o
    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   sx   || }|d}|d}|| }	d | ||||	|}
||||  |  ks*J d|
 t|	t|| ks:J 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phi0derphi0derphi1msg r   _/var/www/html/scripts/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   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 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   $r-   2   c              
   C   s@   z	t | || W dS  ty } z
t| d| |d}~ww )zEAssert two arrays are equal, up to some floating-point rounding error
N)r   AssertionError)r$   yr   nulper   r   r   assert_fp_equal.   s   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$ Zd%d& Zd'S )(TestLineSearchc                 C   sH   |  j d7  _ | |d  |d  }dd|d   d|d   }||fS )Nr            )fcountselfr   r#   dpr   r   r   _scalar_func_18   s   zTestLineSearch._scalar_func_1c                 C   sF   |  j d7  _ td| |d  }dtd|  d|  }||fS )Nr   r9   )r:   r(   expr;   r   r   r   _scalar_func_2>   s   zTestLineSearch._scalar_func_2c                 C   s8   |  j d7  _ td|  }dtd|  }||fS )Nr   
   i)r:   r(   sincosr;   r   r   r   _scalar_func_3D   s   zTestLineSearch._scalar_func_3c                 C   s*   |  j d7  _ t||}d| }||fS )Nr   r9   )r:   r(   r)   r<   r$   r"   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TrF   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   rN   r   rN   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randnrI   )r<   rQ   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 )Nr6   )rT   r(   r\   r^   )r<   r_   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   )rU   r(   r\   r^   rV   r)   float)r<   r_   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   r6   )rc   lsscalar_search_wolfe1r4   r   )	r<   cr_   r   r   rb   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    gri   )rc   rj   scalar_search_wolfe2r4   r   )	r<   r_   r   r   rb   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 sJ d S )Nc                 S   s   | d d S )N   r9   r   alphar   r   r   r         zCTestLineSearch.test_scalar_search_wolfe2_with_low_amax.<locals>.phic                 S   s   d| d  S )Nr9   rs   r   rt   r   r   r   r      rv   zFTestLineSearch.test_scalar_search_wolfe2_with_low_amax.<locals>.derphigMbP?amax)r   r   rj   rq   r<   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 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   r9   r6   )r(   pirD   rt   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~   rC   rt   r   r   r   r      s   ,zCTestLineSearch.test_scalar_search_wolfe2_regression.<locals>.derphig      ?)rj   rq   ry   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 rn   )rc   rj   scalar_search_armijor4   r   )r<   r_   r   r   rb   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   rw      decimalr   ri   r6   )rh   r:   rj   line_search_wolfe1r   r4   r   r,   )r<   rl   smaxr_   r"   r*   r$   r#   old_ff0g0r   fcgcfvofvgvr   r   r   test_line_search_wolfe1   s*   z&TestLineSearch.test_line_search_wolfe1c                 C   s&  d}d}|   D ]\}}}}}}||}	||}
d| _t '}|td |td tj|||||
|	||d\}}}}}}W d    n1 sHw   Y  t| j||  t||| t|||||   |d urxt	|||||  dd ||k r|d7 }t
||||||d	 q|d
ksJ d S )Nr   i   z3The line search algorithm could not find a solutionz*The line search algorithm did not convergerw   r   r   r   ri   r6   )rh   r:   r   filterr   rj   line_search_wolfe2r   r4   r   r,   )r<   rl   r   r_   r"   r*   r$   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$   r   r   r   r"      rv   z8TestLineSearch.test_line_search_wolfe2_bounds.<locals>.fc                 S   s   d|  S )Nr9   r   r   r   r   r   fp   s   z9TestLineSearch.test_line_search_wolfe2_bounds.<locals>.fpr   r   ig      ?   )rx   r      rs   )r   maxiter)r(   arrayrj   r   r,   r   r   )r<   r"   r   r#   r$   r   r   rz   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   ri   rd   )rh   r:   rj   line_search_armijor   r4   r-   )r<   rl   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                    "    d  d7  < |  d| d   S )Nr   r   g{Gz?r9   r   r   countr   r   r   !     z3TestLineSearch.test_armijo_terminate_1.<locals>.phir8   r   )alpha0r9   )rj   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?r9   r   r   r   r   r   r   -  r   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   ri   )rj   rk   rq   r   str)r<   r   r   rO   rr   r   r   test_wolfe_terminate)  s   z#TestLineSearch.test_wolfe_terminateN)__name__
__module____qualname__r>   rA   rE   rH   rK   ra   rc   rh   rm   rr   r{   r   r   r   r   r   r   r   r   r   r   r   r   r5   6   s(    
r5   )r   r	   r
   )r   r
   )r
   r.   )__doc__numpy.testingr   r   r   r   r   scipy.optimize._linesearchoptimize_linesearchrj   r   numpyr(   r   r   r,   r-   r4   r5   r   r   r   r   <module>   s    



