o
    tBh]:                     @   s  d Z ddlmZ ddlZddlmZmZ ddlm	Z	m
Z
 ddlmZ ddlZddlmZ ejejejejejejejd	Zejejejejd
Zdd Zg de_i e_dd Zg de_ejejde_dd Zg de_i e_dd Zg de_i e_dd Zddge_ejejejde_dd Z g de _ejejejd e _d!d" Z!d#d$ge!_ejejejd e!_G d%d& d&Z"G d'd( d(Z#G d)d* d*Z$G d+d, d,Z%G d-d. d.Z&dS )/zA Unit tests for nonlinear solvers
Author: Ondrej Certik
May 2007
    )assert_N)_nonlinroot)diagdot)inv   )pressure_network)andersondiagbroydenlinearmixingexcitingmixingbroyden1broyden2krylov)r
   r   r   r   c                 C   s@   t | j} tg d}d}| |  |t| j|   |   }|S )N)      g      ?r         ?{Gz?)npasarrayTr   float)xdcf r   w/var/www/html/riverr-enterprise-integrations-main/venv/lib/python3.10/site-packages/scipy/optimize/tests/test_nonlin.pyF   s
    r   )r   r   r   r   r   c                 C      | S Nr   r   r   r   r   F2'      r#   )r   r   r            )r   r   c                 C   r    r!   r   r"   r   r   r   F2_lucky0   r$   r(   )r   r   r   r   r   r   c                 C   s6   t g dg dg dg}t g d}||  | S )N)r   g        )r   r)   r   )r   r   r)   )r   r   g      @)r   array)r   Abr   r   r   F38   s   r-   )r   r   r   c                 C   sH   d}|| d  | d  d t | d  t | d   dd|   gS )Ng     @r   r   )r   exp)r   r+   r   r   r   	F4_powellB   s   Dr/   r)   )r   r   r   c                 C   s   t | dtg dS )Nr%   )r   r   r   r   )r	   r   r*   r"   r   r   r   F5M   s   r1   )g       @r   r   r   )r   r   r   c              	   C   sd   | \}}t ddgddgg}t |d |d d  d t |t | d	 g}t j|| S )
Ng/$gffffff-@g+,?grD0?r   r&         r   )r   r*   sinr.   linalgsolve)r   x1x2J0vr   r   r   F6W   s   
r;   g      gffffff?c                   @   sL   e Zd ZdZdddZdddZejjdd Z	d	d
 Z
dd Zdd ZdS )
TestNonlinz
    Check the Broyden methods for a few test problems.

    broyden1, broyden2, and newton_krylov must succeed for
    all functions. Some of the others don't -- tests in KNOWN_BAD are skipped.

    r   c                 C   s2   |||j |ddd}tt|| |k  d S )N   r   )f_tolmaxiterverbose)xinr   r   absolutemax)selfr   funcr>   r   r   r   r   _check_nonlin_funct   s   zTestNonlin._check_nonlin_funcc                 C   s6   t ||j||dddd}tt|j |k  d S )Nr=   r   )ftolr?   dispmethodoptions)r   rA   r   r   rB   funrC   )rD   r   rJ   r>   resr   r   r   _check_rootx   s   

zTestNonlin._check_rootc                 O   s   d S r!   r   )rD   akwr   r   r   _check_func_fail}   s   zTestNonlin._check_func_failc                 C   s^   t ttttttfD ]#}t D ]}||j	 v r%|t
 v r$| || q| || qq	d S r!   )r   r#   r(   r-   r/   r1   r;   SOLVERSvalues	KNOWN_BAD	MUST_WORKrQ   rF   )rD   r   rE   r   r   r   test_problem_nonlin   s   zTestNonlin.test_problem_nonlinc                    s8   d _  fdd}tjttjddd|d t j  d S )NFc                    s   d _ t|  S )NT)_tol_norm_usedr   rB   rC   r"   rD   r   r   local_norm_func   s   z8TestNonlin.test_tol_norm_called.<locals>.local_norm_funcr   r=   r   )r>   r?   r@   tol_norm)rW   nonlinnewton_krylovr   rA   r   )rD   rY   r   rX   r   test_tol_norm_called   s   zTestNonlin.test_tol_norm_calledc                 C   sR   t ttttttfD ]}tD ]}||jv r|t	v r| 
|| q| || qq	d S r!   )r   r#   r(   r-   r/   r1   r;   rR   rT   rU   rQ   rN   )rD   r   methr   r   r   test_problem_root   s   
zTestNonlin.test_problem_rootN)r   )__name__
__module____qualname____doc__rF   rN   pytestmarkxfailrQ   rV   r]   r_   r   r   r   r   r<   k   s    


	r<   c                   @   s   e Zd ZdZeg deeg deeg deeg deeg deeg deeg deeg d	egZd
d eD ZdddZ	dd Z
dd Zdd Zdd Zdd ZdS )
TestSecantzDCheck that some Jacobian approximations satisfy the secant condition)r   r   r   r%   r&   )r   r   r%   r&   r   )r   r%   r&   r   r   )r%   r&   r   r   r   )	   r   rh   r   r   )r   r   rh   r   r   )r&   r&   r2   r   r   )r   r   r2   r&   r   c                 C   s   g | ]}|d  d qS )r   r   r   ).0r   r   r   r   
<listcomp>   s    zTestSecant.<listcomp>r   c              	   K   s6  |di |}| | jd | jd d tt| jdd | jdd D ]s\}\}}||| tt||d D ]-}| j|| d  | j||   }	| j|| d  | j||   }
tt	
|	||
 q:||kr| j|| d  | j||   }	| j|| d  | j||   }
tt	
|	||
  q%dS )z|
        Check that the given Jacobian approximation satisfies secant
        conditions for last `npoints` points.
        r   Nr   r   )setupxsfs	enumeratezipupdaterangeminr   r   allcloser6   )rD   jac_clsnpointsrP   jacjr   r   kdxdfr   r   r   _check_secant   s   .    zTestSecant._check_secantc                 C      |  tj d S r!   )r{   r[   BroydenFirstrX   r   r   r   test_broyden1      zTestSecant.test_broyden1c                 C   r|   r!   )r{   r[   BroydenSecondrX   r   r   r   test_broyden2   r   zTestSecant.test_broyden2c                 C   s   t jdd}|| jd | jd d  tdd }tt| jdd  | jdd  D ]C\}\}}|| j|  }|| j|  }||t	|| d d d f |d d d f  t	|| 7 }|
|| ttj| |ddd	 q+d S )
N皙?alphar   r&   g      $r   绽|=vIh%<=rtolatol)r[   r}   rk   rl   rm   r   identityrn   ro   r   rp   r   rs   todense)rD   rv   Blast_jr   r   rz   ry   r   r   r   test_broyden1_update   s   .8zTestSecant.test_broyden1_updatec                 C   s   t jdd}|| jd | jd d  tdd }tt| jdd  | jdd  D ]E\}\}}|| j|  }|| j|  }||t	|| d d d f |d d d f  t	|| 7 }|
|| ttj| t|ddd	 q+d S )
Nr   r   r   r&   gr   r   r   r   )r[   r   rk   rl   rm   r   r   rn   ro   r   rp   r   rs   r   r   )rD   rv   Hr   r   r   rz   ry   r   r   r   test_broyden2_update   s   .8 zTestSecant.test_broyden2_updatec                 C   s   | j tjdddd d S )Nr   r   )Mw0ru   )r{   r[   AndersonrX   r   r   r   test_anderson   s   zTestSecant.test_andersonN)r   )r`   ra   rb   rc   r   r*   r   rl   rm   r{   r~   r   r   r   r   r   r   r   r   rg      s$    
rg   c                   @   s:   e Zd ZdZdddZdd Zdd Zd	d
 Zdd ZdS )
TestLinearz]Solve a linear equation;
    some methods find the exact solution in a finite number of stepsFc              	      s   t jd t j|| |r dt j||   t j||r,dt j|   fdd}tj|t |||dd dd}tt jt	 |dd d S )	N{                 ?c                    s   t  |  S r!   )r   r"   r+   r,   r   r   rE      s   zTestLinear._check.<locals>.funcư>r   )r?   r>   line_searchr@   )r   )
r   randomseedrandnr[   nonlin_solvezerosr   rs   r   )rD   rv   Nr?   complexrP   rE   solr   r   r   _check   s   zTestLinear._checkc                 C   4   |  tjddddd |  tjddddd d S N      ?r      )   FT)r   r[   r}   rX   r   r   r   r~        zTestLinear.test_broyden1c                 C   r   r   )r   r[   r   rX   r   r   r   r     r   zTestLinear.test_broyden2c                 C   s8   |  tjdddddd |  tjdddddd d S )N2   r   )r   r   r      FT)r   r[   r   rX   r   r   r   r     s   zTestLinear.test_andersonc                 C   s0   | j tjddddd | j tjddddd d S )Nr   r   F
   )inner_mT)r   r[   KrylovJacobianrX   r   r   r   test_krylov  s   zTestLinear.test_krylovN)F)	r`   ra   rb   rc   r   r~   r   r   r   r   r   r   r   r      s    
r   c                   @   sZ   e Zd ZdZdd Zd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 )TestJacobianDotSolvezFCheck that solve/dot methods in Jacobian approximations are consistentc                 C   s   |d d t | j| S )Nr   r   )r   r   r+   rD   r   r   r   r   _func  s   zTestJacobianDotSolve._funcFr   c                    s  t jd d} fdd}fdd}|||| _t j|}|di |}	|	|| || j td| D ]}
||}t|	drt 	|	}t|	d	r_|	
|}t j
||}|||d
 t|	dry|	|}t j
|j |}|||d t|	dr|	|}t ||}|||d t|	dr|	|}t |j |}|||d t|	drt|	d	r|	|}|	
|	|}|||d t|	drt|	dr|	|}|	|	|}|||d ||}|	|| | q8d S )Nr   r2   c                     s(   t jj|  } r|dt jj|    }|S )Nr   )r   r   rand)rO   qr   r   r   r   !  s   z-TestJacobianDotSolve._check_dot.<locals>.randc                    s@   t | |  } t |    }||krtd||f d S )Nz
%s: err %g)absrC   AssertionError)rO   r,   msgr   r   )tolr   r   assert_close'  s
   z5TestJacobianDotSolve._check_dot.<locals>.assert_closer   	__array__r6   zsolve vs arrayrsolvezrsolve vs arraymatveczdot vs arrayrmatveczrmatvec vs arrayzdot vs solvezrmatvec vs rsolver   )r   r   r   r+   r   rk   r   rq   hasattrr*   r6   r5   r   r   conjr   r   r   rp   )rD   rt   r   r   rP   r   r   r   x0rv   rx   r:   JdGvGv2JvJv2r   r   r   r   r   
_check_dot  sN   











zTestJacobianDotSolve._check_dotc                 C   $   | j tjdd | j tjdd d S NFr   T)r   r[   r}   rX   r   r   r   r~   X     z"TestJacobianDotSolve.test_broyden1c                 C   r   r   )r   r[   r   rX   r   r   r   r   \  r   z"TestJacobianDotSolve.test_broyden2c                 C   r   r   )r   r[   r   rX   r   r   r   r   `  r   z"TestJacobianDotSolve.test_andersonc                 C   r   r   )r   r[   DiagBroydenrX   r   r   r   test_diagbroydend  r   z%TestJacobianDotSolve.test_diagbroydenc                 C   r   r   )r   r[   LinearMixingrX   r   r   r   test_linearmixingh  r   z&TestJacobianDotSolve.test_linearmixingc                 C   r   r   )r   r[   ExcitingMixingrX   r   r   r   test_excitingmixingl  r   z(TestJacobianDotSolve.test_excitingmixingc                 C   s(   | j tjddd | j tjddd d S )NFgMbP?r   T)r   r[   r   rX   r   r   r   r   p  s   z TestJacobianDotSolve.test_krylovN)Fr   )r`   ra   rb   rc   r   r   r~   r   r   r   r   r   r   r   r   r   r   r     s    
<r   c                   @   sp   e Zd 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S )TestNonlinOldTestsz Test case for a simple constrained entropy maximization problem
    (the machine translation example of Berger et al in
    Computational Linguistics, vol 22, num 1, pp 39--72, 1996.)
    c                 C   @   t jttjddd}tt |dk  tt t|dk  d S N   r   iterr   &.>)r[   r   r   rA   r   normr   r   r   r   r~   {     z TestNonlinOldTests.test_broyden1c                 C   r   r   )r[   r   r   rA   r   r   r   r   r   r   r     r   z TestNonlinOldTests.test_broyden2c                 C   s,   t jttjdddd}tt |dk  d S )Nr   Q?r&   )r   r   r   Q?)r[   r
   r   rA   r   r   r   r   r   r   r     s   z TestNonlinOldTests.test_andersonc                 C   r   )N<   r   r   Hz>)r[   r   r   rA   r   r   r   r   r   r   r     r   z$TestNonlinOldTests.test_linearmixingc                 C   r   )Nr   r   r   h㈵>)r[   r   r   rA   r   r   r   r   r   r   test_exciting  r   z TestNonlinOldTests.test_excitingc                 C   r   )N   r   r   :0yE>)r[   r   r   rA   r   r   r   r   r   r   r     r   z#TestNonlinOldTests.test_diagbroydenc                 C   H   t ttjddddidd}tt|jdk  tt|jdk  d S )Nr   r   r   r   nitjac_optionsrI   r   r   r   rA   r   r[   r   r   rL   rD   rM   r   r   r   test_root_broyden1  
   
z%TestNonlinOldTests.test_root_broyden1c                 C   r   )Nr   r   r   r   r   rI   r   r   r   r   r   r   test_root_broyden2  r   z%TestNonlinOldTests.test_root_broyden2c                 C   s6   t ttjddddddd}tt|jdk  d S )	Nr
   r   r   r&   )r   r   r   rI   r   )r   r   rA   r   r[   r   r   r   r   r   r   test_root_anderson  s   
z%TestNonlinOldTests.test_root_andersonc                 C   r   )Nr   r   r   r   r   rI   r   r   r   r   r   r   test_root_linearmixing     
z)TestNonlinOldTests.test_root_linearmixingc                 C   r   )Nr   r   r   r   r   rI   r   r   r   r   r   r   test_root_excitingmixing  r   z+TestNonlinOldTests.test_root_excitingmixingc                 C   r   )Nr   r   r   r   r   rI   r   r   r   r   r   r   test_root_diagbroyden  r   z(TestNonlinOldTests.test_root_diagbroydenN)r`   ra   rb   rc   r~   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   u  s    r   )'rc   numpy.testingr   rd   scipy.optimizer   r[   r   numpyr   r   numpy.linalgr   r   test_minpackr	   r
   r   r   r   r   r   r\   rR   rU   r   rA   rT   r#   r(   r-   r/   r1   r;   r<   rg   r   r   r   r   r   r   r   <module>   sj    






	
5L*_