o
    	hc%                     @   sJ  d dl Zd dlmZmZ d dlZd dlmZ d dlm	  m
Z d dlmZ dd Zdd Zd	d
 Zdd ZG dd dZG dd dZdd Zejdg dejdd dejgdd Zejdg dejddejgejddejgdd Zejdg dejdddejgejdddejgd d! ZdS )"    N)assert_assert_allclose)_ufuncs)FuncDatac                  C   sb   t jdddt dd} dt j  d }t | t | }t| |}t	t j
||dd	 d S )
Nr   i'     long)dtype      gV瞯<rtol)nparanger   randomrandcosarccosr   eval_chebytr   allclose)nxv1v2 r   \/var/www/vscode/kcb/lib/python3.10/site-packages/scipy/special/tests/test_orthogonal_eval.pytest_eval_chebyt
   s
   r   c                   C   s   t dddks
J d S )Nr   y       @        g     @)r   r   r   r   r   r   test_eval_chebyt_gh20129   s   r   c                   C   s4   t ttddd t ttddd d S )Nr   g?)r   r   isnanr   eval_genlaguerrer   r   r   r   !test_eval_genlaguerre_restriction   s   r    c                   C   sX   t jdd tdd tdd tddd W d    d S 1 s%w   Y  d S )Nraiseallr
   r   )r   errstater   eval_legendreeval_laguerreeval_gegenbauerr   r   r   r   test_warnings   s
   "r(   c                   @   s   e Zd ZdZ		d&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d Zdd Zdd  Zd!d" Zd#d$ Zd%S )'	TestPolyszQ
    Check that the eval_* functions agree with the constructed polynomials

    r   
   :0yE>c	                    sX  t jdg }	t |D ]c}
fdd|D }t |j}|s$dg}|D ]I}|r2|
ft| }n|
f}|d |d |d  |  }|d |d< |d |d< t || j	}t j
t ||df|||f }|	| q&qt j|	dd}	 fdd}t jd	d
 t||	ttt|d d|d}|  W d    d S 1 sw   Y  d S )N  c                    s&   g | ]\}}|||     qS r   )r   .0ab)nparamrngr   r   
<listcomp>2   s   & z(TestPolys.check_poly.<locals>.<listcomp>r   r
   axisc                     s*   | d  tdf| dd   }  |  S )Nr   r   r
   )astyper   r   )pfuncr   r   polyfuncD   s   "z&TestPolys.check_poly.<locals>.polyfuncr!   r"   r	   r   r   )r   r   RandomStater   asarrayTtupler   poly1dcoefc_tileappendconcatenater$   r   listrangelencheck)selfr9   clsparam_rangesx_rangennr1   nxr   datasetr   paramsr7   r   polyzr:   dsr   )r9   r1   r2   r   
check_poly,   s4   " 
"zTestPolys.check_polyc                 C   s$   | j tjtjddgddgdd d S )NgGzr*   r   r
   h㈵>rK   rL   r   )rT   r   eval_jacobiorthjacobirI   r   r   r   test_jacobiM   s   
zTestPolys.test_jacobic                 C   s$   | j tjtjddgddgdd d S )Nr
   r*   r   r
   r   r
   rV   rW   )rT   r   eval_sh_jacobirY   	sh_jacobir[   r   r   r   test_sh_jacobiR   s   
zTestPolys.test_sh_jacobic                 C   s"   | j tjtjdgddgdd d S )NgV-߿r*   r   r
   gHz>rW   )rT   r   r'   rY   
gegenbauerr[   r   r   r   test_gegenbauerW   s   

zTestPolys.test_gegenbauerc                 C      | j tjtjg ddgd d S Nr   r
   rK   rL   )rT   r   r   rY   chebytr[   r   r   r   test_chebyt\      
zTestPolys.test_chebytc                 C   re   rf   )rT   r   eval_chebyurY   chebyur[   r   r   r   test_chebyu`   rj   zTestPolys.test_chebyuc                 C   re   Nr	   rg   )rT   r   eval_chebysrY   chebysr[   r   r   r   test_chebysd   rj   zTestPolys.test_chebysc                 C   re   rn   )rT   r   eval_chebycrY   chebycr[   r   r   r   test_chebych   rj   zTestPolys.test_chebycc                 C   L   t jdd | jtjtjg ddgd W d    d S 1 sw   Y  d S Nignorer"   r   r
   rg   )r   r$   rT   r   eval_sh_chebytrY   	sh_chebytr[   r   r   r   test_sh_chebytl   
   "zTestPolys.test_sh_chebytc                 C   re   Nr   r
   rg   )rT   r   eval_sh_chebyurY   	sh_chebyur[   r   r   r   test_sh_chebyuq   rj   zTestPolys.test_sh_chebyuc                 C   re   rf   )rT   r   r%   rY   legendrer[   r   r   r   test_legendreu   rj   zTestPolys.test_legendrec                 C   rv   rw   )r   r$   rT   r   eval_sh_legendrerY   sh_legendrer[   r   r   r   test_sh_legendrey   r|   zTestPolys.test_sh_legendrec                 C   s    | j tjtjdgddgd d S NrU   r   d   rg   )rT   r   r   rY   genlaguerrer[   r   r   r   test_genlaguerre~   s   

zTestPolys.test_genlaguerrec                 C   re   Nr   r   rg   )rT   r   r&   rY   laguerrer[   r   r   r   test_laguerre   rj   zTestPolys.test_laguerrec                 C   re   Nir   rg   )rT   r   eval_hermiterY   hermiter[   r   r   r   test_hermite   rj   zTestPolys.test_hermitec                 C   re   r   )rT   r   eval_hermitenormrY   hermitenormr[   r   r   r   test_hermitenorm   rj   zTestPolys.test_hermitenormNr   r   r*   r*   r*   r+   )__name__
__module____qualname____doc__rT   r\   ra   rd   ri   rm   rr   ru   r{   r   r   r   r   r   r   r   r   r   r   r   r)   &   s(    
!r)   c                   @   s   e Zd ZdZ		d$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d Zdd Zdd  Zd!d" Zd#S )%TestRecurrencezI
    Check that the eval_* functions sig='ld->d' and 'dd->d' agree.

    r   r*   r+   c              	      sn  t jd g }t |D ]n}	fdd|D }
t |
j}
|s#dg}
|
D ]U}|r1|	ft| }n|	f}|d |d |d  t j|  }|d |d< |d |d< tt	|d d d d}t j
t ||df| ||f i |f }|| q%qt j|dd	} fd
d}t jdd t||ttt	|d d|d}|  W d    d S 1 sw   Y  d S )Nr,   c                    s(   g | ]\}}||| t j   qS r   )r   r   r   r-   )r1   r   r   r3      s   ( z-TestRecurrence.check_poly.<locals>.<listcomp>r   r
   d->dsigr4   c                     sV   | d  tj}|f| dd   } |jj}t|t| d d  d d} | i |S )Nr   r
   r   r   r   )r6   r   intpr   chardictrG   )r7   p0p0_type_charkwr8   r   r   r:      s
   z+TestRecurrence.check_poly.<locals>.polyfuncr!   r"   r	   r   r   )r   r   seedr   r<   r=   r>   r   r   rG   rA   rB   rC   rD   r$   r   rE   rF   rH   )rI   r9   rK   rL   rM   r1   rN   r   rO   r   rP   r7   r   r   rR   r:   rS   r   )r9   r1   r   rT      s4   $,
"zTestRecurrence.check_polyc                 C   s   | j tjddgddgd d S )NrU   r   r
   rg   )rT   r   rX   r[   r   r   r   r\      s   
zTestRecurrence.test_jacobic                 C   s   | j tjddgddgd d S )Nr]   r^   r   r
   rg   )rT   r   r_   r[   r   r   r   ra      s   
zTestRecurrence.test_sh_jacobic                 C      | j tjdgddgd d S )Nrb   r   r
   rg   )rT   r   r'   r[   r   r   r   rd         

zTestRecurrence.test_gegenbauerc                 C      | j tjg ddgd d S rf   )rT   r   r   r[   r   r   r   ri         
zTestRecurrence.test_chebytc                 C   r   rf   )rT   r   rk   r[   r   r   r   rm      r   zTestRecurrence.test_chebyuc                 C   r   rn   )rT   r   rp   r[   r   r   r   rr      r   zTestRecurrence.test_chebysc                 C   r   rn   )rT   r   rs   r[   r   r   r   ru      r   zTestRecurrence.test_chebycc                 C   r   r}   )rT   r   ry   r[   r   r   r   r{      r   zTestRecurrence.test_sh_chebytc                 C   r   r}   )rT   r   r~   r[   r   r   r   r      r   zTestRecurrence.test_sh_chebyuc                 C   r   rf   )rT   r   r%   r[   r   r   r   r      r   zTestRecurrence.test_legendrec                 C   r   r}   )rT   r   r   r[   r   r   r   r      r   zTestRecurrence.test_sh_legendrec                 C   r   r   )rT   r   r   r[   r   r   r   r      r   zTestRecurrence.test_genlaguerrec                 C   r   r   )rT   r   r&   r[   r   r   r   r      r   zTestRecurrence.test_laguerrec                 C   s   t dd}d}t|| d S )NF         ?gi\m)r   r   r   )rI   vr/   r   r   r   r      s   zTestRecurrence.test_hermiteNr   )r   r   r   r   rT   r\   ra   rd   ri   rm   rr   ru   r{   r   r   r   r   r   r   r   r   r   r   r      s&    
$r   c                   C   s0   t tddsJ t tddsJ d S )Nr   r   )r   r   r   r   r   r   r   r   r   test_hermite_domain   s   r   r   )r   r
   r	   r   r
   c                 C   sX   t t| |t t | |gksJ t t| |t t | |gks*J d S N)r   r   r   r   anyr   )r   r   r   r   r   test_hermite_nan   s   *.r   )r   r
   r	   g	@alphar	   c                 C   :   t t| ||}t t | ||g}||ksJ d S r   )r   r   r   r   r   )r   r   r   nan_laguerrenan_argr   r   r   test_genlaguerre_nan     r   g        gư>c                 C   r   r   )r   r   r   r'   r   )r   r   r   nan_gegenbauerr   r   r   r   test_gegenbauer_nan  r   r   )numpyr   numpy.testingr   r   pytestscipy.specialr   scipy.special._orthogonalspecial_orthogonalrY   scipy.special._testutilsr   r   r   r    r(   r)   r   r   markparametrizenanr   r   r   r   r   r   r   <module>   s0    	ie