o
    g                     @   s  d dl Z d dlmZ d dlmZm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 d dlmZ d dlmZ d d	lmZmZmZmZmZmZmZmZ G d
d dZG dd dZG dd dejZdd Z dd Z!dd Z"dd Z#G dd dZ$G dd de$Z%G dd de$Z&G dd de$Z'G d d! d!e$Z(G d"d# d#Z)G d$d% d%Z*G d&d' d'Z+G d(d) d)Z,d*d+ Z-dS ),    N)Counter)combinationsproduct)assert_allcloseassert_equalassert_array_equal)distance)shapiro)_test_find_index)qmc)van_der_corputn_primesprimes_from_2_toupdate_discrepancy	QMCEngine_l1_norm_perturb_discrepancy&_lloyd_centroidal_voronoi_tessellationc                   @   sd   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd ZdS )	TestUtilsc                 C   s  dgdgdgg}dgdgdgg}t j|ddd}t|| ddgddgddgg}tddgddgg}ddgddgdd	gg}t j||d |d d}t|| t j||d |d d
d}t|| g dg dg dg}dg d}}g dg dg dg}t j|||d}t|| d S )Nr            ?      l_boundsu_bounds         @Tr   r   reverser   r   r   )r   r   r   )r   r   r   )r   r      )r"   r         ?)r   scaler   nparray)selfspaceoutscaled_spaceboundsscaled_back_spacer   r    r-   X/home/ubuntu/cloudmapper/venv/lib/python3.10/site-packages/scipy/stats/tests/test_qmc.py
test_scale   s$   


zTestUtils.test_scalec                 C   sf   t jd}|d}|d d }|dd }tj|||dd}tj|||dd}t|| d S )Nl	   EaT4G*wv    
   r2   F)r    T)r%   randomdefault_rngr   r$   r   )r'   rngsampleabscaledunscaledr-   r-   r.   test_scale_random3   s   
zTestUtils.test_scale_randomc                 C   s~  t jtdd g d}tj|ddd W d    n1 sw   Y  t jtdd* ddgd	d	gd
d
gg}tddgddgg}tj||d |d	 d W d    n1 sWw   Y  t jtdd$ ddgd	d	gd
d
gg}g dddg}}tj|||d W d    n1 sw   Y  t jtdd* ddgd	d	gd
d
gg}tg dg dg}tj||d |d	 d W d    n1 sw   Y  t jtdd* ddgd	dgd
d
gg}tddgddgg}tj||d |d	 d W d    n1 sw   Y  t jtdd, ddgddgddgg}tddgddgg}tj||d |d	 dd W d    d S 1 s8w   Y  d S )NSample is not a 2D arraymatchr   r   r   r   r   r   zBounds are not consistentr   r   r   r   z/'l_bounds' and 'u_bounds' must be broadcastable)r   r   r   )r   r   r   Sample is not in unit hypercuber#   zSample is out of bounds   r   Tr   )pytestraises
ValueErrorr   r$   r%   r&   )r'   r(   r+   r   r   r)   r-   r-   r.   test_scale_errors<   s>   $zTestUtils.test_scale_errorsc              
   C   sp  t ddgddgddgddgddgddgg}d| d d	 }t ddgddgddgddgddgddgg}d| d d	 }tt|d
dd tt|ddd t g dg dg dg dg dg dg dg}d| d d }ttj|ddddd ttj|ddddd ttj|ddddd dD ]}t d|  }ttjt dg| gdd| qd S )Nr   r"   r   r      r          @      ?      (@ǘ?-C6?atolg/$?r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r         @MDmethodr   WDS?CD:M?r   rF   rA          @   L2-star)r%   r&   r   r   discrepancysqrt)r'   space_1space_2r6   dimrefr-   r-   r.   test_discrepancy^   s@   ..
zTestUtils.test_discrepancyc              	   C   s   t ddgddgddgddgddgddgg}tjtdd t| W d    n1 s.w   Y  tjtd	d tddg W d    n1 sLw   Y  d
d
gddgddgg}tjtdd tj|dd W d    d S 1 svw   Y  d S )Nr   r"   r   r   rF   r   r@   r=   r<   r   r   z'toto' is not a valid ...totorW   )r%   r&   rB   rC   rD   r   rb   )r'   r6   r-   r-   r.   test_discrepancy_errors   s   ."z!TestUtils.test_discrepancy_errorsc              
   C   s`  t g dg dg dg dg dg dg dg}d| d	 d
 }ttj|dddddd ttj|dddddd ttj|dddddd dD ]}t d|  }ttjt dg| gddd| qK|tddd  tj	t
dd tj|dd W d    n1 sw   Y  tj	td d tj|d!d W d    d S 1 sw   Y  d S )"NrN   rO   rP   rQ   rR   rS   rT   rG   rH   rU   rV   rA   )rX   workersr   rK   rL   rY   rZ   r[   r\   r]   r"   r   ra   	cpu_countc                   S   s   d S Nr-   r-   r-   r-   r.   <lambda>   s    z5TestUtils.test_discrepancy_parallel.<locals>.<lambda>zCannot determine ther=   rk   zInvalid number of workers...r   )r%   r&   r   r   rb   rc   setattrosrB   rC   NotImplementedErrorrD   )r'   monkeypatchr6   rf   rg   r-   r-   r.   test_discrepancy_parallel   sF   
"z#TestUtils.test_discrepancy_parallelc              	   C   sJ  t ddgddgddgddgddgddgg}d| d d	 }tj|d d
 dd}t|d
 |d d
 |}t|ddd t jd}|d}t|}tj|d d
 dd}t|d
 |d d
 |}t||dd tj	t
dd t|d
 |d d
 d | W d    n1 sw   Y  tj	t
dd t|d
 |d | W d    n1 sw   Y  ddg}tj	t
dd t||d d
 | W d    n1 sw   Y  ddgg}tj	t
dd t||d d
 | W d    n1 sw   Y  g d}tj	t
dd t||d d
 | W d    d S 1 sw   Y  d S )Nr   r"   r   r   rF   r   rG   rH   rI   rl   T)	iterativerJ   rK   rL   l	   gy,!uUxFYo9"] )rF   r2   r@   r=   r<   r   zx_new is not in unit hypercuber   zx_new is not a 1D array)g333333?皙?r   z&x_new and sample must be broadcastable)r%   r&   r   rb   r   r   r3   r4   rB   rC   rD   )r'   rd   	disc_init	disc_iterr5   disc_refx_newr-   r-   r.   test_update_discrepancy   s:   .


$z!TestUtils.test_update_discrepancyc           
      C   s   t jd}tjd|d}|d}t|}tdD ]8}|d}|d}|d}t|||||}|||f |||f |||f< |||f< t|}	t	||	 qd S )Nl	   PvWuW=lWx" r   seedr2   d   )
r%   r3   r4   r   LatinHypercuberb   rangeintegersr   r   )
r'   r5   qmc_genr6   discirow_1row_2coldisc_referencer-   r-   r.   test_perm_discrepancy   s   





zTestUtils.test_perm_discrepancyc           	      C   s   dd }dd }dd }dd }t jd	}|d
}tj|dd}||}t|| tj|dd}||}t|| tj|dd}||}t|| tj|dd}||}t|| dS )z,Alternative definitions from Matt Haberland.c              
   S   s   | j \}}| }ttjddt|d   dt|d d   dd}| d d d d d f }| d d d d d f }ttjtjddt|d   dt|d   dt||   dddd}d| d| |  d|d  |  S )Nr   r   r   axisr   gUUUUUU?shaper%   sumprodabsxnsxijdisc1xkjdisc2r-   r-   r.   disc_c2   s.   

$zFTestUtils.test_discrepancy_alternative_implementation.<locals>.disc_c2c              	   S   s   | j \}}| d d d d d f }| d d d d d f }ttjtjdt||  t|| d  dddd}d|  d|d  |  S )Nr#   r   r   r   gUUUUUU?r   r   )r   r   r   r   r   r   r-   r-   r.   disc_wd  s   
zFTestUtils.test_discrepancy_alternative_implementation.<locals>.disc_wdc              
   S   s  | j \}}| }ttjddt|d   dt|d d   dd}| d d d d d f }| d d d d d f }ttjtjddt|d   dt|d   dt||   dt|| d   ddd	d}d
| d| |  d|d  |  S )Ng?      ?r   r   r   r   g      ?      ?r   gUUUUUU?r   r   r-   r-   r.   disc_md  s2   

$zFTestUtils.test_discrepancy_alternative_implementation.<locals>.disc_mdc              
      sl   j \ }td|  dd|    ttjdd  dd  t fddt D  d   S )Nr"   r   r   r   c                    sH   g | ] }t  D ]}td t|ddf |ddf  qqS )r   N)r   r%   r   maximum).0kjr   r   r-   r.   
<listcomp>!  s    ,z_TestUtils.test_discrepancy_alternative_implementation.<locals>.disc_star_l2.<locals>.<listcomp>)r   r%   rc   r   r   r   )r   r   r-   r   r.   disc_star_l2  s   
zKTestUtils.test_discrepancy_alternative_implementation.<locals>.disc_star_l2l	   j;<Q`siyX r0   r[   rW   rY   rV   ra   N)r%   r3   r4   r   rb   r   )	r'   r   r   r   r   r5   r6   	disc_currdisc_altr-   r-   r.   +test_discrepancy_alternative_implementation   s$   




z5TestUtils.test_discrepancy_alternative_implementationc                 C   sL   t d}|d dksJ t d}|d dksJ t d}|d dks$J d S )Nr2   rl         i  i^  i5	  )r   )r'   primesr-   r-   r.   test_n_primes:  s   zTestUtils.test_n_primesc                 C   s   t d}g d}t|| d S )N2   )r   r"   r                     r      %   )   +   /   )r   r   )r'   r   r)   r-   r-   r.   test_primesD  s   zTestUtils.test_primesN)__name__
__module____qualname__r/   r;   rE   rh   rj   ru   r|   r   r   r   r   r-   r-   r-   r.   r      s    	"%#*J
r   c                   @   $   e Zd Zdd Zdd Zdd ZdS )TestVDCc                 C   sh   t d}g d}t|| t ddd}t|| t ddd}t|| t ddd}t||dd   d S )	Nr2   )
        r   r   r         ?      ?      ?      ?g      ?g      ?rF   rp   rA   r   r"   )start_indexr   r   )r'   r6   r)   r-   r-   r.   test_van_der_corputK  s   


zTestVDC.test_van_der_corputc                 C   s   d}t dd|d}t ddd|d}t||dd   t ddd|dd	}t||dd   t ddd|d
d	}t||dd   d S )Nl	   	XCf
Kl<{O8 r2   Tscrambler~   r   r"   )r   r   r~   rF   )r   r   r~   rk   rA   r   )r'   r~   r)   r6   r-   r-   r.   test_van_der_corput_scrambleZ  s   

z$TestVDC.test_van_der_corput_scramblec                 C   s@   t jtdd tddd W d    d S 1 sw   Y  d S )Nz'base' must be at least 2r=   r2   r   )base)rB   rC   rD   r   r'   r-   r-   r.   test_invalid_base_errork  s   "zTestVDC.test_invalid_base_errorN)r   r   r   r   r   r   r-   r-   r-   r.   r   J  s    r   c                       s.   e Zd Zd fdd	Zd	ddddZ  ZS )
RandomEngineNc                    s   t  j|||d d S )N)doptimizationr~   )super__init__)r'   r   r   r~   	__class__r-   r.   r   q  s   zRandomEngine.__init__r   rp   c                C   s   | j || jf}|S rn   )r5   r3   r   )r'   r   rk   r6   r-   r-   r.   _randomt  s   zRandomEngine._random)NN)r   )r   r   r   r   r   __classcell__r-   r-   r   r.   r   p  s    r   c                  C   s   t ddd} | jdd}| jdd}| jdksJ |   | jdks$J | jdd}t|| |   | jdd | jdd}t|| | jdksKJ d S )	Nr   l	   F,@IY^+Ge r}   r   r   r      r   )r   r3   num_generatedresetr   fast_forward)enginesample_1sample_2sample_1_testsample_2_testr-   r-   r.   test_subclassing_QMCEnginey  s   

r   c                  C   s   t jtdd td W d    n1 sw   Y  t jtdd td W d    n1 s1w   Y  d} t jt| d td}|jddd W d    d S 1 sVw   Y  d S )	Nz d must be a non-negative integerr=   )r   rl   z*'u_bounds' and 'l_bounds' must be integersr   g?r   )rB   rC   rD   r   r   )msgr   r-   r-   r.   test_raises  s   

"r   c                  C   s$  t ddd} | jddd}tt|dg |jtdks J | jdddd	}tt|ddg d
}d}|   | d}|||  | }t|	tj
}|   | j||ddd}t|| | j||ddd}t| | f||d f | j||ddd}t| | f||f d S )Nr   l	   llG[/Ww r}   r2   r   r   int64T)r   endpointr      Fr   r   r   r   )r   r   r   r%   uniquedtyper   r3   floorastyper   minmax)r   r6   lowhigh
ref_sampler-   r-   r.   test_integers  s&   

r   c                  C   s   d} t jd}|jdd| d}|jdd| dd	}t| |d
}|j||ddd}t|jdd| t|jdd|d  |j||ddd}t|jdd| t|jdd| d S )Nr2   l	   G]	#0m$ave r   rl   )r   r   sizer   r   T)r   r   r   r   r}   r   Fr   r   r   )r%   r3   r4   r   r   r   r   r   )r   r5   r   r   r   r6   r-   r-   r.   test_integers_nd  s   r   c                   @   sn  e Zd ZdZeZeZeZeZddgZ	ddgZ
dedefdd	Zdedejfd
dZejjde	e
ddd Zejjde	e
ddd Zejjde	e
ddd Zejjde	e
ddd Zejjde	e
ddd Zejjde	e
ddd Zejjde	e
ddd Zejjde	e
ddd Zejddgdd Zdd  Zejd!d"ejfd#d$d% fgd&d' Z d(S ))QMCEngineTestszGeneric tests for QMC engines.TF	ScrambledUnscrambledr   returnc                 K   sL   t jd}| jr| jd||d|S |rt  d S | jdd|i|S )Nl	   \v$PdvuL2+C r   r~   r-   )r%   r3   r4   can_scrambleqmcerB   skip)r'   r   kwargsr~   r-   r-   r.   r     s   zQMCEngineTests.enginec                 C   s   |r| j S | jS rn   )scramble_ndunscramble_nd)r'   r   r-   r-   r.   	reference  s   zQMCEngineTests.reference)idsc                 C   ,   | j d|d}|d}ttd| d S )Nr   r   r   rF   )rF   r   r   r3   r   r%   emptyr'   r   r   r6   r-   r-   r.   	test_0dim     
zQMCEngineTests.test_0dimc                 C   r   )Nr   r  r   r   r   r  r  r-   r-   r.   test_0sample  r  zQMCEngineTests.test_0samplec                 C   s*   | j d|d}|d}d|jksJ d S )Nr   r  r   r   r   )r   r3   r   r  r-   r-   r.   test_1sample  s   
zQMCEngineTests.test_1samplec                 C   s@   | j d|d}|d}t|dksJ t|dksJ d S )Nr   r     r   r   )r   r3   r%   allr  r-   r-   r.   test_bounds  s   
zQMCEngineTests.test_boundsc                 C   sN   | j |d}| jd|d}|jt|d}t||dd |jt|ks%J d S )Nr   r   r  r   rw   rL   )r   r   r3   lenr   r   )r'   r   r   r   r6   r-   r-   r.   test_sample   s
   zQMCEngineTests.test_samplec                 C   sf   | j d|d}|jdd}| j d|d}t|d }|j|d}|j|d}t|||d  dd d S )Nr   r  rA   r   rw   rL   )r   r3   r  r   )r'   r   r   r   n_half_r6   r-   r-   r.   test_continuing	  s   zQMCEngineTests.test_continuingc                 C   sJ   | j d|d}|jdd}|  |jdksJ |jdd}t|| d S )Nr   r  rA   r   r   )r   r3   r   r   r   )r'   r   r   r   r6   r-   r-   r.   
test_reset  s   zQMCEngineTests.test_resetc                 C   s   | j d|d}|jdd}| j d|d}|d |jdd}t||dd  dd |  g }tdD ]}|d dkrD||  q4|d	 q4t|d
d tdD  t|dd d S )Nr   r  rA   r   rF   rw   rL   r   r   c                 S   s   g | ]
}|d  dkr|qS )r   r   r-   )r   r   r-   r-   r.   r   6  s    z4QMCEngineTests.test_fast_forward.<locals>.<listcomp>h㈵>)	r   r3   r   r   r   r   appendr%   concatenate)r'   r   r   r   r6   
even_drawsr   r-   r-   r.   test_fast_forward!  s"   

z QMCEngineTests.test_fast_forwardc                 C   s   d}| j ||d}|d}ttj|ddtd|dd ttj|d	ddtd
|dd ttj|dddtd|dd d S )Nr   r  i   r   r   r   {Gz?rL      r   K   r   )r   r3   r   r%   meanrepeat
percentile)r'   r   r   r   r6   r-   r-   r.   test_distribution;  s   

z QMCEngineTests.test_distributionc                 C   sH   d}t jt|d | jdddd W d    d S 1 sw   Y  d S )Nz)'toto' is not a valid optimization methodr=   r   Fri   r   r   r   )rB   rC   rD   r   r'   messager-   r-   r.   test_raises_optimizerJ  s   "z$QMCEngineTests.test_raises_optimizerzoptimization,metric	random-CDlloydc                 C   s
   t |  S rn   )r   r6   r-   r-   r.   ro   S  s   
 zQMCEngineTests.<lambda>c           	      C   sV   | j ddd}|jdd}||}| j dd|d}|jdd}||}||k s)J d S )Nr   Fr  r`   r   r!  )r   r3   )	r'   r   metricr   
sample_ref
metric_refoptimal_sample_metric_r-   r-   r.   test_optimizersO  s   zQMCEngineTests.test_optimizersN)!r   r   r   __doc__NotImplementedr   r   r   r   r   r   boolr   r   r%   ndarrayr   rB   markparametrizer  r  r
  r  r  r  r  r  r   r$  r   rb   r.  r-   r-   r-   r.   r     sH    











r   c                   @   s   e Zd ZejZdZeddgddgddgddgd	d
gddgddgddggZ	eddgddgddgddgddgddgddgdd ggZ
d!d" Zd#S )$
TestHaltonTr   r   gUUUUUU?r   gUUUUUU?r   gqq?r   gqq?r   g98?r   gqq?r   grq?g{'?gg_p?gz'd?gU?g{'?gvcj?g oO(?gɭj?g{'?gR2?gAP?givܟ?g{'?g9?g oO(?g-](f?c                 C   sp   | j dd}| jddd}|jt|dd}t||dd |  |d	}|  |jd	dd
}t|| d S )NTr  r   r  rA   )r   rk   gMbP?rL   r2   rp   )r   r   r3   r  r   r   r   r   )r'   r   r   r6   r-   r-   r.   test_workerss  s   
zTestHalton.test_workersN)r   r   r   r   Haltonr   r   r%   r&   r   r   r6  r-   r-   r-   r.   r5  a  s$    
	r5  c                   @   st   e Zd ZejZdZdd Zdd Zdd Z	e
jdd	d
ge
jdddge
jdddgdd Zdd ZdS )TestLHSFc                 G      t d d S NzNot applicable: not a sequence.rB   r   r'   argsr-   r-   r.   r       zTestLHS.test_continuingc                 G   r9  r:  r;  r<  r-   r-   r.   r    r>  zTestLHS.test_fast_forwardc                 G   r9  NzJNot applicable: the value of reference sample is implementation dependent.r;  r<  r-   r-   r.   r    r>  zTestLHS.test_samplestrengthr   r   r   Tr   Nr%  c                 C   s`  t jd}d}|d }d}tj|||||d}|j|d}	|	j||fks'J |j|ks.J t |d | }
t |
||fj	}t 
|	|ksIJ t j|	dd	}|rVd| nd}t|||d
 t 
|	| |ksjJ |dkr|d u rt |}tt||}tt|jdD ]'\}}|	d d ||gf }|| t}tdd |D }t|| qd S d S d S )Nl	   pIrtS"Md@B r   r   r   )r   r   r@  r   r~   r   r   r   r   rL   c                 s   s    | ]}t |V  qd S rn   )tuple)r   rowr-   r-   r.   	<genexpr>  s    z1TestLHS.test_sample_stratified.<locals>.<genexpr>)r%   r3   r4   r   r   r   r   arangebroadcast_toTanysortr   setr   r   r   r   r   intr   )r'   r   r   r@  r~   pr   r   r   r6   
expected1dexpectedsorted_sampletolunique_elementsdesiredr   r   
samples_2dresres_setr-   r-   r.   test_sample_stratified  s:   
zTestLHS.test_sample_stratifiedc                 C   sd  d}t jt|d tjddd W d    n1 sw   Y  d}t jt|d tjddd}|d	 W d    n1 s@w   Y  d}t jt|d tjddd}|d
 W d    n1 sew   Y  d}t jt|d tjd
dd}|d W d    n1 sw   Y  d}t jt|d tjddd W d    d S 1 sw   Y  d S )Nznot a valid strengthr=   r   r"   )r@  z%n is not the square of a prime numberr   )r   r@  r^   r   zn is too small for d	   z'centered' is deprecatedT)centered)rB   rC   rD   r   r   r3   warnsUserWarning)r'   r#  r   r-   r-   r.   r     s.   "zTestLHS.test_raises)r   r   r   r   r   r   r   r  r  r  rB   r3  r4  rU  r   r-   r-   r-   r.   r8    s    %r8  c                   @   s   e Zd ZejZdZeddgddgddgddgddgddgdd	gd	dggZ	ed
dgddgddgddgddgddgddgddggZ
dd Zdd Zdd Zd d! Zejd"d#d$gd%d& Zd'd( Zd)S )*	TestSobolTr   r   r   r   r   r   r   r   ga6?gtAAz?g`?g_k m?gsAdn?grIâ?gqL?g|?g+&C?g#*H;?g&fb_?g]bnQ?gvD2(?gt|!?g$\?g4>z@?c                 C   sH   t jtdd td}|d W d    d S 1 sw   Y  d S )N'The balance properties of Sobol' pointsr=   r   r2   )rB   rX  rY  r   Sobolr3   r'   r   r-   r-   r.   test_warning  s   
"zTestSobol.test_warningc                 C   s   t jddd}|d}t| jd d | |d}t| jdd | tjtdd |d W d    d S 1 s=w   Y  d S )Nr   Fr  rF   rA   r[  r=   )r   r\  random_base2r   r   rB   rC   rD   r'   r   r6   r-   r-   r.   test_random_base2  s   

"zTestSobol.test_random_base2c                 C   s   t jtdd ttjjd  W d    n1 sw   Y  t jtdd tjddd W d    d S 1 s:w   Y  d S )Nz Maximum supported dimensionalityr=   r   zMaximum supported 'bits' is 64A   )bits)rB   rC   rD   r   r\  MAXDIMr   r-   r-   r.   
test_raise  s   "zTestSobol.test_raisec                 C   s^   t jddd}t|   }t|   }t|tddi t|tddi d S )NiW  Fr  r   r   )r   r\  r   r3   flattentolistr   )r'   r   count1count2r-   r-   r.   test_high_dim  s
   zTestSobol.test_high_dimrc  r   r"   c                 C   sr   t jdd|d}d| }||}t| jd | | tjtdd |  W d    d S 1 s2w   Y  d S )Nr   Fr   rc  zincreasing `bits`r=   )r   r\  r3   r   r   rB   rC   rD   )r'   rc  r   nsr6   r-   r-   r.   	test_bits  s   

"zTestSobol.test_bitsc                 C   s*   t jdddd}|d}t| j| d S )Nr   Fr`   rk  rA   )r   r\  r3   r   r   r`  r-   r-   r.   test_64bits  s   
zTestSobol.test_64bitsN)r   r   r   r   r\  r   r   r%   r&   r   r   r^  ra  re  rj  rB   r3  r4  rm  rn  r-   r-   r-   r.   rZ    s8    


		
	rZ  c                   @   sN   e Zd ZejZdZdd Zdd Zdd Z	dd	 Z
d
d Zdd Zdd ZdS )TestPoissonFc                 G   r9  )NzToo costly in memory.r;  r<  r-   r-   r.   r     r>  zTestPoisson.test_boundsc                 G   r9  )Nz"Not applicable: recursive process.r;  r<  r-   r-   r.   r  #  r>  zTestPoisson.test_fast_forwardc                 G   r9  r?  r;  r<  r-   r-   r.   r  &  r>  zTestPoisson.test_samplec                 G   s   d}d}| j d|dd}|j|d}t||ksJ t||ks"J |j|d}t||ks0J t||ks8J tj||gdd}t||d ksKJ t||ksSJ d S )	N皙?r   r   F)r   radiusr   r   r   r   )r   r3   r  l2_normr%   r  )r'   r=  rq  rl  r   sample_initsample_continuedr6   r-   r-   r.   r  *  s   zTestPoisson.test_continuingc                 C   s   t jd}d}d\}}|| |d | }g d}ddg}t|||}|D ]#\}	}
}| j|	|
||d}||}t||ksBJ t||
ksJJ q'd S )	Nl	   x_4vZ.c r   )g{Gz?皙?r   )r   r"   rF   volumesurface)r   rq  hyperspherer~   )r%   r3   r4   r   r   r  rr  )r'   r5   rl  r   r   radii
dimensionshypersphere_methodsgenr   rq  rx  r   r6   r-   r-   r.   test_mindist=  s   
zTestPoisson.test_mindistc                 C   s.   d}| j d|d}| }t||ksJ d S )Nru  r   )r   rq  )r   
fill_spacerr  )r'   rq  r   r6   r-   r-   r.   test_fill_spaceR  s   zTestPoisson.test_fill_spacec                 C   sF   d}t jt|d tjddd W d    d S 1 sw   Y  d S )Nz*'toto' is not a valid hypersphere samplingr=   r   ri   )rx  )rB   rC   rD   r   PoissonDiskr"  r-   r-   r.   r   Z  s   "zTestPoisson.test_raisesN)r   r   r   r   r  r   r   r  r  r  r  r}  r  r   r-   r-   r-   r.   ro    s    ro  c                   @   sL   e Zd Zdd Zejddd Zdd Zdd	 Z	ejdd
d Z
dS )TestMultinomialQMCc                 C   s>  t g d}tjtdd tj|dd W d    n1 s w   Y  t g d}d}tjt|d tj|dd W d    n1 sGw   Y  t g d}d	}tjt|d tj|dtjd
dd W d    n1 ssw   Y  d}tjt|d tj|dt j	 d W d    d S 1 sw   Y  d S )N)Q?p=
ף?gffffff?)\(?z'Elements of pvals must be non-negative.r=   r2   )n_trials)r  r  rw   r  r  z Elements of pvals must sum to 1.r  r  rp  r  r  z Dimension of `engine` must be 1.r   r   )r  r   "`engine` must be an instance of...)
r%   r&   rB   rC   rD   r   MultinomialQMCr\  r3   r4   )r'   rK  r#  r-   r-   r.   test_validationsa  s$   "z#TestMultinomialQMC.test_validationszignore::UserWarningc                 C   sN   t jd}t g d}t g dg}tj|d|d}t|d| d S )Nl	   (u@gP{- r  )r      r   #      r   r  r~   r   )r%   r3   r4   r&   r   r  r   )r'   r~   rK  rM  r   r-   r-   r.   test_MultinomialBasicDrawx  s
   z,TestMultinomialQMC.test_MultinomialBasicDrawc                 C   sV   t jd}t g d}tj|d|d}|d}t|t | t |dd d S )Nl	   8X7:ct]+C: r  i    r  r   rK   rL   )	r%   r3   r4   r&   r   r  r   r   
atleast_2d)r'   r~   rK  r   drawsr-   r-   r.   test_MultinomialDistribution  s
   
"z/TestMultinomialQMC.test_MultinomialDistributionc                 C   sx   t g d}t|}tt||dd tt||dd tt||dd tt||dd tt||d	|d
  d S )N)rw   皙?g?g333333?r   ?gGz?rH   r   r   r  r   gaۢ?g7?r"   rH   r   )r%   r&   r  r   r
   )r'   p_cumulativer   r-   r-   r.   test_FindIndex  s   z!TestMultinomialQMC.test_FindIndexc                 C   s`   t jd}t g d}t g dg}tjdd|d}tj|d||d}t|d| d S )	Nl	   aFkq|'x< r  )r   r  r   $   r  r   Tr   r   )r  r   r~   )r%   r3   r4   r&   r   r\  r  r   )r'   r~   rK  rM  base_enginer   r-   r-   r.   test_other_engine  s   
z$TestMultinomialQMC.test_other_engineN)r   r   r   r  rB   r3  filterwarningsr  r  r  r  r-   r-   r-   r.   r  `  s    


	r  c                   @   sD   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dS )TestNormalQMCc                 C   s   t jtdd}| }t|jd |jdd}t|jd t jtdd}| }t|jd |jdd}t|jd	 d S )
Nr   )r  r   r   r   r   r   r   r   r	  r   r   r   MultivariateNormalQMCr%   zerosr3   r   r   r'   r   samplesr-   r-   r.   test_NormalQMC  s   zTestNormalQMC.test_NormalQMCc                 C   s   t jtddd}| }t|jd |jdd}t|jd t jtddd}| }t|jd	 |jdd}t|jd
 d S )Nr   T)r  inv_transformr  r   r   r  r   r	  r  r  r  r-   r-   r.   test_NormalQMCInvTransform  s   

z(TestNormalQMC.test_NormalQMCInvTransformc                 C   s  t jd}tjt dd|d}|jdd}t ddgdd	gg}t||d
d t jd}tjt dd|d}|jdd}t g dg dg}t||d
d t jd}tjdd|d}tjt dd||d}|jdd}t g dg dg}t||d
d d S )Nl	   q)*syRM@
K r   Fr  r  r~   r   eO?[nKg[XͿg1ZGU?rK   rL   r"   )r  r  gv/?)g;Og/.Ui?g}?rF   Tr   )r  r  r   r~   )	r%   r3   r4   r   r  r  r&   r   r\  )r'   r~   r   r  samples_expectedr  r-   r-   r.   test_NormalQMCSeeded  s:   



z"TestNormalQMC.test_NormalQMCSeededc                 C   s   t jd}tjt d|dd}|jdd}t ddgdd	gg}t||d
d t jd}tjt d|dd}|jdd}t g dg dg}t||d
d d S )Nl	   9e)-%5Z%_6 r   T)r  r~   r  r   ۆQ<H?gF^_?g(+ rK   rL   r"   )r  r  g/fKV?)gr)?gAv"g9})r%   r3   r4   r   r  r  r&   r   )r'   r~   r   r  r  r-   r-   r.    test_NormalQMCSeededInvTransform  s$   

z.TestNormalQMC.test_NormalQMCSeededInvTransformc                 C   sJ   dD ] }t j|dd}t jt||dd}| }t|jd|f qd S )Nr   r   r   Fr  T)r  r   r  r   )r   r\  r  r%   r  r3   r   r   )r'   r   r  r   r  r-   r-   r.   r    s   zTestNormalQMC.test_other_enginec                 C   s   t jd}tjt d|d}|jdd}tt |jdddk s%J tt |j	ddd	 dk s6J d
D ]}t
|d d |f \}}|dksLJ q8t | }t |d
 dk s_J d S )Ni3  r   )r  r~      r   r   r   r  r   r   r   r  r%   r3   r4   r   r  r  r  r   r  stdr	   cov	transposer'   r5   r   r  r   r  pvalr  r-   r-   r.   test_NormalQMCShapiro  s   "z#TestNormalQMC.test_NormalQMCShapiroc                 C   s   t jd}tjt dd|d}|jdd}tt |jddd	k s&J tt |j	ddd
 d	k s7J dD ]}t
|d d |f \}}|dksMJ q9t | }t |d d	k s`J d S )NiZ1 r   Tr  r  r   r   r   r  r   r  r  r  r  r-   r-   r.   !test_NormalQMCShapiroInvTransform  s   "z/TestNormalQMC.test_NormalQMCShapiroInvTransformN)
r   r   r   r  r  r  r  r  r  r  r-   r-   r-   r.   r    s    	r  c                   @   sT   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd ZdS )TestMultivariateNormalQMCc                 C   s  d}t jt|d tjdgtjddd W d    n1 s w   Y  d}t jt|d tjg dtjddd W d    n1 sFw   Y  d	}t jt|d tjddgtj d W d    n1 skw   Y  d
}t jt|d tddgddgddgg W d    n1 sw   Y  d}t jt|d tddgddgddgg W d    n1 sw   Y  d}t jt|d tdgddgddgg W d    d S 1 sw   Y  d S )Nz(Dimension of `engine` must be consistentr=   r   r   r  )r   r!   rF   r  zCovariance matrix not PSD.r   z#Covariance matrix is not symmetric.z/Dimension mismatch between mean and covariance.)	rB   rC   rD   r   r  r\  r%   r3   r4   r"  r-   r-   r.   r    s0   "z*TestMultivariateNormalQMC.test_validationsc                 C   s4   t g dg dg dg dg}|jd usJ d S )Nr!   )r   r   r   )r   r   r   )r   r   r   )r   r  _corr_matrixr]  r-   r-   r.   test_MultivariateNormalQMCNonPD0  s   z9TestMultivariateNormalQMC.test_MultivariateNormalQMCNonPDc                 C   s   t jddd}| }t|jd |jdd}t|jd t jddgddgddggd}| }t|jd |jdd}t|jd	 tg d
}tg dg dg dg}t ||}| }t|jd |jdd}t|jd d S )Nr   r   )r  r  r  r   r  r   r	  r  r  r   r   r   r   r   r   r   r   r   r   r"   r   r"   r   r  r3   r   r   r%   r&   r'   r   r  r  r  r-   r-   r.   test_MultivariateNormalQMC7  s"   z4TestMultivariateNormalQMC.test_MultivariateNormalQMCc                 C   s   t jdddd}| }t|jd |jdd}t|jd t jddgddgddggdd}| }t|jd	 |jdd}t|jd
 tg d}tg dg dg dg}t j||dd}| }t|jd |jdd}t|jd d S )Nr   r   T)r  r  r  r  r   r  r   r	  r  r  r  r  r  )r  r  r  r  r  r-   r-   r.   &test_MultivariateNormalQMCInvTransformO  s&   z@TestMultivariateNormalQMC.test_MultivariateNormalQMCInvTransformc                 C   s   t jd}|d}||  t |d }tjt ddg|d|d}|jdd}t dd	gd
dgg}t	||dd t jd}|d}||  t |d }tjt g d|d|d}|jdd}t g dg dg}t	||dd d S )Nl	   b{1/YK $`F r   r   r   r   F)r  r~   r   g6>W[?gP5z5@?g?Qٰf?gʤ6 ?rK   rL   r"   r"   r"   r!   )gc@gàL@gD`)g
?go'?gIp
r%   r3   r4   standard_normalr  diagr   r  r&   r   r'   r5   r7   Ar   r  r  r-   r-   r.    test_MultivariateNormalQMCSeededi  s,   



z:TestMultivariateNormalQMC.test_MultivariateNormalQMCSeededc                 C   s   t jd}|d}||  t |d }tjt ddg||dd}|jdd}t dd	gd
dgg}t	||dd t jd}|d}||  t |d }tjt g d||dd}|jdd}t g dg dg}t	||dd d S )Nl	   A^}KT0zubN r  r   r   T)r~   r  r   gBފgS"!g`s	M?g]¡x?rK   rL   r  r"   r!   )g?g;ۤտgy)gtֿgc?g([Zӿr  r  r-   r-   r.   ,test_MultivariateNormalQMCSeededInvTransform  s,   



zFTestMultivariateNormalQMC.test_MultivariateNormalQMCSeededInvTransformc                 C   s  t jd}tjddgddgddgg|d}|jdd}tt |jdddk s+J tt |jddd dk s<J d	D ]}t	|d d |f \}}|d
ksRJ q>t 
| }t |d	 dk seJ tjddgddgddgg|d}|jdd}tt |jddddg dk sJ tt |jddt d dk sJ d	D ]}t	|d d |f \}}|d
ksJ qt 
| }t |d	 d dk sJ d S )Nl	   R2qM}3i/ r   r   r  r  r~   r  r   r   r  r  r  rH   rG   r#   r   r   r%   r3   r4   r   r  r  r   r  r  r	   r  r  rc   r'   r~   r   r  r   r  r  r  r-   r-   r.   !test_MultivariateNormalQMCShapiro  s.   "&(z;TestMultivariateNormalQMC.test_MultivariateNormalQMCShapiroc                 C   s  t jd}tjddgddgddgg|dd}|jdd}tt |jddd	k s,J tt |jddd d	k s=J d
D ]}t	|d d |f \}}|dksSJ q?t 
| }t |d
 d	k sfJ tjddgddgddgg|dd}|jdd}tt |jddddg d	k sJ tt |jddt d d	k sJ d
D ]}t	|d d |f \}}|dksJ qt 
| }t |d
 d d	k sJ d S )Nl	   A"l7D#maxbwcuC r   r   T)r  r  r~   r  r  r   r   r  r  r  rH   rG   r#   r   r   r  r  r-   r-   r.   -test_MultivariateNormalQMCShapiroInvTransform  s4   "&(zGTestMultivariateNormalQMC.test_MultivariateNormalQMCShapiroInvTransformc                 C   s  t jd}tjg dg dg dg dg|d}|jdd}tt |jd	d
dk s.J t t |d d d	f d dk sBJ t t |d d df d dk sVJ t t |d d df t 	d dk smJ dD ]}t
|d d |f \}}|dksJ qot | }t |d dk sJ t |d d dk sJ tt |d d d	f |d d df  |d d df  dk sJ d S )Nl	   A	+CIImG`3dz )r   r   r   )rH   r   rH   )r   rH   rH   )rH   rH   rG   r  r  r   r   r   r  r   r   r  g?r  r  r  )r%   r3   r4   r   r  r  r   r  r  rc   r	   r  r  r  r-   r-   r.   $test_MultivariateNormalQMCDegenerate  s(   ((.6z>TestMultivariateNormalQMC.test_MultivariateNormalQMCDegenerateN)r   r   r   r  r  r  r  r  r  r  r  r  r-   r-   r-   r.   r    s     #r  c                   @   r   )	TestLloydc           	      C   s~   t jd}|jdddd}t|}t|}tdD ]"}t|dd}t|}t|}||k s0J ||k s6J |}|}|}qd S )Ni r   r   )   r   )r   rF   )maxiter)r%   r3   RandomStateuniformr   rr  r   r   )	r'   r5   r6   base_l1base_l2r  sample_lloydcurr_l1curr_l2r-   r-   r.   
test_lloyd  s    zTestLloyd.test_lloydc                 C   sR   t ddgddgddgddgg}| }t|d}t|| t ||r'J dS )z
        Verify that the input samples are not mutated in place and that they do
        not share memory with the output.
        rw   ru  r'  N)r%   r&   copyr   r   may_share_memory)r'   sample_origsample_copy
new_sampler-   r-   r.   test_lloyd_non_mutating  s   

z!TestLloyd.test_lloyd_non_mutatingc                 C   s   t jtdd g d}t| W d    n1 sw   Y  d}t jt|d dgdgdgg}t| W d    n1 s?w   Y  d}t jt|d d	dgd
dgddgg}t| W d    d S 1 shw   Y  d S )Nz`sample` is not a 2D arrayr=   r?   z`sample` dimension is not >= 2r   r  r   z!`sample` is not in unit hypercubegrw   r   )rB   rC   rD   r   )r'   r6   r   r-   r-   r.   test_lloyd_errors  s   


"zTestLloyd.test_lloyd_errorsN)r   r   r   r  r  r  r-   r-   r-   r.   r    s    r  c                 C   s   t |  S rn   )r   pdistr   r'  r-   r-   r.   rr  -  r>  rr  ).rr   collectionsr   	itertoolsr   r   rB   numpyr%   numpy.testingr   r   r   scipy.spatialr   scipy.statsr	   scipy.stats._sobolr
   r   scipy.stats._qmcr   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r5  r8  rZ  ro  r  r  r  r  rr  r-   r-   r-   r.   <module>   s@    (  8&	" !OKD<x a9