o
    g5B                     @   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_i e_i e_dd Zg de_ejejde_i e_i e_dd Zg de_i e_i e_i e_dd Z g de _i e _i e _i e _dd Z!ddge!_ejejejde!_dhe!_h de!_dd  Z"g d!e"_ejejejd"e"_d#dhe"_dhe"_d$d% Z#d&d'ge#_ejejejd"e#_i e#_i e#_G d(d) d)Z$G d*d+ d+Z%G d,d- d-Z&G d.d/ d/Z'G d0d1 d1Z(dS )2zA 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   ^/home/ubuntu/cloudmapper/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_lucky4   r$   r(   )r   r   r   r   r   r   c                 C   s6   t g dg dg dg}t g d}||  | S )N)r   g        )r   r)   r   )r   r   r)   )r   r   g      @)r   array)r   Abr   r   r   F3>   s   r-   )r   r   r   c                 C   sH   d}|| d  | d  d t | d  t | d   dd|   gS )Ng     @r   r   )r   exp)r   r+   r   r   r   	F4_powellJ   s   Dr/   r)   )r   r   r   minres>   cgsgmrestfqmrr1   bicgstabc                 C   s   t | dtg dS )Nr%   )r   r   r   r   )r	   r   r*   r"   r   r   r   F5Z   s   r6   )g       @r   r   r   )r   r   r   r2   c              	   C   sd   | \}}t ddgddgg}t |d |d d  d t |t | d	 g}t j|| S )
Ng/$gffffff-@g+,?grD0?r   r&         r   )r   r*   sinr.   linalgsolve)r   x1x2J0vr   r   r   F6i   s   
r@   g      gffffff?c                   @   s^   e Zd ZdZdddZdddZejjdd Z	d	d
 Z
ejdg d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   s   |t d kr*dD ]!}||jv rq|||j|d |ddd}tt|| |k  q|||j|ddd}tt|| |k  d S )Nr   r3   r5   r2   r1   r4      r   )methodline_searchf_tolmaxiterverbose)rF   rG   rH   )SOLVERSJAC_KSP_BADxinr   r   absolutemax)selfr   funcrF   rD   r   r   r   r   _check_nonlin_func   s   
zTestNonlin._check_nonlin_funcc              
   C   s   |dkr+dD ]$}||j v rqt||j||ddd|idd}tt|j |k  qt||j||dddd}tt|j |k  d S )	Nr   rB   rC   r   rD   )ftolrG   dispjac_optionsrD   options)rQ   rG   rR   )ROOT_JAC_KSP_BADr   rK   r   r   rL   funrM   )rN   r   rD   rF   
jac_methodresr   r   r   _check_root   s   



zTestNonlin._check_rootc                 O   s   d S r!   r   )rN   akwr   r   r   _check_func_fail   s   zTestNonlin._check_func_failc                 C   s^   t ttttttfD ]#}t D ]}||j	 v r%|t
 v r$| || q| || qq	d S r!   )r   r#   r(   r-   r/   r6   r@   rI   values	KNOWN_BAD	MUST_WORKr]   rP   )rN   r   rO   r   r   r   test_problem_nonlin   s   zTestNonlin.test_problem_nonlinrD   )lgmresr3   r5   r2   r1   r4   c              	      s:   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   rL   rM   r"   rN   r   r   local_norm_func   s   z8TestNonlin.test_tol_norm_called.<locals>.local_norm_funcr   rC   r   )rD   rF   rG   rH   tol_norm)rc   nonlinnewton_krylovr   rK   r   )rN   rD   re   r   rd   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/   r6   r@   rI   r_   r`   r]   rZ   )rN   r   methr   r   r   test_problem_root   s   
zTestNonlin.test_problem_rootN)r   )__name__
__module____qualname____doc__rP   rZ   pytestmarkxfailr]   ra   parametrizeri   rk   r   r   r   r   rA      s    


	
rA   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   ru   r   r   )r   r   ru   r   r   )r&   r&   r7   r   r   )r   r   r7   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   allcloser;   )rN   jac_clsnpointsr\   jacjr   r   kdxdfr   r   r   _check_secant   s   .    zTestSecant._check_secantc                 C      |  tj d S r!   )r   rg   BroydenFirstrd   r   r   r   test_broyden1      zTestSecant.test_broyden1c                 C   r   r!   )r   rg   BroydenSecondrd   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      $r   绽|=vIh%<=rtolatol)rg   r   rx   ry   rz   r   identityr{   r|   r   r}   r   r   todense)rN   r   Blast_jr   r   r   r   r   r   r   test_broyden1_update   s   .8zTestSecant.test_broyden1_updatec                 C   s   t jdd}|| jd | jd d  tdd }tt| jdd  | jdd  D ]E\}\}}|| j|  }|| j|  }||t	|| d d d f |d d d f  t	|| 7 }|
|| ttj| t|ddd	 q+d S )
Nr   r   r   r&   gr   r   r   r   )rg   r   rx   ry   rz   r   r   r{   r|   r   r}   r   r   r   r   )rN   r   Hr   r   r   r   r   r   r   r   test_broyden2_update  s   .8 zTestSecant.test_broyden2_updatec                 C   s   | j tjdddd d S )Nr   r   )Mw0r   )r   rg   Andersonrd   r   r   r   test_anderson  s   zTestSecant.test_andersonN)r   )rl   rm   rn   ro   r   r*   r   ry   rz   r   r   r   r   r   r   r   r   r   r   rt      s$    
rt   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   rO   '  s   zTestLinear._check.<locals>.funcư>r   )rG   rF   rE   rH   )r   )
r   randomseedrandnrg   nonlin_solvezerosr   r   r   )rN   r   NrG   complexr\   rO   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   rg   r   rd   r   r   r   r   .     zTestLinear.test_broyden1c                 C   r   r   )r   rg   r   rd   r   r   r   r   3  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   rg   r   rd   r   r   r   r   8  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   rg   KrylovJacobianrd   r   r   r   test_krylov=  s   zTestLinear.test_krylovN)F)	rl   rm   rn   ro   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+   rN   r   r   r   r   _funcF  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   r7   c                     s(   t jj|  } r|dt jj|    }|S )Nr   )r   r   rand)r[   qr   r   r   r   N  s   z-TestJacobianDotSolve._check_dot.<locals>.randc                    s@   t | |  } t |    }||krtd||f d S )Nz
%s: err %g)absrM   AssertionError)r[   r,   msgr   r   )tolr   r   assert_closeT  s
   z5TestJacobianDotSolve._check_dot.<locals>.assert_closer   	__array__r;   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   rx   r   r~   hasattrr*   r;   r:   r   r   conjr   r   r   r}   )rN   r   r   r   r\   r   r   r   x0r   r   r?   JdGvGv2JvJv2r   r   r   r   r   
_check_dotI  sN   











zTestJacobianDotSolve._check_dotc                 C   $   | j tjdd | j tjdd d S NFr   T)r   rg   r   rd   r   r   r   r        z"TestJacobianDotSolve.test_broyden1c                 C   r   r   )r   rg   r   rd   r   r   r   r     r   z"TestJacobianDotSolve.test_broyden2c                 C   r   r   )r   rg   r   rd   r   r   r   r     r   z"TestJacobianDotSolve.test_andersonc                 C   r   r   )r   rg   DiagBroydenrd   r   r   r   test_diagbroyden  r   z%TestJacobianDotSolve.test_diagbroydenc                 C   r   r   )r   rg   LinearMixingrd   r   r   r   test_linearmixing  r   z&TestJacobianDotSolve.test_linearmixingc                 C   r   r   )r   rg   ExcitingMixingrd   r   r   r   test_excitingmixing  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   rg   r   rd   r   r   r   r     s   z TestJacobianDotSolve.test_krylovN)Fr   )rl   rm   rn   ro   r   r   r   r   r   r   r   r   r   r   r   r   r   r   C  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   &.>)rg   r   r   rK   r   normr   r   r   r   r        z TestNonlinOldTests.test_broyden1c                 C   r   r   )rg   r   r   rK   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?)rg   r
   r   rK   r   r   r   r   r   r   r     s   z TestNonlinOldTests.test_andersonc                 C   r   )N<   r   r   Hz>)rg   r   r   rK   r   r   r   r   r   r   r     r   z$TestNonlinOldTests.test_linearmixingc                 C   r   )Nr   r   r   h㈵>)rg   r   r   rK   r   r   r   r   r   r   test_exciting  r   z TestNonlinOldTests.test_excitingc                 C   r   )N   r   r   :0yE>)rg   r   r   rK   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   nitrS   rT   r   r   r   rK   r   rg   r   r   rW   rN   rY   r   r   r   test_root_broyden1  
   
z%TestNonlinOldTests.test_root_broyden1c                 C   r   )Nr   r   r   r   r   rT   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   rT   r   )r   r   rK   r   rg   r   r   r   r   r   r   test_root_anderson  s   
z%TestNonlinOldTests.test_root_andersonc                 C   r   )Nr   r   r   r   r   rT   r   r   r   r   r   r   test_root_linearmixing     
z)TestNonlinOldTests.test_root_linearmixingc                 C   r   )Nr   r   r   r   r   rT   r   r   r   r   r   r   test_root_excitingmixing  r   z+TestNonlinOldTests.test_root_excitingmixingc                 C   r   )Nr   r   r   r   r   rT   r   r   r   r   r   r   test_root_diagbroyden  r   z(TestNonlinOldTests.test_root_diagbroydenN)rl   rm   rn   ro   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r     s    r   ))ro   numpy.testingr   rp   scipy.optimizer   rg   r   numpyr   r   numpy.linalgr   r   test_minpackr	   r
   r   r   r   r   r   rh   rI   r`   r   rK   r_   rJ   rV   r#   r(   r-   r/   r6   r@   rA   rt   r   r   r   r   r   r   r   <module>   s    








	NL*_