o
    4Bi*                     @   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s4J d|
 t |	t || ksDJ 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phi0derphi0derphi1msg r   d/var/www/html/Trade-python/venv/lib/python3.10/site-packages/scipy/optimize/tests/test_linesearch.pyassert_wolfe   s    $r   c                 C   sL   || }|d}d|  d| d| d| }|d||   | ks$J |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 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(   '   s    )r   r   )r   )r'   r&   r   r%   r-   kwr   )r%   r-   r&   r'   r   assert_line_wolfe%   s
   
r/   c                    s$   t |fd fddi| d S )Nr   c                    r    r!   r   r"   r$   r   r   r(   +   r)   z$assert_line_armijo.<locals>.<lambda>)r   )r'   r&   r   r%   r.   r   r$   r   assert_line_armijo*   s   $r0   2   c              
   C   s@   z	t | || W dS  ty } z
t| d| |d}~ww )zEAssert two arrays are equal, up to some floating-point rounding error
N)r   AssertionError)r'   yr   nulper   r   r   assert_fp_equal.   s   r7   c                   @   s   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd  Zd!d" Zd#d$ 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&   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   r<   )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   r<   )r=   r+   r,   r?   r'   r%   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TrI   r   r   r   _line_func_2R   s   zTestLineSearch._line_func_2c                 C   s   g | _ g | _d| _d| _dd }tt| D ]5}|dr2t| |}| j |||d||df q|drKt| |}| 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   s    zATestLineSearch.setup_method.<locals>.bind_index.<locals>.<lambda>r   rQ   r   rQ   r   
bind_index`   s   z/TestLineSearch.setup_method.<locals>.bind_index_scalar_func_r   _line_func_i  )scalar_funcs
line_funcsNr=   sorteddir
startswithgetattrappendr+   randomseedrandnrL   )r?   rT   namevaluer   r   r   setup_methodZ   s&   



zTestLineSearch.setup_methodc                 c   s8    | j D ]\}}}tjdD ]	}||||fV  qqd S )Nr9   )rW   r+   r_   ra   )r?   rb   r   r   old_phi0r   r   r   scalar_iterq   s   zTestLineSearch.scalar_iterc                 c   s    | j D ]<\}}}d}|dk r@tj| j}tj| j}t|||dkr(q|d7 }ttj }||||||fV  |dk sqd S )Nr   	   r   )rX   r+   r_   ra   rY   r,   float)r?   rb   r%   r-   kr'   r&   old_fvr   r   r   	line_iterv   s   zTestLineSearch.line_iterc           	   	   C   s   d}|   D ]2\}}}}|d7 }t|||d||d\}}}t||d| t|||| t||||d q|dks?J d S )Nr   r   r   r9   )rf   lsscalar_search_wolfe1r7   r   )	r?   crb   r   r   re   r   r   r   r   r   r   test_scalar_search_wolfe1   s   
z(TestLineSearch.test_scalar_search_wolfe1c           	   	   C   s   |   D ]A\}}}}t|||d||d\}}}}t||d| t|||| |d ur7t|||| t|||| d|dd qd S Nr    grl   )rf   rm   scalar_search_wolfe2r7   r   )	r?   rb   r   r   re   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 sJ |d u s J d S )Nc                 S   s   | d d S )N   r<   r   alphar   r   r   r         zCTestLineSearch.test_scalar_search_wolfe2_with_low_amax.<locals>.phic                 S   s   d| d  S )Nr<   rv   r   rw   r   r   r   r      ry   zFTestLineSearch.test_scalar_search_wolfe2_with_low_amax.<locals>.derphigMbP?amaxrm   rt   )r?   r   r   
alpha_star_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 sJ d S )Nc                 S   s<   | dk rdt j d | d  S t dt j d |  t j S Nr   r<   r9   )r+   pirG   rw   r   r   r   r      s   z@TestLineSearch.test_scalar_search_wolfe2_regression.<locals>.phic                 S   sB   | dk rdt j d S dt j d t dt j d |  t j  S r   )r+   r   rF   rw   r   r   r   r      s   ,zCTestLineSearch.test_scalar_search_wolfe2_regression.<locals>.derphig      ?r|   )r?   r   r   r   r~   r   r   r   $test_scalar_search_wolfe2_regression   s   z3TestLineSearch.test_scalar_search_wolfe2_regressionc                 C   s^   |   D ](\}}}}t||d|d\}}t|||| t||| d|dd qd S rq   )rf   rm   scalar_search_armijor7   r   )r?   rb   r   r   re   r   r   r   r   r   test_scalar_search_armijo   s
   z(TestLineSearch.test_scalar_search_armijoc                 C   s   d}d}|   D ]d\}}}}}}||}	||}
d| _tj|||||
|	||d\}}}}}}t| j||  t||| |d u rBqt|||||   t|||||  dd ||k rl|d7 }t||||||d q|dkssJ d S )	Nr   d   rz      decimalr   rl   r9   )rk   r=   rm   line_search_wolfe1r   r7   r   r/   )r?   ro   smaxrb   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 '}|td |td tj|||||
|	||d\}}}}}}W d    n1 sHw   Y  t| j||  t||| t|||||   |d urxt	|||||  dd ||k r|d7 }t
||||||d	 q|d
ksJ d S )Nr   i   z3The line search algorithm could not find a solutionz*The line search algorithm did not convergerz   r   r   r   rl   r9   )rk   r=   r   filterr   rm   line_search_wolfe2r   r7   r   r/   )r?   ro   r   rb   r%   r-   r'   r&   r   r   r   supr   r   r   r   r   r   r   r   r   test_line_search_wolfe2   s8   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 sGJ tttj|||||dd d S )Nc                 S   s   t | | S r!   r*   r'   r   r   r   r%      ry   z8TestLineSearch.test_line_search_wolfe2_bounds.<locals>.fc                 S   s   d|  S )Nr<   r   r   r   r   r   fp   s   z9TestLineSearch.test_line_search_wolfe2_bounds.<locals>.fpr   r   ig      ?   )r{   r      rv   )r   maxiter)r+   arrayrm   r   r/   r   r   )r?   r%   r   r&   r'   r   r   r~   r   r   r   test_line_search_wolfe2_bounds   s   "
z-TestLineSearch.test_line_search_wolfe2_boundsc                 C   s   d}|   D ]=\}}}}}}||}||}	d| _t||||	|\}
}}|d7 }t| j| t||||
|   t|||
||d q|dksJJ d S )Nr   r   rl   rg   )rk   r=   rm   line_search_armijor   r7   r0   )r?   ro   rb   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                    "    d  d7  < |  d| d   S )Nr   r   g{Gz?r<   r   r   countr   r   r   !     z3TestLineSearch.test_armijo_terminate_1.<locals>.phir;   r   )alpha0r<   )rm   r   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 ]5}dg ||||dd |d}|d d us/J ||f d dks;J  |ft|d ||t|d qd S )Nc                    r   )Nr   r   g?r<   r   r   r   r   r   r   -  r   z0TestLineSearch.test_wolfe_terminate.<locals>.phic                    s    d  d7  < dd|   S )Nr   r   r;   g?r   r   r   r   r   r   1  s   z3TestLineSearch.test_wolfe_terminate.<locals>.derphir   r:   rl   )rm   rn   rt   r   str)r?   r   r   rR   rr   r   r   test_wolfe_terminate)  s   z#TestLineSearch.test_wolfe_terminateN)__name__
__module____qualname__rA   rD   rH   rK   rN   rd   rf   rk   rp   ru   r   r   r   r   r   r   r   r   r   r   r   r   r   r8   6   s(    
r8   )r   r	   r
   )r   r
   )r
   r1   )__doc__numpy.testingr   r   r   r   r   scipy.optimize._linesearchoptimize_linesearchrm   r   numpyr+   r   r   r/   r0   r7   r8   r   r   r   r   <module>   s    



