o
    h                  	   @   s0  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$dkrej#j%dk rdZ&ndZ&dd edfdd e'e&fdd e(dfdd edfd d edfd!d e'd"fgZ)d#d edfd$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<dPdQ Z=dRdS Z>dTdU Z?ej45dVg dWdXdY Z@ej45dVddgG dZd[ d[ZAG d\d] d]ZBG d^d_ d_ZCG d`da daZDG dbdc dcZEG ddde deZFG dfdg dgZGdS )h    N)deepcopy)assert_allcloseassert_equalsuppress_warnings)TransformedDensityRejectionDiscreteAliasUrnDiscreteGuideTableNumericalInversePolynomialNumericalInverseHermiteSimpleRatioUniformsUNURANError)stats)special)	chisquarecramervonmises)distdiscretedistcont)check_random_statec                   @   $   e Zd Zdd Zdd Zdd ZdS )StandardNormalc                 C   s&   dt dt j  t d| |  S N      ?       @      ࿩npsqrtpiexpselfx r"   Z/var/www/html/scripts/venv/lib/python3.10/site-packages/scipy/stats/tests/test_sampling.pypdf   s   &zStandardNormal.pdfc                 C   s,   dt dt j  |  t d| |  S r   r   r   r"   r"   r#   dpdf#   s   ,zStandardNormal.dpdfc                 C   s
   t |S N)r   ndtrr   r"   r"   r#   cdf&      
zStandardNormal.cdfN__name__
__module____qualname__r$   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 r&   r"   r!   r"   r"   r#   <lambda>>       r9   z...c                 C      g S r&   r"   r8   r"   r"   r#   r9   @       c                 C      t S r&   foor8   r"   r"   r#   r9   B   r<   name 'foo' is not definedc                 C      t jS r&   r   infr8   r"   r"   r#   r9   D   r:   c                 C   rA   r&   r   nanr8   r"   r"   r#   r9   F   r:   c                   C      dS Nr   r"   r"   r"   r"   r#   r9   H   r<   ,takes 0 positional arguments but 1 was givenc                 C   rA   r&   rB   r8   r"   r"   r#   r9   O   r:   c                 C   rA   r&   rD   r8   r"   r"   r#   r9   Q   r:   c                 C   r;   r&   r"   r8   r"   r"   r#   r9   S   r<   c                 C   r=   r&   r>   r8   r"   r"   r#   r9   U   r<   c                   C   rF   rG   r"   r"   r"   r"   r#   r9   W   r<   c                 C   r;   r&   r"   r8   r"   r"   r#   r9   ^   r<   c                 C   r=   r&   r>   r8   r"   r"   r#   r9   `   r<   c                 C   rA   r&   rB   r8   r"   r"   r#   r9   b   r:   c                 C   rA   r&   rD   r8   r"   r"   r#   r9   d   r:   c                   C   rF   rG   r"   r"   r"   r"   r#   r9   f   r<   z!must contain at least one elementr           z0wrong number of dimensions \(expected 1, got 2\)皙?皙?r1   )must contain only finite / non-nan values(must contain at least one non-zero value)      r5   zmust be a length 2 tupler"   )rO   rN   zleft >= right)rN   rN   )r6   r6   zonly non-nan valuesdomain, err, msgzmethod, kwargsc                 C   sV   t tj|}tj||d |di |d| i W d    d S 1 s$w   Y  d S )Nmatchdomainr"   )getattrr   samplingpytestraises)rS   errmsgmethodkwargsMethodr"   r"   r#   test_bad_domain   s   "r]   c           
      C   s  t tj| }d}|di |d|i}|di |d|i}t|d|d tjd |di |}|d}tjd  |di |ddi}|d}t|| tjtj	d}tj
tj	d}	|di |d|i}|di |d|	i}t|d|d d S )N{   random_stated   r"   )rT   r   rU   r   rvsr   randomseedRandomStateMT19937	Generator)
rZ   r[   r\   rc   rng1rng2rvs1rvs2seed1seed2r"   r"   r#   test_random_state   s"   


rm   c                  C   sr   t t dd} t t }|d t| d|d t t dd}|d}|d |d}t|| d S )Nr^   r_   r`   )r   r   set_random_stater   ra   )rg   rh   rngri   rj   r"   r"   r#   test_set_random_state   s   




rq   c                     s   d d dG dd d  fdd}  fdd}t j| d}t j|d}|  |  |  |  d	 d
ks>J d dksFJ d S )N)err1err2c                   @   r   )z.test_threading_behaviour.<locals>.Distributionc                 S   
   || _ d S r&   )pdf_msg)r    ru   r"   r"   r#   __init__   r)   z7test_threading_behaviour.<locals>.Distribution.__init__c                 S   s(   d|  k r
dk rn |S t | j|S )Ng33333H@g      I@)
ValueErrorru   r   r"   r"   r#   r$      s   
z2test_threading_behaviour.<locals>.Distribution.pdfc                 S   rF   NrN   r"   r   r"   r"   r#   r%         z3test_threading_behaviour.<locals>.Distribution.dpdfN)r+   r,   r-   rv   r$   r%   r"   r"   r"   r#   Distribution       rz   c               
      \    d} t | ddd}z|d W d S  ty- } z|jd d< W Y d }~d S d }~ww )Nr?   r6   r`      rS   r_   順 r   rr   r   ra   rw   argsr.   rp   erz   errorsr"   r#   func1      z'test_threading_behaviour.<locals>.func1c               
      r|   )Nbarr}   rO   r   r   r   rs   r   r   r   r"   r#   func2   r   z'test_threading_behaviour.<locals>.func2)targetrr   r?   rs   r   )	threadingThreadstartjoin)r   r   t1t2r"   r   r#   test_threading_behaviour   s   
		r   c                 C   sP   t tj| }|di |ddi}t|}t|}t|d|d d S )Nr_   r^   r`   r"   )rT   r   rU   pickledumpsloadsr   ra   )rZ   r[   r\   rg   objrh   r"   r"   r#   test_pickle   s
   

r   size)Nr   )r   rN   )r6   r5   )rO   r5         )r   r   )r   rN   c                 C   sR   t t }| d u rt|| sJ d S t| r| f} || j| ks'J d S r&   )r   r   r   isscalarra   shape)r   rp   r"   r"   r#   test_rvs_size  s   

r   c                  C   s   t  } tjd}t| |d}tjdddd}t|| |    t| 	||	| t jddd} t| |d}t|| |    t| 	||	| t 
d	d
} t| |d}|  }| t|d |d d }t|||    d S )Nr   rn   rN   r`   num      $@      @)locscaler6   rJ   )r   normr   rb   default_rngr
   linspacecheck_cont_samplesr   ppfbinomr   supportpmfarangecheck_discr_samples)r.   urngrp   urS   pvr"   r"   r#   test_with_scipy_distribution  s   r   c                 C   sn   |  d}| | f}t|d rt||ddd |  d}t|j|_t||jj	}|dks5J d S )Nr   rN   gHz>皙?rtolatoli  )
ra   meanvarr   isfiniter   	vectorizer(   r   pvalue)rp   r.   mv_exra   mvpvalr"   r"   r#   r   '  s   

r   c           	      C   s   |  d}| | f}t||ddd ||  }t|}tj|dd\}}||  }||d |j< t	||j
}|dksBJ d S )Nr   MbP?r   r   T)return_counts)ra   r   r   r   sumr   
zeros_likeuniquer   r   r   )	rp   r   r   ra   r   	obs_freqs_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 sw   Y  t jt| d tt dd W d    d S 1 s;w   Y  d S )Nz.102 : center moved into domain of distributionrQ   r   r5   r   )centerrS   rS   )rV   warnsRuntimeWarningr	   r   )rY   r"   r"   r#   !test_warning_center_not_in_domainD  s   "r   rZ   )r   r	   r   c                 C   sT   t tj| }d}tjt|d |t ddd W d    d S 1 s#w   Y  d S )Nz17 : mode not in domainrQ   r   r   )r2   rS   )rT   r   rU   rV   rW   r   r   )rZ   r\   rY   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 ttj|}|t }|jdd W d    n1 s%w   Y  ttj|}|t }d}t jt|d |jdtj	dd W d    d S 1 sUw   Y  d S )	Nz&`qmc_engine` must be an instance of...rQ   r   )
qmc_engine6`d` must be consistent with dimension of `qmc_engine`.r5   rO   dr   )
rV   rW   rw   rT   r   rU   r   qrvsqmcHalton)r    rZ   rR   r\   genr"   r"   r#   test_input_validation_  s   

"zTestQRVS.test_input_validationNrN   r   rc   r5   )rN   )rN   )r   r   )r   r   )rO   r   r   )r5   )r5   qrngsize_in, size_outzd_in, d_outc                 C   sH  t jdkot d dk}|r|dkrtd t }ttj|}	|	|}
|d urV|d urV|j	|krVd}tj
t|d |
j|||d W d    d S 1 sOw   Y  d S |d u rg|d urg|j	d	krg|j	f}|| }t|}|
j|||d
}|d ur|j|ksJ |d ur|t|pd	}tj||}t||dd d S d S )Nwin32r   32bitr	   z4NumericalInversePolynomial.qrvs fails for Win 32-bitr   rQ   r   rN   r   r   r   -q=r   )sysplatformarchitecturerV   xfailr   rT   r   rU   r   rW   rw   r   r   r   rb   r   prodr   r   reshaper   )r    r   size_insize_outd_ind_outrZ   w32r.   r\   r   rR   shape_expectedqrng2r   uniformqrvs2r"   r"   r#   test_QRVS_shape_consistencyu  s4   

z$TestQRVS.test_QRVS_shape_consistencyc                 C   s   t  }ttj|}||}d}d}tjj|dd}tjj|dd}|t|}	|j	|||d}
tj
|	}t|D ]}|
d|f }|d d |f |}t||dd q;d S )	N)r5   r   r   r   r   r   .r   r   )r   rT   r   rU   r   r   rb   r   r   r   r   r   ranger   r   )r    rZ   r.   r\   r   r   r   r   r   r   r   r   isamplesample2r"   r"   r#   test_QRVS_size_tuple  s   zTestQRVS.test_QRVS_size_tuple)r+   r,   r-   r   r   r   Sobolr   qrngstuplesizesdsrV   markparametrizer   r   r"   r"   r"   r#   r   \  s    ""r   c                
   @   s  e Zd ZG dd dZG dd dZG dd dZe e ededgZdd	gZdd
gZde	j
gZde	j
gZeeeegZejdeeedd Zdd edfgZee7 Zejdedd Zejdedd Zejdedd Zejdg ddd Zdd Zejd d!e	je	j
d"d#gd$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                   @   ,   e Zd Zdd Zdd Zdd Zdd Zd	S )
z%TestTransformedDensityRejection.dist0c                 C      dd||   S N      ?rN   r"   r   r"   r"   r#   r$        z)TestTransformedDensityRejection.dist0.pdfc                 C   s   dd|  S )Nr  r"   r   r"   r"   r#   r%        z*TestTransformedDensityRejection.dist0.dpdfc                 C      d||d d  d  S Nr  r5   gUUUUUU?r"   r   r"   r"   r#   r(        z)TestTransformedDensityRejection.dist0.cdfc                 C   rF   N)rN   r"   r    r"   r"   r#   r     ry   z-TestTransformedDensityRejection.dist0.supportNr+   r,   r-   r$   r%   r(   r   r"   r"   r"   r#   dist0  
    r  c                   @   r   )z%TestTransformedDensityRejection.dist1c                 C      t j|d S Nr   r   r   _pdfr   r"   r"   r#   r$     r  z)TestTransformedDensityRejection.dist1.pdfc                 C   s   | d t j|d  S )N{Gz?r   r  r   r"   r"   r#   r%        z*TestTransformedDensityRejection.dist1.dpdfc                 C   r  r  r   r   _cdfr   r"   r"   r#   r(     r  z)TestTransformedDensityRejection.dist1.cdfNr*   r"   r"   r"   r#   dist1      r  c                   @   r   )
z%TestTransformedDensityRejection.dist2c                 C   rt   r&   shiftr    r  r"   r"   r#   rv     r)   z.TestTransformedDensityRejection.dist2.__init__c                 C   &   || j 8 }dt|d  }d| | S Nr         ?r  absr    r!   yr"   r"   r#   r$        
z)TestTransformedDensityRejection.dist2.pdfc                 C   s8   || j 8 }dt|d  }|| | }|dk r|S | S )Nr   rI   r  r   r"   r"   r#   r%     s   
z*TestTransformedDensityRejection.dist2.dpdfc                 C   .   || j 8 }|dkrdd|  S ddd|   S NrI   r  r   r  r   r"   r"   r#   r(        
z)TestTransformedDensityRejection.dist2.cdfN)r+   r,   r-   rv   r$   r%   r(   r"   r"   r"   r#   dist2  s
    r&  rI        @?r  dist, mv_exc                 C   sL   t  }|t t|dd}W d    n1 sw   Y  t||| d S N*   rn   )r   filterr   r   r   )r    r.   r   suprp   r"   r"   r#   
test_basic  s
   
z*TestTransformedDensityRejection.test_basicc                 C   rF   )Nr   r"   r8   r"   r"   r#   r9     r<   z(TestTransformedDensityRejection.<lambda>50 : bad construction points.pdf, err, msgc                 C   sZ   G dd d}||_ dd |_tj||d t| W d    d S 1 s&w   Y  d S )Nc                   @      e Zd ZdS )z:TestTransformedDensityRejection.test_bad_pdf.<locals>.distNr+   r,   r-   r"   r"   r"   r#   r.         r.   c                 S   rF   rx   r"   r8   r"   r"   r#   r9     r<   z>TestTransformedDensityRejection.test_bad_pdf.<locals>.<lambda>rQ   r$   r%   rV   rW   r   r    r$   rX   rY   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    d S 1 s(w   Y  d S )Nc                   @   r1  )z;TestTransformedDensityRejection.test_bad_dpdf.<locals>.distNr2  r"   r"   r"   r#   r.     r3  r.   c                 S   s   | S r&   r"   r8   r"   r"   r#   r9     r<   z?TestTransformedDensityRejection.test_bad_dpdf.<locals>.<lambda>rQ   rN   r6   r   r4  )r    r%   rX   rY   r.   r"   r"   r#   test_bad_dpdf  s   
"z-TestTransformedDensityRejection.test_bad_dpdfrP   c                 C   B   t j||d tt |d W d    d S 1 sw   Y  d S NrQ   r   )rV   rW   r   r   r    rS   rX   rY   r"   r"   r#   test_inf_nan_domains     "z4TestTransformedDensityRejection.test_inf_nan_domainsconstruction_points)r	  r   r   c                 C   sB   t jtdd tt |d W d    d S 1 sw   Y  d S )Nz1`construction_points` must be a positive integer.rQ   r>  rV   rW   rw   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 sw   Y  g d}t jtdd tt |d W d    n1 s=w   Y  tjtjtjg}t jt	dd tt |d W d    n1 scw   Y  ddg}t jtd	d tt d
|d W d    d S 1 sw   Y  d S )NzC`construction_points` must either be a scalar or a non-empty array.rQ   r?  )rN   rN   rN   rN   rN   rN   z:33 : starting points not strictly monotonically increasingr/  r6   z!50 : starting point out of domain)r5   )rS   r>  )
rV   rW   rw   r   r   r   r   r   rE   r   rA  r"   r"   r#   "test_bad_construction_points_array#  s2   "zBTestTransformedDensityRejection.test_bad_construction_points_arrayc      r   r   c                 C   sF   d}t jt|d tt dd W d    d S 1 sw   Y  d S )Nz`c` must either be -0.5 or 0.rQ   rG  )rF  r@  )r    rF  rY   r"   r"   r#   
test_bad_cG  s   "z*TestTransformedDensityRejection.test_bad_cr   rN   i  r   r  rJ   rK   r  r5   r   r   c                 C   s   t t dd}t +}|td |td |td |td ||}tj|}W d    n1 s8w   Y  t	||ddd	 |j
|j
ksMJ d S )
NgH.?)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   ppf_hatr   r   r   r   r   )r    r   rp   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w   Y  G dd d}d}t jt|d t| W d    d S 1 sDw   Y  d S )Nc                   @   r1  );TestTransformedDensityRejection.test_bad_dist.<locals>.distNr2  r"   r"   r"   r#   r.   g  r3  r.   z`pdf` required but not found.rQ   c                   @      e Zd Zdd ZdS )rT  c                 S   s   d| |   S rx   r"   r8   r"   r"   r#   r9   p  s    zDTestTransformedDensityRejection.test_bad_dist.<locals>.dist.<lambda>Nr+   r,   r-   r$   r"   r"   r"   r#   r.   o      z`dpdf` required but not found.)rV   rW   rw   r   )r    r.   rY   r"   r"   r#   test_bad_diste  s   

"z-TestTransformedDensityRejection.test_bad_distN)#r+   r,   r-   r  r  r&  distsmv0mv1r   rC   mv2mv3mvsrV   r   r   zipr.  r   bad_pdfsbad_pdfs_commonr6  bad_dpdf_commonr8  inf_nan_domainsr<  rB  rE  rE   rH  r   r   rS  rX  r"   r"   r"   r#   r     sD    







$

r   c                	   @   s0  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$d% Zd&S )'TestDiscreteAliasUrn>   randintnchypergeom_fishernchypergeom_walleniusdistname, paramsc           
      C      || j v rd}t| t|ts|}ntt|}|| }| }t	|d |d  s1td t
|d |d d }||}|d}t|dd}	t|	|| d S )NzYDAU fails on these probably because of large domains and small computation errors in PMF.rN   r   z$DAU only works with a finite domain.r   r+  rn   )basic_fail_distsrV   skip
isinstancestrrT   r   r   r   r   r   r   r   r   
r    distnameparamsrY   r.   rS   kr   r   rp   r"   r"   r#   r.    s   






zTestDiscreteAliasUrn.test_basicc                 C   rA   r&   rB   r8   r"   r"   r#   r9     r:   zTestDiscreteAliasUrn.<lambda>rL   c                 C   rA   r&   rD   r8   r"   r"   r#   r9     r:   c                 C   rF   )NrI   r"   r8   r"   r"   r#   r9     r<   rM   c                 C   r=   r&   r>   r8   r"   r"   r#   r9     r<   r@   c                 C   r;   r&   r"   r8   r"   r"   r#   r9     r<   z)setting an array element with a sequence.c                 C   r7   r&   r"   r8   r"   r"   r#   r9     r:   z50 : probability < 0c                   C   rF   rG   r"   r"   r"   r"   r#   r9     r<   rH   zpmf, err, msgc                 C   sT   G dd d}||_ tj||d t|dd W d    d S 1 s#w   Y  d S )Nc                   @   r1  )z/TestDiscreteAliasUrn.test_bad_pmf.<locals>.distNr2  r"   r"   r"   r#   r.     r3  r.   rQ   r7  r   )r   rV   rW   r   )r    r   rX   rY   r.   r"   r"   r#   test_bad_pmf  s
   "z!TestDiscreteAliasUrn.test_bad_pmfr   )r0   r/   r1   )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)dtyper^   rn   r   r   )weightsrO   )
r   asarrayfloat64r   ra   r   r   lenaverager   )r    r   rp   variates
m_expected
v_expectedmv_expectedr"   r"   r#   test_sampling_with_pv  s   
z*TestDiscreteAliasUrn.test_sampling_with_pvpv, msgc                 C   <   t jt|d t| W d    d S 1 sw   Y  d S NrQ   rV   rW   rw   r   r    r   rY   r"   r"   r#   test_bad_pv     
"z TestDiscreteAliasUrn.test_bad_pvr   rS   c                 C   H   t jtdd ttdd|d W d    d S 1 sw   Y  d S Nzmust be finiterQ   r6   rJ   r   )rV   rW   rw   r   r   r   r    rS   r"   r"   r#   test_inf_domain     "z$TestDiscreteAliasUrn.test_inf_domainc                 C   sD   t jtdd tddgdd W d    d S 1 sw   Y  d S )Nzrelative urn size < 1.rQ   r  r	  )
urn_factor)rV   r   r   r   r
  r"   r"   r#   test_bad_urn_factor  s   "z(TestDiscreteAliasUrn.test_bad_urn_factorc                 C   sN   d}G dd d}t jt|d t| W d    d S 1 s w   Y  d S )NzG`domain` must be provided when the probability vector is not available.c                   @   rU  )z0TestDiscreteAliasUrn.test_bad_args.<locals>.distc                 S   s   |S r&   r"   r   r"   r"   r#   r     ry   z4TestDiscreteAliasUrn.test_bad_args.<locals>.dist.pmfN)r+   r,   r-   r   r"   r"   r"   r#   r.     rW  r.   rQ   r  )r    rY   r.   r"   r"   r#   test_bad_args  s
   
"z"TestDiscreteAliasUrn.test_bad_argsN)r+   r,   r-   rj  rV   r   r   r   r.  rw   	NameErrorr   	TypeErrorbad_pmfrr  r~  bad_pv_commonr  r   rC   
inf_domainr  r  r  r"   r"   r"   r#   rd  w  sR    



$
rd  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
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jgZ&ejd8e%d9d: Z'ejd;e&d<d= Z(d>d? Z)d@dA Z*dBS )CTestNumericalInversePolynomialc                   @   r   )z$TestNumericalInversePolynomial.dist0c                 C   r   r   r"   r   r"   r"   r#   r$     r  z(TestNumericalInversePolynomial.dist0.pdfc                 C   r  r  r"   r   r"   r"   r#   r(     r  z(TestNumericalInversePolynomial.dist0.cdfc                 C   rF   r  r"   r
  r"   r"   r#   r     ry   z,TestNumericalInversePolynomial.dist0.supportNr+   r,   r-   r$   r(   r   r"   r"   r"   r#   r    r  r  c                   @   s   e Zd Zdd Zdd ZdS )z$TestNumericalInversePolynomial.dist1c                 C   r  r  r  r   r"   r"   r#   r$     r  z(TestNumericalInversePolynomial.dist1.pdfc                 C   r  r  r  r   r"   r"   r#   r(     r  z(TestNumericalInversePolynomial.dist1.cdfN)r+   r,   r-   r$   r(   r"   r"   r"   r#   r    s    r  c                   @   r   )z$TestNumericalInversePolynomial.dist2c                 C   s    dddt dt j |    S )N皙??rN   rO   r   sinr   r   r"   r"   r#   r$     s    z(TestNumericalInversePolynomial.dist2.pdfc                 C   sD   d|d  dddt j d|   t dt j |   dt j   S )Nr  rN   g?r   r   rs  r   r   cosr   r"   r"   r#   r(     s
   
,z(TestNumericalInversePolynomial.dist2.cdfc                 C   rF   r  r"   r
  r"   r"   r#   r     ry   z,TestNumericalInversePolynomial.dist2.supportNr  r"   r"   r"   r#   r&    r{   r&  c                   @   r   )z$TestNumericalInversePolynomial.dist3c                 C   s$   ddddt dt j |     S )NrJ   r  r  rN   rO   r  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=
?rO   r6   r  r   r"   r"   r#   r(     s   $z(TestNumericalInversePolynomial.dist3.cdfc                 C   rF   )N)r   r"   r
  r"   r"   r#   r     ry   z,TestNumericalInversePolynomial.dist3.supportNr  r"   r"   r"   r#   dist3  s    r  rI   r(  r  gܿUUUUUU?gQ?rO   g @r)  c                 C   s   t |dd}t||| d S r*  )r	   r   r    r.   r   rp   r"   r"   r#   r.  #  s   z)TestNumericalInversePolynomial.test_basicrh  c           	      C   s   g d}g d}dg}||v rt d|  ||v r#t d|  t|tr-tt|n|}|| }t }|t t	|dd}W d    n1 sLw   Y  ||v rWd S t
||| | g d S )N)anglit
gausshyperkappa4ksonekstwolevy_llevy_stablestudentized_range	trapezoidtriangvonmises)	chi2fatiguelifegibrathalfgennormlognormncfncx2paretotrel_breitwignerzPINV too slow for zPINV fails for r+  rn   )rV   rk  rl  rm  rT   r   r   r,  r   r	   r   r   r   )	r    ro  rp  very_slow_dists
fail_distsskip_sample_moment_checkr.   r-  rp   r"   r"   r#   test_basic_all_scipy_dists)  s&   
z9TestNumericalInversePolynomial.test_basic_all_scipy_distsr0  c                 C   X   G dd d}||_ tj||d t|ddgd W d    d S 1 s%w   Y  d S )Nc                   @   r1  )z9TestNumericalInversePolynomial.test_bad_pdf.<locals>.distNr2  r"   r"   r"   r#   r.   M  r3  r.   rQ   r   r   r   )r$   rV   rW   r	   r5  r"   r"   r#   r6  K  
   "z+TestNumericalInversePolynomial.test_bad_pdfzlogpdf, err, msgc                 C   r  )Nc                   @   r1  )z<TestNumericalInversePolynomial.test_bad_logpdf.<locals>.distNr2  r"   r"   r"   r#   r.   U  r3  r.   rQ   r   r   r   )logpdfrV   rW   r	   )r    r  rX   rY   r.   r"   r"   r#   test_bad_logpdfS  r  z.TestNumericalInversePolynomial.test_bad_logpdfrP   c                 C   r9  r:  )rV   rW   r	   r   r;  r"   r"   r#   r<  ]  r=  z3TestNumericalInversePolynomial.test_inf_nan_domainsr   rN   '  r   r  r   rJ   rK   rI  r   c                 C      t  }t|dd}t +}|td |td |td |td ||}tj|}W d    n1 s:w   Y  t||ddd |j	|j	ksOJ d S 	N+=u_resolutionrK  rL  rM  rN  gdy=r   )
r   r	   r   r,  r   r   r   r   r   r   r    r   r.   rp   r-  rQ  rR  r"   r"   r#   test_ppfq     
	z'TestNumericalInversePolynomial.test_ppfrC  r6   r5   r   r!   c                 C   r  r  )
r   r	   r   r,  r   r(   r   r   r   r   )r    r!   r.   rp   r-  rQ  rR  r"   r"   r#   test_cdf  r  z'TestNumericalInversePolynomial.test_cdfc                 C   sj   t  }t|dd}| \}}|dk sJ ||ksJ t|dd}| \}}|dk s-J ||ks3J d S Ng|=r  r  )r   r	   u_error)r    r.   rp   	max_errormaer"   r"   r#   test_u_error  s   z+TestNumericalInversePolynomial.test_u_errorg      @   g#B;orderc                 C   sJ   t  }d}tjt|d t||d W d    d S 1 sw   Y  d S )Nz2`order` must be an integer in the range \[3, 17\].rQ   r  )r   rV   rW   rw   r	   )r    r  r.   rY   r"   r"   r#   test_bad_orders  s
   "z.TestNumericalInversePolynomial.test_bad_ordersr  c                 C   sF   d}t jt|d tt |d W d    d S 1 sw   Y  d S )Nz.`u_resolution` must be between 1e-15 and 1e-5.rQ   r  )rV   rW   rw   r	   r   )r    r  rY   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 s"w   Y  t }t|}d}t jt|d |d W d    n1 sGw   Y  G dd d}| }t|}d	}t jt|d |  W d    d S 1 ssw   Y  d S )
Nc                   @   rU  )z=TestNumericalInversePolynomial.test_bad_args.<locals>.BadDistc                 S   s   t j|S r&   r  r   r"   r"   r#   r(     r  zATestNumericalInversePolynomial.test_bad_args.<locals>.BadDist.cdfN)r+   r,   r-   r(   r"   r"   r"   r#   BadDist  rW  r  z9Either of the methods `pdf` or `logpdf` must be specifiedrQ   z4`sample_size` must be greater than or equal to 1000.r6   c                   @   rU  )zBTestNumericalInversePolynomial.test_bad_args.<locals>.Distributionc                 S   s   t d| | S )Nr   )r   r   r   r"   r"   r#   r$     s   zFTestNumericalInversePolynomial.test_bad_args.<locals>.Distribution.pdfNrV  r"   r"   r"   r#   rz     rW  rz   z!Exact CDF required but not found.)rV   rW   rw   r	   r   r  )r    r  r.   rY   rp   rz   r"   r"   r#   r    s&   

"z,TestNumericalInversePolynomial.test_bad_argsc                 C   sh   G dd d}| }dd |_ t|}| }dd |_t|}tjdddd	}t|||| d S )
Nc                   @   r1  )zJTestNumericalInversePolynomial.test_logpdf_pdf_consistency.<locals>.MyDistNr2  r"   r"   r"   r#   MyDist  r3  r  c                 S   s   t |  |  d S NrO   )mathr   r8   r"   r"   r#   r9     s    zLTestNumericalInversePolynomial.test_logpdf_pdf_consistency.<locals>.<lambda>c                 S   s   |  |  d S r  r"   r8   r"   r"   r#   r9     s    rO  gwJ?r`   r   )r$   r	   r  r   r   r   r   )r    r  dist_pdfrg   dist_logpdfrh   qr"   r"   r#   test_logpdf_pdf_consistency  s   

z:TestNumericalInversePolynomial.test_logpdf_pdf_consistencyN)+r+   r,   r-   r  r  r&  r  rY  rZ  r[  r   r   r\  r]  r^  rV   r   r   r_  r.  xslowr   r  ra  r6  bad_logpdfs_commonr  rc  r<  r   rE   rC   r   r  r!   r  r  
bad_ordersbad_u_resolutionr  r  r  r  r"   r"   r"   r#   r    s^    
 

	

"


r  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                   @   r   )
z!TestNumericalInverseHermite.dist0c                 C   s   ddt dt j |   S )Nr  r   r   r  r   r"   r"   r#   r$     s   z%TestNumericalInverseHermite.dist0.pdfc                 C   s   t jt dt j |  S )Nr   r  r   r"   r"   r#   r%     r  z&TestNumericalInverseHermite.dist0.dpdfc                 C   s4   ddt j d|   t dt j |  dt j  S )Nr   r   rN   rs  r  r   r"   r"   r#   r(     s   4z%TestNumericalInverseHermite.dist0.cdfc                 C   rF   r  r"   r
  r"   r"   r#   r     ry   z)TestNumericalInverseHermite.dist0.supportNr  r"   r"   r"   r#   r    r  r  c                   @   r   )
z!TestNumericalInverseHermite.dist1c                 C   s\   |dkrt dt j | d t j S |dk rdS |dkr,t dt j | d t j S d S )Nr   r   r  rI   r  r   r"   r"   r#   r$     s   z%TestNumericalInverseHermite.dist1.pdfc                 C   s`   |dkrt dt j | t j t j S |dk rdS |dkr.t dt j | t j t j S d S )Nr   r   rI   r  r   r  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 rdS |dkr*ddt dt j |   S d S )Nr   g      ?rN   r   rI   r  r  r  r   r"   r"   r#   r(     s   z%TestNumericalInverseHermite.dist1.cdfc                 C   rF   )N)r	  r  r"   r
  r"   r"   r#   r     ry   z)TestNumericalInverseHermite.dist1.supportNr  r"   r"   r"   r#   r    s
    r  r	  rO   r  rN   r   g      пg      ?g      ?r)  r  r5   r   c                 C   s   t ||dd}t||| d S )Nr+  )r  r_   )r
   r   )r    r.   r   r  rp   r"   r"   r#   r.    s   z&TestNumericalInverseHermite.test_basicrP   c                 C   r9  r:  )rV   rW   r
   r   r;  r"   r"   r#   r<  (  r=  z0TestNumericalInverseHermite.test_inf_nan_domainsc           
   	   C   s   h d}h d}||v rt d ||v rt d tjd tt|| }t|}tj	d}t
t|||| t|| }t
t|||| }	|dk s_J |	dk seJ d S )	N>   r  r  skewnormr  >   r  nctbetawaldr  invgaussr  r  geninvgaussnorminvgaussgenhyperbolicr  zDistribution is too slowz)Fails - usually due to inaccurate CDF/PDFr   r6   :0yE>r   )rV   rk  r   r   rb   rc   rT   r   r
   randmaxr  r   r(   )
r    ro  shapes
slow_distsr  r.   fnir!   p_tolu_tolr"   r"   r#   basic_test_all_scipy_dists-  s   

0 z6TestNumericalInverseHermite.basic_test_all_scipy_distszignore::RuntimeWarning)ro  r  c                 C   s   |  || d S r&   r  )r    ro  r  r"   r"   r#   r  F  s   z6TestNumericalInverseHermite.test_basic_all_scipy_distsc                 C   s   |  dd d S )N	truncnorm)r   rO   r  r
  r"   r"   r#   test_basic_truncnorm_gh17155N  s   z8TestNumericalInverseHermite.test_basic_truncnorm_gh17155c                 C   s   d}t jt|d tt dd W d    n1 sw   Y  d}t jt|d td W d    n1 s8w   Y  d}t jt|d tt dd	 W d    d S 1 sYw   Y  d S )
Nz"`order` must be either 1, 3, or 5.rQ   rO   r  z`cdf` required but not foundr   z!could not convert string to floatekkir  )rV   rW   rw   r
   r   )r    rR   r"   r"   r#   r   R  s   
"z1TestNumericalInverseHermite.test_input_validationNr   )   )r  )r   r      r  rp   r   c           
      C   st   t  }t|}t|}|j||d}|d ur|j|ksJ |d ur8t|}|j|d}tj	|}	t
||	 d S d S )N)r   r_   )r   )r   r
   r   ra   r   r   r   r   r   r   r   )
r    rp   r   r   r.   r  rh   ra   r   rj   r"   r"   r#   test_RVSd  s   z$TestNumericalInverseHermite.test_RVSc                 C   sZ   d}d}t jt|d ttj|  W d    n1 sw   Y  ttj| dd d S )N)gdsz@g@e?zg98 : one or more intervals very short; possibly due to numerical problems with a pole or very flat tailrQ   r  r  )rV   r   r   r
   r   r  )r    r  rR   r"   r"   r#   test_inaccurate_CDFu  s   z/TestNumericalInverseHermite.test_inaccurate_CDFc                 C   s<   t  }t|}t }t|}t|jdd|jdd d S )Nr   rn   )r   r
   r   r   r   ra   )r    r  fni1r&  fni2r"   r"   r#   test_custom_distribution  s
   z4TestNumericalInverseHermite.test_custom_distributionrI   r   r  r   r  r   rJ   rK   rI  r   c                 C   s   t  }t|dd}t +}|td |td |td |td ||}tj|}W d    n1 s:w   Y  t||ddd	 |j	|j	ksOJ d S )
Nr   r  rK  rL  rM  rN  g&.>gLa㧝=r   )
r   r
   r   r,  r   r   r   r   r   r   r  r"   r"   r#   r    r  z$TestNumericalInverseHermite.test_ppfc                 C   s   t  }t|dd}| \}}|dk sJ ||ksJ t }|t t|dd}W d    n1 s4w   Y  | \}}|dk sEJ ||ksKJ d S r  )r   r
   r  r   r,  r   )r    r.   rp   r  r  r-  r"   r"   r#   r    s   
z(TestNumericalInverseHermite.test_u_error))r+   r,   r-   r  r  rY  r   r   rZ  r[  r^  rV   r   r   r_  r.  rc  r<  r  filterwarningsr  r   r  r  r   rb   rd   rngsappendr   r   r   r  r  r  r   rE   rC   r   r  r  r"   r"   r"   r#   r    sN    & 




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>   re  rf  rg  c                 C   P   g d}t j }tt t||dd W d    d S 1 s!w   Y  d S )Nr   g333333?g333333?r4   r_   guide_factorr   rb   r   rV   r   r   r   r    r   r   r"   r"   r#   $test_guide_factor_gt3_raises_warning  
   
"z;TestDiscreteGuideTable.test_guide_factor_gt3_raises_warningc                 C   r  )Nr   r   r  r  r  r"   r"   r#   %test_guide_factor_zero_raises_warning  r  z<TestDiscreteGuideTable.test_guide_factor_zero_raises_warningc                 C   r  )Nr   r	  r  r  r  r"   r"   r#   )test_negative_guide_factor_raises_warning  s
   
"z@TestDiscreteGuideTable.test_negative_guide_factor_raises_warningrh  c           
      C   ri  )NzYDGT fails on these probably because of large domains and small computation errors in PMF.rN   r   z$DGT only works with a finite domain.r   r+  rn   )rj  rV   rk  rl  rm  rT   r   r   r   r   r   r   r   r   rn  r"   r"   r#   r.    s   






z!TestDiscreteGuideTable.test_basicr   rN   r  r   r  r   rJ   rK   rI  r   c           	      C   s   d\}}t ||}t|dd}t -}|td |td |td |td ||}t j|||}W d    n1 sCw   Y  t|j|j t|| d S )N)r   r   r+  rn   rK  rL  rM  rN  )	r   r   r   r   r,  r   r   r   r   )	r    r   npr.   rp   r-  rQ  rR  r"   r"   r#   r     s   

zTestDiscreteGuideTable.test_ppfr  c                 C   r  r  )rV   rW   rw   r   r  r"   r"   r#   r    r  z"TestDiscreteGuideTable.test_bad_pvrS   c                 C   r  r  )rV   rW   rw   r   r   r   r  r"   r"   r#   r    r  z&TestDiscreteGuideTable.test_inf_domainN)r+   r,   r-   rj  r  r  r  rV   r   r   r   r.  r   r   rE   rC   r   r  r  r  r  r  r"   r"   r"   r#   r    s,    	


$r  c                   @   s   e Zd ZG dd dZededgZdejgZdejgZeegZ	e
jdeee	dd Ze
jded	d
 Zdd ZdS )TestSimpleRatioUniformsc                   @   r   )zTestSimpleRatioUniforms.distc                 C   s   || _ || _d S r&   )r  r2   r  r"   r"   r#   rv   *  s   
z%TestSimpleRatioUniforms.dist.__init__c                 C   r  r  r  r   r"   r"   r#   r$   .  r"  z TestSimpleRatioUniforms.dist.pdfc                 C   r#  r$  r  r   r"   r"   r#   r(   3  r%  z TestSimpleRatioUniforms.dist.cdfN)r+   r,   r-   rv   r$   r(   r"   r"   r"   r#   r.   )  s    r.   rI   r'  r)  c                 C   sF   t ||jdd}t||| t ||j||jdd}t||| d S )Nr+  )r2   r_   )r2   cdf_at_moder_   )r   r2   r   r(   r  r"   r"   r#   r.  A  s   
z"TestSimpleRatioUniforms.test_basicrP   c                 C   r9  r:  )rV   rW   r   r   r;  r"   r"   r#   r<  M  r=  z,TestSimpleRatioUniforms.test_inf_nan_domainsc                 C   sD   t jtdd tt ddd W d    d S 1 sw   Y  d S )Nz`pdf_area` must be > 0rQ   r   r	  )r2   pdf_area)rV   rW   rw   r   r   r
  r"   r"   r#   r  R  s   "z%TestSimpleRatioUniforms.test_bad_argsN)r+   r,   r-   r.   rY  r   rC   r[  r\  r^  rV   r   r   r_  r.  rc  r<  r  r"   r"   r"   r#   r  %  s    




r  )Hr   r   rV   copyr   r   r   r  numpyr   numpy.testingr   r   r   scipy.stats.samplingr   r   r   r	   r
   r   r   scipyr   r   scipy.statsr   r   scipy.stats._distr_paramsr   r   scipy._lib._utilr   r   all_methodsimplementationnameversionfloaterrr  r  ra  rb  r  rE   rC   r  rw   bad_sized_domainsbad_domainsrc  nan_domainsr   r   r]   rm   rq   r   r   r   r   r   r   r   r   r   r   rd  r  r  r  r  r"   r"   r"   r#   <module>   s    $		
	
1




[ ?n   Wi