m?m۶m?rL   vIh%<=r"   )rK   $I$I?g%I$I?      ?)nparanger   rF   r$   r   )r'   r(   rG   supportrF   r$   r,   r,   r-   test_nhypergeom_pmfcdfO   s   rS   c                  C   sF   d} d}d}t g dg dg| ||}t|g dg dgdd	 d S )
Nr   r   r   )r   r6      r   )r6   rT   r   r   )r6   r   r   r6   )r   r   r6   r   rM   r"   )r   rF   r   )r'   r(   rG   rF   r,   r,   r-   test_nhypergeom_r0[   s
   rU   c                  C   s0   t jdg ddgdggdd} | jdksJ d S )N   )r7   rC   	   r4   rB   r   r6   rT   r   size)r   rvsshape)xr,   r,   r-   test_nhypergeom_rvs_shaped   s   r^   c                  C   sV   t jd tjddddd} t jd t jjdd}t|ddd}t| | d S )Nr   rV   r7      d   rY   )rP   randomseedr   r[   uniformppfr   )r]   r+   yr,   r,   r-   test_nhypergeom_accuracyl   s   rf   c                  C   s   t dd} d}t| d|}| dk}t|| t d}d}t| ||}g d}t||d	d
 t| ||}g d}t||d	d
 d S )Nr   r6   grh|?r   rT   r   )r   r   r   $I$I?rN   g$I$I?r   r   rM   r"   )r   r   r   rh   g۶m۶m?r6   r6   r6   )rP   rQ   r   rF   r   logr   r$   )r&   r)   r+   r*   lamcr,   r,   r-   test_boltzmann_upper_boundw   s   

rl   c                  C   sJ   d} t | d }t| dd|}t d| d  | d }t|| d S )N   r6   )rP   rQ   r   rF   repeatr   )r(   r&   r+   r*   r,   r,   r-   test_betabinom_a_and_b_unity   s
   ro   dtypesr   c                 C   sB   | \}}}|d|d|d}}}t tj|||ddd d S )Nr   rT   r   r&   momentsgaa)r   r   stats)rp   n_typea_typeb_typer(   abr,   r,   r-   -test_betabinom_stats_a_and_b_integers_gh18026   s   
ry   c                  C   sH   d} d}t d}td| ||}t| | |  |}t|| d S )Ngffffff@g)\(?rT   r6   )rP   rQ   r   rF   r   r   )rw   rx   r&   r+   r*   r,   r,   r-   test_betabinom_bernoulli   s   
rz   c                  C   $   d\} }}t tj| ||dd d S )N)g?r   r6   
confidencer(   r+   r   r   )r   r   intervalalphar(   r+   r,   r,   r-   test_issue_10317      
r   c                  C   r{   )N)gffffff?r   r   r|   r~   )r   r   r   r   r,   r,   r-   test_issue_11134   r   r   c                   C   sT   t jd ttt jdddd ttdddd ttdddd d S )Nr   r         ?r6   )rP   ra   rb   r   r   rd   randr,   r,   r,   r-   test_issue_7406   s   r   c                  C   sv   d} t jjddd}d}t||| }t|d t ddd}t||| }t|d d}t||| }t|| d S )	Nr   r`   r   rY   r   {Gz?gGz?r6   )rP   ra   r   r   rd   r   linspace)r+   r(   r]   rd   r,   r,   r-   test_issue_5122   s   

r   c                   C   s"   t tdtdddd d S )N  rg   ir   r   )r   r   rP   logspacerd   r,   r,   r,   r-   test_issue_1603      "r   c                  C   s2   d} t ddd}tt|d| | ddd d S )Nr   r      r4   rT   r   )atol)rP   r   r   r   r$   )r+   r]   r,   r,   r-   test_issue_5503   s    r   zx, n, p, cdf_desired)	)i,  r   333333?g24?)r   r   r   gU7i(?)i0u  i r   gέ̑?)i i@B r   g8@
?)i- 逖 r   gf(G?)i r   gwtg ?)ir   r   gV}ֈ?)ipr   r   gz̍?)i0 r   r   gnC:c                 C   s   t t| ||| d S Nr   r   r$   )r]   r(   r+   cdf_desiredr,   r,   r-   test_issue_5503pt2   s   r   c                   C      t tdddd d S )NrT   l    J)g-q=gB.+n?r   r,   r,   r,   r-   test_issue_5503pt3   s   r   c                   C   r   )N   r3   gAA?g_[Cˮi8)r   r   r1   r,   r,   r,   r-   test_issue_6682   s   r   c                  C   s.   t g ddd} dtj dg}t| | d S )N)r   r   r6   r   r   gG޿g1D&+)r   logcdfrP   infr   )result	referencer,   r,   r-   test_issue_19747   s   r   c                  C   s$   d} d}d}t t|| |d d S )Nr   r   i          )r   r   rF   )r(   r+   r&   r,   r,   r-   %test_boost_divide_by_zero_issue_15101   s   r   c                  C   s,   g d} t d| | }g d}t|| d S )N)	r6   r   r`   r     i  i  i  ip  r   )	g>l?gzo?gVrRs?g$?gVWCW?g4yB?g4.?g.Lr?gD?)r   r$   r   )mur$   cdf_expectedr,   r,   r-   test_skellam_gh11474   s   r   c                   @   st   e Zd Zdd Zdd Zdd Zejd e	e
dd	d
ejddd
fjZejdedd Zdd ZdS )TestZipfianc                 C   s   d}d}t dd}tt|||t|| tt|||t|| tt|||t|| ttj||ddtj|dd d S )Ng      @r   r6      msvkrq   )	rP   rQ   r   r
   rF   r	   r$   r1   rs   )selfrw   r)   r&   r,   r,   r-   test_zipfian_asymptotic  s   z#TestZipfian.test_zipfian_asymptoticc                 C   s   d\}}d}t d|d }tt|||t|||dd tt|||t|||dd tt|||t|||dd ttj||ddtj||dddd d S )N)gG?g1  ?   r6   gƠ>r"   r   rq   )rP   rQ   r   r
   rF   r$   r1   rs   )r   alt1agt1r)   r&   r,   r,   r-   test_zipfian_continuity  s   
z#TestZipfian.test_zipfian_continuityc                 C   s   t jd t jjdddd}t jdd d }t jjdddd}g d}g d}tt|||dd  |dd  d	d
 tt|||dd  |dd  dd
 d S )Nr   r6   rm   r   rY   r`   )
gĹԨ?gءk>	]x[?g>g	W4?g
-?g$fhn=g9[.>g`֔>gnm?)
gaj?gZk=?r   g?g90?gɸU?rO   gJ_9?g2h2-?gB0?ư>r"   g-C6
?)	rP   ra   rb   r   r   r   r
   rF   r$   )r   r&   rw   r(   rF   r$   r,   r,   r-   test_zipfian_R(  s   (,zTestZipfian.test_zipfian_Rr   r6   r   rT   (   za, nc                    s   t jdd  t j fdd}t |d }||||}t |}t j||d}t j|| d |d}|d }	t j|| |	 d	 |d}
t j|| |	 d
 |dd	 }tt|||| tt|||| ttj	||dd|||
|g d S )Nc                 S   s   dt d| d |   S )z$Naive implementation of harmonic sumr6   )rP   rQ   sum)r(   sr,   r,   r-   HnsH  s   z+TestZipfian.test_zipfian_naive.<locals>.Hnsc                    s*   | dk s| |kr
dS d| |   || S )z#Naive implementation of zipfian pmfr6   r   r,   )r&   rw   r(   r   r,   r-   pzipM  s   z,TestZipfian.test_zipfian_naive.<locals>.pzipr6   )weightsrT   r   r   r   mvskrq   )
rP   	vectorizerQ   cumsumaverager   r
   rF   r$   rs   )r   rw   r(   r   r&   rF   r$   meanvarstdskewkurtosisr,   r   r-   test_zipfian_naiveD  s"   


zTestZipfian.test_zipfian_naivec                 C   sD   t dd}|t j}tdd}||}||}t|| d S )Nr   r   o   rV   )rP   rQ   astypeint32r
   rF   r   r   r&   k_int32distrF   pmf_k_int32r,   r,   r-   test_pmf_integer_kb  s   


zTestZipfian.test_pmf_integer_kN)__name__
__module____qualname__r   r   r   rP   ra   rb   vstackr   r   Tnaive_testspytestmarkparametrizer   r   r,   r,   r,   r-   r     s    
r   c                   @   s   e Zd Zejd dZdZejjdeedZ	ejjdeedZ
e	e
 ZejdeejdZedee
 Zeee	ZejeeejdZejjej d Zejddd	gd
d Zdd Zdd Zdd Zejddd	gdd ZdS )TestNCHrT   rT   r   r   r`   r6   rY   r   	dist_namer   r   c                 C   sX   t td}|| }| j| j| j| jf\}}}}t|j||||ddt|||| d S )Nr   r   r6   )odds)	r   r   r]   r)   m1r(   r   rF   r   )r   r   distsr   r]   r)   r   r(   r,   r,   r-   test_nch_hypergeomy  s   zTestNCH.test_nch_hypergeomc           
      C   s   | j | j| j| j| jf\}}}}}tjdd }||||||\}}}	tt	|||||| ttj
||||dd| ttj
||||dd|	 d S )Nc                    s   | t d t fdd  fdd}|d}|d}|d} | | }	|| }
|| || d  }|	|
|fS )Nr   c                    s(   t  | }t |  }|| |   S r   )special_binom)r]   t1t2r   m2r(   wr,   r-   f  s   
zFTestNCH.test_nchypergeom_fisher_naive.<locals>.pmf_mean_var.<locals>.fc                    s"   t  fddtd D S )Nc                 3   s     | ]} ||  V  qd S r   r,   ).0re   )r   r&   r,   r-   	<genexpr>  s    zYTestNCH.test_nchypergeom_fisher_naive.<locals>.pmf_mean_var.<locals>.P.<locals>.<genexpr>r6   )r   ranger&   )r   xlxur   r-   P  r   zFTestNCH.test_nchypergeom_fisher_naive.<locals>.pmf_mean_var.<locals>.Pr6   rT   rP   maximumminimum)r]   r)   r   r(   r   r   P0P1P2rF   r   r   r,   )r   r   r   r(   r   r   r   r-   pmf_mean_var  s   
z;TestNCH.test_nchypergeom_fisher_naive.<locals>.pmf_mean_varmrq   v)r]   r)   r   r(   r   rP   r   r   r   rF   rs   )
r   r]   r)   r   r(   r   r   rF   r   r   r,   r,   r-   test_nchypergeom_fisher_naive  s   "
z%TestNCH.test_nchypergeom_fisher_naivec              	      s  t jd d}d}t jjd||d}t jjd||d}|| }tjd||jd}t d|| }t ||}tj|||jd}	t jj|	j d }
dd t j	fd	d
 t
 !}|jtdd tt||||
 ||||
dd W d    n1 s}w   Y  t j	 fdd}t
 #}|jtdd ttj||||
dd|||||
dd W d    n1 sw   Y  t j	fdd}||	||||
}t|	||||
}d\}}t || ||t |  k }| t |d ksJ t||  ||  ||  |
|  D ]9\}}}}
|| }||||
\}}t ||d }	||	||||
 dk s1J tt|	||||
 d qd S )NrT   r   r`   r6   rY   r   c                 S   s,   | | }t d|| }t ||}||fS )Nr   r   )r)   r   r(   r   r   r   r   r,   r,   r-   rR     s   z9TestNCH.test_nchypergeom_wallenius_naive.<locals>.supportc                    s>   |   |  \}} fdd}t |||fdjS )Nc                    s    |   d|      d S Nr6   r,   )ur   r,   r-   fun  s    zCTestNCH.test_nchypergeom_wallenius_naive.<locals>.mean.<locals>.fun)bracket)r   root)r)   r   r(   r   r   r   r   rR   r   r-   r     s   z6TestNCH.test_nchypergeom_wallenius_naive.<locals>.meanz!invalid value encountered in mean)messageg{Gz?r"   c                    sZ   | | } | |||}|||  }|| || |  }| | | | d || ||    S r   r,   )r)   r   r(   r   r   r   rw   rx   )r   r,   r-   variance  s
   $z:TestNCH.test_nchypergeom_wallenius_naive.<locals>.variancer   rq   g?c                    sH   | |\}}fdd  fdd}|S )Nc                    sH         }d| |    d| d|      }|S r   r,   )tDres)r   r   r(   r   r]   r,   r-   	integrand  s   ,zHTestNCH.test_nchypergeom_wallenius_naive.<locals>.pmf.<locals>.integrandc                    s:   t | }t |  }t ddddd}|| |d  S )Nr   r6   gؗҜ<)epsrelepsabs)r   r   )r]   r   r   the_integral)r  r   r   r(   r,   r-   r     s   
z@TestNCH.test_nchypergeom_wallenius_naive.<locals>.pmf.<locals>.fr,   )r]   r)   r   r(   r   r   r   r   r   )r  r   r   r(   r   r]   r-   rF     s
   z5TestNCH.test_nchypergeom_wallenius_naive.<locals>.pmf)r   r   r   )rP   ra   rb   r   r[   r\   r   r   r   r   r   filterRuntimeWarningr   r   r   rs   rF   absr   prodziprQ   )r   r\   max_mr   r   r)   r(   r   r   r]   r   supr   rF   pmf0pmf1r   r#   ir,   )r   rR   r-    test_nchypergeom_wallenius_naive  s`   		 2 z(TestNCH.test_nchypergeom_wallenius_naivec           	      C   s   d}d}d}d}t d}t g d}d}d}tt||||||d	d	d
 tt|||||d	d tt|||||dd d S )Nr3   r   rm   g      @r   )g9T;gr<gD,P=g4 V=g'	,=gCG>gyztj>gt>g+k?g MeGD?gqNZVɒo?gc2n?g~ZN?gE}?Y?g?g·aQ?g]??gr)?gp{?g39	y?g m>?gJ򕴝-@gih@rM   )r#   r   r"   gdy=)rP   rQ   arrayr   r   rF   r   r   )	r   r'   r(   r)   r   r  rF   r   r   r,   r,   r-   test_wallenius_against_mpmath  s"   

z%TestNCH.test_wallenius_against_mpmathc                 C   sD   t td}|| }|jdddgdggg ddd}|jdks J d S )	Nr   r3   r   r   rm   )r   rO   g       @rX   rY   )r   r   r[   r\   )r   r   r   r   r]   r,   r,   r-   test_rvs_shape-  s    zTestNCH.test_rvs_shapeN)r   r   r   rP   ra   rb   r\   r  r   r   r   r)   r[   r(   r   r   r   r   r]   r   r   r   r   r   r   r   r  r  r  r,   r,   r,   r-   r   k  s.    

"\*r   zmu, q, expected)r   x   g@	#)i  r   g"qVUc                 C   s.   d}||||   }}t t|||| d S )Nrm   )r   r   r   )r   qr*   rZ   r(   r+   r,   r,   r-   test_nbinom_11465:  s   r  c                  C   s`   t ddd} d}t|| }| d dk}t|d | t|d d|  t||  d d S )Nr   r6   r_   g?r   )rP   r   r   rF   r   r   )r]   r+   rF   r  r,   r,   r-   test_gh_17146G  s   r  c                   @   s\   e Zd Zejdg dg dg dgdd Zejdg dg d	g d
gdd ZdS )TestBetaNBinomzx, n, a, b, ref)r   g    SAr   rm   g:[Y))r`   r3   r   rm   g dg?)r   r   r   rm   gL&[>c                 C   s   t t|||||dd d S )NrE   r"   )r   r   rF   )r   r]   r(   rw   rx   refr,   r,   r-   test_betanbinom_pmfT  s   z"TestBetaNBinom.test_betanbinom_pmfzn, a, b, ref)r   r   r3   g:o?)r   rW   rW   g>["@)r`   r   r   g >[?c                 C   s    t tj|||dd|dd d S )Nr&   rq   g [n<r"   )r   r   rs   )r   r(   rw   rx   r  r,   r,   r-   test_betanbinom_kurtosisg  s   
z'TestBetaNBinom.test_betanbinom_kurtosisN)r   r   r   r   r   r   r  r  r,   r,   r,   r-   r  S  s    
r  c                   @   s   e Zd Zdd ZdS )TestZipfc                 C   sB   t dd}|t j}td}||}||}t|| d S )Nr   r   rW   )rP   rQ   r   r   r	   rF   r   r   r,   r,   r-   test_gh20692  s   

zTestZipf.test_gh20692N)r   r   r   r  r,   r,   r,   r-   r    s    r  )Ar   	itertoolsscipy.statsr   r   r   r   r   r   r   r	   r
   r   r   r   r   r   numpyrP   numpy.testingr   r   r   r   scipy.specialr   scipy.optimizer   scipy.integrater   r   r   r.   r2   r@   rJ   rS   rU   r^   rf   rl   ro   productintfloatry   rz   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r  r  r  r,   r,   r,   r-   <module>   sl    @

		


	
^ P

-