a
    Re*                     @   s   d Z ddlmZmZmZmZmZ ddlm  m	Z
 ddlmZ ddlZddd	Zdd
dZdd Zdd ZdddZG dd dZdS )z 
Tests for line search routines
    )assert_equalassert_array_almost_equalassert_array_almost_equal_nulpassert_warnssuppress_warningsN)LineSearchWarning-C6?? c                 C   sx   || }|d}|d}|| }	d | ||||	|}
||||  |  ksTJ d|
 t|	t|| kstJ d|
 dS )z2
    Check that strong Wolfe conditions apply
    r   z@s = {}; phi(0) = {}; phi(s) = {}; phi'(0) = {}; phi'(s) = {}; {}zWolfe 1 failed: zWolfe 2 failed: N)formatabs)sphiderphic1c2err_msgphi1phi0Zderphi0derphi1msg r   X/var/www/sunrise/env/lib/python3.9/site-packages/scipy/optimize/tests/test_linesearch.pyassert_wolfe   s     r   c                 C   sL   || }|d}d|  d| d| d| }|d||   | ksHJ |dS )z-
    Check that Armijo condition applies
    r   zs = z; phi(0) = z; phi(s) = z;    Nr   )r   r   r   r   r   r   r   r   r   r   assert_armijo   s    r   c                    s2   t |f fddfddd| d S )Nc                    s    |   S Nr   spfpxr   r   <lambda>&       z#assert_line_wolfe.<locals>.<lambda>c                    s   t  |   S r   npdotr   )fprimer!   r"   r   r   r#   '   r$   )r   r   )r   )r"   r!   r   r    r(   kwr   )r    r(   r!   r"   r   assert_line_wolfe%   s
    r*   c                    s$   t |fd fddi| d S )Nr   c                    s    |   S r   r   r   r   r   r   r#   +   r$   z$assert_line_armijo.<locals>.<lambda>)r   )r"   r!   r   r    r)   r   r   r   assert_line_armijo*   s    r+   2   c              
   C   sN   zt | || W n8 tyH } z t| d| |W Y d}~n
d}~0 0 dS )zEAssert two arrays are equal, up to some floating-point rounding error
N)r   AssertionError)r"   yr   Znulper   r   r   assert_fp_equal.   s    r1   c                   @   s   e Z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$ Zd%d& Zd'S )(TestLineSearchc                 C   sH   |  j d7  _ | |d  |d  }dd|d   d|d   }||fS )Nr            )fcountselfr   r!   Zdpr   r   r   _scalar_func_18   s    zTestLineSearch._scalar_func_1c                 C   sF   |  j d7  _ td| |d  }dtd|  d|  }||fS )Nr   r6   )r7   r&   expr8   r   r   r   _scalar_func_2>   s    zTestLineSearch._scalar_func_2c                 C   s8   |  j d7  _ td|  }dtd|  }||fS )Nr   
   i)r7   r&   sincosr8   r   r   r   _scalar_func_3D   s    zTestLineSearch._scalar_func_3c                 C   s*   |  j d7  _ t||}d| }||fS )Nr   r6   )r7   r&   r'   r9   r"   r    Zdfr   r   r   _line_func_1L   s    zTestLineSearch._line_func_1c                 C   sF   |  j d7  _ t|t| j|d }t| j| jj |}||fS )Nr   )r7   r&   r'   ATrB   r   r   r   _line_func_2R   s    zTestLineSearch._line_func_2c                 C   s   g | _ g | _d| _d| _dd }tt| D ]j}|drdt| |}| j |||d||df q,|dr,t| |}| j|||d||df q,t	j
d t	j
| j| j| _d S )	N   r   c                    s    fddS )Nc                     s    | i | S r   r   )ar)   funcidxr   r   r#   b   r$   zATestLineSearch.setup_method.<locals>.bind_index.<locals>.<lambda>r   rI   r   rI   r   
bind_index`   s    z/TestLineSearch.setup_method.<locals>.bind_indexZ_scalar_func_r   Z_line_func_i  )scalar_funcs
line_funcsNr7   sorteddir
startswithgetattrappendr&   randomseedrandnrD   )r9   rL   namevaluer   r   r   setup_methodZ   s$    



zTestLineSearch.setup_methodc                 c   s6   | j D ]*\}}}tjdD ]}||||fV  qqd S )Nr3   )rM   r&   rU   rW   )r9   rX   r   r   old_phi0r   r   r   scalar_iterq   s    zTestLineSearch.scalar_iterc                 c   s~   | j D ]r\}}}d}|dk rtj| j}tj| j}t|||dkrNq|d7 }ttj }||||||fV  qqd S )Nr   	   r   )rN   r&   rU   rW   rO   r'   float)r9   rX   r    r(   kr"   r!   Zold_fvr   r   r   	line_iterv   s    zTestLineSearch.line_iterc           	   	   C   s   d}|   D ]d\}}}}|d7 }t|||d||d\}}}t||d| t|||| t||||d q|dks~J d S )Nr   r   r   r3   )r\   lsscalar_search_wolfe1r1   r   )	r9   crX   r   r   r[   r   r   r   r   r   r   test_scalar_search_wolfe1   s    
z(TestLineSearch.test_scalar_search_wolfe1c           	   	   C   s   |   D ]\}}}}t|||d||d\}}}}t||d| t|||| |d urnt|||| t|||| d|dd qd S Nr    gra   )r\   rb   scalar_search_wolfe2r1   r   )	r9   rX   r   r   r[   r   r   r   r   r   r   r   test_scalar_search_wolfe2   s    z(TestLineSearch.test_scalar_search_wolfe2c                 C   s<   dd }dd }t ttj||dd\}}}}|d u s8J d S )Nc                 S   s   | d d S )N   r6   r   alphar   r   r   r      s    zCTestLineSearch.test_scalar_search_wolfe2_with_low_amax.<locals>.phic                 S   s   d| d  S )Nr6   rk   r   rl   r   r   r   r      s    zFTestLineSearch.test_scalar_search_wolfe2_with_low_amax.<locals>.derphigMbP?amax)r   r   rb   ri   r9   r   r   r   _r   r   r   'test_scalar_search_wolfe2_with_low_amax   s    
z6TestLineSearch.test_scalar_search_wolfe2_with_low_amaxc                 C   s4   dd }dd }t ||\}}}}|dk s0J d S )Nc                 S   s@   | dk rdt j d | d  S t dt j d |  t j S d S Nr   r6   r3   )r&   pir@   rl   r   r   r   r      s    z@TestLineSearch.test_scalar_search_wolfe2_regression.<locals>.phic                 S   sF   | dk rdt j d S dt j d t dt j d |  t j  S d S rs   )r&   ru   r?   rl   r   r   r   r      s    zCTestLineSearch.test_scalar_search_wolfe2_regression.<locals>.derphig      ?)rb   ri   rp   r   r   r   $test_scalar_search_wolfe2_regression   s    z3TestLineSearch.test_scalar_search_wolfe2_regressionc                 C   s^   |   D ]P\}}}}t||d|d\}}t|||| t||| d|dd qd S rf   )r\   rb   scalar_search_armijor1   r   )r9   rX   r   r   r[   r   r   r   r   r   test_scalar_search_armijo   s    z(TestLineSearch.test_scalar_search_armijoc                 C   s   d}d}|   D ]\}}}}}}||}	||}
d| _tj|||||
|	||d\}}}}}}t| j||  t||| |d u rqt|||||   t|||||  dd ||k r|d7 }t||||||d q|dksJ d S )	Nr   d   rn      decimalr   ra   r3   )r`   r7   rb   Zline_search_wolfe1r   r1   r   r*   )r9   rd   smaxrX   r    r(   r"   r!   old_ff0g0r   fcgcfvofvgvr   r   r   test_line_search_wolfe1   s(    z&TestLineSearch.test_line_search_wolfe1c                 C   s*  d}d}|   D ]\}}}}}}||}	||}
d| _t N}|td |td tj|||||
|	||d\}}}}}}W d    n1 s0    Y  t| j||  t||| t|||||   |d urt	|||||  dd ||k r|d7 }t
||||||d	 q|d
ks&J d S )Nr   i   z3The line search algorithm could not find a solutionz*The line search algorithm did not convergern   rz   r{   r   ra   r3   )r`   r7   r   filterr   rb   line_search_wolfe2r   r1   r   r*   )r9   rd   r}   rX   r    r(   r"   r!   r~   r   r   supr   r   r   r   r   r   r   r   r   test_line_search_wolfe2   s4    0z&TestLineSearch.test_line_search_wolfe2c              
   C   s   dd }dd }t ddg}d| }d}tj||||d	|d
\}}}}}}t||||| tttj||||d|d
\}}}}}}|d u sJ tttj|||||dd d S )Nc                 S   s   t | | S r   r%   r"   r   r   r   r       s    z8TestLineSearch.test_line_search_wolfe2_bounds.<locals>.fc                 S   s   d|  S )Nr6   r   r   r   r   r   fp   s    z9TestLineSearch.test_line_search_wolfe2_bounds.<locals>.fpr   r   ig      ?   )ro   r      rk   )r   maxiter)r&   arrayrb   r   r*   r   r   )r9   r    r   r!   r"   r   r   rq   r   r   r   test_line_search_wolfe2_bounds   s    "z-TestLineSearch.test_line_search_wolfe2_boundsc                 C   s   d}|   D ]z\}}}}}}||}||}	d| _t||||	|\}
}}|d7 }t| j| t||||
|   t|||
||d q|dksJ d S )Nr   r   ra   r]   )r`   r7   rb   Zline_search_armijor   r1   r+   )r9   rd   rX   r    r(   r"   r!   r~   r   r   r   r   r   r   r   r   test_line_search_armijo  s    z&TestLineSearch.test_line_search_armijoc                    sR   dg  fdd}t j||dddd\}}t|d t d d t|| d S )Nr   c                    s"    d  d7  < |  d| d   S )Nr   r   g{Gz?r6   r   r   countr   r   r   !  s    z3TestLineSearch.test_armijo_terminate_1.<locals>.phir5   r   )Zalpha0r6   )rb   rw   r   r   )r9   r   r   r   r   r   r   test_armijo_terminate_1  s    
z&TestLineSearch.test_armijo_terminate_1c                    s    fdd} fdd}t jt jfD ]j}dg ||||dd |d}|d d us^J ||f d dksvJ  |ft|d ||t|d q$d S )Nc                    s"    d  d7  < |  d| d   S )Nr   r   g?r6   r   r   r   r   r   r   -  s    z0TestLineSearch.test_wolfe_terminate.<locals>.phic                    s    d  d7  < dd|   S )Nr   r   r5   g?r   r   r   r   r   r   1  s    z3TestLineSearch.test_wolfe_terminate.<locals>.derphir   r4   ra   )rb   rc   ri   r   str)r9   r   r   rJ   rr   r   r   test_wolfe_terminate)  s    z#TestLineSearch.test_wolfe_terminateN)__name__
__module____qualname__r:   r=   rA   rC   rF   rZ   r\   r`   re   rj   rr   rv   rx   r   r   r   r   r   r   r   r   r   r   r2   6   s&   
r2   )r   r	   r
   )r   r
   )r
   r,   )__doc__Znumpy.testingr   r   r   r   r   Zscipy.optimize._linesearchoptimizeZ_linesearchrb   r   numpyr&   r   r   r*   r+   r1   r2   r   r   r   r   <module>   s   



