o
    gE                  	   @   s<  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 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/d0ggd1fd2d3e	j.d4gd5fd2d3e	j/d4gd5fd0d0gd6fgZ0d7e1d8fd9e1d8fgZ2d:ed;fd<ed;fgZ3d=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e1d>fe	j.e	j/fe1d>fgZ4d e	j.fe1d>fe	j.e	j.fe1d>fgZ5ej67d?e3e2 e5 ej67d@e$dAdB Z8ej67d@e$dCdD Z9dEdF Z:dGdH Z;ej67d@e$dIdJ Z<ej67dKg dLdMdN Z=dOdP Z>dQdR Z?dSdT Z@dUdV ZAej67dWg dXdYdZ ZBej67dWddgG d[d\ d\ZCG d]d^ d^ZDG d_d` d`ZEG dadb dbZFG dcdd ddZGG dedf dfZHG dgdh dhZIdS )i    N)deepcopy)assert_allcloseassert_equalsuppress_warnings)NumpyVersion)TransformedDensityRejectionDiscreteAliasUrnDiscreteGuideTableNumericalInversePolynomialNumericalInverseHermiteSimpleRatioUniformsUNURANError)stats)special)	chisquarecramervonmises)distdiscretedistcont)check_random_statec                   @   $   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#   ]/home/ubuntu/cloudmapper/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$   <lambda>?       r:   z...c                 C      g S r'   r#   r9   r#   r#   r$   r:   A       c                 C      t S r'   foor9   r#   r#   r$   r:   C   r=   name 'foo' is not definedc                 C      t jS r'   r   infr9   r#   r#   r$   r:   E   r;   c                 C   rB   r'   r   nanr9   r#   r#   r$   r:   G   r;   c                   C      dS Nr   r#   r#   r#   r#   r$   r:   I   r=   ,takes 0 positional arguments but 1 was givenc                 C   rB   r'   rC   r9   r#   r#   r$   r:   P   r;   c                 C   rB   r'   rE   r9   r#   r#   r$   r:   R   r;   c                 C   r<   r'   r#   r9   r#   r#   r$   r:   T   r=   c                 C   r>   r'   r?   r9   r#   r#   r$   r:   V   r=   c                   C   rG   rH   r#   r#   r#   r#   r$   r:   X   r=   c                 C   r<   r'   r#   r9   r#   r#   r$   r:   _   r=   c                 C   r>   r'   r?   r9   r#   r#   r$   r:   a   r=   c                 C   rB   r'   rC   r9   r#   r#   r$   r:   c   r;   c                 C   rB   r'   rE   r9   r#   r#   r$   r:   e   r;   c                   C   rG   rH   r#   r#   r#   r#   r$   r:   g   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$w   Y  d S )Nmatchdomainr#   )getattrr   samplingpytestraises)rT   errmsgmethodkwargsMethodr#   r#   r$   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RandomStateMT19937	Generator)
r[   r\   r]   rd   rng1rng2rvs1rvs2seed1seed2r#   r#   r$   test_random_state   s"   


rn   c                  C   sr   t t dd} t t }|d t| d|d t t dd}|d}|d |d}t|| d S )Nr_   r`   ra   )r   r   set_random_stater   rb   )rh   ri   rngrj   rk   r#   r#   r$   test_set_random_state   s   




rr   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!   rv   r#   r#   r$   __init__   r*   z7test_threading_behaviour.<locals>.Distribution.__init__c                 S   s(   d|  k r
dk rn |S t | j|S )Ng33333H@g      I@)
ValueErrorrv   r    r#   r#   r$   r%      s   
z2test_threading_behaviour.<locals>.Distribution.pdfc                 S   rG   NrO   r#   r    r#   r#   r$   r&         z3test_threading_behaviour.<locals>.Distribution.dpdfN)r,   r-   r.   rw   r%   r&   r#   r#   r#   r$   Distribution       r{   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   ra      rT   r`   順 r   rs   r   rb   rx   argsr/   rq   er{   errorsr#   r$   func1      z'test_threading_behaviour.<locals>.func1c               
      r}   )Nbarr~   rP   r   r   r   rt   r   r   r   r#   r$   func2   r   z'test_threading_behaviour.<locals>.func2)targetrs   r@   rt   r   )	threadingThreadstartjoin)r   r   t1t2r#   r   r$   test_threading_behaviour   s   
		r   c                 C   sP   t tj| }|di |ddi}t|}t|}t|d|d d S )Nr`   r_   ra   r#   )rU   r   rV   pickledumpsloadsr   rb   )r[   r\   r]   rh   objri   r#   r#   r$   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   isscalarrb   shape)r   rq   r#   r#   r$   test_rvs_size  s   

r   c                  C   s   t  } tjd}t| |d}tjdddd}t|| |    t| 	||	| t jddd} t| |d}t|| |    t| 	||	| t 
d	d
} t| |d}|  }| t|d |d d }t|||    d S )Nr   ro   rO   ra   num      $@      @)locscaler7   rK   )r   normr   rc   default_rngr   linspacecheck_cont_samplesr   ppfbinomr   supportpmfarangecheck_discr_samples)r/   urngrq   urT   pvr#   r#   r$   test_with_scipy_distribution  s   r   c                 C   sn   |  d}| | f}t|d rt||ddd |  d}t|j|_t||jj	}|dks5J d S )Nr   rO   gHz>皙?rtolatoli  )
rb   meanvarr   isfiniter   	vectorizer)   r   pvalue)rq   r/   mv_exrb   mvpvalr#   r#   r$   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)rb   r   r   r   sumr   
zeros_likeuniquer   r   r   )	rq   r   r   rb   r   	obs_freqs_freqsr   r#   r#   r$   r   5  s   

r   c                  C   s   d} t jt| d tt ddd W d    n1 sw   Y  t jt| d tt dd W d    d S 1 s;w   Y  d S )Nz.102 : center moved into domain of distributionrR   r   r6   r   )centerrT   rT   )rW   warnsRuntimeWarningr
   r   )rZ   r#   r#   r$   !test_warning_center_not_in_domainE  s   "r   r[   )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   rX   r   r   )r[   r]   rZ   r#   r#   r$   test_error_mode_not_in_domainO  s
   "r   c                   @   s   e Zd Zdd ZdejjdddejjdddgZde	 fdd	d
dgZ
de	 fde	 fdgZejdeejde
ejdedd Zdd ZdS )TestQRVSc                 C   s   d}t jt|d ttj|}|t }|jdd W d    n1 s%w   Y  ttj|}|t }d}t jt|d |jdtj	dd W d    d S 1 sUw   Y  d S )	Nz&`qmc_engine` must be an instance of...rR   r   )
qmc_engine6`d` must be consistent with dimension of `qmc_engine`.r6   rP   dr   )
rW   rX   rx   rU   r   rV   r   qrvsqmcHalton)r!   r[   rS   r]   genr#   r#   r$   test_input_validation`  s   

"zTestQRVS.test_input_validationNrO   r   rd   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   rX   rx   r   r   r   rc   r   prodr   r   reshaper   )r!   r   size_insize_outd_ind_outr[   w32r/   r]   r   rS   shape_expectedqrng2r   uniformqrvs2r#   r#   r$   test_QRVS_shape_consistencyv  s4   

z$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   rc   r   r   r   r   r   ranger   r   )r!   r[   r/   r]   r   r   r   r   r   r   r   r   isamplesample2r#   r#   r$   test_QRVS_size_tuple  s   zTestQRVS.test_QRVS_size_tuple)r,   r-   r.   r   r   r   Sobolr   qrngstuplesizesdsrW   markparametrizer   r   r#   r#   r#   r$   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$   r     rz   z-TestTransformedDensityRejection.dist0.supportNr,   r-   r.   r%   r&   r)   r   r#   r#   r#   r$   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   ru   r'   shiftr!   r  r#   r#   r$   rw     r*   z.TestTransformedDensityRejection.dist2.__init__c                 C   &   || j 8 }dt|d  }d| | S Nr         ?r  absr!   r"   yr#   r#   r$   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.   rw   r%   r&   r)   r#   r#   r#   r$   dist2  s
    r'  rJ        @?r  dist, mv_exc                 C   sL   t  }|t t|dd}W d    n1 sw   Y  t||| d S N*   ro   )r   filterr   r   r   )r!   r/   r   suprq   r#   r#   r$   
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   ry   r#   r9   r#   r#   r$   r:     r=   z>TestTransformedDensityRejection.test_bad_pdf.<locals>.<lambda>rR   r%   r&   rW   rX   r   r!   r%   rY   rZ   r/   r#   r#   r$   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                   @   r2  )z;TestTransformedDensityRejection.test_bad_dpdf.<locals>.distNr3  r#   r#   r#   r$   r/     r4  r/   c                 S   s   | S r'   r#   r9   r#   r#   r$   r:     r=   z?TestTransformedDensityRejection.test_bad_dpdf.<locals>.<lambda>rR   rO   r7   r   r5  )r!   r&   rY   rZ   r/   r#   r#   r$   test_bad_dpdf  s   
"z-TestTransformedDensityRejection.test_bad_dpdfrQ   c                 C   B   t j||d tt |d W d    d S 1 sw   Y  d S NrR   r   )rW   rX   r   r   r!   rT   rY   rZ   r#   r#   r$   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   rX   rx   r   r   r!   r?  r#   r#   r$   #test_bad_construction_points_scalar  s
   "zCTestTransformedDensityRejection.test_bad_construction_points_scalarc                 C   s  g }t jtdd tt |d W d    n1 sw   Y  g d}t jtdd tt |d W d    n1 s=w   Y  tjtjtjg}t jt	dd tt |d W d    n1 scw   Y  ddg}t jtd	d tt d
|d W d    d S 1 sw   Y  d S )NzC`construction_points` must either be a scalar or a non-empty array.rR   r@  )rO   rO   rO   rO   rO   rO   z:33 : starting points not strictly monotonically increasingr0  r7   z!50 : starting point out of domain)r6   )rT   r?  )
rW   rX   rx   r   r   r   r   r   rF   r   rB  r#   r#   r$   "test_bad_construction_points_array$  s2   "zBTestTransformedDensityRejection.test_bad_construction_points_arrayc      r   r   c                 C   sF   d}t jt|d tt dd W d    d S 1 sw   Y  d S )Nz`c` must either be -0.5 or 0.rR   rH  )rG  rA  )r!   rG  rZ   r#   r#   r$   
test_bad_cH  s   "z*TestTransformedDensityRejection.test_bad_cr   rO   i  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.?)max_squeeze_hat_ratio$invalid value encountered in greater*invalid value encountered in greater_equal!invalid value encountered in less'invalid value encountered in less_equalr   h㈵>r   )r   r   r   r-  r   ppf_hatr   r   r   r   r   )r!   r   rq   r.  resexpectedr#   r#   r$   test_ppf_hatR  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                   @   r2  );TestTransformedDensityRejection.test_bad_dist.<locals>.distNr3  r#   r#   r#   r$   r/   h  r4  r/   z`pdf` required but not found.rR   c                   @      e Zd Zdd ZdS )rU  c                 S   s   d| |   S ry   r#   r9   r#   r#   r$   r:   q  s    zDTestTransformedDensityRejection.test_bad_dist.<locals>.dist.<lambda>Nr,   r-   r.   r%   r#   r#   r#   r$   r/   p      z`dpdf` required but not found.)rW   rX   rx   r   )r!   r/   rZ   r#   r#   r$   test_bad_distf  s   

"z-TestTransformedDensityRejection.test_bad_distN)#r,   r-   r.   r  r  r'  distsmv0mv1r   rD   mv2mv3mvsrW   r   r   zipr/  r   bad_pdfsbad_pdfs_commonr7  bad_dpdf_commonr9  inf_nan_domainsr=  rC  rF  rF   rI  r   r   rT  rY  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$d% Zd&S )'TestDiscreteAliasUrn>   randintnchypergeom_fishernchypergeom_walleniusdistname, paramsc           
      C      || j v rd}t| t|ts|}ntt|}|| }| }t	|d |d  s1td t
|d |d d }||}|d}t|dd}	t|	|| d S )NzYDAU fails on these probably because of large domains and small computation errors in PMF.rO   r   z$DAU only works with a finite domain.r   r,  ro   )basic_fail_distsrW   skip
isinstancestrrU   r   r   r   r   r   r   r   r   
r!   distnameparamsrZ   r/   rT   kr   r   rq   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                   @   r2  )z/TestDiscreteAliasUrn.test_bad_pmf.<locals>.distNr3  r#   r#   r#   r$   r/     r4  r/   rR   r8  r   )r   rW   rX   r   )r!   r   rY   rZ   r/   r#   r#   r$   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)dtyper_   ro   r   r   )weightsrP   )
r   asarrayfloat64r   rb   r   r   lenaverager   )r!   r   rq   rb   variates
m_expected
v_expectedmv_expectedr#   r#   r$   test_sampling_with_pv  s   
z*TestDiscreteAliasUrn.test_sampling_with_pvpv, msgc                 C   <   t jt|d t| W d    d S 1 sw   Y  d S NrR   rW   rX   rx   r   r!   r   rZ   r#   r#   r$   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   rX   rx   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
  )
urn_factor)rW   r   r   r   r  r#   r#   r$   test_bad_urn_factor  s   "z(TestDiscreteAliasUrn.test_bad_urn_factorc                 C   sN   d}G dd d}t jt|d t| W d    d S 1 s w   Y  d S )NzG`domain` must be provided when the probability vector is not available.c                   @   rV  )z0TestDiscreteAliasUrn.test_bad_args.<locals>.distc                 S   s   |S r'   r#   r    r#   r#   r$   r     rz   z4TestDiscreteAliasUrn.test_bad_args.<locals>.dist.pmfN)r,   r-   r.   r   r#   r#   r#   r$   r/     rX  r/   rR   r  )r!   rZ   r/   r#   r#   r$   test_bad_args  s
   
"z"TestDiscreteAliasUrn.test_bad_argsN)r,   r-   r.   rk  rW   r   r   r   r/  rx   	NameErrorr   	TypeErrorbad_pmfrs  r  bad_pv_commonr  r   rD   
inf_domainr  r  r  r#   r#   r#   r$   re  x  sR    



$
re  c                   @   sh  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g dZg 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$d%g g ge
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j!gd"e
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j!gg d*ggZ"ejd+e"d,d- Z#e
jd.d/d$d%g g ge
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j! d0d1gggZ$ejd2e$d3d4 Z%d5d6 Z&d#d7d8e
j!e
j gZ'd9d'e
j!e
j gZ(ejd:e'd;d< Z)ejd=e(d>d? Z*d@dA Z+dBdC Z,dDS )E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     rz   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$   r%      s    z(TestNumericalInversePolynomial.dist2.pdfc                 C   sD   d|d  dddt j d|   t dt j |   dt j   S )Nr  rO   g?r   r   rt  r   r   cosr    r#   r#   r$   r)     s
   
,z(TestNumericalInversePolynomial.dist2.cdfc                 C   rG   r	  r#   r  r#   r#   r$   r     rz   z,TestNumericalInversePolynomial.dist2.supportNr  r#   r#   r#   r$   r'    r|   r'  c                   @   r   )z$TestNumericalInversePolynomial.dist3c                 C   s$   ddddt dt j |     S )NrK   r  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$   r     rz   z,TestNumericalInversePolynomial.dist3.supportNr  r#   r#   r#   r$   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   rq   r#   r#   r$   r/  $  s   z)TestNumericalInversePolynomial.test_basic)studentized_range	trapezoidtriangvonmiseslevy_stablekappa4ksonekstwolevy_l
gausshyperanglit)	ncfparetochi2fatiguelifehalfgennormgibratlognormncx2tri  c                 C   s   || j v rtd|  || jv rtd|  t|tr$tt|n|}|| }t }|	t
 t|dd}W d    n1 sCw   Y  t||| | g d S )NzPINV too slow for zPINV fails for r,  ro   )very_slow_distsrW   rl  
fail_distsrm  rn  rU   r   r   r-  r   r
   r   r   r   )r!   rp  rq  r/   r.  rq   r#   r#   r$   test_basic_all_scipy_dists3  s   


z9TestNumericalInversePolynomial.test_basic_all_scipy_distsr1  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                   @   r2  )z9TestNumericalInversePolynomial.test_bad_pdf.<locals>.distNr3  r#   r#   r#   r$   r/   E  r4  r/   rR   r   r   r   )r%   rW   rX   r
   r6  r#   r#   r$   r7  C  
   "z+TestNumericalInversePolynomial.test_bad_pdfzlogpdf, err, msgc                 C   r  )Nc                   @   r2  )z<TestNumericalInversePolynomial.test_bad_logpdf.<locals>.distNr3  r#   r#   r#   r$   r/   M  r4  r/   rR   r   r   r   )logpdfrW   rX   r
   )r!   r  rY   rZ   r/   r#   r#   r$   test_bad_logpdfK  r  z.TestNumericalInversePolynomial.test_bad_logpdfrQ   c                 C   r:  r;  )rW   rX   r
   r   r<  r#   r#   r$   r=  U  r>  z3TestNumericalInversePolynomial.test_inf_nan_domainsr   rO   '  r   r  r   rK   rL   rJ  r   c                 C      t  }t|dd}t +}|td |td |td |td ||}tj|}W d    n1 s:w   Y  t||ddd |j	|j	ksOJ d S 	N+=u_resolutionrL  rM  rN  rO  gdy=r   )
r   r
   r   r-  r   r   r   r   r   r   r!   r   r/   rq   r.  rR  rS  r#   r#   r$   test_ppfi     
	z'TestNumericalInversePolynomial.test_ppfrD  r7   r6   r   r"   c                 C   r  r  )
r   r
   r   r-  r   r)   r   r   r   r   )r!   r"   r/   rq   r.  rR  rS  r#   r#   r$   test_cdf  r  z'TestNumericalInversePolynomial.test_cdfc                 C   sj   t  }t|dd}| \}}|dk sJ ||ksJ t|dd}| \}}|dk s-J ||ks3J d S Ng|=r  r  )r   r
   u_error)r!   r/   rq   	max_errormaer#   r#   r$   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   rX   rx   r
   )r!   r  r/   rZ   r#   r#   r$   test_bad_orders  s
   "z.TestNumericalInversePolynomial.test_bad_ordersr  c                 C   sF   d}t jt|d tt |d W d    d S 1 sw   Y  d S )Nz.`u_resolution` must be between 1e-15 and 1e-5.rR   r  )rW   rX   rx   r
   r   )r!   r  rZ   r#   r#   r$   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                   @   rV  )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  rX  r  z9Either of the methods `pdf` or `logpdf` must be specifiedrR   z4`sample_size` must be greater than or equal to 1000.r7   c                   @   rV  )zBTestNumericalInversePolynomial.test_bad_args.<locals>.Distributionc                 S   s   t d| | S )Nr   )r   r   r    r#   r#   r$   r%     s   zFTestNumericalInversePolynomial.test_bad_args.<locals>.Distribution.pdfNrW  r#   r#   r#   r$   r{     rX  r{   z!Exact CDF required but not found.)rW   rX   rx   r
   r   r  )r!   r  r/   rZ   rq   r{   r#   r#   r$   r    s&   

"z,TestNumericalInversePolynomial.test_bad_argsc                 C   sh   G dd d}| }dd |_ t|}| }dd |_t|}tjdddd	}t|||| d S )
Nc                   @   r2  )zJTestNumericalInversePolynomial.test_logpdf_pdf_consistency.<locals>.MyDistNr3  r#   r#   r#   r$   MyDist  r4  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    rP  gwJ?ra   r   )r%   r
   r  r   r   r   r   )r!   r  dist_pdfrh   dist_logpdfri   qr#   r#   r$   test_logpdf_pdf_consistency  s   

z:TestNumericalInversePolynomial.test_logpdf_pdf_consistencyN)-r,   r-   r.   r  r  r'  r  rZ  r[  r\  r   r   r]  r^  r_  rW   r   r   r`  r/  r  r  xslowr   r  rb  r7  bad_logpdfs_commonr  rd  r=  r   rF   rD   r   r  r"   r  r  
bad_ordersbad_u_resolutionr  r  r  r  r#   r#   r#   r$   r    sb    


	

"


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   rO   rt  r  r    r#   r#   r$   r)     s   4z%TestNumericalInverseHermite.dist0.cdfc                 C   rG   r	  r#   r  r#   r#   r$   r     rz   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$   r&     s     z&TestNumericalInverseHermite.dist1.dpdfc                 C   sX   |dkrddt dt j |   S |dk rdS |dkr*ddt dt j |   S d S )Nr   g      ?rO   r   rJ   r  r  r  r    r#   r#   r$   r)     s   z%TestNumericalInverseHermite.dist1.cdfc                 C   rG   )N)r
  r  r#   r  r#   r#   r$   r     rz   z)TestNumericalInverseHermite.dist1.supportNr  r#   r#   r#   r$   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  rq   r#   r#   r$   r/    s   z&TestNumericalInverseHermite.test_basicrQ   c                 C   r:  r;  )rW   rX   r   r   r<  r#   r#   r$   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   r7   :0yE>r   )rW   rl  r   r   rc   rd   rU   r   r   randmaxr   r   r)   )
r!   rp  shapes
slow_distsr  r/   fnir"   p_tolu_tolr#   r#   r$   basic_test_all_scipy_dists%  s   

0 z6TestNumericalInverseHermite.basic_test_all_scipy_distszignore::RuntimeWarning)rp  r  c                 C   s   |  || d S r'   r  )r!   rp  r  r#   r#   r$   r  >  s   z6TestNumericalInverseHermite.test_basic_all_scipy_distsc                 C   s   |  dd d S )N	truncnorm)r   rP   r  r  r#   r#   r$   test_basic_truncnorm_gh17155F  s   z8TestNumericalInverseHermite.test_basic_truncnorm_gh17155c                 C   s   d}t jt|d tt dd W d    n1 sw   Y  d}t jt|d td W d    n1 s8w   Y  d}t jt|d tt dd	 W d    d S 1 sYw   Y  d S )
Nz"`order` must be either 1, 3, or 5.rR   rP   r  z`cdf` required but not foundr   z!could not convert string to floatekkir  )rW   rX   rx   r   r   )r!   rS   r#   r#   r$   r   J  s   
"z1TestNumericalInverseHermite.test_input_validationNr   )   )r  )r   r      r  rq   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   rb   r   r   r   r   r   r   r   )
r!   rq   r   r   r/   r  ri   rb   r   rk   r#   r#   r$   test_RVS\  s   z$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$   test_inaccurate_CDFm  s   z/TestNumericalInverseHermite.test_inaccurate_CDFc                 C   s<   t  }t|}t }t|}t|jdd|jdd d S )Nr   ro   )r   r   r   r   r   rb   )r!   r  fni1r'  fni2r#   r#   r$   test_custom_distribution{  s
   z4TestNumericalInverseHermite.test_custom_distributionrJ   r   r  r   r  r   rK   rL   rJ  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  rL  rM  rN  rO  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/   rq   r  r  r.  r#   r#   r$   r    s   
z(TestNumericalInverseHermite.test_u_error))r,   r-   r.   r  r  rZ  r   r   r[  r\  r_  rW   r   r   r`  r/  rd  r=  r  filterwarningsr  r   r  r  r   rc   re   rngsappendr   r   r   r  r  r  r   rF   rD   r   r  r  r#   r#   r#   r$   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>   rf  rg  rh  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`   guide_factorr   rc   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_warningri  c           
      C   rj  )NzYDGT fails on these probably because of large domains and small computation errors in PMF.rO   r   z$DGT only works with a finite domain.r   r,  ro   )rk  rW   rl  rm  rn  rU   r   r   r   r   r   r   r	   r   ro  r#   r#   r$   r/    s   






z!TestDiscreteGuideTable.test_basicr   rO   r  r   r  r   rK   rL   rJ  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,  ro   rL  rM  rN  rO  )	r   r   r	   r   r-  r   r   r   r   )	r!   r   npr/   rq   r.  rR  rS  r#   r#   r$   r    s   

zTestDiscreteGuideTable.test_ppfr  c                 C   r  r  )rW   rX   rx   r	   r  r#   r#   r$   r    r  z"TestDiscreteGuideTable.test_bad_pvrT   c                 C   r  r  )rW   rX   rx   r	   r   r   r  r#   r#   r$   r    r  z&TestDiscreteGuideTable.test_inf_domainN)r,   r-   r.   rk  r  r  r  rW   r   r   r   r/  r   r   rF   rD   r   r  r  r  r  r  r#   r#   r#   r$   r    s,    	


$r  c                   @   s   e Zd ZG dd dZededgZdejgZdejgZeegZ	e
jdeee	dd Ze
jded	d
 Zdd ZdS )TestSimpleRatioUniformsc                   @   r   )zTestSimpleRatioUniforms.distc                 C   s   || _ || _d S r'   )r  r3   r  r#   r#   r$   rw   "  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$   r)   +  r&  z TestSimpleRatioUniforms.dist.cdfN)r,   r-   r.   rw   r%   r)   r#   r#   r#   r$   r/   !  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   cdf_at_moder`   )r   r3   r   r)   r  r#   r#   r$   r/  9  s   
z"TestSimpleRatioUniforms.test_basicrQ   c                 C   r:  r;  )rW   rX   r   r   r<  r#   r#   r$   r=  E  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   pdf_area)rW   rX   rx   r   r   r  r#   r#   r$   r  J  s   "z%TestSimpleRatioUniforms.test_bad_argsN)r,   r-   r.   r/   rZ  r   rD   r\  r]  r_  rW   r   r   r`  r/  rd  r=  r  r#   r#   r#   r$   r
    s    




r
  )Jr   r   rW   copyr   r   r   r  numpyr   numpy.testingr   r   r   	numpy.libr   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  rb  rc  r  rF   rD   r  rx   bad_sized_domainsbad_domainsrd  nan_domainsr   r   r^   rn   rr   r   r   r   r   r   r   r   r   r   r   re  r  r  r  r
  r#   r#   r#   r$   <module>   s    $		
	
1



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