o
    hz                     @   s  d dl Zd dl mZmZ d dl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 d dlm  mZ G dd dZG d	d
 d
ZG dd dZG dd dZG dd dZG dd dZG dd dZG dd dZG dd dZ	dAd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/d0 Z(d1d2 Z)d3d4 Z*d5d6 Z+d7d8 Z,d9d: Z-d;d< Z.d=d> Z/d?d@ Z0dS )B    N)arraysqrt)assert_array_almost_equalassert_equalassert_almost_equalassert_allclose)raises)	integrategammac                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
	TestChebyc                 C   s   t d}t d}tjdd t d}t d}t d}t d}W d    n1 s/w   Y  t|jdgd	 t|jddgd	 t|jg d
d	 t|jg dd	 t|jg dd	 t|jg dd	 d S )Nr      ignoreall               )r   r   )r   r   r   )r   r   r   r   )r   r   r   r   r   )orthchebycnperrstater   c)selfC0C1C2C3C4C5 r&   ^/var/www/html/scripts/venv/lib/python3.10/site-packages/scipy/special/tests/test_orthogonal.pytest_chebyc   s   




zTestCheby.test_chebycc                 C      t d}t d}t d}t d}t d}t d}t|jdgd t|jddgd t|jg dd t|jg d	d t|jg d
d t|jg d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   chebysr   r   )r   S0S1S2S3S4S5r&   r&   r'   test_chebys      





zTestCheby.test_chebysc                 C   r)   )Nr   r   r   r   r   r   r   )r   r   r*   )r   r   r   r   )   r   ir   r   )   r   r   r   r   )r   chebytr   r   )r   T0T1T2T3T4T5r&   r&   r'   test_chebyt,   r3   zTestCheby.test_chebytc                 C   s   t d}t d}t d}t d}t d}t d}t|jdgd t|jddgd t|jg dd t|jg d	d t|jg d
d t|jg dd d S )Nr   r   r   r   r   r   r   )r   r   r*   )r4   r   r   r   )r5   r   r   r   )    r   ir      r   )r   chebyur   r   )r   U0U1U2U3U4U5r&   r&   r'   test_chebyu:   r3   zTestCheby.test_chebyuN)__name__
__module____qualname__r(   r2   r>   rI   r&   r&   r&   r'   r      s
    r   c                   @      e Zd Zdd ZdS )TestGegenbauerc                 C   s  dt j  d }t |dkrd}td|}td|}td|}td|}td|}td|}t|jtdgd	 t|jtd| dgd	 t|jtd| |d  d| gd	 t|jtdt	|d dd
| |d  dgd d t|jtdt	|d ddt	|d dd| |d  gd d t|jtdt	|d ddt	|d ddt	|d dgd d d S )Nr         ?r   皙ɿr   r   r   r   r   ig      @   r?   g      @r6      g      .@)
r   randomanyr   
gegenbauerr   r   r   scpoch)r   aCa0Ca1Ca2Ca3Ca4Ca5r&   r&   r'   test_gegenbauerK   sB   &&&&zTestGegenbauer.test_gegenbauerN)rJ   rK   rL   r_   r&   r&   r&   r'   rN   I   s    rN   c                   @   s   e Zd Zdd Zdd ZdS )TestHermitec                 C   s   t d}t d}t d}t d}t d}t d}t|jdgd t|jddgd t|jg dd t|jg d	d t|jg d
d t|jg dd d S )Nr   r   r   r   r   r   r   )r   r   r   )r4   r   r?   r   )r5   r   ir      ra   )r@   r   i`r   x   r   )r   hermiter   r   )r   H0H1H2H3H4H5r&   r&   r'   test_hermiteb   r3   zTestHermite.test_hermitec                 C   s2  t dtd dg}td}td}td}td}td}td}td|}td|td }	td|d }
td|dtd  }td|d	 }td|d	td  }t|j|jd
 t|j|	jd
 t|j|
jd
 t|j|jd
 t|j|jd
 t|j|jd
 d S )N      ?r   r   r   r   r   r          @      @r   )r   poly1dr   r   hermitenormrc   r   r   )r   psubrd   re   rf   rg   rh   ri   he0he1he2he3he4he5r&   r&   r'   test_hermitenormp   s&   





zTestHermite.test_hermitenormN)rJ   rK   rL   rj   rw   r&   r&   r&   r'   r`   a   s    r`   c                   @   rM   )TestShLegendrec                 C     t ddg}td}td}td}td}td}td}td|}td|}	td|}
td|}td|}td|}t|j|jd t|j|	jd t|j|
jd t|j|jd t|j|jd	 t|j|jd	 d S 
Nr   r*   r   r   r   r   r   r   ra   )r   rn   r   sh_legendrelegendrer   r   )r   rp   Ps0Ps1Ps2Ps3Ps4Ps5pse0pse1pse2pse3pse4pse5r&   r&   r'   test_sh_legendre   &   





zTestShLegendre.test_sh_legendreN)rJ   rK   rL   r   r&   r&   r&   r'   rx          rx   c                   @   rM   )TestShChebytc                 C   ry   rz   )r   rn   r   	sh_chebytr7   r   r   )r   rp   Ts0Ts1Ts2Ts3Ts4Ts5tse0tse1tse2tse3tse4tse5r&   r&   r'   test_sh_chebyt   r   zTestShChebyt.test_sh_chebytN)rJ   rK   rL   r   r&   r&   r&   r'   r      r   r   c                   @   rM   )TestShChebyuc                 C   s  t ddg}td}td}td}td}td}td}td|}td|}	td|}
td|}td|}td|}t|j|jd t|j|	jd t|j|
jd t|j|jd t|j|jd	 t|j|jd
 d S )Nr   r*   r   r   r   r   r   r   ra   rQ   )r   rn   r   	sh_chebyurB   r   r   )r   rp   Us0Us1Us2Us3Us4Us5use0use1use2use3use4use5r&   r&   r'   test_sh_chebyu   r   zTestShChebyu.test_sh_chebyuN)rJ   rK   rL   r   r&   r&   r&   r'   r      r   r   c                   @   rM   )TestShJacobic                 C   s  dd }t ddg}dt j  }|d dt j   }td||}td||}td||}td||}td||}	td	||}
td|| |d ||d| }td|| |d ||d| }td|| |d ||d| }td|| |d ||d| }td|| |d ||d| }td	|| |d ||d	| }t|j|jd
 t|j|jd
 t|j|jd
 t|j|jd
 t|	j|jd
 t|
j|jd
 d S )Nc                 S   s(   t | d t | |  t d|  |  S )Nr   r   r
   )npr&   r&   r'   conv   s   (z)TestShJacobi.test_sh_jacobi.<locals>.convr   r*   r   r   r   r   r   r   )r   rn   rS   r   	sh_jacobijacobir   r   )r   r   rp   qr   G0G1G2G3G4G5ge0ge1ge2ge3ge4ge5r&   r&   r'   test_sh_jacobi   s,   $$$$$$zTestShJacobi.test_sh_jacobiN)rJ   rK   rL   r   r&   r&   r&   r'   r      r   r   c                   @   rM   )TestCallc                 C   s   g }t dD ]}|dd dt|d  D  qtjdd! |D ]}t|}t|dt|j	d|d	 q#W d    d S 1 sDw   Y  d S )
Nr   c                 S   s   g | ]}|  qS r&   )strip).0xr&   r&   r'   
<listcomp>       z&TestCall.test_call.<locals>.<listcomp>aW  
                orth.jacobi(%(n)d,0.3,0.9)
                orth.sh_jacobi(%(n)d,0.3,0.9)
                orth.genlaguerre(%(n)d,0.3)
                orth.laguerre(%(n)d)
                orth.hermite(%(n)d)
                orth.hermitenorm(%(n)d)
                orth.gegenbauer(%(n)d,0.3)
                orth.chebyt(%(n)d)
                orth.chebyu(%(n)d)
                orth.chebyc(%(n)d)
                orth.chebys(%(n)d)
                orth.sh_chebyt(%(n)d)
                orth.sh_chebyu(%(n)d)
                orth.legendre(%(n)d)
                orth.sh_legendre(%(n)d)
                )r   r   r   g)\(?)err_msg)
rangeextenddictsplitr   r   evalr   rn   coef)r   polyr   pstrr   r&   r&   r'   	test_call   s    

"zTestCall.test_callN)rJ   rK   rL   r   r&   r&   r&   r'   r      r   r   c                   @   rM   )TestGenlaguerrec                 C   sx   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tdd	g t tjddddtdd
g d S )Nr   F)monicr   rl   T       r*   r   r   )r   r   genlaguerrer   rn   )r   r&   r&   r'   test_regression  s    $zTestGenlaguerre.test_regressionN)rJ   rK   rL   r   r&   r&   r&   r'   r     r   r   V瞯<vIh%,=c                    s   | |d\}}	}
t |}||d d t jf |}t ||	 |j}dt |  }|d d t jf | | }t|t ||| t|		 |
|| dd  t
 fdd||}t  ||	}d|d k rkdn|d d }t|d	 ||d
 d S )NTr   c                 S   s   | d d| d   |  d S )Nr   r   r&   r   r&   r&   r'   f$  s   zverify_gauss_quad.<locals>.fc                    s    | |  S Nr&   r   r   weight_funcr&   r'   <lambda>&      z#verify_gauss_quad.<locals>.<lambda>gư>
   r   rtol)r   arangenewaxisdotTr   diagonalr   eyesumr	   quadvdot)	root_func	eval_funcr   rX   bNr   atolr   wmur   vvvvdresIresGr&   r   r'   verify_gauss_quad  s   
r   c               	   C   s  dd } dd }dd }t }|| dd|dd|ddd	d
d || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || dd|dd|ddd	d
d || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || dd|dd|ddd	d
d || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || dd|dd|ddd	d
d || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || d
d|d
d|d
dd	d
ddd || d
d|d
d|d
dd	d
ddd || d
d|d
d|d
dd	d
ddd || d
d|d
d|d
dd	d
d dd || d!d!|d!d!|d!d!d	d
ddd || d!d!|d!d!|d!d!d	d
ddd || d!d!|d!d!|d!d!d	d
dd"d || d!d#|d!d#|d!d#d	d
ddd || d!d#|d!d#|d!d#d	d
ddd || d!d#|d!d#|d!d#d	d
dd"d || d$d%|d$d%|d$d%d	d
ddd || d$d%|d$d%|d$d%d	d
ddd || d$d%|d$d%|d$d%d	d
dd"d || d&d'|d&d'|d&d'd	d
d || d&d'|d&d'|d&d'd	d
ddd || d&d'|d&d'|d&d'd	d
ddd td(d)d)\}}td(\}}t||d*d* t||d*d* td(d+d+\}}td(d,\}}	t||d*d* t||	d*d* tddd-d.\}
}tddd-d/\}}}t|
|d*d* t||d*d* t|dd-d0d\}}t|||d1 tt	tjd2dd tt	tjd3dd tt	tjd-d4d tt	tjd-dd4 tt	tjd-d4d4 d S )5Nc                        fddS )Nc                       t |  |S r   )rV   roots_jacobir   r   rX   r   r&   r'   r   -  r   z/test_roots_jacobi.<locals>.rf.<locals>.<lambda>r&   r   r&   r   r'   rf,     ztest_roots_jacobi.<locals>.rfc                    r   )Nc                    r   r   )rV   eval_jacobir   r   r   r&   r'   r   /  r   z/test_roots_jacobi.<locals>.ef.<locals>.<lambda>r&   r   r&   r   r'   ef.  r   ztest_roots_jacobi.<locals>.efc                    r   )Nc                    s   d|    d|    S )Nr   r&   r   r   r&   r'   r   1  s    z/test_roots_jacobi.<locals>.wf.<locals>.<lambda>r&   r   r&   r   r'   wf0  r   ztest_roots_jacobi.<locals>.wf                  rk   r      -q=r   d   dy=rO   7QE=-=r   vIh%L=?r   vIh%<=g7QU==
ףp=2@L;@g^~z=̌G@rP   g     @   g     @绽|=g      @g     @@g     @@      @皙9Q@rA           +=rm   g      @r   FTr*   r   r   ffffff
@r   )
r   rV   r   roots_legendrer   roots_gegenbauerr	   r   assert_raises
ValueError)r   r   r   vgqxjwjxlwlxcwcr   r   yr   mmuImuI_errr&   r&   r'   test_roots_jacobi+  s   $$((((($(($ ((((((         $  r&  c               	   C   s  dd } dd }dd }t }|| dd|dd|ddd	d
d || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || dd|dd|ddd	d
d || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || dd|dd|ddd	d
d || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || dd|dd|ddd	d
d || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || dd|dd|ddd	d
d || dd|dd|ddd	d
d || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || dd|dd|ddd	d
ddd || dd|dd|ddd	d
dd d || dd|dd|ddd	d
ddd tdd!dd"\}}tdd!dd#\}}}t||d$d$ t||d$d$ t|d!dd%d\}	}
t||	|
d& tttjd%dd tttjd'dd tttjd!dd tttjd!dd( tttjd!d)d( d S )*Nc                    r   )Nc                    r   r   )rV   roots_sh_jacobir   r   r&   r'   r     r   z2test_roots_sh_jacobi.<locals>.rf.<locals>.<lambda>r&   r   r&   r   r'   r     r   z test_roots_sh_jacobi.<locals>.rfc                    r   )Nc                    r   r   )rV   eval_sh_jacobir   r   r&   r'   r     r   z2test_roots_sh_jacobi.<locals>.ef.<locals>.<lambda>r&   r   r&   r   r'   r     r   z test_roots_sh_jacobi.<locals>.efc                    r   )Nc                    s   d|     | d   S )Nrk   r&   r   r   r&   r'   r     s    z2test_roots_sh_jacobi.<locals>.wf.<locals>.<lambda>r&   r   r&   r   r'   r     r   z test_roots_sh_jacobi.<locals>.wfr   g      ?r  rk   r   r  r  r  r  r  rO   r  r   r  r	  r   r  r  r  r  皙?r  r  r  g(#=r
  r   FTr  r   r   r  r*   r   )r   rV   r'  r   r	   r   r  r  )r   r   r   r  r   r   r"  r   r#  r$  r%  r&   r&   r'   test_roots_sh_jacobi  sX   $$(($(($(($$(((((r*  c            
   	   C   s<  t j} t j}tdj}t| ||tj tjd t| ||tj tjddd t| ||tj tjddd t dd\}}t dd\}}}t	||d	d	 t	||d	d	 t
|tj tj\}}	t	|||	d
 t dd\}}t dd\}}}t	||d	d	 t	||d	d	 t	t||d	d	 ttt jd ttt jd d S )Nr   r  r  r  r  r  FTr  r      r   r  )rV   roots_hermiteeval_hermiter   rc   r   r   r   infr   r	   r   r   r  r  
rootfevalfweightfr   r   r"  r   r#  r$  r%  r&   r&   r'   test_roots_hermite  s&   r3  c                     s   dd  d fdd	} | ddd	 | d
dd	 | ddd	 | ddd	 | ddd	 | ddd	 | ddd	 | ddd	 | ddd	 | ddd	 d S )Nc                 S   s   t | |jf}t jd t d|d   |dd d f< | dkrftd| |dd d f  |dd d f< td| D ],}td| | ||d d d f  t|d | ||d d d f   ||d d f< q9|S )N      пr   r   r   r   rl   rk   )r   zerossizepiexpr   r   )r   nodesHkr&   r&   r'   hermite_recursion  s   ((Vz1test_roots_hermite_asy.<locals>.hermite_recursionr   r  c                    sX   t | \}} | d |}t|dd d f t| || tt|ttj|| d S )Nr   r*   )r   _roots_hermite_asyr   r   r5  r   r   r7  )r   r   r   r   r   r:  r<  r&   r'   test  s    z$test_roots_hermite_asy.<locals>.test   r  r     i,  i-  i  i  i  i  i  i  )r   r  r&   )r?  r&   r>  r'   test_roots_hermite_asy  s   
rB  c            
   	   C   s   t j} t j}tdj}t| ||tj tjd t| ||tj tjddd t| ||tj tjddd t dd\}}t dd\}}}t	||d	d	 t	||d	d	 t
|tj tj\}}	t	|||	d
 ttt jd ttt jd d S )Nr   r  r  r  r  r  FTr  r   r   r  )rV   roots_hermitenormeval_hermitenormr   ro   r   r   r   r.  r   r	   r   r  r  r/  r&   r&   r'   test_roots_hermitenorm  s   rE  c               	   C   s  dd } dd }dd }t }|| d|d|ddd	d
 || d|d|ddd	ddd || d|d|ddd	ddd || d|d|ddd	d
 || d|d|ddd	ddd || d|d|ddd	ddd || d|d|ddd	d
 || d|d|ddd	ddd || d|d|ddd	ddd || d|d|ddd	d
 || d|d|ddd	ddd || d|d|ddd	ddd || d|d|ddd	d
dd || d|d|ddd	ddd || d|d|ddd	ddd || d|d|ddd	d
dd || d|d|ddd	ddd || d|d|ddd	ddd || d|d|ddd	d
dd || d|d|ddd	ddd || d|d|ddd	ddd || d|d|ddd	d
dd || d|d|ddd	ddd || d|d|ddd	ddd || d|d|ddd	d
dd || d|d|ddd	ddd || d|d|ddd	ddd || dtj|ddd	d
 || dtj|ddd	d || dtj|ddd	ddd td
dd\}}td
dd\}}}t||dd t||dd t|dd d\}	}
t||	|
d! tttjdd tttjd"d tttjd#d$ d S )%Nc                        fddS )Nc                       t |  |S r   )rV   r  r   rX   r&   r'   r         z6test_roots_gegenbauer.<locals>.rootf.<locals>.<lambda>r&   rH  r&   rH  r'   r0       z$test_roots_gegenbauer.<locals>.rootfc                    rF  )Nc                    rG  r   )rV   eval_gegenbauerr   rH  r&   r'   r     rI  z6test_roots_gegenbauer.<locals>.evalf.<locals>.<lambda>r&   rH  r&   rH  r'   r1    rJ  z$test_roots_gegenbauer.<locals>.evalfc                    rF  )Nc                    s   d| d   d  S )Nr   r   rO   r&   r   rH  r&   r'   r     r   z8test_roots_gegenbauer.<locals>.weightf.<locals>.<lambda>r&   rH  r&   rH  r'   r2    rJ  z&test_roots_gegenbauer.<locals>.weightfr4  r  rk   r   r  r  r  r  r  皙?r  r   r   2      g     Pe@g-A=   g     @r  r   r   FTr  r*   r   r  r   r  )	r   rV   eval_chebytr  r   r	   r   r  r  r0  r1  r2  r  r   r   r"  r   r#  r$  r%  r&   r&   r'   test_roots_gegenbauer  sV   """"""""""""""""""""""" rR  c               	   C      t dj} ttjtj| ddd ttjtj| ddd ttjtj| ddddd tdd\}}tdd	\}}}t||d
d
 t||d
d
 t	| dd\}}t|||d t
ttjd t
ttjd d S )Nr   r  rk   r  r  r  r  FTr  r*   r   r   r   r  )r   r7   r   r   rV   roots_chebytrP  r   r	   r   r  r  r2  r   r   r"  r   r#  r$  r%  r&   r&   r'   test_roots_chebytO     rV  c                  C   sP   t d\} }| d d | dd  }}t||d d d   t| d d d S )N   r   rQ   r*   r   )rV   rT  r   )r   r   posnegr&   r&   r'   test_chebyt_symmetry`  s   r[  c                  C      t dj} ttjtj| ddd ttjtj| ddd ttjtj| ddd tdd\}}tdd\}}}t||dd t||dd t	| d	d
\}}t|||d t
ttjd t
ttjd d S )Nr   r  rk   r  r  FTr  r*   r   r   r   r  )r   rB   r   r   rV   roots_chebyueval_chebyur   r	   r   r  r  rU  r&   r&   r'   test_roots_chebyuf     r_  c               	   C   rS  )Nr   r   rl   r  r  r  r  FTr  r   r   r   r   r  )r   r   r   r   rV   roots_chebyceval_chebycr   r	   r   r  r  rU  r&   r&   r'   test_roots_chebycw  rW  rc  c                  C   r\  )Nr   r   rl   r  r  FTr  r   r   r   r   r  )r   r+   r   r   rV   roots_chebyseval_chebysr   r	   r   r  r  rU  r&   r&   r'   test_roots_chebys  r`  rf  c               	   C      t dj} ttjtj| ddd ttjtj| ddd ttjtj| ddddd tdd\}}tdd	\}}}t||d
d
 t||d
d
 t	| dd\}}t|||d t
ttjd t
ttjd d S Nr   r  rk   r  r  r  r  FTr  r   r   r   r  )r   r   r   r   rV   roots_sh_chebyteval_sh_chebytr   r	   r   r  r  rU  r&   r&   r'   test_roots_sh_chebyt     rk  c               	   C   rg  rh  )r   r   r   r   rV   roots_sh_chebyueval_sh_chebyur   r	   r   r  r  rU  r&   r&   r'   test_roots_sh_chebyu  rl  ro  c               	   C   s   t dj} ttjtj| ddd ttjtj| ddddd ttjtj| ddddd tdd	\}}tdd
\}}}t||dd t||dd t	| dd\}}t|||d t
ttjd t
ttjd d S )Nr   r  rk   r  r  r  r  r  FTr  r*   r   r   r   r  )r   r|   r   r   rV   r  eval_legendrer   r	   r   r  r  rU  r&   r&   r'   test_roots_legendre      rq  c               	   C   s   t dj} ttjtj| ddd ttjtj| ddddd ttjtj| ddddd tdd	\}}tdd
\}}}t||dd t||dd t	| dd\}}t|||d t
ttjd t
ttjd d S )Nr   r  rk   r  r  r  r  r  FTr  r   r   r   r  )r   r{   r   r   rV   roots_sh_legendreeval_sh_legendrer   r	   r   r  r  rU  r&   r&   r'   test_roots_sh_legendre  rr  ru  c               	   C   s   t dj} ttjtj| dtjd ttjtj| dtjddd ttjtj| dtjddd tdd\}}tdd	\}}}t	||d
d
 t	||d
d
 t
| dtj\}}t	|||d tttjd tttjd d S )Nr   r  r  r  r  r  r  FTr  r   r   r  )r   laguerrer   r   rV   roots_laguerreeval_laguerrer   r.  r   r	   r   r  r  rU  r&   r&   r'   test_roots_laguerre  s    ry  c               
   C   s  dd } dd }dd }t }|| d|d|ddtjd	 || d|d|ddtjd
dd || d|d|ddtjddd || d|d|ddtjd	 || d|d|ddtjd
dd || d|d|ddtjddd || d|d|ddtjd	 || d|d|ddtjd
dd || d|d|ddtjddd || d|d|ddtjd	 || d|d|ddtjd
dd || d|d|ddtjddd || d|d|ddtjd	 || d|d|ddtjd
dd || d|d|ddtjdddd td	dd\}}td	dd\}}}t||dd t||dd t|ddtj\}	}
t||	|
d tt	tjdd tt	tjdd tt	tjdd  d S )!Nc                    rF  )Nc                    rG  r   )rV   roots_genlaguerrer   rH  r&   r'   r     rI  z7test_roots_genlaguerre.<locals>.rootf.<locals>.<lambda>r&   rH  r&   rH  r'   r0    rJ  z%test_roots_genlaguerre.<locals>.rootfc                    rF  )Nc                    rG  r   )rV   eval_genlaguerrer   rH  r&   r'   r     rI  z7test_roots_genlaguerre.<locals>.evalf.<locals>.<lambda>r&   rH  r&   rH  r'   r1    rJ  z%test_roots_genlaguerre.<locals>.evalfc                    rF  )Nc                    s   |   t |   S r   )r   r8  r   rH  r&   r'   r     r   z9test_roots_genlaguerre.<locals>.weightf.<locals>.<lambda>r&   rH  r&   rH  r'   r2    rJ  z'test_roots_genlaguerre.<locals>.weightfr   r  r   r  r  r  r  r  rL  g+F=r   gN<=r   rM  r  r
  )r   r   r   FTrl   r   r   r  r   g)
r   r   r.  rV   rz  r   r	   r   r  r  rQ  r&   r&   r'   test_roots_genlaguerre  s8    $$ $$ $$ $$ $&r|  c                   C   s   t dd d S )NA   r)  )rV   r7   r&   r&   r&   r'   test_gh_6721   s   r~  )r   r   )1numpyr   r   r   numpy.testingr   r   r   r   pytestr   r  scipyr	   scipy.specialspecialrV   r   scipy.special._orthogonal_orthogonalr   r   rN   r`   rx   r   r   r   r   r   r   r&  r*  r3  rB  rE  rR  rV  r[  r_  rc  rf  rk  ro  rq  ru  ry  r|  r~  r&   r&   r&   r'   <module>   sJ    <'	
`7@*