a
    Qe                  	   @   s8  d dl Z d dlZd dlZd dlmZ d dlZd dlZd dlZd dlZ	d dl
mZmZmZ d dlmZmZmZmZmZmZmZ d dlmZ d dlmZ d dlmZmZ d dlmZmZ d d	lm Z  G d
d dZ!dde! ifddg difddg difdde! ifdde! ifde! d dfgZ"ej#j$dkrBej#j%dk rBdZ&ndZ&dd edfdd e'e&fdd e(dfdd edfd d edfd!d e'd"fgZ)d#d edfd$d edfd%d e'e&fd&d e(dfd'd e'd"fgZ*d(d e'e&fd)d e(dfd*d edfd+d edfd,d e'd"fgZ+g d-fd.d/ggd0fd1d2e	j,d3gd4fd1d2e	j-d3gd4fd/d/gd5fgZ.d6e/d7fd8e/d7fgZ0d9ed:fd;ed:fgZ1d<ed:fe	j-e	j-fed:fe	j- e	j- fed:fe	j-e	j- fed:fe	j- e	j,fe/d=fe	j,e	j-fe/d=fgZ2d e	j,fe/d=fe	j,e	j,fe/d=fgZ3ej45d>e1e0 e3 ej45d?e"d@dA Z6ej45d?e"dBdC Z7dDdE Z8dFdG Z9ej45d?e"dHdI Z:ej45dJg dKdLdM Z;dNdO Z<dkdRdSZ=dldUdVZ>dWdX Z?ej45dYg dZd[d\ Z@ej45dYddgG d]d^ d^ZAG d_d` d`ZBG dadb dbZCG dcdd ddZDG dedf dfZEG dgdh dhZFG didj djZGdS )m    N)deepcopy)assert_allcloseassert_equalsuppress_warnings)TransformedDensityRejectionDiscreteAliasUrnDiscreteGuideTableNumericalInversePolynomialNumericalInverseHermiteSimpleRatioUniformsUNURANError)stats)special)	chisquarecramervonmises)distdiscretedistcont)check_random_statec                   @   s$   e Zd Zdd Zdd Zdd ZdS )StandardNormalc                 C   s&   dt dt j  t d| |  S N      ?       @      ࿩npsqrtpiexpselfx r!   S/var/www/sunrise/env/lib/python3.9/site-packages/scipy/stats/tests/test_sampling.pypdf   s    zStandardNormal.pdfc                 C   s,   dt dt j  |  t d| |  S r   r   r   r!   r!   r"   dpdf#   s    zStandardNormal.dpdfc                 C   s
   t |S N)r   Zndtrr   r!   r!   r"   cdf&   s    zStandardNormal.cdfN__name__
__module____qualname__r#   r$   r&   r!   r!   r!   r"   r      s   r   r   distr   ){Gz?
ףp=
?皙?r   r	   r
   r   )r+   modepypy)      
   z.unsupported operand type for float\(\): 'list'zmust be real number, not listc                 C   s   |  S r%   r!   r    r!   r!   r"   <lambda>>       r5   z...c                 C   s   g S r%   r!   r4   r!   r!   r"   r5   @   r6   c                 C   s   t S r%   foor4   r!   r!   r"   r5   B   r6   name 'foo' is not definedc                 C   s   t jS r%   r   infr4   r!   r!   r"   r5   D   r6   c                 C   s   t jS r%   r   nanr4   r!   r!   r"   r5   F   r6   c                   C   s   dS Nr   r!   r!   r!   r!   r"   r5   H   r6   ,takes 0 positional arguments but 1 was givenc                 C   s   t jS r%   r:   r4   r!   r!   r"   r5   O   r6   c                 C   s   t jS r%   r<   r4   r!   r!   r"   r5   Q   r6   c                 C   s   g S r%   r!   r4   r!   r!   r"   r5   S   r6   c                 C   s   t S r%   r7   r4   r!   r!   r"   r5   U   r6   c                   C   s   dS r>   r!   r!   r!   r!   r"   r5   W   r6   c                 C   s   g S r%   r!   r4   r!   r!   r"   r5   ^   r6   c                 C   s   t S r%   r7   r4   r!   r!   r"   r5   `   r6   c                 C   s   t jS r%   r:   r4   r!   r!   r"   r5   b   r6   c                 C   s   t jS r%   r<   r4   r!   r!   r"   r5   d   r6   c                   C   s   dS r>   r!   r!   r!   r!   r"   r5   f   r6   z!must contain at least one elementr           z0wrong number of dimensions \(expected 1, got 2\)皙?皙?r.   )must contain only finite / non-nan values(must contain at least one non-zero value)      r2   zmust be a length 2 tupler!   )rF   rE   zleft >= right)rE   rE   )r3   r3   zonly non-nan valuesdomain, err, msgzmethod, kwargsc                 C   sT   t tj|}tj||d& |f i |d| i W d    n1 sF0    Y  d S )Nmatchdomain)getattrr   samplingpytestraises)rJ   errmsgmethodkwargsMethodr!   r!   r"   test_bad_domain   s    rT   c           
      C   s  t tj| }d}|f i |d|i}|f i |d|i}t|d|d tjd |f i |}|d}tjd  |f i |ddi}|d}t|| tjtj	d}tj
tj	d}	|f i |d|i}|f i |d|	i}t|d|d d S )N{   random_stated   )rK   r   rL   r   rvsr   randomseedRandomStateZMT19937	Generator)
rQ   rR   rS   rZ   rng1rng2rvs1rvs2Zseed1Zseed2r!   r!   r"   test_random_state   s"    


ra   c                  C   sr   t t dd} t t }|d t| d|d t t dd}|d}|d |d}t|| d S )NrU   rV   rW   )r   r   Zset_random_stater   rX   )r]   r^   rngr_   r`   r!   r!   r"   test_set_random_state   s    




rd   c                     s   d d dG dd d  fdd}  fdd}t j| d}t j|d}|  |  |  |  d	 d
ks|J d dksJ d S )N)err1err2c                   @   s$   e Zd Zdd Zdd Zdd ZdS )z.test_threading_behaviour.<locals>.Distributionc                 S   s
   || _ d S r%   )pdf_msg)r   rg   r!   r!   r"   __init__   s    z7test_threading_behaviour.<locals>.Distribution.__init__c                 S   s&   d|  k rdk r"n n
t | j|S )Ng33333H@g      I@)
ValueErrorrg   r   r!   r!   r"   r#      s    
z2test_threading_behaviour.<locals>.Distribution.pdfc                 S   s   dS NrE   r!   r   r!   r!   r"   r$      s    z3test_threading_behaviour.<locals>.Distribution.dpdfN)r(   r)   r*   rh   r#   r$   r!   r!   r!   r"   Distribution   s   rk   c               
      s\    d} t | ddd}z|d W n2 tyV } z|jd d< W Y d }~n
d }~0 0 d S )Nr8   r3   rW      rJ   rV   順 r   re   r   rX   ri   argsr+   rc   erk   errorsr!   r"   func1   s    z'test_threading_behaviour.<locals>.func1c               
      s\    d} t | ddd}z|d W n2 tyV } z|jd d< W Y d }~n
d }~0 0 d S )Nbarrl   rF   rn   ro   r   rf   rp   rr   rt   r!   r"   func2   s    z'test_threading_behaviour.<locals>.func2)targetre   r8   rf   rw   )	threadingThreadstartjoin)rv   rx   t1t2r!   rt   r"   test_threading_behaviour   s    
		r   c                 C   sP   t tj| }|f i |ddi}t|}t|}t|d|d d S )NrV   rU   rW   )rK   r   rL   pickledumpsloadsr   rX   )rQ   rR   rS   r]   objr^   r!   r!   r"   test_pickle   s
    

r   size)Nr   )r   rE   )r3   r2   )rF   r2         )r   r   )r   rE   c                 C   sP   t t }| d u r(t|| sLJ n$t| r8| f} || j| ksLJ d S r%   )r   r   r   ZisscalarrX   shape)r   rc   r!   r!   r"   test_rvs_size  s    

r   c                  C   s   t  } tjd}t| |d}tjdddd}t|| |    t| 	||	| t jddd} t| |d}t|| |    t| 	||	| t 
d	d
} t| |d}|  }| t|d |d d }t|||    d S )Nr   rb   rE   rW   num      $@      @)locZscaler3   rA   )r   normr   rY   default_rngr
   linspacecheck_cont_samplesr   ppfbinomr   supportpmfarangecheck_discr_samples)r+   urngrc   urJ   pvr!   r!   r"   test_with_scipy_distribution  s    r   Hz>皙?c                 C   sn   |  d}| | f}t|d r8t||||d |  d}t|j|_t||jj	}|dksjJ d S )Nro   rE   rtolatoli  r   )
rX   meanvarr   isfiniter   Z	vectorizer&   r   pvalue)rc   r+   mv_exr   r   rX   mvpvalr!   r!   r"   r   '  s    

r   MbP?c                 C   s   |  d}| | f}t||||d ||  }t|}tj|dd\}}	|	|	  }	|	|d |	j< t	||j
}
|
dksJ d S )Nro   r   T)Zreturn_countsr   )rX   r   r   r   sumr   Z
zeros_likeuniquer   r   r   )rc   r   r   r   r   rX   r   Z	obs_freqs_Zfreqsr   r!   r!   r"   r   4  s    

r   c                  C   s   d} t jt| d  tt ddd W d    n1 s80    Y  t jt| d tt dd W d    n1 st0    Y  d S )Nz.102 : center moved into domain of distributionrH   r   r2   r   )centerrJ   rJ   )rM   warnsRuntimeWarningr	   r   )rP   r!   r!   r"   !test_warning_center_not_in_domainD  s
    .r   rQ   )r   r	   r   c                 C   sR   t tj| }d}tjt|d  |t ddd W d    n1 sD0    Y  d S )Nz17 : mode not in domainrH   r   r   )r/   rJ   )rK   r   rL   rM   rN   r   r   )rQ   rS   rP   r!   r!   r"   test_error_mode_not_in_domainN  s    r   c                   @   s   e Zd Zdd ZdejjdddejjdddgZde	 fdd	d
dgZ
de	 fde	 fdgZejdeejde
ejdedd Zdd ZdS )TestQRVSc                 C   s   d}t jt|d2 ttj|}|t }|jdd W d    n1 sJ0    Y  ttj|}|t }d}t jt|d& |jdtj	dd W d    n1 s0    Y  d S )	Nz&`qmc_engine` must be an instance of...rH   r   )
qmc_engine6`d` must be consistent with dimension of `qmc_engine`.r2   rF   dr   )
rM   rN   ri   rK   r   rL   r   qrvsqmcHalton)r   rQ   rI   rS   genr!   r!   r"   test_input_validation_  s    
*
zTestQRVS.test_input_validationNrE   r   rZ   r2   )rE   )rE   )r   r   )r   r   )rF   r   r   )r2   )r2   qrngsize_in, size_outzd_in, d_outc                 C   sJ  t jdkot d dk}|r0|dkr0td t }ttj|}	|	|}
|d ur|d ur|j	|krd}tj
t|d  |
j|||d W d    n1 s0    Y  d S |d u r|d ur|j	d	kr|j	f}|| }t|}|
j|||d
}|d ur|j|ksJ |d urF|t|p"d	}tj||}t||dd d S )Nwin32r   32bitr	   z4NumericalInversePolynomial.qrvs fails for Win 32-bitr   rH   r   rE   r   r   r   -q=r   )sysplatformarchitecturerM   xfailr   rK   r   rL   r   rN   ri   r   r   r   rY   r   prodr   r   reshaper   )r   r   size_insize_outZd_inZd_outrQ   Zw32r+   rS   r   rI   Zshape_expectedqrng2r   uniformqrvs2r!   r!   r"   test_QRVS_shape_consistencyu  s,    
.

z$TestQRVS.test_QRVS_shape_consistencyc                 C   s   t  }ttj|}||}d}d}tjj|dd}tjj|dd}|t|}	|j	|||d}
tj
|	}t|D ]4}|
d|f }|d d |f |}t||dd qvd S )	N)r2   r   r   r   r   r   .r   r   )r   rK   r   rL   r   r   rY   r   r   r   r   r   ranger   r   )r   rQ   r+   rS   r   r   r   r   r   r   r   r   isampleZsample2r!   r!   r"   test_QRVS_size_tuple  s    zTestQRVS.test_QRVS_size_tuple)r(   r)   r*   r   r   r   ZSobolr   ZqrngstuplesizesZdsrM   markparametrizer   r   r!   r!   r!   r"   r   \  s   ""r   c                
   @   s  e Zd ZG dd dZG dd dZG dd dZe e ededgZdd	gZdd
gZde	j
gZde	j
gZeeeegZejdeeedd Zdd edfgZee7 Zejdedd Zejdedd Zejdedd Zejdg ddd Zdd Zejd d!e	je	j
d"d#gd$d% Ze	jd&d'd(d)g g ge	jge	j
 e	je	j
gd&e	jd*d"gd+d,e	j
gg d-ggZ ejd.e d/d0 Z!d1d2 Z"d3S )4TestTransformedDensityRejectionc                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
z%TestTransformedDensityRejection.dist0c                 C   s   dd||   S N      ?rE   r!   r   r!   r!   r"   r#     s    z)TestTransformedDensityRejection.dist0.pdfc                 C   s   dd|  S )Nr   r!   r   r!   r!   r"   r$     s    z*TestTransformedDensityRejection.dist0.dpdfc                 C   s   d||d d  d  S Nr   r2   gUUUUUU?r!   r   r!   r!   r"   r&     s    z)TestTransformedDensityRejection.dist0.cdfc                 C   s   dS N)rE   r!   r   r!   r!   r"   r     s    z-TestTransformedDensityRejection.dist0.supportNr(   r)   r*   r#   r$   r&   r   r!   r!   r!   r"   dist0  s   r   c                   @   s$   e Zd Zdd Zdd Zdd ZdS )z%TestTransformedDensityRejection.dist1c                 C   s   t j|d S Nr   r   r   Z_pdfr   r!   r!   r"   r#     s    z)TestTransformedDensityRejection.dist1.pdfc                 C   s   | d t j|d  S )N{Gz?r   r   r   r!   r!   r"   r$     s    z*TestTransformedDensityRejection.dist1.dpdfc                 C   s   t j|d S r   r   r   Z_cdfr   r!   r!   r"   r&     s    z)TestTransformedDensityRejection.dist1.cdfNr'   r!   r!   r!   r"   dist1  s   r   c                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
z%TestTransformedDensityRejection.dist2c                 C   s
   || _ d S r%   shiftr   r   r!   r!   r"   rh     s    z.TestTransformedDensityRejection.dist2.__init__c                 C   s&   || j 8 }dt|d  }d| | S Nr         ?r   absr   r    yr!   r!   r"   r#     s    
z)TestTransformedDensityRejection.dist2.pdfc                 C   s8   || j 8 }dt|d  }|| | }|dk r2|S | S )Nr   r@   r   r   r!   r!   r"   r$     s    
z*TestTransformedDensityRejection.dist2.dpdfc                 C   s2   || j 8 }|dkrdd|  S ddd|   S d S Nr@   r   r   r   r   r!   r!   r"   r&     s    
z)TestTransformedDensityRejection.dist2.cdfN)r(   r)   r*   rh   r#   r$   r&   r!   r!   r!   r"   dist2  s   r   r@        @?r   dist, mv_exc                 C   sL   t  &}|t t|dd}W d    n1 s20    Y  t||| d S N*   rb   )r   filterr   r   r   )r   r+   r   suprc   r!   r!   r"   
test_basic  s    
*z*TestTransformedDensityRejection.test_basicc                 C   s   dS )Nr   r!   r4   r!   r!   r"   r5     r6   z(TestTransformedDensityRejection.<lambda>50 : bad construction points.pdf, err, msgc                 C   sX   G dd d}||_ dd |_tj||d t| W d    n1 sJ0    Y  d S )Nc                   @   s   e Zd ZdS )z:TestTransformedDensityRejection.test_bad_pdf.<locals>.distNr(   r)   r*   r!   r!   r!   r"   r+     s   r+   c                 S   s   dS rj   r!   r4   r!   r!   r"   r5     r6   z>TestTransformedDensityRejection.test_bad_pdf.<locals>.<lambda>rH   r#   r$   rM   rN   r   r   r#   rO   rP   r+   r!   r!   r"   test_bad_pdf  s
    
z,TestTransformedDensityRejection.test_bad_pdfzdpdf, err, msgc                 C   s\   G dd d}dd |_ ||_tj||d t|dd W d    n1 sN0    Y  d S )Nc                   @   s   e Zd ZdS )z;TestTransformedDensityRejection.test_bad_dpdf.<locals>.distNr  r!   r!   r!   r"   r+     s   r+   c                 S   s   | S r%   r!   r4   r!   r!   r"   r5     r6   z?TestTransformedDensityRejection.test_bad_dpdf.<locals>.<lambda>rH   rE   r3   r   r  )r   r$   rO   rP   r+   r!   r!   r"   test_bad_dpdf  s
    
z-TestTransformedDensityRejection.test_bad_dpdfrG   c                 C   s@   t j||d tt |d W d    n1 s20    Y  d S NrH   r   )rM   rN   r   r   r   rJ   rO   rP   r!   r!   r"   test_inf_nan_domains  s    z4TestTransformedDensityRejection.test_inf_nan_domainsconstruction_points)r   r   r   c                 C   s@   t jtdd tt |d W d    n1 s20    Y  d S )Nz1`construction_points` must be a positive integer.rH   r
  rM   rN   ri   r   r   r   r
  r!   r!   r"   #test_bad_construction_points_scalar  s    zCTestTransformedDensityRejection.test_bad_construction_points_scalarc                 C   s  g }t jtdd tt |d W d    n1 s60    Y  g d}t jtdd tt |d W d    n1 sz0    Y  tjtjtjg}t jt	dd tt |d W d    n1 s0    Y  ddg}t jtd	d  tt d
|d W d    n1 s0    Y  d S )NzC`construction_points` must either be a scalar or a non-empty array.rH   r  )rE   rE   rE   rE   rE   rE   z:33 : starting points not strictly monotonically increasingr   r3   z!50 : starting point out of domain)r2   )rJ   r
  )
rM   rN   ri   r   r   r   r   r   r=   r   r  r!   r!   r"   "test_bad_construction_points_array#  s*    $$$zBTestTransformedDensityRejection.test_bad_construction_points_arrayc      r   r   c                 C   sD   d}t jt|d tt dd W d    n1 s60    Y  d S )Nz`c` must either be -0.5 or 0.rH   r  )r  r  )r   r  rP   r!   r!   r"   
test_bad_cG  s    z*TestTransformedDensityRejection.test_bad_cr   rE   i  r   r   rA   rB   r   r2   r   r   c                 C   s   t t dd}t V}|td |td |td |td ||}tj|}W d    n1 sp0    Y  t	||ddd	 |j
|j
ksJ d S )
NgH.?)Zmax_squeeze_hat_ratio$invalid value encountered in greater*invalid value encountered in greater_equal!invalid value encountered in less'invalid value encountered in less_equalr   h㈵>r   )r   r   r   r   r   Zppf_hatr   r   r   r   r   )r   r   rc   r   resexpectedr!   r!   r"   test_ppf_hatQ  s    
*z,TestTransformedDensityRejection.test_ppf_hatc                 C   s   G dd d}d}t jt|d t| W d    n1 s>0    Y  G dd d}d}t jt|d t| W d    n1 s0    Y  d S )Nc                   @   s   e Zd ZdS );TestTransformedDensityRejection.test_bad_dist.<locals>.distNr  r!   r!   r!   r"   r+   g  s   r+   z`pdf` required but not found.rH   c                   @   s   e Zd Zdd ZdS )r  c                 S   s   d| |   S rj   r!   r4   r!   r!   r"   r5   p  r6   zDTestTransformedDensityRejection.test_bad_dist.<locals>.dist.<lambda>Nr(   r)   r*   r#   r!   r!   r!   r"   r+   o  s   z`dpdf` required but not found.)rM   rN   ri   r   )r   r+   rP   r!   r!   r"   test_bad_diste  s    &z-TestTransformedDensityRejection.test_bad_distN)#r(   r)   r*   r   r   r   distsmv0mv1r   r;   mv2mv3mvsrM   r   r   zipr   r   Zbad_pdfsbad_pdfs_commonr  bad_dpdf_commonr  inf_nan_domainsr	  r  r  r=   r  r   r   r  r   r!   r!   r!   r"   r     sB   







$

r   c                	   @   s8  e Zd Zh dZejdedd Zdd e	dfdd e	dfd	d e	d
fdd e
dfdd e	dfdd edfdd edfgZejdedd Zejdg dg dgdd Zejdedd Zej ejfejejfej ej fdejfej dfgZejded d! Zd"d# Zd$d% Zd&d' Zd(S ))TestDiscreteAliasUrn>   nchypergeom_fisherrandintnchypergeom_walleniusdistname, paramsc           
      C   s   || j v rd}t| t|ts(|}n
tt|}|| }| }t	|d |d  sbtd t
|d |d d }||}|d}t|dd}	t|	|| d S )NzYDAU fails on these probably because of large domains and small computation errors in PMF.rE   r   z$DAU only works with a finite domain.r   r   rb   )basic_fail_distsrM   skip
isinstancestrrK   r   r   r   r   r   r   r   r   
r   distnameparamsrP   r+   rJ   kr   r   rc   r!   r!   r"   r     s    






zTestDiscreteAliasUrn.test_basicc                 C   s   t jS r%   r:   r4   r!   r!   r"   r5     r6   zTestDiscreteAliasUrn.<lambda>rC   c                 C   s   t jS r%   r<   r4   r!   r!   r"   r5     r6   c                 C   s   dS )Nr@   r!   r4   r!   r!   r"   r5     r6   rD   c                 C   s   t S r%   r7   r4   r!   r!   r"   r5     r6   r9   c                 C   s   g S r%   r!   r4   r!   r!   r"   r5     r6   z)setting an array element with a sequence.c                 C   s   |  S r%   r!   r4   r!   r!   r"   r5     r6   z50 : probability < 0c                   C   s   dS r>   r!   r!   r!   r!   r"   r5     r6   r?   zpmf, err, msgc                 C   sR   G dd d}||_ tj||d t|dd W d    n1 sD0    Y  d S )Nc                   @   s   e Zd ZdS )z/TestDiscreteAliasUrn.test_bad_pmf.<locals>.distNr  r!   r!   r!   r"   r+     s   r+   rH   r  r   )r   rM   rN   r   )r   r   rO   rP   r+   r!   r!   r"   test_bad_pmf  s    z!TestDiscreteAliasUrn.test_bad_pmfr   )r-   r,   r.   )r   r   g      @      @r   g      @c                 C   s~   t j|t jd}t|dd}|d ||  }t dt|}t j||d}t j|| d |d}||f}t	||| d S )N)ZdtyperU   rb   ro   r   )weightsrF   )
r   Zasarrayfloat64r   rX   r   r   lenZaverager   )r   r   rc   ZvariatesZ
m_expectedZ
v_expectedZmv_expectedr!   r!   r"   test_sampling_with_pv  s    
z*TestDiscreteAliasUrn.test_sampling_with_pvpv, msgc                 C   s:   t jt|d t| W d    n1 s,0    Y  d S NrH   rM   rN   ri   r   r   r   rP   r!   r!   r"   test_bad_pv  s    z TestDiscreteAliasUrn.test_bad_pvr   rJ   c                 C   sF   t jtdd$ ttdd|d W d    n1 s80    Y  d S Nzmust be finiterH   r3   rA   r   )rM   rN   ri   r   r   r   r   rJ   r!   r!   r"   test_inf_domain  s    z$TestDiscreteAliasUrn.test_inf_domainc                 C   sB   t jtdd  tddgdd W d    n1 s40    Y  d S )Nzrelative urn size < 1.rH   r   r   )Z
urn_factor)rM   r   r   r   r   r!   r!   r"   test_bad_urn_factor  s    z(TestDiscreteAliasUrn.test_bad_urn_factorc                 C   sL   d}G dd d}t jt|d t| W d    n1 s>0    Y  d S )NzG`domain` must be provided when the probability vector is not available.c                   @   s   e Zd Zdd ZdS )z0TestDiscreteAliasUrn.test_bad_args.<locals>.distc                 S   s   |S r%   r!   r   r!   r!   r"   r     s    z4TestDiscreteAliasUrn.test_bad_args.<locals>.dist.pmfN)r(   r)   r*   r   r!   r!   r!   r"   r+     s   r+   rH   r@  )r   rP   r+   r!   r!   r"   test_bad_args  s    z"TestDiscreteAliasUrn.test_bad_argsc                 C   s0   t td}t|dd}t||ddd d S )N)i  r   rb   )g     @g    
Ag{Gzt?)r   )r   Zsoftmaxr   Zonesr   r   )r   r   rc   r!   r!   r"   test_gh19359  s
    z!TestDiscreteAliasUrn.test_gh19359N)r(   r)   r*   r0  rM   r   r   r   r   ri   	NameErrorr   	TypeErrorZbad_pmfr8  r=  bad_pv_commonrB  r   r;   
inf_domainrE  rF  rG  rH  r!   r!   r!   r"   r+  w  sR   



$
r+  c                   @   sX  e Zd ZG dd dZG dd dZG dd dZG dd dZe e e e gZd	d
gZd	dgZ	de
j dde
jd   gZde
j dde
jd   gZee	eegZejdeeedd Zejjejdedd Zejdedd Zejdedd Zejdedd Ze
jd d!d"d#g g ge
jge
j e
je
jgd e
jd$d%gd&d'e
jgg d(ggZ ejd)e d*d+ Z!e
jd,d-d"d#g g ge
jge
j e
je
jgd e
jd$d%gd&d'e
jge
j d.d/gggZ"ejd0e"d1d2 Z#d3d4 Z$d!d5d6e
je
jgZ%d7d%e
je
jgZ&ejd8e%d9d: Z'ejd;e&d<d= Z(d>d? Z)d@dA Z*dBS )CTestNumericalInversePolynomialc                   @   s$   e Zd Zdd Zdd Zdd ZdS )z$TestNumericalInversePolynomial.dist0c                 C   s   dd||   S r   r!   r   r!   r!   r"   r#     s    z(TestNumericalInversePolynomial.dist0.pdfc                 C   s   d||d d  d  S r   r!   r   r!   r!   r"   r&     s    z(TestNumericalInversePolynomial.dist0.cdfc                 C   s   dS r   r!   r   r!   r!   r"   r     s    z,TestNumericalInversePolynomial.dist0.supportNr(   r)   r*   r#   r&   r   r!   r!   r!   r"   r     s   r   c                   @   s   e Zd Zdd Zdd ZdS )z$TestNumericalInversePolynomial.dist1c                 C   s   t j|d S r   r   r   r!   r!   r"   r#     s    z(TestNumericalInversePolynomial.dist1.pdfc                 C   s   t j|d S r   r   r   r!   r!   r"   r&     s    z(TestNumericalInversePolynomial.dist1.cdfN)r(   r)   r*   r#   r&   r!   r!   r!   r"   r     s   r   c                   @   s$   e Zd Zdd Zdd Zdd ZdS )z$TestNumericalInversePolynomial.dist2c                 C   s    dddt dt j |    S )N皙??rE   rF   r   sinr   r   r!   r!   r"   r#     s    z(TestNumericalInversePolynomial.dist2.pdfc                 C   sD   d|d  dddt j d|   t dt j |   dt j   S )NrO  rE   g?r   r   r9  r   r   cosr   r!   r!   r"   r&   	  s
    
,z(TestNumericalInversePolynomial.dist2.cdfc                 C   s   dS r   r!   r   r!   r!   r"   r     s    z,TestNumericalInversePolynomial.dist2.supportNrN  r!   r!   r!   r"   r     s   r   c                   @   s$   e Zd Zdd Zdd Zdd ZdS )z$TestNumericalInversePolynomial.dist3c                 C   s$   ddddt dt j |     S )NrA   rO  rP  rE   rF   rQ  r   r!   r!   r"   r#     s    z(TestNumericalInversePolynomial.dist3.pdfc                 C   s>   |d d ddt j  t dt j t dt j |    S )Nr   r   g
ףp=
?rF   r3   rS  r   r!   r!   r"   r&     s    $z(TestNumericalInversePolynomial.dist3.cdfc                 C   s   dS )N)r   r!   r   r!   r!   r"   r     s    z,TestNumericalInversePolynomial.dist3.supportNrN  r!   r!   r!   r"   dist3  s   rV  r@   r   r   gܿUUUUUU?gQ?rF   g @r   c                 C   s   t |dd}t||| d S r   )r	   r   r   r+   r   rc   r!   r!   r"   r   *  s    z)TestNumericalInversePolynomial.test_basicr/  c           	      C   s   g d}g d}dg}||v r.t d|  ||v rFt d|  t|trZtt|n|}|| }t &}|t t	|dd}W d    n1 s0    Y  ||v rd S t
||| | g d S )N)Zanglit
gausshyperkappa4ksonekstwoZlevy_llevy_stablestudentized_rangeZ	trapezoidZtriangvonmises)	Zchi2ZfatiguelifeZgibratZhalfgennormZlognormncfZncx2ZparetotZrel_breitwignerzPINV too slow for zPINV fails for r   rb   )rM   r1  r2  r3  rK   r   r   r   r   r	   r   r   r   )	r   r5  r6  Zvery_slow_dists
fail_distsZskip_sample_moment_checkr+   r   rc   r!   r!   r"   test_basic_all_scipy_dists0  s$    
*z9TestNumericalInversePolynomial.test_basic_all_scipy_distsr   c                 C   sV   G dd d}||_ tj||d  t|ddgd W d    n1 sH0    Y  d S )Nc                   @   s   e Zd ZdS )z9TestNumericalInversePolynomial.test_bad_pdf.<locals>.distNr  r!   r!   r!   r"   r+   T  s   r+   rH   r   r   r   )r#   rM   rN   r	   r  r!   r!   r"   r  R  s    z+TestNumericalInversePolynomial.test_bad_pdfzlogpdf, err, msgc                 C   sV   G dd d}||_ tj||d  t|ddgd W d    n1 sH0    Y  d S )Nc                   @   s   e Zd ZdS )z<TestNumericalInversePolynomial.test_bad_logpdf.<locals>.distNr  r!   r!   r!   r"   r+   \  s   r+   rH   r   r   r   )logpdfrM   rN   r	   )r   rd  rO   rP   r+   r!   r!   r"   test_bad_logpdfZ  s    z.TestNumericalInversePolynomial.test_bad_logpdfrG   c                 C   s@   t j||d tt |d W d    n1 s20    Y  d S r  )rM   rN   r	   r   r  r!   r!   r"   r	  d  s    z3TestNumericalInversePolynomial.test_inf_nan_domainsr   rE   '  r   r   r   rA   rB   r  r   c                 C   s   t  }t|dd}t V}|td |td |td |td ||}tj|}W d    n1 st0    Y  t||ddd |j	|j	ksJ d S 	N+=u_resolutionr  r  r  r  gdy=r   )
r   r	   r   r   r   r   r   r   r   r   r   r   r+   rc   r   r  r  r!   r!   r"   test_ppfx  s    
*z'TestNumericalInversePolynomial.test_ppfr  r3   r2   r   r    c                 C   s   t  }t|dd}t V}|td |td |td |td ||}tj|}W d    n1 st0    Y  t||ddd |j	|j	ksJ d S rg  )
r   r	   r   r   r   r&   r   r   r   r   )r   r    r+   rc   r   r  r  r!   r!   r"   test_cdf  s    
*z'TestNumericalInversePolynomial.test_cdfc                 C   sj   t  }t|dd}| \}}|dk s*J ||ks6J t|dd}| \}}|dk sZJ ||ksfJ d S Ng|=ri  rh  )r   r	   u_error)r   r+   rc   	max_errormaer!   r!   r"   test_u_error  s    z+TestNumericalInversePolynomial.test_u_errorg      @   g#B;orderc                 C   sH   t  }d}tjt|d t||d W d    n1 s:0    Y  d S )Nz2`order` must be an integer in the range \[3, 17\].rH   rt  )r   rM   rN   ri   r	   )r   rt  r+   rP   r!   r!   r"   test_bad_orders  s    z.TestNumericalInversePolynomial.test_bad_ordersrj  c                 C   sD   d}t jt|d tt |d W d    n1 s60    Y  d S )Nz.`u_resolution` must be between 1e-15 and 1e-5.rH   ri  )rM   rN   ri   r	   r   )r   rj  rP   r!   r!   r"   test_bad_u_resolution  s
    z4TestNumericalInversePolynomial.test_bad_u_resolutionc                 C   s   G dd d}| }d}t jt|d t|}W d    n1 sD0    Y  t }t|}d}t jt|d |d W d    n1 s0    Y  G dd d}| }t|}d	}t jt|d |  W d    n1 s0    Y  d S )
Nc                   @   s   e Zd Zdd ZdS )z=TestNumericalInversePolynomial.test_bad_args.<locals>.BadDistc                 S   s   t j|S r%   r   r   r!   r!   r"   r&     s    zATestNumericalInversePolynomial.test_bad_args.<locals>.BadDist.cdfN)r(   r)   r*   r&   r!   r!   r!   r"   BadDist  s   rx  z9Either of the methods `pdf` or `logpdf` must be specifiedrH   z4`sample_size` must be greater than or equal to 1000.r3   c                   @   s   e Zd Zdd ZdS )zBTestNumericalInversePolynomial.test_bad_args.<locals>.Distributionc                 S   s   t d| | S )Nr   )r   r   r   r!   r!   r"   r#     s    zFTestNumericalInversePolynomial.test_bad_args.<locals>.Distribution.pdfNr  r!   r!   r!   r"   rk     s   rk   z!Exact CDF required but not found.)rM   rN   ri   r	   r   ro  )r   rx  r+   rP   rc   rk   r!   r!   r"   rG    s     &(z,TestNumericalInversePolynomial.test_bad_argsc                 C   sh   G dd d}| }dd |_ t|}| }dd |_t|}tjdddd	}t|||| d S )
Nc                   @   s   e Zd ZdS )zJTestNumericalInversePolynomial.test_logpdf_pdf_consistency.<locals>.MyDistNr  r!   r!   r!   r"   MyDist  s   ry  c                 S   s   t |  |  d S NrF   )mathr   r4   r!   r!   r"   r5     r6   zLTestNumericalInversePolynomial.test_logpdf_pdf_consistency.<locals>.<lambda>c                 S   s   |  |  d S rz  r!   r4   r!   r!   r"   r5     r6   r  gwJ?rW   r   )r#   r	   rd  r   r   r   r   )r   ry  Zdist_pdfr]   Zdist_logpdfr^   qr!   r!   r"   test_logpdf_pdf_consistency  s    

z:TestNumericalInversePolynomial.test_logpdf_pdf_consistencyN)+r(   r)   r*   r   r   r   rV  r!  r"  r#  r   r   r$  r%  r&  rM   r   r   r'  r   xslowr   rc  r(  r  bad_logpdfs_commonre  r*  r	  r   r=   r;   r   rl  r    rm  rr  Z
bad_ordersZbad_u_resolutionrv  rw  rG  r}  r!   r!   r!   r"   rM    s\   
 

	

"


rM  c                
   @   s  e Zd ZG dd dZG dd dZe e gZddej  ddd	ej ej   gZd
dddej ej   d gZ	ee	gZ
ejdeee
ejdddgdd Zejdedd Zdd Zejdejjejdedd Zejddd Zdd Zd d!ejd!gZeejd! d e fd"d#gZejd$eejd%ed&d' Z d(d) Z!d*d+ Z"ej#d,d-d.d/g g gej$gej% ej$ej%gd!ej$d0d1gd2d3ej%gg d4ggZ&ejd5e&d6d7 Z'd8d9 Z(d S ):TestNumericalInverseHermitec                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
z!TestNumericalInverseHermite.dist0c                 C   s   ddt dt j |   S )Nr   r   r   rQ  r   r!   r!   r"   r#     s    z%TestNumericalInverseHermite.dist0.pdfc                 C   s   t jt dt j |  S )Nr   rS  r   r!   r!   r"   r$     s    z&TestNumericalInverseHermite.dist0.dpdfc                 C   s4   ddt j d|   t dt j |  dt j  S )Nr   r   rE   r9  rS  r   r!   r!   r"   r&     s    z%TestNumericalInverseHermite.dist0.cdfc                 C   s   dS r   r!   r   r!   r!   r"   r     s    z)TestNumericalInverseHermite.dist0.supportNr   r!   r!   r!   r"   r     s   r   c                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
z!TestNumericalInverseHermite.dist1c                 C   s\   |dkr&t dt j | d t j S |dk r2dS |dkrXt dt j | d t j S d S )Nr   r   r   r@   rQ  r   r!   r!   r"   r#     s    z%TestNumericalInverseHermite.dist1.pdfc                 C   s`   |dkr(t dt j | t j t j S |dk r4dS |dkr\t dt j | t j t j S d S )Nr   r   r@   r   r   rT  r   r   r!   r!   r"   r$     s     z&TestNumericalInverseHermite.dist1.dpdfc                 C   sX   |dkr$ddt dt j |   S |dk r0dS |dkrTddt dt j |   S d S )Nr   g      ?rE   r   r@   r   r   r  r   r!   r!   r"   r&     s    z%TestNumericalInverseHermite.dist1.cdfc                 C   s   dS )N)r   r   r!   r   r!   r!   r"   r     s    z)TestNumericalInverseHermite.dist1.supportNr   r!   r!   r!   r"   r     s   r   r   rF   rW  rE   r   g      пg      ?g      ?r   rt  r2   r   c                 C   s   t ||dd}t||| d S )Nr   )rt  rV   )r
   r   )r   r+   r   rt  rc   r!   r!   r"   r   &  s    z&TestNumericalInverseHermite.test_basicrG   c                 C   s@   t j||d tt |d W d    n1 s20    Y  d S r  )rM   rN   r
   r   r  r!   r!   r"   r	  /  s    z0TestNumericalInverseHermite.test_inf_nan_domainsc           
   	   C   s   h d}h d}||v r"t d ||v r4t d tjd tt|| }t|}tj	d}t
t|||| t|| }t
t|||| }	|dk sJ |	dk sJ d S )	N>   r\  r[  r]  Zskewnorm>   betaZgeninvgaussZgenhyperbolicrY  rZ  r`  r^  ZnctZnorminvgaussZwaldr_  ZinvgausszDistribution is too slowz)Fails - usually due to inaccurate CDF/PDFr   r3   :0yE>r   )rM   r1  r   r   rY   rZ   rK   r   r
   Zrandmaxr   r   r&   )
r   r5  shapesZ
slow_distsrb  r+   fnir    Zp_tolZu_tolr!   r!   r"   basic_test_all_scipy_dists4  s    

0 z6TestNumericalInverseHermite.basic_test_all_scipy_distszignore::RuntimeWarning)r5  r  c                 C   s   |  || d S r%   r  )r   r5  r  r!   r!   r"   rc  M  s    z6TestNumericalInverseHermite.test_basic_all_scipy_distsc                 C   s   |  dd d S )NZ	truncnorm)r   rF   r  r   r!   r!   r"   test_basic_truncnorm_gh17155U  s    z8TestNumericalInverseHermite.test_basic_truncnorm_gh17155c                 C   s   d}t jt|d tt dd W d    n1 s60    Y  d}t jt|d td W d    n1 sp0    Y  d}t jt|d tt dd	 W d    n1 s0    Y  d S )
Nz"`order` must be either 1, 3, or 5.rH   rF   ru  z`cdf` required but not foundr   z!could not convert string to floatZekkiri  )rM   rN   ri   r
   r   )r   rI   r!   r!   r"   r   Y  s    ,&z1TestNumericalInverseHermite.test_input_validationNr   )   )r  )r   r      r  rc   r   c           
      C   sp   t  }t|}t|}|j||d}|d ur:|j|ks:J |d urlt|}|j|d}tj	|}	t
||	 d S )N)r   rV   )r   )r   r
   r   rX   r   r   r   r   r   r   r   )
r   rc   r   r   r+   r  r^   rX   r   r`   r!   r!   r"   test_RVSk  s    z$TestNumericalInverseHermite.test_RVSc                 C   sZ   d}d}t jt|d ttj|  W d    n1 s:0    Y  ttj| dd d S )N)gdsz@g@e?zg98 : one or more intervals very short; possibly due to numerical problems with a pole or very flat tailrH   r  ri  )rM   r   r   r
   r   r  )r   r  rI   r!   r!   r"   test_inaccurate_CDF|  s
    ,z/TestNumericalInverseHermite.test_inaccurate_CDFc                 C   s<   t  }t|}t }t|}t|jdd|jdd d S )Nr   rb   )r   r
   r   r   r   rX   )r   r   Zfni1r   Zfni2r!   r!   r"   test_custom_distribution  s
    z4TestNumericalInverseHermite.test_custom_distributionr@   r   rf  r   r   r   rA   rB   r  r   c                 C   s   t  }t|dd}t V}|td |td |td |td ||}tj|}W d    n1 st0    Y  t||ddd	 |j	|j	ksJ d S )
Nr   ri  r  r  r  r  g&.>gLa㧝=r   )
r   r
   r   r   r   r   r   r   r   r   rk  r!   r!   r"   rl    s    
*z$TestNumericalInverseHermite.test_ppfc                 C   s   t  }t|dd}| \}}|dk s*J ||ks6J t &}|t t|dd}W d    n1 sh0    Y  | \}}|dk sJ ||ksJ d S rn  )r   r
   ro  r   r   r   )r   r+   rc   rp  rq  r   r!   r!   r"   rr    s    
*z(TestNumericalInverseHermite.test_u_error))r(   r)   r*   r   r   r!  r   r   r"  r#  r&  rM   r   r   r'  r   r*  r	  r  filterwarningsr~  r   rc  r  r   rY   r[   Zrngsappendr   r   r   r  r  r  r   r=   r;   r   rl  rr  r!   r!   r!   r"   r    sL   & 




r  c                
   @   s
  e Zd Zh dZdd Zdd Zdd Zej	de
d	d
 Zejddddg g gejgej ejejgdejddgddejgg dggZej	dedd Zej	dedd Zej ejfejejfej ej fdejfej dfgZej	dedd ZdS )TestDiscreteGuideTable>   r,  r-  r.  c                 C   sN   g d}t j }tt t||dd W d    n1 s@0    Y  d S )Nr   g333333?g333333?r1   rV   Zguide_factorr   rY   r   rM   r   r   r   r   r   r   r!   r!   r"   $test_guide_factor_gt3_raises_warning  s    
z;TestDiscreteGuideTable.test_guide_factor_gt3_raises_warningc                 C   sN   g d}t j }tt t||dd W d    n1 s@0    Y  d S )Nr  r   r  r  r  r!   r!   r"   %test_guide_factor_zero_raises_warning  s    
z<TestDiscreteGuideTable.test_guide_factor_zero_raises_warningc                 C   sN   g d}t j }tt t||dd W d    n1 s@0    Y  d S )Nr  r   r  r  r  r!   r!   r"   )test_negative_guide_factor_raises_warning  s    
z@TestDiscreteGuideTable.test_negative_guide_factor_raises_warningr/  c           
      C   s   || j v rd}t| t|ts(|}n
tt|}|| }| }t	|d |d  sbtd t
|d |d d }||}|d}t|dd}	t|	|| d S )NzYDGT fails on these probably because of large domains and small computation errors in PMF.rE   r   z$DGT only works with a finite domain.r   r   rb   )r0  rM   r1  r2  r3  rK   r   r   r   r   r   r   r   r   r4  r!   r!   r"   r     s    






z!TestDiscreteGuideTable.test_basicr   rE   rf  r   r   r   rA   rB   r  r   c           	      C   s   d\}}t ||}t|dd}t Z}|td |td |td |td ||}t j|||}W d    n1 s0    Y  t|j|j t|| d S )N)r   r   r   rb   r  r  r  r  )	r   r   r   r   r   r   r   r   r   )	r   r   npr+   rc   r   r  r  r!   r!   r"   rl    s    
.zTestDiscreteGuideTable.test_ppfr>  c                 C   s:   t jt|d t| W d    n1 s,0    Y  d S r?  )rM   rN   ri   r   rA  r!   r!   r"   rB    s    z"TestDiscreteGuideTable.test_bad_pvrJ   c                 C   sF   t jtdd$ ttdd|d W d    n1 s80    Y  d S rC  )rM   rN   ri   r   r   r   rD  r!   r!   r"   rE  &  s    z&TestDiscreteGuideTable.test_inf_domainN)r(   r)   r*   r0  r  r  r  rM   r   r   r   r   r   r   r=   r;   r   rl  rK  rB  rL  rE  r!   r!   r!   r"   r    s*   	


$r  c                   @   s   e Zd ZG dd dZededgZdejgZdejgZeegZ	e
jdeee	dd Ze
jded	d
 Zdd ZdS )TestSimpleRatioUniformsc                   @   s$   e Zd Zdd Zdd Zdd ZdS )zTestSimpleRatioUniforms.distc                 C   s   || _ || _d S r%   )r   r/   r   r!   r!   r"   rh   1  s    z%TestSimpleRatioUniforms.dist.__init__c                 C   s&   || j 8 }dt|d  }d| | S r   r   r   r!   r!   r"   r#   5  s    
z TestSimpleRatioUniforms.dist.pdfc                 C   s2   || j 8 }|dkrdd|  S ddd|   S d S r   r   r   r!   r!   r"   r&   :  s    
z TestSimpleRatioUniforms.dist.cdfN)r(   r)   r*   rh   r#   r&   r!   r!   r!   r"   r+   0  s   r+   r@   r   r   c                 C   sF   t ||jdd}t||| t ||j||jdd}t||| d S )Nr   )r/   rV   )r/   Zcdf_at_moderV   )r   r/   r   r&   rX  r!   r!   r"   r   H  s    
z"TestSimpleRatioUniforms.test_basicrG   c                 C   s@   t j||d tt |d W d    n1 s20    Y  d S r  )rM   rN   r   r   r  r!   r!   r"   r	  T  s    z,TestSimpleRatioUniforms.test_inf_nan_domainsc                 C   sB   t jtdd  tt ddd W d    n1 s40    Y  d S )Nz`pdf_area` must be > 0rH   r   r   )r/   Zpdf_area)rM   rN   ri   r   r   r   r!   r!   r"   rG  Y  s    z%TestSimpleRatioUniforms.test_bad_argsN)r(   r)   r*   r+   r!  r   r;   r#  r$  r&  rM   r   r   r'  r   r*  r	  rG  r!   r!   r!   r"   r  ,  s   




r  )r   r   )r   r   )Hrz   r   rM   copyr   r   r   r{  numpyr   Znumpy.testingr   r   r   Zscipy.stats.samplingr   r   r   r	   r
   r   r   Zscipyr   r   Zscipy.statsr   r   Zscipy.stats._distr_paramsr   r   Zscipy._lib._utilr   r   Zall_methodsimplementationnameversionZfloaterrrJ  rI  r(  r)  r  r=   r;   rK  ri   Zbad_sized_domainsZbad_domainsr*  Znan_domainsr   r   rT   ra   rd   r   r   r   r   r   r   r   r   r   r   r+  rM  r  r  r  r!   r!   r!   r"   <module>   s   $		

	
1






[ ?u   Wi