a
    Re                     @   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$ Zd%d& Zd'd( ZdS ))    N)exp)assert_assert_equal)rootc                     s6  d} d}t ttddddt ttddddt ttdd	d	dt ttd
d	d	dt ttddddt ttddddt ttddddt t	t
ddddt t	t
ddddt ttddddg
}tg dg dddgD ]h\}|D ]V  d } fdd}|f} d | }t||   |tj|||  }dt   }	 }
tjdd: t|||t d| d d |
|	|d d!d"}W d    n1 s0    Y  t| tj||j|||j|j|jg	}t|j| t|j d d k| t|j d# k| ttj||j||k| qqd S )$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   W/var/www/sunrise/env/lib/python3.9/site-packages/scipy/optimize/tests/test__spectral.pyfunc)   s    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$   r'   r&   solerr_msgr   r   r   test_performance
   sN    	
(&rE   c                  C   s`   dd } d}d}t | ||dd}t|j tj| |}tj| |j}t||| k d S )Nc                 S   s   | d d d S )Nr   r"                  @r   )zr   r   r   r    C   s    ztest_complex.<locals>.funcrF   r   r)   )Ztolr,   )r   r   rB   r<   r>   r?   r   )r    r	   r#   rC   Zf0Zfxr   r   r   test_complexB   s    
rH   c                  C   s   d
dd} d}t jd t || ||}||| t dt |   }tt j|	 dk t |d }| ||d | ||d	 | | |d | | |d	 d S )Nr   c              	      st    fdd}t j }t j||d }t|t|dd|ddd}t|j tt j||j|k d S )	Nc                    s     |  S N)dot)r   Abr   r   r    Y   s    z=test_linear_definite.<locals>.check_solvability.<locals>.funcg     @@r   isD  )r$   r#   r%   r(   r)   )r+   r,   )	r<   r>   Zsolver?   r   r-   r   rB   r   )rL   rM   r(   r    ZxpZepsrC   r   rK   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eigvalsr@   )rN   r
   rL   rM   r   r   r   test_linear_definiteQ   s    

 rS   c                  C   sf   dd } t tfD ]P}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 rI   r   )r   argr   r   r   fs   s    ztest_shape.<locals>.fr   )Zdtyper)   )r*   r,   )floatcomplexr<   zerosonesr   r   rB   r   r   shape)rU   dtr   rT   rC   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<   rX   rR   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   r/      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   g?r]   r^   r   r   r   r0      s
    0r0   c                 C   s"   t | g}|d| d   |S )Nr"   r   rb   re   r   r   r   r1      s    r1   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<   rX   )r   r
   r_   r   r   r   F_4   s    ^2rh   c                 C   s(   t | d d tg d| d  }|S )Nrg   r   )rf         ?rf   r   r<   arrayre   r   r   r   x0_4   s    rl   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"   ri   r   )Zaxis)r<   rR   sum)r   r
   cmur   r   r   r2      s    r2   c                 C   s   t | gS rI   r<   rY   r
   r   r   r   r3      s    r3   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 )	Nrg   r   c                 S   sd   d|  d }d| d  d| d   d|   d d | d	k || d	k< d|  d | dk || dk< |S )
Nri   r   irg   ix  i  i  i  rf   r   )tvr   r   r   phi   s    8zF_7.<locals>.phig     @r"   r   gqh ?)r   r<   rX   r   )r   r
   rt   r_   r   r   r   r4      s    $6r4   c                 C   s$   t | d d tg d| d  S )Nrg   r   )gMbP?r   r"   rj   rq   r   r   r   r5      s    r5   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   rg   r"   rf   )r<   rX   rR   r^   r   r   r   r6      s    $J*r6   c                 C   s   t | gS rI   rp   rq   r   r   r   r7      s    r7   c                 C   s   t d|  | |  S ra   )r<   logr   r   r   r   r8      s    r8   c                 C   s   t | gS rI   rp   rq   r   r   r   r9      s    r9   )r:   numpyr<   r   Znumpy.testingr   r   Zscipy.optimizer   rE   rH   rS   r\   r.   r/   r0   r1   rh   rl   r2   r3   r4   r5   r6   r7   r8   r9   r   r   r   r   <module>   s,   8!