o
    i                  	   @   sR  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mZ d dl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/d0ggd1fd2d3e	j/d4gd5fd2d3e	j0d4gd5fd0d0gd6fgZ1d7e2d8fd9e2d8fgZ3d:ed;fd<ed;fgZ4d=ed;fe	j0e	j0fed;fe	j0 e	j0 fed;fe	j0e	j0 fed;fe	j0 e	j/fe2d>fe	j/e	j0fe2d>fgZ5d e	j/fe2d>fe	j/e	j/fe2d>fgZ6ej78d?e4e3 e6 ej78d@e%dAdB Z9ej78d@e%dCdD Z:dEdF Z;dGdH Z<ej78d@e%dIdJ Z=ej78dKg dLdMdN Z>dOdP Z?dndSdTZ@dodVdWZAdXdY ZBej78dZg d[d\d] ZCej78dZddgG d^d_ d_ZDG d`da daZEG dbdc dcZFG ddde deZGG dfdg dgZHG dhdi diZIG djdk dkZJG dldm dmZKdS )p    N)deepcopy)assert_allcloseassert_equalsuppress_warnings)TransformedDensityRejectionDiscreteAliasUrnDiscreteGuideTableNumericalInversePolynomialNumericalInverseHermiteRatioUniformsSimpleRatioUniformsUNURANError)raises)stats)special)	chisquarecramervonmises)distdiscretedistcont)check_random_statec                   @   $   e Zd Zdd Zdd Zdd ZdS )StandardNormalc                 C   s&   dt dt j  t d| |  S N      ?       @      ࿩npsqrtpiexpselfx r$   Y/home/kim/smarthome/.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   Z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$   r%   <lambda>@       r:   z...c                 C      g S r(   r$   r9   r$   r$   r%   r:   B       c                 C      t S r(   foor9   r$   r$   r%   r:   D   r=   name 'foo' is not definedc                 C      t jS r(   r   infr9   r$   r$   r%   r:   F   r;   c                 C   rB   r(   r   nanr9   r$   r$   r%   r:   H   r;   c                   C      dS Nr   r$   r$   r$   r$   r%   r:   J   r=   ,takes 0 positional arguments but 1 was givenc                 C   rB   r(   rC   r9   r$   r$   r%   r:   Q   r;   c                 C   rB   r(   rE   r9   r$   r$   r%   r:   S   r;   c                 C   r<   r(   r$   r9   r$   r$   r%   r:   U   r=   c                 C   r>   r(   r?   r9   r$   r$   r%   r:   W   r=   c                   C   rG   rH   r$   r$   r$   r$   r%   r:   Y   r=   c                 C   r<   r(   r$   r9   r$   r$   r%   r:   `   r=   c                 C   r>   r(   r?   r9   r$   r$   r%   r:   b   r=   c                 C   rB   r(   rC   r9   r$   r$   r%   r:   d   r;   c                 C   rB   r(   rE   r9   r$   r$   r%   r:   f   r;   c                   C   rG   rH   r$   r$   r$   r$   r%   r:   h   r=   z!must contain at least one elementr           z0wrong number of dimensions \(expected 1, got 2\)皙?皙?r2   )must contain only finite / non-nan values(must contain at least one non-zero value)      r6   zmust be a length 2 tupler$   )rP   rO   zleft >= right)rO   rO   )r7   r7   zonly non-nan valuesdomain, err, msgzmethod, kwargsc                 C   sV   t tj|}tj||d |di |d| i W d    d S 1 s$w   Y  d S )Nmatchdomainr$   )getattrr   samplingpytestr   )rT   errmsgmethodkwargsMethodr$   r$   r%   test_bad_domain   s   "r]   c           
      C   s  t tj| }d}|di |d|i}|di |d|i}t|d|d tjd |di |}|d}tjd  |di |ddi}|d}t|| tjtj	d}tj
tj	d}	|di |d|i}|di |d|	i}t|d|d d S )N{   random_stated   r$   )rU   r   rV   r   rvsr   randomseedRandomStateZMT19937	Generator)
rZ   r[   r\   rc   rng1rng2rvs1rvs2Zseed1Zseed2r$   r$   r%   test_random_state   s"   


rj   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   Zset_random_stater   ra   )rf   rg   rngrh   ri   r$   r$   r%   test_set_random_state   s   




rm   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"   rq   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@)
ValueErrorrq   r!   r$   r$   r%   r&      s   
z2test_threading_behaviour.<locals>.Distribution.pdfc                 S   rG   NrO   r$   r!   r$   r$   r%   r'         z3test_threading_behaviour.<locals>.Distribution.dpdfN)r,   r-   r.   rr   r&   r'   r$   r$   r$   r%   Distribution       rv   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@   r7   r`      rT   r_   順 r   rn   r   ra   rs   argsr/   rl   erv   errorsr$   r%   func1      z'test_threading_behaviour.<locals>.func1c               
      rx   )Nbarry   rP   r{   r|   r   ro   r}   r   r   r$   r%   func2   r   z'test_threading_behaviour.<locals>.func2)targetrn   r@   ro   r   )	threadingThreadstartjoin)r   r   t1t2r$   r   r%   test_threading_behaviour   s   
		r   c                 C   sP   t tj| }|di |ddi}t|}t|}t|d|d d S )Nr_   r^   r`   r$   )rU   r   rV   pickledumpsloadsr   ra   )rZ   r[   r\   rf   objrg   r$   r$   r%   test_pickle   s
   

r   size)Nr   )r   rO   )r7   r6   )rP   r6         )r   r   )r   rO   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   Zisscalarra   shape)r   rl   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   rk   rO   r`   num      $@      @)locscaler7   rK   )r   normr   rb   default_rngr
   linspacecheck_cont_samplesr   ppfbinomr   supportpmfarangecheck_discr_samples)r/   urngrl   urT   pvr$   r$   r%   test_with_scipy_distribution  s   r   Hz>皙?c                 C   sn   |  d}| | f}t|d rt||||d |  d}t|j|_t||jj	}|dks5J d S )Nr|   rO   rtolatoli  r   )
ra   meanvarr   isfiniter   Z	vectorizer)   r   pvalue)rl   r/   mv_exr   r   ra   mvpvalr$   r$   r%   r   )  s   

r   MbP?c                 C   s   |  d}| | f}t||||d ||  }t|}tj|dd\}}	|	|	  }	|	|d |	j< t	||j
}
|
dksBJ d S )Nr|   r   T)Zreturn_countsr   )ra   r   r   r   sumr   Z
zeros_likeuniquer   r   r   )rl   r   r   r   r   ra   r   Z	obs_freqs_Zfreqsr   r$   r$   r%   r   6  s   

r   c                  C   s   d} t jt| d tt ddd W d    n1 sw   Y  t jt| d tt dd W d    d S 1 s;w   Y  d S )Nz.102 : center moved into domain of distributionrR   r   r6   r   )centerrT   rT   )rW   warnsRuntimeWarningr	   r   )rY   r$   r$   r%   !test_warning_center_not_in_domainF  s   "r   rZ   )r   r	   r   c                 C   sT   t tj| }d}tjt|d |t ddd W d    d S 1 s#w   Y  d S )Nz17 : mode not in domainrR   r   r   )r3   rT   )rU   r   rV   rW   r   r   r   )rZ   r\   rY   r$   r$   r%   test_error_mode_not_in_domainP  s
   "r   c                   @   s   e Zd Zdd ZdejjdddejjdddgZde	 fdd	d
dgZ
de	 fde	 fdgZejdeejde
ejdedd Zdd ZdS )TestQRVSc                 C   s   d}t jt|d ttj|}|t }|jdd W d    n1 s%w   Y  ttj|}|t }d}t jt|d |jdtj	dd W d    d S 1 sUw   Y  d S )	Nz&`qmc_engine` must be an instance of...rR   r   )
qmc_engine6`d` must be consistent with dimension of `qmc_engine`.r6   rP   dr   )
rW   r   rs   rU   r   rV   r   qrvsqmcHalton)r"   rZ   rS   r\   genr$   r$   r%   test_input_validationa  s   

"zTestQRVS.test_input_validationNrO   r   rc   r6   )rO   rO   )r   r   )r   r   )rP   r   r   )r6   r6   qrngsize_in, size_outzd_in, d_outc                 C   sH  t jdkot d dk}|r|dkrtd t }ttj|}	|	|}
|d urV|d urV|j	|krVd}tj
t|d |
j|||d W d    d S 1 sOw   Y  d S |d u rg|d urg|j	d	krg|j	f}|| }t|}|
j|||d
}|d ur|j|ksJ |d ur|t|pd	}tj||}t||dd d S d S )Nwin32r   32bitr	   z4NumericalInversePolynomial.qrvs fails for Win 32-bitr   rR   r   rO   r   r   r   -q=r   )sysplatformarchitecturerW   xfailr   rU   r   rV   r   r   rs   r   r   r   rb   r   prodr   r   reshaper   )r"   r   size_insize_outZd_inZd_outrZ   Zw32r/   r\   r   rS   Zshape_expectedqrng2r   uniformqrvs2r$   r$   r%   test_QRVS_shape_consistencyw  s4   

z$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)r6   r   r   r   r   r   .r   r   )r   rU   r   rV   r   r   rb   r   r   r   r   r   ranger   r   )r"   rZ   r/   r\   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dsrW   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      ?rO   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   r6   gUUUUUU?r$   r!   r$   r$   r%   r)        z)TestTransformedDensityRejection.dist0.cdfc                 C   rG   N)rO   r$   r"   r$   r$   r%   r     ru   z-TestTransformedDensityRejection.dist0.supportNr,   r-   r.   r&   r'   r)   r   r$   r$   r$   r%   dist0  
    r   c                   @   r   )z%TestTransformedDensityRejection.dist1c                 C      t j|d S Nr   r   r   Z_pdfr!   r$   r$   r%   r&     r   z)TestTransformedDensityRejection.dist1.pdfc                 C   s   | d t j|d  S )N{Gz?r   r  r!   r$   r$   r%   r'        z*TestTransformedDensityRejection.dist1.dpdfc                 C   r   r   r   r   Z_cdfr!   r$   r$   r%   r)     r   z)TestTransformedDensityRejection.dist1.cdfNr+   r$   r$   r$   r%   dist1      r  c                   @   r   )
z%TestTransformedDensityRejection.dist2c                 C   rp   r(   shiftr"   r  r$   r$   r%   rr     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   rJ   r  r  r$   r$   r%   r'     s   
z*TestTransformedDensityRejection.dist2.dpdfc                 C   .   || j 8 }|dkrdd|  S ddd|   S NrJ   r  r   r  r!   r$   r$   r%   r)        
z)TestTransformedDensityRejection.dist2.cdfN)r,   r-   r.   rr   r&   r'   r)   r$   r$   r$   r%   dist2  s
    r  rJ        @?r  dist, mv_exc                 C   sL   t  }|t t|dd}W d    n1 sw   Y  t||| d S N*   rk   )r   filterr   r   r   )r"   r/   r   suprl   r$   r$   r%   
test_basic  s
   
z*TestTransformedDensityRejection.test_basicc                 C   rG   )Nr   r$   r9   r$   r$   r%   r:     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$   r%   r/         r/   c                 S   rG   rt   r$   r9   r$   r$   r%   r:   	  r=   z>TestTransformedDensityRejection.test_bad_pdf.<locals>.<lambda>rR   r&   r'   rW   r   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                   @   r   )z;TestTransformedDensityRejection.test_bad_dpdf.<locals>.distNr!  r$   r$   r$   r%   r/     r"  r/   c                 S   s   | S r(   r$   r9   r$   r$   r%   r:     r=   z?TestTransformedDensityRejection.test_bad_dpdf.<locals>.<lambda>rR   rO   r7   r   r#  )r"   r'   rX   rY   r/   r$   r$   r%   test_bad_dpdf  s   
"z-TestTransformedDensityRejection.test_bad_dpdfrQ   c                 C   B   t j||d tt |d W d    d S 1 sw   Y  d S NrR   r   )rW   r   r   r   r"   rT   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.rR   r-  rW   r   rs   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.rR   r.  )rO   rO   rO   rO   rO   rO   z:33 : starting points not strictly monotonically increasingr  r7   z!50 : starting point out of domain)r6   )rT   r-  )
rW   r   rs   r   r   r   r   r   rF   r   r0  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.rR   r6  )r5  r/  )r"   r5  rY   r$   r$   r%   
test_bad_cI  s   "z*TestTransformedDensityRejection.test_bad_cr   rO     r   r  rK   rL   r   r6   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.?)Zmax_squeeze_hat_ratio$invalid value encountered in greater*invalid value encountered in greater_equal!invalid value encountered in less'invalid value encountered in less_equalr   h㈵>r   )r   r   r   r  r   Zppf_hatr   r   r   r   r   )r"   r   rl   r  resexpectedr$   r$   r%   test_ppf_hatS  s   
	z,TestTransformedDensityRejection.test_ppf_hatc                 C   s   G dd d}d}t jt|d t| W d    n1 sw   Y  G dd d}d}t jt|d t| W d    d S 1 sDw   Y  d S )Nc                   @   r   );TestTransformedDensityRejection.test_bad_dist.<locals>.distNr!  r$   r$   r$   r%   r/   i  r"  r/   z`pdf` required but not found.rR   c                   @      e Zd Zdd ZdS )rB  c                 S   s   d| |   S rt   r$   r9   r$   r$   r%   r:   r      zDTestTransformedDensityRejection.test_bad_dist.<locals>.dist.<lambda>Nr,   r-   r.   r&   r$   r$   r$   r%   r/   q      z`dpdf` required but not found.)rW   r   rs   r   )r"   r/   rY   r$   r$   r%   test_bad_distg  s   

"z-TestTransformedDensityRejection.test_bad_distN)#r,   r-   r.   r   r  r  distsmv0mv1r   rD   mv2mv3mvsrW   r   r   zipr  r   Zbad_pdfsbad_pdfs_commonr%  bad_dpdf_commonr'  inf_nan_domainsr+  r1  r4  rF   r7  r   r   rA  rG  r$   r$   r$   r%   r     sD    







$

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$d% Zd&d' Zd(S ))TestDiscreteAliasUrn>   randintnchypergeom_fishernchypergeom_walleniusdistname, paramsc           
      C      || j v rd}t| t|ts|}ntt|}|| }| }t	|d |d  s1td t
|d |d d }||}|d}t|dd}	t|	|| d S )NzYDAU fails on these probably because of large domains and small computation errors in PMF.rO   r   z$DAU only works with a finite domain.r   r  rk   )basic_fail_distsrW   skip
isinstancestrrU   r   r   r   r   r   r   r   r   
r"   distnameparamsrY   r/   rT   kr   r   rl   r$   r$   r%   r    s   






zTestDiscreteAliasUrn.test_basicc                 C   rB   r(   rC   r9   r$   r$   r%   r:     r;   zTestDiscreteAliasUrn.<lambda>rM   c                 C   rB   r(   rE   r9   r$   r$   r%   r:     r;   c                 C   rG   )NrJ   r$   r9   r$   r$   r%   r:     r=   rN   c                 C   r>   r(   r?   r9   r$   r$   r%   r:     r=   rA   c                 C   r<   r(   r$   r9   r$   r$   r%   r:     r=   z)setting an array element with a sequence.c                 C   r8   r(   r$   r9   r$   r$   r%   r:     r;   z50 : probability < 0c                   C   rG   rH   r$   r$   r$   r$   r%   r:     r=   rI   zpmf, err, msgc                 C   sT   G dd d}||_ tj||d t|dd W d    d S 1 s#w   Y  d S )Nc                   @   r   )z/TestDiscreteAliasUrn.test_bad_pmf.<locals>.distNr!  r$   r$   r$   r%   r/     r"  r/   rR   r&  r   )r   rW   r   r   )r"   r   rX   rY   r/   r$   r$   r%   test_bad_pmf  s
   "z!TestDiscreteAliasUrn.test_bad_pmfr   )r1   r0   r2   )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dtyper^   rk   r|   r   )weightsrP   )
r   ZasarrayZfloat64r   ra   r   r   lenZaverager   )r"   r   rl   ZvariatesZ
m_expectedZ
v_expectedZ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 NrR   rW   r   rs   r   r"   r   rY   r$   r$   r%   test_bad_pv     
"z TestDiscreteAliasUrn.test_bad_pvr   rT   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 finiterR   r7   rK   r   )rW   r   rs   r   r   r   r"   rT   r$   r$   r%   test_inf_domain     "z$TestDiscreteAliasUrn.test_inf_domainc                 C   sD   t jtdd tddgdd W d    d S 1 sw   Y  d S )Nzrelative urn size < 1.rR   r  r   )Z
urn_factor)rW   r   r   r   r   r$   r$   r%   test_bad_urn_factor  s   "z(TestDiscreteAliasUrn.test_bad_urn_factorc                 C   sN   d}G dd d}t jt|d t| W d    d S 1 s w   Y  d S )NzG`domain` must be provided when the probability vector is not available.c                   @   rC  )z0TestDiscreteAliasUrn.test_bad_args.<locals>.distc                 S   s   |S r(   r$   r!   r$   r$   r%   r     ru   z4TestDiscreteAliasUrn.test_bad_args.<locals>.dist.pmfN)r,   r-   r.   r   r$   r$   r$   r%   r/     rF  r/   rR   rh  )r"   rY   r/   r$   r$   r%   test_bad_args  s
   
"z"TestDiscreteAliasUrn.test_bad_argsc                 C   s0   t td}t|dd}t||ddd d S )N)i  r  rk   )g     @g    
Ag{Gzt?)r   )r   Zsoftmaxr   Zonesr   r   )r"   r   rl   r$   r$   r%   test_gh19359  s
   
z!TestDiscreteAliasUrn.test_gh19359N)r,   r-   r.   rX  rW   r   r   r   r  rs   	NameErrorr   	TypeErrorZbad_pmfr`  rd  bad_pv_commonrj  r   rD   
inf_domainro  rq  rr  rs  r$   r$   r$   r%   rR  y  sT    



$
rR  c                   @   s`  e Zd ZG dd dZG dd dZG dd dZG dd dZe e e e gZd	d
gZd	dgZ	de
j dde
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j dde
jd   gZee	eegZejdeeedd Zejjejdedd Zejdedd Zejdedd Zejdedd Ze
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jgZ'ejd8e&d9d: Z(ejd;e'd<d= Z)d>d? Z*d@dA Z+dBS )CTestNumericalInversePolynomialc                   @   r   )z$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   rG   r   r$   r   r$   r$   r%   r     ru   z,TestNumericalInversePolynomial.dist0.supportNr,   r-   r.   r&   r)   r   r$   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$TestNumericalInversePolynomial.dist2c                 C   s    dddt dt j |    S )N皙??rO   rP   r   sinr   r!   r$   r$   r%   r&     s    z(TestNumericalInversePolynomial.dist2.pdfc                 C   sD   d|d  dddt j d|   t dt j |   dt j   S )Nrz  rO   g?r   r   ra  r   r   cosr!   r$   r$   r%   r)     s
   
,z(TestNumericalInversePolynomial.dist2.cdfc                 C   rG   r   r$   r   r$   r$   r%   r     ru   z,TestNumericalInversePolynomial.dist2.supportNry  r$   r$   r$   r%   r    rw   r  c                   @   r   )z$TestNumericalInversePolynomial.dist3c                 C   s$   ddddt dt j |     S )NrK   rz  r{  rO   rP   r|  r!   r$   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=
?rP   r7   r~  r!   r$   r$   r%   r)     s   $z(TestNumericalInversePolynomial.dist3.cdfc                 C   rG   )N)r   r$   r   r$   r$   r%   r      ru   z,TestNumericalInversePolynomial.dist3.supportNry  r$   r$   r$   r%   dist3  s    r  rJ   r  r  gܿUUUUUU?gQ?rP   g @r  c                 C   s   t |dd}t||| d S r  )r	   r   r"   r/   r   rl   r$   r$   r%   r  ,  s   z)TestNumericalInversePolynomial.test_basicrV  c           	      C   s   g d}g d}dg}||v rt d|  ||v r#t d|  t|tr-tt|n|}|| }t }|t t	|dd}W d    n1 sLw   Y  ||v rWd S t
||| | g d S )N)Zanglit
gausshyperkappa4ksonekstwoZlevy_llevy_stablestudentized_rangeZ	trapezoidZtriangvonmises)	Zchi2ZfatiguelifeZgibratZhalfgennormZlognormncfZncx2ZparetotZrel_breitwignerzPINV too slow for zPINV fails for r  rk   )rW   rY  rZ  r[  rU   r   r   r  r   r	   r   r   r   )	r"   r]  r^  Zvery_slow_dists
fail_distsZskip_sample_moment_checkr/   r  rl   r$   r$   r%   test_basic_all_scipy_dists2  s&   
z9TestNumericalInversePolynomial.test_basic_all_scipy_distsr  c                 C   X   G dd d}||_ tj||d t|ddgd W d    d S 1 s%w   Y  d S )Nc                   @   r   )z9TestNumericalInversePolynomial.test_bad_pdf.<locals>.distNr!  r$   r$   r$   r%   r/   V  r"  r/   rR   r   r   r   )r&   rW   r   r	   r$  r$   r$   r%   r%  T  
   "z+TestNumericalInversePolynomial.test_bad_pdfzlogpdf, err, msgc                 C   r  )Nc                   @   r   )z<TestNumericalInversePolynomial.test_bad_logpdf.<locals>.distNr!  r$   r$   r$   r%   r/   ^  r"  r/   rR   r   r   r   )logpdfrW   r   r	   )r"   r  rX   rY   r/   r$   r$   r%   test_bad_logpdf\  r  z.TestNumericalInversePolynomial.test_bad_logpdfrQ   c                 C   r(  r)  )rW   r   r	   r   r*  r$   r$   r%   r+  f  r,  z3TestNumericalInversePolynomial.test_inf_nan_domainsr   rO   '  r   r  r   rK   rL   r9  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_resolutionr:  r;  r<  r=  gdy=r   )
r   r	   r   r  r   r   r   r   r   r   r"   r   r/   rl   r  r?  r@  r$   r$   r%   test_ppfz     
	z'TestNumericalInversePolynomial.test_ppfr2  r7   r6   r   r#   c                 C   r  r  )
r   r	   r   r  r   r)   r   r   r   r   )r"   r#   r/   rl   r  r?  r@  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/   rl   	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 \[3, 17\].rR   r  )r   rW   r   rs   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.rR   r  )rW   r   rs   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                   @   rC  )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$   r%   BadDist  rF  r  z9Either of the methods `pdf` or `logpdf` must be specifiedrR   z4`sample_size` must be greater than or equal to 1000.r7   c                   @   rC  )zBTestNumericalInversePolynomial.test_bad_args.<locals>.Distributionc                 S   s   t d| | S )Nr   r   r    r!   r$   r$   r%   r&     s   zFTestNumericalInversePolynomial.test_bad_args.<locals>.Distribution.pdfNrE  r$   r$   r$   r%   rv     rF  rv   z!Exact CDF required but not found.)rW   r   rs   r	   r   r  )r"   r  r/   rY   rl   rv   r$   r$   r%   rr    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                   @   r   )zJTestNumericalInversePolynomial.test_logpdf_pdf_consistency.<locals>.MyDistNr!  r$   r$   r$   r%   MyDist  r"  r  c                 S   s   t |  |  d S NrP   )mathr    r9   r$   r$   r%   r:     s    zLTestNumericalInversePolynomial.test_logpdf_pdf_consistency.<locals>.<lambda>c                 S   s   |  |  d S r  r$   r9   r$   r$   r%   r:     s    r>  gwJ?r`   r   )r&   r	   r  r   r   r   r   )r"   r  Zdist_pdfrf   Zdist_logpdfrg   qr$   r$   r%   test_logpdf_pdf_consistency  s   

z:TestNumericalInversePolynomial.test_logpdf_pdf_consistencyN),r,   r-   r.   r   r  r  r  rH  rI  rJ  r   r   rK  rL  rM  rW   r   r   rN  r  xslowr   r  rO  r%  bad_logpdfs_commonr  rQ  r+  r   rF   rD   r   r  r#   r  slowr  Z
bad_ordersZbad_u_resolutionr  r  rr  r  r$   r$   r$   r%   rx    s`    
 

	

"



rx  c                
   @   s  e Zd ZG dd dZG dd dZe e gZddej  ddd	ej ej   gZd
dddej ej   d gZ	ee	gZ
ejdeee
ejdddgdd Zejdedd Zdd Zejdejjejdedd Zejdejddd Zdd Zd d!ejd!gZeejd! d e fd"d#gZ ejd$eejd%e d&d' Z!d(d) Z"d*d+ Z#ej$d,d-d.d/g g gej%gej& ej%ej&gd!ej%d0d1gd2d3ej&gg d4ggZ'ejd5e'd6d7 Z(ejj)d8d9 Z*d S ):TestNumericalInverseHermitec                   @   r   )
z!TestNumericalInverseHermite.dist0c                 C   s   ddt dt j |   S )Nr  r   r   r|  r!   r$   r$   r%   r&     s   z%TestNumericalInverseHermite.dist0.pdfc                 C   s   t jt dt j |  S )Nr   r~  r!   r$   r$   r%   r'     r  z&TestNumericalInverseHermite.dist0.dpdfc                 C   s4   ddt j d|   t dt j |  dt j  S )Nr   r   rO   ra  r~  r!   r$   r$   r%   r)     s   4z%TestNumericalInverseHermite.dist0.cdfc                 C   rG   r   r$   r   r$   r$   r%   r     ru   z)TestNumericalInverseHermite.dist0.supportNr   r$   r$   r$   r%   r     r   r   c                   @   r   )
z!TestNumericalInverseHermite.dist1c                 C   s\   |dkrt dt j | d t j S |dk rdS |dkr,t dt j | d t j S d S )Nr   r   r  rJ   r|  r!   r$   r$   r%   r&     s   z%TestNumericalInverseHermite.dist1.pdfc                 C   s`   |dkrt dt j | t j t j S |dk rdS |dkr.t dt j | t j t j S d S )Nr   r   rJ   r  r   r  r   r!   r$   r$   r%   r'     s     z&TestNumericalInverseHermite.dist1.dpdfc                 C   sX   |dkrddt dt j |   S |dk rdS |dkr*ddt dt j |   S d S )Nr         ?rO   r   rJ   r  r   r  r!   r$   r$   r%   r)     s   z%TestNumericalInverseHermite.dist1.cdfc                 C   rG   )N)r   r  r$   r   r$   r$   r%   r     ru   z)TestNumericalInverseHermite.dist1.supportNr   r$   r$   r$   r%   r    s
    r  r   rP   r  rO   r   g      пg      ?g      ?r  r  r6   r   c                 C   s   t ||dd}t||| d S )Nr  )r  r_   )r
   r   )r"   r/   r   r  rl   r$   r$   r%   r  )  s   z&TestNumericalInverseHermite.test_basicrQ   c                 C   r(  r)  )rW   r   r
   r   r*  r$   r$   r%   r+  2  r,  z0TestNumericalInverseHermite.test_inf_nan_domainsc           
   	   C   s   h d}h d}||v rt d ||v rt d tjd tt|| }t|}tj	d}t
t|||| t|| }t
t|||| }	|dk s_J |	dk seJ d S )	N>   Zskewnormr  r  r  >   r  ZnorminvgaussZgenhyperbolicZinvgaussbetar  r  r  ZnctZgeninvgaussr  ZwaldzDistribution is too slowz)Fails - usually due to inaccurate CDF/PDFr   r7   :0yE>r   )rW   rY  r   r   rb   rc   rU   r   r
   Zrandmaxr  r   r)   )
r"   r]  shapesZ
slow_distsr  r/   fnir#   Zp_tolZu_tolr$   r$   r%   basic_test_all_scipy_dists7  s   

0 z6TestNumericalInverseHermite.basic_test_all_scipy_distszignore::RuntimeWarning)r]  r  c                 C   s   |  || d S r(   r  )r"   r]  r  r$   r$   r%   r  P  s   z6TestNumericalInverseHermite.test_basic_all_scipy_distsc                 C   s   |  dd d S )NZ	truncnorm)r   rP   r  r   r$   r$   r%   test_basic_truncnorm_gh17155X  s   z8TestNumericalInverseHermite.test_basic_truncnorm_gh17155c                 C   s   d}t jt|d tt dd W d    n1 sw   Y  d}t jt|d td W d    n1 s8w   Y  d}t jt|d tt dd	 W d    d S 1 sYw   Y  d S )
Nz"`order` must be either 1, 3, or 5.rR   rP   r  z`cdf` required but not foundr   z!could not convert string to floatZekkir  )rW   r   rs   r
   r   )r"   rS   r$   r$   r%   r   ]  s   
"z1TestNumericalInverseHermite.test_input_validationNr   )   )r  )r   r      r  rl   r   c           
      C   st   t  }t|}t|}|j||d}|d ur|j|ksJ |d ur8t|}|j|d}tj	|}	t
||	 d S d S )N)r   r_   r   )r   r
   r   ra   r   r   r   r   r   r   r   )
r"   rl   r   r   r/   r  rg   ra   r   ri   r$   r$   r%   test_RVSo  s   z$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 tailrR   r  r  )rW   r   r   r
   r   r  )r"   r  rS   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   rk   )r   r
   r   r   r   ra   )r"   r  Zfni1r  Zfni2r$   r$   r%   test_custom_distribution  s
   z4TestNumericalInverseHermite.test_custom_distributionrJ   r   r  r   r  r   rK   rL   r9  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  r:  r;  r<  r=  g&.>gLa㧝=r   )
r   r
   r   r  r   r   r   r   r   r   r  r$   r$   r%   r    r  z$TestNumericalInverseHermite.test_ppfc                 C   s   t  }t|dd}| \}}|dk sJ ||ksJ t }|t t|dd}W d    n1 s4w   Y  | \}}|dk sEJ ||ksKJ d S r  )r   r
   r  r   r  r   )r"   r/   rl   r  r  r  r$   r$   r%   r    s   
z(TestNumericalInverseHermite.test_u_error)+r,   r-   r.   r   r  rH  r   r   rI  rJ  rM  rW   r   r   rN  r  rQ  r+  r  filterwarningsr  r   r  Z	fail_slowr  r   rb   rd   Zrngsappendr   r   r   r  r  r  r   rF   rD   r   r  r  r  r$   r$   r$   r%   r    sR    & 




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>   rS  rT  rU  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?r5   r_   Zguide_factorr   rb   r   rW   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$   r%   )test_negative_guide_factor_raises_warning  s
   
"z@TestDiscreteGuideTable.test_negative_guide_factor_raises_warningrV  c           
      C   rW  )NzYDGT fails on these probably because of large domains and small computation errors in PMF.rO   r   z$DGT only works with a finite domain.r   r  rk   )rX  rW   rY  rZ  r[  rU   r   r   r   r   r   r   r   r   r\  r$   r$   r%   r    s   






z!TestDiscreteGuideTable.test_basicr   rO   r  r   r  r   rK   rL   r9  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  rk   r:  r;  r<  r=  )	r   r   r   r   r  r   r   r   r   )	r"   r   npr/   rl   r  r?  r@  r$   r$   r%   r    s   

zTestDiscreteGuideTable.test_ppfre  c                 C   rf  rg  )rW   r   rs   r   ri  r$   r$   r%   rj  !  rk  z"TestDiscreteGuideTable.test_bad_pvrT   c                 C   rl  rm  )rW   r   rs   r   r   r   rn  r$   r$   r%   ro  +  rp  z&TestDiscreteGuideTable.test_inf_domainN)r,   r-   r.   rX  r  r  r  rW   r   r   r   r  r   r   rF   rD   r   r  rv  rj  rw  ro  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  r3   r	  r$   r$   r%   rr   6  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)   ?  r  z TestSimpleRatioUniforms.dist.cdfN)r,   r-   r.   rr   r&   r)   r$   r$   r$   r%   r/   5  s    r/   rJ   r  r  c                 C   sF   t ||jdd}t||| t ||j||jdd}t||| d S )Nr  )r3   r_   )r3   Zcdf_at_moder_   )r   r3   r   r)   r  r$   r$   r%   r  M  s   
z"TestSimpleRatioUniforms.test_basicrQ   c                 C   r(  r)  )rW   r   r   r   r*  r$   r$   r%   r+  Y  r,  z,TestSimpleRatioUniforms.test_inf_nan_domainsc                 C   sD   t jtdd tt ddd W d    d S 1 sw   Y  d S )Nz`pdf_area` must be > 0rR   r   r   )r3   Zpdf_area)rW   r   rs   r   r   r   r$   r$   r%   rr  ^  s   "z%TestSimpleRatioUniforms.test_bad_argsN)r,   r-   r.   r/   rH  r   rD   rJ  rK  rM  rW   r   r   rN  r  rQ  r+  rr  r$   r$   r$   r%   r  1  s    




r  c                   @   r   )
TestRatioUniformsc                 C   s   t jj}t|tdtd }t|d}t||| |dd}tt |ddd dkd	 td
d dddt	d dd}tt |ddd dkd	 d S )NrP   r   i90  umaxvminvmaxr_   i	  r   rO   r  Tc                 S   s   t |  S r(   r  r9   r$   r$   r%   r:   o  rD  z6TestRatioUniforms.test_rv_generation.<locals>.<lambda>r   r8  Zexpon)
r   r   r&   r   r   r   r   Zkstestra   r    )r"   fvr   r   r$   r$   r%   test_rv_generatione  s    
$z$TestRatioUniforms.test_rv_generationc                 C   s  t jj}t|tdtd }t|d}t||| |dd}t||| |dd}t||| |dd}|d|d|d}}}	t|| t||	  t|j	d t|	j	d t||| |dd}
t||| |dd}|
jd	d
|jdd
}}t| | t|j	d	 t||| |dd}t||| |dd}t||| |dd}| |d|d}}}t|| t|| d S )NrP   r     r  r6   r   )r6   rO   rz   )r6   r6   r6   r     rO   r   )
r   r   r&   r   r   r   ra   r   flattenr   )r"   r  r  r   gen1gen2Zgen3r1r2Zr3Zgen4Zgen5Zr4Zr5Zgen6Zgen7Zgen8Zr6Zr7r8r$   r$   r%   
test_shapes  s,   "
 
zTestRatioUniforms.test_shapec                 C   s   t jj}t|tdtd }t|d}t||| |dd}|d}tjd t||| |d}|d}t	|| d S )NrP   r   r  r  r7   )r  r  r  )
r   r   r&   r   r   r   ra   rb   rc   r   )r"   r  r  r  r  r  r  r  r$   r$   r%   rj     s   

z#TestRatioUniforms.test_random_statec                 C   s   t jj}ttdd t|dddd W d    n1 sw   Y  ttdd t|dddd W d    n1 s;w   Y  ttdd t|dddd W d    n1 sYw   Y  ttdd t|dddd W d    d S 1 sxw   Y  d S )	Nzvmin must be smaller than vmaxrR   rO   r6   )r&   r  r  r  zumax must be positiver   r   )r   r   r&   assert_raisesrs   r   )r"   r  r$   r$   r%   test_exceptions  s   "z!TestRatioUniforms.test_exceptionsN)r,   r-   r.   r  r  rj   r  r$   r$   r$   r%   r  d  s
    r  )r   r   )r   r   )Lr   r   rW   copyr   r   r   r  numpyr   Znumpy.testingr   r   r   Zscipy.stats.samplingr   r   r   r	   r
   r   r   r   r   r  Zscipyr   r   Zscipy.statsr   r   Zscipy.stats._distr_paramsr   r   Zscipy._lib._utilr   r   Zall_methodsimplementationnameversionZfloaterrru  rt  rO  rP  r  rF   rD   rv  rs   Zbad_sized_domainsZbad_domainsrQ  Znan_domainsr   r   r]   rj   rm   r   r   r   r   r   r   r   r   r   r   rR  rx  r  r  r  r  r$   r$   r$   r%   <module>   s    (
	
	
1






[ ?u   Yi3