a
    Re1                     @   sN   d Z ddlZddlmZmZ ddlZddlmZ ddl	m
Z
 G dd dZdS )z5
Unit tests for TNC optimization routine from tnc.py
    N)assert_allcloseassert_equalpow)optimizec                   @   sN  e Zd ZdZdd ZdRddZdSddZdTd	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$ Zd%d& Zd'd( Zd)d* Zd+d, Zd-d. Zd/d0 Zd1d2 Zd3d4 Zd5d6 Zd7d8 Zd9d: Zd;d< Z d=d> Z!d?d@ Z"dAdB Z#dCdD Z$dEdF Z%dGdH Z&dIdJ Z'dKdL Z(dMdN Z)dOdP Z*dQS )UTestTnczTNC non-linear optimization.

    These tests are taken from Prof. K. Schittkowski's test examples
    for constrained non-linear programming.

    http://www.uni-bayreuth.de/departments/math/~kschittkowski/home.htm

    c                 C   s   ddd| _ d S )NF   )Zdispmaxfun)opts)self r   Q/var/www/sunrise/env/lib/python3.9/site-packages/scipy/optimize/tests/test_tnc.pysetup_method   s    zTestTnc.setup_method      Y@c                 C   s2   |t |d t |d d d t d|d  d S )N   r            ?r   r   xar   r   r   f1   s    z
TestTnc.f1c                 C   sN   ddg}d| |d t |d d  |d< d|d |d d  d  |d< |S )Nr   r   r          r   r   )r   r   r   difr   r   r   g1   s    " z
TestTnc.g1c                 C   s   |  ||| ||fS N)r   r   r   r   r   r   fg1$   s    zTestTnc.fg1c                 C   s"   |d t |d |d  dd  S )Nr   r   r   h㈵>r   r   r   r   r   r   f3'   s    z
TestTnc.f3c                 C   s8   ddg}d|d |d   d |d< d|d  |d< |S )Nr   r   r   r   r   r   r   r   r   r   r   r   g3*   s    z
TestTnc.g3c                 C   s   |  || |fS r   )r   r    r   r   r   r   fg30   s    zTestTnc.fg3c                 C   s   t |d d dd |d  S )Nr   r      g      @r   r   r   r   r   r   f43   s    z
TestTnc.f4c                 C   s*   ddg}t |d d d|d< d|d< |S )Nr   r   r   r   r   r   r   r   r   g46   s    z
TestTnc.g4c                 C   s   |  || |fS r   )r#   r$   r   r   r   r   fg4<   s    zTestTnc.fg4c                 C   sH   t |d |d  t|d |d  d d|d   d|d   d S )Nr   r   r         ?      @r   )npsinr   r   r   r   r   f5?   s    *

z
TestTnc.f5c                 C   sV   ddg}t |d |d  }d|d |d   }|| d |d< || d |d< |S )Nr   r          @r&   r'   )r(   cos)r   r   r   Zv1Zv2r   r   r   g5C   s    z
TestTnc.g5c                 C   s   |  || |fS r   )r*   r-   r   r   r   r   fg5L   s    zTestTnc.fg5c                 C   s   dt |d t |d d d t d|d  d dt |d t |d d d  t d|d  d dt |d d dt |d d d   d	|d d  |d d   d
 S )Nr   r   r   r   r   g     V@r"   g333333$@3@r   r   r   r   r   r   f38O   s    zTestTnc.f38c                 C   s  g d}d|d  |d t |d d  dd|d    d |d< d	|d t |d d  d
|d d   d|d d   d |d< d|d  |d t |d d  dd|d    d |d< d|d t |d d  d
|d d   d|d d   d |d< |S )N)r   r   r   r   g      yr   r   r   r+   r   r   g      i@g3333334@r/   r"   g     vg     f@r   r   r   r   r   g38V   s,     ( (zTestTnc.g38c                 C   s   |  || |fS r   )r0   r1   r   r   r   r   fg38b   s    zTestTnc.fg38c                 C   s0   d|d |d  |d  |d  |d  d  S )Nr+   r   r   r   r"            ^@r   r   r   r   r   f45e   s    zTestTnc.f45c                 C   s   d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< |S )Nr      r   r   r"   r3   r4   r   r   r   r   r   g45h   s    
*****zTestTnc.g45c                 C   s   |  || |fS r   )r5   r7   r   r   r   r   fg45q   s    zTestTnc.fg45c              	   C   st   ddgt j d gdd gf }}ddg}g }tj| j|d| j|| j|jd}t|j	| |dd t
t||j d S )Nr         TNC)methodjacboundsoptionscallback:0yE>atol)r(   infr   minimizer   r   r
   appendr   funr   lenZnit)r   x0bndsxoptZiterxresr   r   r   test_minimize_tnc1v   s    zTestTnc.test_minimize_tnc1c                 C   sd   t ddgt j d gdd gf }}ddg}tj| j|d|| jdj}t| || |dd d S )Nr9   r   r:   r;   )r<   r>   r?   -C6?rB   )	r(   arrayrD   r   rE   r   r
   r   r   r   rI   rJ   rK   r   r   r   r   test_minimize_tnc1b   s    $zTestTnc.test_minimize_tnc1bc                 C   s`   ddgt j d gdd gf }}ddg}tj| j|dd|| jdj}t| || |dd d S )	Nr9   r   r:   r;   Tr<   r=   r>   r?   rA   rB   )	r(   rD   r   rE   r   r
   r   r   r   rP   r   r   r   test_minimize_tnc1c   s    zTestTnc.test_minimize_tnc1cc                 C   sb   ddgt j d gdd gf }}ddg}tj| j|d| j|| jdj}t| || |dd d S )	Nr9   r   r&   ARr;   rR   rA   rB   )	r(   rD   r   rE   r   r   r
   r   r   rP   r   r   r   test_minimize_tnc2   s    zTestTnc.test_minimize_tnc2c                 C   sb   ddgt j d gdd gf }}ddg}tj| j|d| j|| jdj}t| || |dd d S )	N
   r           r   r;   rR   rA   rB   )	r(   rD   r   rE   r   r    r
   r   r   rP   r   r   r   test_minimize_tnc3   s    zTestTnc.test_minimize_tnc3c                 C   sV   ddgddg }}ddg}t j| j|d| j|| jdj}t| || |d	d
 d S )N      ?      ?r   Nr   Nr   r   r;   rR   rA   rB   )r   rE   r#   r$   r
   r   r   rP   r   r   r   test_minimize_tnc4   s    zTestTnc.test_minimize_tnc4c                 C   sV   ddgddg }}ddg}t j| j|d| j|| jdj}t| || |dd	 d S )
Nr   r:   r3   r"   Zpes-8Rr;   rR   rA   rB   )r   rE   r*   r-   r
   r   r   rP   r   r   r   test_minimize_tnc5   s    zTestTnc.test_minimize_tnc5c                 C   s`   t g ddgd  }}dgd }tj| j|d| j|| jdj}t| || |dd d S )	Nr`   r`   re   irV   r3   r   r;   rR   rA   rB   )	r(   rO   r   rE   r0   r1   r
   r   r   rP   r   r   r   test_minimize_tnc38   s    
zTestTnc.test_minimize_tnc38c                 C   sX   dgd g d }}g d}t j| j|d| j|| jdj}t| || |dd d S )	Nr   r6   )r   r   )r   r   )r   r"   )r   r3   )r   r6   r   r   r"   r3   r6   r;   rR   rA   rB   )r   rE   r5   r7   r
   r   r   rP   r   r   r   test_minimize_tnc45   s    zTestTnc.test_minimize_tnc45c                 C   sz   | j ddgtj d gdd gf  }}}ddg}tj|||dtjjdd\}}}t| || |ddtjj	|  d	 d S )
Nr9   r   r:   )r   r   )r>   argsmessagesr	   rA   TNC failed with status: rC   err_msg
r   r(   rD   r   fmin_tnc_tncMSG_NONEr   r   	RCSTRINGSr   Zfgr   r>   rK   nfrcr   r   r   	test_tnc1   s    &
zTestTnc.test_tnc1c                 C   st   ddgt j d gdd gf }}ddg}tj| j|d|tjjdd\}}}t| || |ddtjj|  d	 d S )
Nr9   r   r:   Tr   )Zapprox_gradr>   rl   r	   rN   rm   rn   )	r(   rD   r   rq   r   rr   rs   r   rt   r   r   r>   rK   rv   rw   r   r   r   
test_tnc1b   s    
zTestTnc.test_tnc1bc                 C   sv   ddgt j d gdd gf }}ddg}tj| j|| j|tjjdd\}}}t| || |ddtjj	|  d d S )	Nr9   r   r:   r   )Zfprimer>   rl   r	   rA   rm   rn   )
r(   rD   r   rq   r   r   rr   rs   r   rt   ry   r   r   r   
test_tnc1c   s    
zTestTnc.test_tnc1cc                 C   sx   | j ddgtj d gdd gf  }}}ddg}tj|||tjjdd\}}}t| || |ddtjj	|  d	 d S )
Nr9   r   r&   rT   r   r>   rl   r	   rA   rm   rn   rp   ru   r   r   r   	test_tnc2   s    &

zTestTnc.test_tnc2c                 C   sx   | j ddgtj d gdd gf  }}}ddg}tj|||tjjdd\}}}t| || |ddtjj	|  d	 d S )
NrV   r   rW   r   r   r|   rA   rm   rn   )
r!   r(   rD   r   rq   rr   rs   r   r   rt   ru   r   r   r   	test_tnc3   s    &

zTestTnc.test_tnc3c                 C   sl   | j ddgddg  }}}ddg}tj|||tjjdd\}}}t| || |d	d
tjj|  d d S )NrY   rZ   r[   r\   r   r   r   r|   rA   rm   rn   )r%   r   rq   rr   rs   r   r#   rt   ru   r   r   r   	test_tnc4   s    

zTestTnc.test_tnc4c                 C   sl   | j ddgddg  }}}ddg}tj|||tjjdd\}}}t| || |dd	tjj|  d
 d S )Nr   r^   r_   ra   rb   r   r|   rA   rm   rn   )r.   r   rq   rr   rs   r   r*   rt   ru   r   r   r   	test_tnc5  s    

zTestTnc.test_tnc5c                 C   sv   | j tg ddgd   }}}dgd }tj|||tjjdd\}}}t| || |ddtjj	|  d	 d S )
Nrd   rf   r3   r   r   r|   rA   rm   rn   )
r2   r(   rO   r   rq   rr   rs   r   r0   rt   ru   r   r   r   
test_tnc38  s    "


zTestTnc.test_tnc38c                 C   sn   | j dgd g d  }}}g d}tj|||tjjdd\}}}t| || |ddtjj|  d	 d S )
Nr   r6   rh   ri   r   r|   rA   rm   rn   )r8   r   rq   rr   rs   r   r5   rt   ru   r   r   r   
test_tnc45#  s    

zTestTnc.test_tnc45c                 C   s   dd }dd }dd }t t$ tj|ddgd	d
 W d    n1 sL0    Y  t t& tj|ddgd	|d W d    n1 s0    Y  d S )Nc                 S   s   t dd S )Nmyfunc)RuntimeErrorr   r   r   r   r   3  s    z/TestTnc.test_raising_exceptions.<locals>.myfuncc                 S   s
   t | S r   )r   rosenr   r   r   r   myfunc16  s    z0TestTnc.test_raising_exceptions.<locals>.myfunc1c                 S   s   t dd S )Nr@   )
ValueErrorr   r   r   r   r@   9  s    z1TestTnc.test_raising_exceptions.<locals>.callbackr   r   r;   )r<   )r<   r@   )pytestZraisesr   r   rE   r   )r   r   r   r@   r   r   r   test_raising_exceptions0  s    2zTestTnc.test_raising_exceptionsc                 C   s   dd }t j}dgd }g d}t j|||dddid	}t j|||dddi|d
}t|j|j t|j|j t|j|j d S )Nc                 S   s   d S r   r   r   r   r   r   r@   J  s    zDTestTnc.test_callback_shouldnt_affect_minimization.<locals>.callback)r   rV   r3   )r   r   r"   g      @r;   r	   i  )r>   r<   r?   )r>   r<   r?   r@   )r   r   rE   r   r   rG   r   Znfev)r   r@   rG   r>   rI   rL   Zres2r   r   r   *test_callback_shouldnt_affect_minimizationD  s    
z2TestTnc.test_callback_shouldnt_affect_minimizationN)r   )r   )r   )+__name__
__module____qualname____doc__r   r   r   r   r   r    r!   r#   r$   r%   r*   r-   r.   r0   r1   r2   r5   r7   r8   rM   rQ   rS   rU   rX   r]   rc   rg   rj   rx   rz   r{   r}   r~   r   r   r   r   r   r   r   r   r   r   r      sP   


			r   )r   r   Znumpy.testingr   r   numpyr(   mathr   Zscipyr   r   r   r   r   r   <module>   s   