o
    &?eS_                     @   s  d Z ddlZddlmZmZmZmZmZmZm	Z	m
Z
mZmZmZ ddlmZmZmZmZmZmZ ddlmZ ddlmZmZmZ G dd dZG d	d
 d
ZG dd deZG dd deZG dd dZ G dd dZ!G dd dZ"G dd de"Z#G dd de"Z$G dd de"Z%G dd de"Z&e#e$e%e&gZ'dd Z(dd  Z)d!d" Z*d#d$ Z+d%d& Z,d'd( Z-d)d* Z.d+d, Z/G d-d. d.Z0G d/d0 d0e0Z1G d1d2 d2e0Z2G d3d4 d4e0Z3G d5d6 d6e0Z4G d7d8 d8e0Z5d9d: Z6d;d< Z7d=d> Z8d?d@ Z9dAdB Z:dS )Cz"
Tests for numerical integration.
    N)arangezerosarraydotsqrtcossineyepiexpallclose)assert_assert_array_almost_equalassert_allcloseassert_array_equalassert_equalassert_warns)raises)odeintodecomplex_odec                   @   s   e Zd Zdd Zdd ZdS )
TestOdeintc                    s   t d jd}t j j|dd\}}t || t fdd j|ddd\}}t || t drmt j j| jdd	\}}t || t fd
d j| fddddd\}}t || d S d S )N        g?Tfull_outputc                         || S Nftyproblem e/home/www/facesmatcher.com/pyenv/lib/python3.10/site-packages/scipy/integrate/tests/test_integrate.py<lambda>       z(TestOdeint._do_problem.<locals>.<lambda>)r   tfirstjac)Dfunr   c                    r   r   r   r   r"   r$   r%   r&   *   r'   c                    r   r   r)   r   r"   r$   r%   r&   +   r'   )r*   r   r(   )	r   stop_tr   r   z0r   verifyhasattrr)   )selfr#   r    zZinfodictr$   r"   r%   _do_problem   s$   




zTestOdeint._do_problemc                 C   s&   t D ]}| }|jrq| | qd S r   PROBLEMScmplxr2   r0   Zproblem_clsr#   r$   r$   r%   test_odeint/   s   zTestOdeint.test_odeintN)__name__
__module____qualname__r2   r7   r$   r$   r$   r%   r      s    r   c                   @   s   e Zd ZdZdddZdS )TestODEClassNadamsc           	         s    fdd}d }t  dr fdd}i } jd us jd ur) j|d<  j|d< | ||}|j|f jd  jd |d	| |j jd
d |	 j
}t||j t|  |f t| dk |f t t|g j
 |f d S )Nc                    r   r   r   r    r1   r"   r$   r%   r   >      z#TestODEClass._do_problem.<locals>.fr)   c                    r   r   r+   r=   r"   r$   r%   r)   B   r>   z%TestODEClass._do_problem.<locals>.jacubandlband
   )atolrtolmethodr   )r    r   )r/   r@   r?   	ode_classset_integratorrB   rC   set_initial_valuer-   	integrater,   r   r!   r   Z
successfulZget_return_coder.   r   )	r0   r#   
integratorrD   r   r)   Zintegrator_paramsigr1   r$   r"   r%   r2   ;   s,   


"zTestODEClass._do_problem)r<   )r8   r9   r:   rE   r2   r$   r$   r$   r%   r;   7   s    r;   c                   @   sH   e Zd ZeZdd Zdd Zdd Zdd Zd	d
 Z	dd Z
dd ZdS )TestOdec                 C   s>   t D ]}| }|jrq|js| |dd | |dd qd S Nvoder<   bdf)r4   r5   stiffr2   r6   r$   r$   r%   	test_vode^   s   zTestOde.test_vodec                 C   s6   t D ]}| }|js| |dd | |dd qd S )Nzvoder<   rN   r4   rO   r2   r6   r$   r$   r%   
test_zvodeh   s   zTestOde.test_zvodec                 C   s(   t D ]}| }|jrq| |d qd S Nlsodar3   r6   r$   r$   r%   
test_lsodap   s   zTestOde.test_lsodac                 C   <   t D ]}| }|jrq|jrqt|drq| |d qd S Nr)   dopri5r4   r5   rO   r/   r2   r6   r$   r$   r%   test_dopri5x      
zTestOde.test_dopri5c                 C   rW   Nr)   dop853rZ   r6   r$   r$   r%   test_dop853   r\   zTestOde.test_dop853c                 C   s~   dD ]:}dd }t ||}|dd t ||}|dd ||jd  ||jd  tt|j|jd  qd S )N)rM   rQ   rU   c                 S      dS N      ?r$   r   r$   r$   r%   r         z'TestOde.test_concurrent_fail.<locals>.fr   皙?)r   rF   rG   rH   r    assert_raisesRuntimeError)r0   solr   rr2r$   r$   r%   test_concurrent_fail   s   zTestOde.test_concurrent_failc                 C   sF  dd }t dD ]}dD ]@}t||}|dd t||}|dd ||jd  ||jd  ||jd  t|jd t|jd qdD ]P}t||}|dd t||}|dd ||jd  ||jd  ||jd  ||jd  ||jd  t|jd	 t|jd qOqd S )
Nc                 S   r`   ra   r$   r   r$   r$   r%   r      rc   z%TestOde.test_concurrent_ok.<locals>.f   )rM   rQ   rU   rY   r^   r   rd   g?rY   r^   g333333?)ranger   rF   rG   rH   r    r   r!   )r0   r   krg   rh   ri   r$   r$   r%   test_concurrent_ok   s4   zTestOde.test_concurrent_okN)r8   r9   r:   r   rE   rP   rS   rV   r[   r_   rj   ro   r$   r$   r$   r%   rK   Z   s    
rK   c                   @   s0   e Zd ZeZdd Zdd Zdd Zdd Zd	S )
TestComplexOdec                 C   s8   t D ]}| }|js| |dd q| |dd qd S rL   rR   r6   r$   r$   r%   rP      s   zTestComplexOde.test_vodec                 C   s    t D ]}| }| |d qd S rT   )r4   r2   r6   r$   r$   r%   rV      s   zTestComplexOde.test_lsodac                 C   4   t D ]}| }|jrqt|drq| |d qd S rX   r4   rO   r/   r2   r6   r$   r$   r%   r[         
zTestComplexOde.test_dopri5c                 C   rq   r]   rr   r6   r$   r$   r%   r_      rs   zTestComplexOde.test_dop853N)	r8   r9   r:   r   rE   rP   rV   r[   r_   r$   r$   r$   r%   rp      s    	
rp   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S )
TestSoloutc           	         s   g  g d}d}ddg} fdd}dd }t ||}|| ||| ||}td	 | td
 | t d	 | t d
 | d S )Nr         $@rb          @c                         |   |  d S r   appendcopyr   tsysr$   r%   solout      
z+TestSolout._run_solout_test.<locals>.soloutc                 S      |d |d  |d d  gS Nr         r$   r   r$   r$   r%   rhs      z(TestSolout._run_solout_test.<locals>.rhsr   )r   rF   
set_soloutrG   rH   r   r   	r0   rI   t0tendy0r~   r   rJ   retr$   r{   r%   _run_solout_test   s   

zTestSolout._run_solout_testc                 C      dD ]}|  | qd S Nrl   r   r0   rI   r$   r$   r%   test_solout     zTestSolout.test_soloutc           	         s   g  g d}d}ddg} fdd}dd }t ||}||| || ||}td	 | td
 | t d	 | t d
 | d S )Nr   ru   rb   rv   c                    rw   r   rx   r   r{   r$   r%   r~     r   z9TestSolout._run_solout_after_initial_test.<locals>.soloutc                 S   r   r   r$   r   r$   r$   r%   r     r   z6TestSolout._run_solout_after_initial_test.<locals>.rhsr   r   )r   rF   rG   r   rH   r   r   r   r$   r{   r%   _run_solout_after_initial_test
  s   

z)TestSolout._run_solout_after_initial_testc                 C   r   r   )r   r   r$   r$   r%   test_solout_after_initial"  r   z$TestSolout.test_solout_after_initialc                    s   g g d}d ddg} fdd}dd }t ||}|| ||| | }td	 | td
 | td	 | td
  d k td
  k  d S )Nr   ru   rb   rv   c                    ,    |   |  |  d krdS d S Nrv   r   rx   r   r   r|   r}   r$   r%   r~   .  
   
z1TestSolout._run_solout_break_test.<locals>.soloutc                 S   r   r   r$   r   r$   r$   r%   r   4  r   z.TestSolout._run_solout_break_test.<locals>.rhsr   r   )r   rF   r   rG   rH   r   r   r   r0   rI   r   r   r~   r   rJ   r   r$   r   r%   _run_solout_break_test&  s    

z!TestSolout._run_solout_break_testc                 C   r   r   r   r   r$   r$   r%   test_solout_breakA  r   zTestSolout.test_solout_breakN)	r8   r9   r:   r   r   r   r   r   r   r$   r$   r$   r%   rt      s    rt   c                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
TestComplexSoloutc           	         s   g  g d}d}dg} fdd}dd }t ||}|| ||| ||}td | td | t d | t d | d S )	Nr         4@c                    rw   r   rx   r   r{   r$   r%   r~   P  r   z2TestComplexSolout._run_solout_test.<locals>.soloutc                 S      d| d d  gS Nrb   ru                 ?r$   r   r$   r$   r%   r   T     z/TestComplexSolout._run_solout_test.<locals>.rhsr   r   )r   rF   r   rG   rH   r   r   r   r$   r{   r%   r   H  s   

z"TestComplexSolout._run_solout_testc                 C   r   r   r   r   r$   r$   r%   r   `  r   zTestComplexSolout.test_soloutc                    s   g g d}d dg} fdd}dd }t ||}|| ||| | }td | td | td | td  d	 k td  k  d S )
Nr   r   c                    r   r   rx   r   r   r$   r%   r~   l  r   z8TestComplexSolout._run_solout_break_test.<locals>.soloutc                 S   r   r   r$   r   r$   r$   r%   r   r  r   z5TestComplexSolout._run_solout_break_test.<locals>.rhsr   r   rv   )r   rF   r   rG   rH   r   r   r   r   r$   r   r%   r   d  s    

z(TestComplexSolout._run_solout_break_testc                 C   r   r   r   r   r$   r$   r%   r     r   z#TestComplexSolout.test_solout_breakN)r8   r9   r:   r   r   r   r   r$   r$   r$   r%   r   F  s
    r   c                   @   s0   e Zd ZdZdZdZdZg ZdZdZ	dZ
dZdS )ODEz
    ODE problem
    Fr   Ngư>gh㈵>)r8   r9   r:   __doc__rO   r5   r,   r-   r@   r?   rB   rC   r$   r$   r$   r%   r     s    r   c                   @   s:   e Zd ZdZdZeddgeZdZdZ	dd Z
dd	 Zd
S )SimpleOscillatorz
    Free vibration of a simple oscillator::
        m \ddot{u} + k u = 0, u(0) = u_0 \dot{u}(0) \dot{u}_0
    Solution::
        u(t) = u_0*cos(sqrt(k/m)*t)+\dot{u}_0*sin(sqrt(k/m)*t)/sqrt(k/m)
    gq=
ףp?rb   rd   g      @c                 C   s.   t dt}d|d< | j | j |d< t||S )N)r   r   rb   r   r   )r   r   )r   floatrn   mr   )r0   r1   r    tmpr$   r$   r%   r     s   

zSimpleOscillator.fc                 C   s`   t | j| j }| jd t||  | jd t||  |  }t||d d df | j| jdS )Nr   r   rB   rC   )	r   rn   r   r-   r   r   r   rB   rC   )r0   zsr    omegaur$   r$   r%   r.     s   0 zSimpleOscillator.verifyN)r8   r9   r:   r   r,   r   r   r-   rn   r   r   r.   r$   r$   r$   r%   r     s    r   c                   @   s@   e Zd ZdZde Zeg dZdZdd Z	dd Z
d	d
 ZdS )
ComplexExpzThe equation :lm:`\dot u = i u`gGz?)r   y               @y              @y              @y              @Tc                 C   s   d| S )Nr   r$   r0   r1   r    r$   r$   r%   r        zComplexExp.fc                 C   s   dt d S )Nr      )r	   r   r$   r$   r%   r)     r>   zComplexExp.jacc                 C   s&   | j td|  }t||| j| jdS )Nr   r   )r-   r   r   rB   rC   r0   r   r    r   r$   r$   r%   r.     s   zComplexExp.verifyN)r8   r9   r:   r   r
   r,   r   r-   r5   r   r)   r.   r$   r$   r$   r%   r     s    r   c                   @   s.   e Zd ZdZdZdgZdZdd Zdd Zd	S )
Piz'Integrate 1/(t + 1j) from t=-10 to t=10   r   Tc                 C   s   t d|d d  gS )Nrb   rA   r   r   r   r$   r$   r%   r        zPi.fc                 C   s.   dt d }t||dd d f | j| jdS )Ny              rA   r   r   )npZarctanr   rB   rC   r   r$   r$   r%   r.     s    z	Pi.verifyN)	r8   r9   r:   r   r,   r-   r5   r   r.   r$   r$   r$   r%   r     s    r   c                   @   sH   e Zd ZdZdZdZg dZdZdZg dZ	dd	 Z
d
d Zdd ZdS )CoupledDecayze
    3 coupled decays suited for banded treatment
    (banded mode makes it necessary when N>>3)
    T      ?)g      @g      @g      *@r   r   )g(\?gq=
ףp?g(\?c                 C   s`   | j }t|d  |d  |d  |d  |d |d   |d  |d  |d |d   gS r   )lmbdr   r   )r0   r1   r    r   r$   r$   r%   r     s
     zCoupledDecay.fc                    s   j }tjjj d dfdd  fdd}|dd|d   |dd|d  |dd|d   |dd|d  |dd|d    S )	Nr   rk   Forderc                    s   | j |  | |f< d S r   )r?   )ricivaljr0   r$   r%   set_j  s   zCoupledDecay.jac.<locals>.set_jr   r   )r   r   r   r@   r?   )r0   r1   r    r   r   r$   r   r%   r)     s   zCoupledDecay.jacc              
   C   s8  t | j}|d |d  }|d |d  }|d |d  }t |d  | }t |d  | }t |d  | }	t | jd | | jd | | jd |d  | ||   | jd |	 | jd |d  | ||	   |d |d  | jd  | d| ||	  d| ||	     f }
t|
|| j| j	dS )Nr   r   r   r   )
r   r   r   r   Zvstackr-   Z	transposer   rB   rC   )r0   r   r    r   Zd10Zd21Zd20Ze0e1e2r   r$   r$   r%   r.     s&   **zCoupledDecay.verifyN)r8   r9   r:   r   rO   r,   r-   r@   r?   r   r   r)   r.   r$   r$   r$   r%   r     s    r   c                 C   s   |d |d  g}|S Nr   r   r$   )r    xdxdtr$   r$   r%   r     s   r   c                 C   s   t ddgddgg}|S )Nr   rb         r   )r    r   r   r$   r$   r%   r)     s   r)   c                 C   s   ||d  | |d  g}|S r   r$   r    r   r   r   r$   r$   r%   f1      r   c                 C   s   t d|g| dgg}|S Nr   r   r    r   r   r   r$   r$   r%   jac1%     r   c                 C   s   ||d  | |d  g}|S r   r$   )r    r   omega1omega2r   r$   r$   r%   f2+  r   r   c                 C   s   t d|g| dgg}|S r   r   )r    r   r   r   r   r$   r$   r%   jac20  r   r   c                 C   s&   |d |d  |d  |d  g}|S )Nr   r   r$   r   r$   r$   r%   fv6  s   "r   c                 C   s"   t d|d g|d  dgg}|S )Nr   r   r   r   r   r$   r$   r%   jacv;  s   r   c                   @   sP   e Zd ZdZdZdZdd Zdd Zdd	 Zd
d Z	dd Z
dd Zdd ZdS )ODECheckParameterUsez=Call an ode-class solver with several cases of parameter use. Fc                 C   s@   t ||}| jr|j| jdd| jd |S |j| jddd |S )Ng&.>gHz>)rB   rC   Zwith_jacobianr   )r   solver_uses_jacrF   solver_name)r0   r   r)   solverr$   r$   r%   _get_solverJ  s   
z ODECheckParameterUse._get_solverc                 C   s2   ddg}| |d |t t|jddg d S )Nrb   r   r   )rG   rH   r
   r   r!   r0   r   Zicr$   r$   r%   _check_solverV  s   
z"ODECheckParameterUse._check_solverc                 C   s   |  tt}| | d S r   )r   r   r)   r   )r0   r   r$   r$   r%   test_no_params\  s   z#ODECheckParameterUse.test_no_paramsc                 C   s8   |  tt}d}|| | jr|| | | d S ra   )r   r   r   set_f_paramsr   set_jac_paramsr   r0   r   r   r$   r$   r%   test_one_scalar_param`  s   

z*ODECheckParameterUse.test_one_scalar_paramc                 C   s@   |  tt}d}d}||| | jr||| | | d S ra   )r   r   r   r   r   r   r   )r0   r   r   r   r$   r$   r%   test_two_scalar_paramsh  s   z+ODECheckParameterUse.test_two_scalar_paramsc                 C   s<   |  tt}ddg}|| | jr|| | | d S ra   )r   r   r   r   r   r   r   r   r$   r$   r%   test_vector_paramq  s   

z&ODECheckParameterUse.test_vector_paramc                 C   sB   |  tt}|j| jdd ddg}||d tt|jt	 d S )Nr   )Znstepsrb   r   )
r   r   r)   rF   r   rG   r   UserWarningrH   r
   r   r$   r$   r%   test_warns_on_failurey  s
   z*ODECheckParameterUse.test_warns_on_failureN)r8   r9   r:   r   r   r   r   r   r   r   r   r   r   r$   r$   r$   r%   r   A  s    	r   c                   @      e Zd ZdZdZdS )TestDOPRI5CheckParameterUserY   FNr8   r9   r:   r   r   r$   r$   r$   r%   r         r   c                   @   r   )TestDOP853CheckParameterUser^   FNr   r$   r$   r$   r%   r     r   r   c                   @   r   )TestVODECheckParameterUserM   TNr   r$   r$   r$   r%   r     r   r   c                   @   r   )TestZVODECheckParameterUserQ   TNr   r$   r$   r$   r%   r     r   r   c                   @   r   )TestLSODACheckParameterUserU   TNr   r$   r$   r$   r%   r     r   r   c                  C   s:   d} dg}t dd | |dd\}}t|t| gg d S )Nr   r   c                 S   s   |  S r   r$   )r!   r    r$   r$   r%   r&     s    z*test_odeint_trivial_time.<locals>.<lambda>Tr   )r   r   r   r   )r   r    r!   infor$   r$   r%   test_odeint_trivial_time  s   r   c                     s  dd dd dd } dd   fd	d
}t g dg dg dg dg}td}t g d}t|||fddddd	\}}t|||fdddd| dd
\}}t|||fdddd ddd\}	}
t|||fdddd|dddd\}}t||dd t||	ddd t|	|d d t|d! |d!  t|
d! |d!  tfd"d#|||fddddfd$d#dd%
\}}t||dd&d' d S )(Nc                 S   s
   | | S r   )r   r!   r    cr$   r$   r%   func     
z)test_odeint_banded_jacobian.<locals>.funcc                 S   s   |S r   r$   r   r$   r$   r%   r)     rc   z(test_odeint_banded_jacobian.<locals>.jacc                 S   s   |j jddS NCr   Trz   r   r$   r$   r%   jac_transpose  s   z2test_odeint_banded_jacobian.<locals>.jac_transposec              
   S   sT   t t jdt |df t |t jt |ddf t jt |dddf f}|S )Nr   r   r   )r   Z	row_stackZr_Zdiag)r!   r    r   r)   r$   r$   r%   	bjac_rows  s   z.test_odeint_banded_jacobian.<locals>.bjac_rowsc                    s    | ||j jddS r   r   r   )r   r$   r%   	bjac_cols  r   z.test_odeint_banded_jacobian.<locals>.bjac_cols)i3{Gz?r   r   )rd   g      g{Gz?r   )gMbP?r   g       r   )r   r   rd   r      )r   r   rA   d   TgvIh%<=gdy=i'  )argsr   rB   rC   mxstepr*   )r  r   rB   rC   r  r*   	col_derivr   r   )r  r   rB   rC   r  r*   mlmu)	r  r   rB   rC   r  r*   r  r  r  zsol1 != sol2)err_msg-q=zsol1 != sol3)rB   r  zsol3 != sol4Znjec                        || |S r   r$   r    r!   r   )r   r$   r%   r&     r'   z-test_odeint_banded_jacobian.<locals>.<lambda>c                    r	  r   r$   r
  r+   r$   r%   r&     r'   )r  r   rB   rC   r  r*   r(   zsol1 != sol1ty)rC   r  )r   r   onesr   r   r   )r   r   r   r   r    Zsol1Zinfo1Zsol2Zinfo2Zsol3Zinfo3Zsol4Zinfo4Zsol1tyZinfo1tyr$   )r   r   r)   r%   test_odeint_banded_jacobian  sN   





r  c                  C   s   dd } dd }dd }dd }d	d
 }dd }dd }t tt|dddg t tt|dddg t tt| dddg|d t tt| dddg|d t tt|ddgddg|d d S )Nc                 S      d|  S Nr$   r   r    r$   r$   r%   sys1d  r   z!test_odeint_errors.<locals>.sys1dc                 S      dd S Nrb   r   r$   r  r$   r$   r%   bad1  r   z test_odeint_errors.<locals>.bad1c                 S   r`   NZfoor$   r  r$   r$   r%   bad2  rc   z test_odeint_errors.<locals>.bad2c                 S   r  r  r$   r  r$   r$   r%   bad_jac1  r   z$test_odeint_errors.<locals>.bad_jac1c                 S   s   dggS r  r$   r  r$   r$   r%   bad_jac2  r   z$test_odeint_errors.<locals>.bad_jac2c                 S   s   d| d  d| d  gS )Nr  r   皙r   r$   r  r$   r$   r%   sys2d  s   z!test_odeint_errors.<locals>.sys2dc                 S   s   dd dgddggS )Nrb   r   r  r$   r  r$   r$   r%   sys2d_bad_jac   s   z)test_odeint_errors.<locals>.sys2d_bad_jacrb   r   r   r*   )re   ZeroDivisionErrorr   
ValueError)r  r  r  r  r  r  r  r$   r$   r%   test_odeint_errors  s   
r  c                  C   s   dd } dd }dd }ddgddgg}t tt||ddg ddgd	d
gg}t tt|dg| t tt| dddg t tt|ddgddg|d d S )Nc                 S   s   ddgS )Nr   r   r$   r  r$   r$   r%   badrhs  r   z&test_odeint_bad_shapes.<locals>.badrhsc                 S   r  r  r$   r  r$   r$   r%   sys1  r   z$test_odeint_bad_shapes.<locals>.sys1c                 S   s
   g dgS )N)r   r   r   r$   r  r$   r$   r%   badjac  r   z&test_odeint_bad_shapes.<locals>.badjacr   r   r   rk   ru   rA   r  )re   r  r   rf   )r   r!  r"  Zbad_y0Zbad_tr$   r$   r%   test_odeint_bad_shapes  s    r#  c                  C   s  dd } t d}t| dg|}t|t t|df dt d }dgd	 |d| d| d
| g }t| ddg|ddd}t ddggd	 ddgddgddgddgg }t|| t| dgg }t|t jg t j	d
d ttt| dgg d ttt| g dg d dS )zRegression test for gh-8217.c                 S   r  )Ng      пr$   r  r$   r$   r%   r   +  r   z$test_repeated_t_values.<locals>.funcrA   rb   r   r   r   r   	   rk   r  )rC   rB   rv   r   g      ?g      ?)Zdtyper   )r   r   r   r   )r   r   rk   )r   r   r   rk   N)r   r   r   r   r  lenlogr   r   Zfloat64Zreshapere   r  )r   r    rg   tauZexpected_solr$   r$   r%   test_repeated_t_values(  s&   
"
r(  );r   numpyr   r   r   r   r   r   r   r   r	   r
   r   r   Znumpy.testingr   r   r   r   r   r   Zpytestr   re   Zscipy.integrater   r   r   r   r;   rK   rp   rt   r   r   r   r   r   r   r4   r   r)   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r  r#  r(  r$   r$   r$   r%   <module>   sJ   4 ##j(ZC?A	I 