o
    i                     @   s   d dl Z d dlZd dlmZ d dlmZmZ d dlm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#d$ Zd%d& Zd'd( ZdS ))    N)exp)assert_assert_equal)rootc                     s0  d} d}t ttddddt ttddddt ttdd	d	dt ttd
d	d	dt ttddddt ttddddt ttddddt t	t
ddddt t	t
ddddt ttddddg
}tg dg dddgD ]\}|D ]  d } fdd}|f} d | }t||   |tj|||  }dt   }	 }
tjdd t|||t d| d d |
|	|d d!d"}W d    n1 sw   Y  t| tj||j|||j|j|jg	}t|j| t|j d d k| t|j d# k| ttj||j||k| qjqcd S )$Ngh㈵>-C6?i     )Fx0nnitnfevi'     i     i  d      c         i        )      ?绽|=g    _Bcruzchengr
   c                    s    d |  | S )Nr    xr
   problemZxscaleZyscaler   r/var/www/html/eduruby.in/lip-sync/lip-sync-env/lib/python3.10/site-packages/scipy/optimize/tests/test__spectral.pyfunc)      ztest_performance.<locals>.funcr	   r   ignore)Zoverr   r      )ftolfatolmaxfevsigma_0	sigma_epsline_searchDF-SANE)argsoptionsmethodr   )dictF_1x0_1F_2x0_2F_6x0_6F_7x0_7F_9x0_9F_10x0_10	itertoolsproductnpsqrtlinalgnormminZerrstater   reprr   successr   r   r   )Ze_aZe_rZtable_1r)   r
   r    r+   r	   r%   r(   r'   solerr_msgr   r   r   test_performance
   sT   	( rF   c                  C   s`   dd } d}d}t | ||dd}t|j tj| |}tj| |j}t||| k d S )Nc                 S   s   | d d d S )Nr   r#                  @r   )zr   r   r   r    C   s   ztest_complex.<locals>.funcrG   r   r*   )Ztolr-   )r   r   rC   r=   r?   r@   r   )r    r	   r$   rD   Zf0Zfxr   r   r   test_complexB   s   
rI   c                  C   s   d
dd} d}t jd t || ||}||| t dt |   }tt j|	 dk t |d }| ||d | ||d	 | | |d | | |d	 d S )Nr   c              	      st    fdd}t j }t j||d }t|t|dd|ddd}t|j tt j||j|k d S )	Nc                    s     |  S N)dot)r   Abr   r   r    Y   s   z=test_linear_definite.<locals>.check_solvability.<locals>.funcg     @@r   isD  )r%   r$   r&   r)   r*   )r,   r-   )	r=   r?   Zsolver@   r   r.   r   rC   r   )rM   rN   r)   r    ZxpZepsrD   r   rL   r   check_solvabilityX   s   
z/test_linear_definite.<locals>.check_solvabilityZ   i  r#   r   r   r   )r   )
r=   randomseedarangeZreshapeZdiagr   r?   ZeigvalsrA   )rO   r
   rM   rN   r   r   r   test_linear_definiteQ   s   

 rT   c                  C   sf   dd } t tfD ](}tddg}tjddg|d}t| ||fdd}t|j t|j	j
|j
 qd S )Nc                 S   s   | | S rJ   r   )r   argr   r   r   fs   s   ztest_shape.<locals>.fr   )Zdtyper*   )r+   r-   )floatcomplexr=   zerosonesr   r   rC   r   r   shape)rV   dtr   rU   rD   r   r   r   
test_shaper   s   
r]   c                 C   sd   t |g}t d|d }t| d d d |d< |t| dd  d | dd    |dd < |S )Nr   r#   r   r=   rY   rS   r   r   r
   gir   r   r   r/      s
   ,r/   c                 C   s"   t | g}|| | d   |S Nr#   r=   emptyfillr
   r	   r   r   r   r0         r0   c                 C   sd   t |g}t d|d }t| d d |d< d| t| dd  | d d  d  |dd < |S )Nr   r#   r   g?r^   r_   r   r   r   r1      s
   0r1   c                 C   s"   t | g}|d| d   |S )Nr#   r   rc   rf   r   r   r   r2      rg   r2   c                 C   s0  t |d d t|g}d| d d d  d| dd d d   d| dd d d   d| dd d   d	 |d d d< d
| d d d  d| dd d d   d| dd d d   d| dd d   | 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 )N   r   g333333?g?r#   g@r   g333333#@g333333@gQ?g
ףp=
?gQ	@gHzG@g?gHzG@g      ?g      ?)r   r=   rY   )r   r
   r`   r   r   r   F_4   s   ^2rj   c                 C   s(   t | d d tg d| d  }|S )Nri   r   )rh         ?rh   r   r=   arrayrf   r   r   r   x0_4   s   rn   c                 C   sd   d}t d|d d | }| dd|d|  |d d d f |  |d d d f |  jdd    S )Ng?r#   rk   r   )Zaxis)r=   rS   sum)r   r
   cmur   r   r   r3      s   Hr3   c                 C      t | gS rJ   r=   rZ   r
   r   r   r   r4         r4   c                 C   s   t |d d dd }t|g}d| dd d d  d |d d d< t| d d d  t| dd d   d |dd d< || dd d |dd d< |S )	Nri   r   c                 S   sd   d|  d }d| d  d| d   d|   d d | d	k || d	k< d|  d | dk || dk< |S )
Nrk   r   iri   ix  i  i  i  rh   r   )tvr   r   r   phi   s   8zF_7.<locals>.phig     @r#   r   gqh ?)r   r=   rY   r   )r   r
   rx   r`   r   r   r   r5      s   $6r5   c                 C   s$   t | d d tg d| d  S )Nri   r   )gMbP?r   r#   rl   rt   r   r   r   r6      s   r6   c                 C   s   t |g}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< |S )Nr   r   ri   r#   rh   )r=   rY   rS   r_   r   r   r   r7      s   $J*r7   c                 C   rr   rJ   rs   rt   r   r   r   r8      ru   r8   c                 C   s   t d|  | |  S rb   )r=   logr   r   r   r   r9      r!   r9   c                 C   rr   rJ   rs   rt   r   r   r   r:      ru   r:   )r;   numpyr=   r   Znumpy.testingr   r   Zscipy.optimizer   rF   rI   rT   r]   r/   r0   r1   r2   rj   rn   r3   r4   r5   r6   r7   r8   r9   r:   r   r   r   r   <module>   s.    8!