a
    h*                     @   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   s   || }|d}|d}|| }	d|  d| d| d| d|	 d| }
||||  |  kshJ d|
 t |	t || ksJ d	|
 d
S )z2
    Check that strong Wolfe conditions apply
    r   s = ; phi(0) = ; phi(s) = z; phi'(0) = z; phi'(s) = ; zWolfe 1 failed: zWolfe 2 failed: N)abs)sphiderphic1c2err_msgphi1phi0Zderphi0derphi1msg r   `/var/www/html/assistant/venv/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   r   r   r   r      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    r4   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   r9   )r:   r)   expr;   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)r:   r)   sincosr;   r   r   r   _scalar_func_3D   s    zTestLineSearch._scalar_func_3c                 C   s*   |  j d7  _ t||}d| }||fS )Nr   r9   )r:   r)   r*   r<   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   )r:   r)   r*   ATrE   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   rL   r   rL   r   
bind_index`   s    z/TestLineSearch.setup_method.<locals>.bind_indexZ_scalar_func_r   Z_line_func_i  )scalar_funcs
line_funcsNr:   sorteddir
startswithgetattrappendr)   randomseedrandnrG   )r<   rO   namevaluer   r   r   setup_methodZ   s$    



zTestLineSearch.setup_methodc                 c   s6   | j D ]*\}}}tjdD ]}||||fV  qqd S )Nr6   )rP   r)   rX   rZ   )r<   r[   r   r   old_phi0r   r   r   scalar_iterq   s    zTestLineSearch.scalar_iterc                 c   s~   | j D ]r\}}}d}|dk rtj| j}tj| j}t|||dkrNq|d7 }ttj }||||||fV  qqd S )Nr   	   r   )rQ   r)   rX   rZ   rR   r*   float)r<   r[   r#   r+   kr%   r$   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   r6   )r_   lsscalar_search_wolfe1r4   r   )	r<   cr[   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    grd   )r_   re   scalar_search_wolfe2r4   r   )	r<   r[   r   r   r^   r   r   r   r   r   r   r   test_scalar_search_wolfe2   s    z(TestLineSearch.test_scalar_search_wolfe2c                 C   sD   dd }dd }t j||dd\}}}}|d u s4J |d u s@J d S )Nc                 S   s   | d d S )N   r9   r   alphar   r   r   r      s    zCTestLineSearch.test_scalar_search_wolfe2_with_low_amax.<locals>.phic                 S   s   d| d  S )Nr9   rn   r   ro   r   r   r   r      s    zFTestLineSearch.test_scalar_search_wolfe2_with_low_amax.<locals>.derphigMbP?amaxre   rl   )r<   r   r   Z
alpha_star_Zderphi_starr   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   r9   r6   )r)   pirC   ro   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 rv   )r)   rx   rB   ro   r   r   r   r      s    zCTestLineSearch.test_scalar_search_wolfe2_regression.<locals>.derphig      ?rs   )r<   r   r   r   rt   r   r   r   $test_scalar_search_wolfe2_regression   s    z3TestLineSearch.test_scalar_search_wolfe2_regressionc                 C   s^   |   D ]P\}}}}t||d|d\}}t|||| t||| d|dd qd S ri   )r_   re   scalar_search_armijor4   r   )r<   r[   r   r   r^   r   r   r   r   r   test_scalar_search_armijo   s    z(TestLineSearch.test_scalar_search_armijoc                 C   s   d}d}|   D ]\}}}}}}||}	||}
d| _tj|||||
|	||d\}}}}}}t| j||  t||| |d u rqt|||||   t|||||  dd ||k r|d7 }t||||||d q|dksJ d S )	Nr   d   rq      decimalr   rd   r6   )rc   r:   re   Zline_search_wolfe1r   r4   r   r-   )r<   rg   smaxr[   r#   r+   r%   r$   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 convergerq   r}   r~   r   rd   r6   )rc   r:   r   filterr   re   line_search_wolfe2r   r4   r   r-   )r<   rg   r   r[   r#   r+   r%   r$   r   r   r   supr   r   r   r   r   r   r   r   r   test_line_search_wolfe2   s4    0z&TestLineSearch.test_line_search_wolfe2c              
   C   s   dd }dd }t ddg}d| }d}tj||||d	|d
\}}}}}}t||||| tttj||||d|d
\}}}}}}|d u sJ tttj|||||dd d S )Nc                 S   s   t | | S r   r(   r%   r   r   r   r#      s    z8TestLineSearch.test_line_search_wolfe2_bounds.<locals>.fc                 S   s   d|  S )Nr9   r   r   r   r   r   fp   s    z9TestLineSearch.test_line_search_wolfe2_bounds.<locals>.fpr   r   ig      ?   )rr   r      rn   )r   maxiter)r)   arrayre   r   r-   r   r   )r<   r#   r   r$   r%   r   r   rt   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   rd   r`   )rc   r:   re   Zline_search_armijor   r4   r.   )r<   rg   r[   r#   r+   r%   r$   r   r   r   r   r   r   r   r   r   test_line_search_armijo  s    z&TestLineSearch.test_line_search_armijoc                    sR   dg  fdd}t j||dddd\}}t|d t d d t|| d S )Nr   c                    s"    d  d7  < |  d| d   S )Nr   r   g{Gz?r9   r   r   countr   r   r   !  s    z3TestLineSearch.test_armijo_terminate_1.<locals>.phir8   r   )Zalpha0r9   )re   rz   r   r   )r<   r   r   r   r   r   r   test_armijo_terminate_1  s    
z&TestLineSearch.test_armijo_terminate_1c                    s    fdd} fdd}t jt jfD ]j}dg ||||dd |d}|d d us^J ||f d dksvJ  |ft|d ||t|d q$d S )Nc                    s"    d  d7  < |  d| d   S )Nr   r   g?r9   r   r   r   r   r   r   -  s    z0TestLineSearch.test_wolfe_terminate.<locals>.phic                    s    d  d7  < dd|   S )Nr   r   r8   g?r   r   r   r   r   r   1  s    z3TestLineSearch.test_wolfe_terminate.<locals>.derphir   r7   rd   )re   rf   rl   r   str)r<   r   r   rM   rr   r   r   test_wolfe_terminate)  s    z#TestLineSearch.test_wolfe_terminateN)__name__
__module____qualname__r=   r@   rD   rF   rI   r]   r_   rc   rh   rm   ru   ry   r{   r   r   r   r   r   r   r   r   r   r   r5   6   s&   
r5   )r   r	   r
   )r   r
   )r
   r/   )__doc__Znumpy.testingr   r   r   r   r   Zscipy.optimize._linesearchoptimizeZ_linesearchre   r   numpyr)   r   r   r-   r.   r4   r5   r   r   r   r   <module>   s   



