o
    g_                     @   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$ Z+d%d& Z,d'd( Z-d)d* Z.d+d, Z/G d-d. d.Z0G d/d0 d0e0Z1G d1d2 d2e0Z2G d3d4 d4e0Z3G d5d6 d6e0Z4G d7d8 d8e0Z5d9d: Z6d;d< Z7d=d> Z8d?d@ Z9dAdB Z:dS )Cz"
Tests for numerical integration.
    N)arangezerosarraydotsqrtcossineyepiexpallclose)assert_assert_array_almost_equalassert_allcloseassert_array_equalassert_equalassert_warns)raises)odeintodecomplex_odec                   @   s   e Zd Zdd Zdd ZdS )
TestOdeintc                    s   t d jd}t j j|dd\}}t || t fdd j|ddd\}}t || t drmt j j| jdd	\}}t || t fd
d j| fddddd\}}t || d S d S )N        g?Tfull_outputc                         || S Nftyproblem b/home/ubuntu/cloudmapper/venv/lib/python3.10/site-packages/scipy/integrate/tests/test_integrate.py<lambda>       z(TestOdeint._do_problem.<locals>.<lambda>)r   tfirstjac)Dfunr   c                    r   r   r   r   r"   r$   r%   r&   *   r'   c                    r   r   r)   r   r"   r$   r%   r&   +   r'   )r*   r   r(   )	r   stop_tr   r   z0r   verifyhasattrr)   )selfr#   r    zinfodictr$   r"   r%   _do_problem   s$   




zTestOdeint._do_problemc                 C   s&   t D ]}| }|jrq| | qd S r   PROBLEMScmplxr3   r0   problem_clsr#   r$   r$   r%   test_odeint/   s   zTestOdeint.test_odeintN)__name__
__module____qualname__r3   r9   r$   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$   r%   r&   >   r'   z*TestODEClass._do_problem.<locals>.<lambda>r)   c                    r   r   r+   r?   r"   r$   r%   r&   A   r'   ubandlband
   )atolrtolmethodr   )r    r   )r/   rA   r@   	ode_classset_integratorrC   rD   set_initial_valuer-   	integrater,   r   r!   r   
successfulget_return_coder.   r   )	r0   r#   
integratorrE   r   r)   integrator_paramsigr1   r$   r"   r%   r3   ;   s,   


"zTestODEClass._do_problem)r>   )r:   r;   r<   rF   r3   r$   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)r5   r6   stiffr3   r7   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>   rR   r5   rS   r3   r7   r$   r$   r%   
test_zvodef   s   zTestOde.test_zvodec                 C   s(   t D ]}| }|jrq| |d qd S Nlsodar4   r7   r$   r$   r%   
test_lsodan   s   zTestOde.test_lsodac                 C   <   t D ]}| }|jrq|jrqt|drq| |d qd S Nr)   dopri5r5   r6   rS   r/   r3   r7   r$   r$   r%   test_dopri5v      
zTestOde.test_dopri5c                 C   r[   Nr)   dop853r^   r7   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)rQ   rU   rY   c                 S      dS N      ?r$   r   r$   r$   r%   r&          z.TestOde.test_concurrent_fail.<locals>.<lambda>r   皙?)r   rG   rH   rI   r    assert_raisesRuntimeError)r0   solr   rr2r$   r$   r%   test_concurrent_fail   s   zTestOde.test_concurrent_failc                 C   sF  dd }t dD ]}dD ]@}t||}|dd t||}|dd ||jd  ||jd  ||jd  t|jd t|jd qdD ]P}t||}|dd t||}|dd ||jd  ||jd  ||jd  ||jd  ||jd  t|jd	 t|jd qOqd S )
Nc                 S   rd   re   r$   r   r$   r$   r%   r&      rg   z,TestOde.test_concurrent_ok.<locals>.<lambda>   )rQ   rU   rY   r]   rb   r   rh   g?r]   rb   g333333?)ranger   rG   rH   rI   r    r   r!   )r0   r   krk   rl   rm   r$   r$   r%   test_concurrent_ok   s4   zTestOde.test_concurrent_okN)r:   r;   r<   r   rF   rT   rW   rZ   r_   rc   rn   rs   r$   r$   r$   r%   rO   X   s    
rO   c                   @   s0   e Zd ZeZdd Zdd Zdd Zdd Zd	S )
TestComplexOdec                 C   s8   t D ]}| }|js| |dd q| |dd qd S rP   rV   r7   r$   r$   r%   rT      s   zTestComplexOde.test_vodec                 C   s    t D ]}| }| |d qd S rX   )r5   r3   r7   r$   r$   r%   rZ      s   zTestComplexOde.test_lsodac                 C   4   t D ]}| }|jrqt|drq| |d qd S r\   r5   rS   r/   r3   r7   r$   r$   r%   r_         
zTestComplexOde.test_dopri5c                 C   ru   ra   rv   r7   r$   r$   r%   rc      rw   zTestComplexOde.test_dop853N)	r:   r;   r<   r   rF   rT   rZ   r_   rc   r$   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	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         $@rf          @c                         |   |  d S r   appendcopyr   tsysr$   r%   solout      
z+TestSolout._run_solout_test.<locals>.soloutc                 S      |d |d  |d d  gS Nr         r$   r   r$   r$   r%   rhs      z(TestSolout._run_solout_test.<locals>.rhsr   )r   rG   
set_soloutrH   rI   r   r   	r0   rL   t0tendy0r   r   rN   retr$   r   r%   _run_solout_test   s   

zTestSolout._run_solout_testc                 C      dD ]}|  | qd S Nrp   r   r0   rL   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   ry   rf   rz   c                    r{   r   r|   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   rG   rH   r   rI   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   ry   rf   rz   c                    ,    |   |  |  d krdS d S Nrz   r   r|   r   r   r   r   r$   r%   r   *  
   
z1TestSolout._run_solout_break_test.<locals>.soloutc                 S   r   r   r$   r   r$   r$   r%   r   0  r   z.TestSolout._run_solout_break_test.<locals>.rhsr   r   )r   rG   r   rH   rI   r   r   r   r0   rL   r   r   r   r   rN   r   r$   r   r%   _run_solout_break_test"  s    

z!TestSolout._run_solout_break_testc                 C   r   r   r   r   r$   r$   r%   test_solout_break=  r   zTestSolout.test_solout_breakN)	r:   r;   r<   r   r   r   r   r   r   r$   r$   r$   r%   rx      s    rx   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                    r{   r   r|   r   r   r$   r%   r   L  r   z2TestComplexSolout._run_solout_test.<locals>.soloutc                 S      d| d d  gS Nrf   ry                 ?r$   r   r$   r$   r%   r   P     z/TestComplexSolout._run_solout_test.<locals>.rhsr   r   )r   rG   r   rH   rI   r   r   r   r$   r   r%   r   D  s   

z"TestComplexSolout._run_solout_testc                 C   r   r   r   r   r$   r$   r%   r   \  r   zTestComplexSolout.test_soloutc                    s   g g d}d dg} fdd}dd }t ||}|| ||| | }td | td | td | td  d	 k td  k  d S )
Nr   r   c                    r   r   r|   r   r   r$   r%   r   h  r   z8TestComplexSolout._run_solout_break_test.<locals>.soloutc                 S   r   r   r$   r   r$   r$   r%   r   n  r   z5TestComplexSolout._run_solout_break_test.<locals>.rhsr   r   rz   )r   rG   r   rH   rI   r   r   r   r   r$   r   r%   r   `  s    

z(TestComplexSolout._run_solout_break_testc                 C   r   r   r   r   r$   r$   r%   r   {  r   z#TestComplexSolout.test_solout_breakN)r:   r;   r<   r   r   r   r   r$   r$   r$   r%   r   B  s
    r   c                   @   s0   e Zd ZdZdZdZdZg ZdZdZ	dZ
dZdS )ODEz
    ODE problem
    Fr   Ngư>gh㈵>)r:   r;   r<   __doc__rS   r6   r,   r-   rA   r@   rC   rD   r$   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?rf   rh   g      @c                 C   s.   t dt}d|d< | j | j |d< t||S )N)r   r   rf   r   r   )r   r   )r   floatrr   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   rC   rD   )	r   rr   r   r-   r   r   r   rC   rD   )r0   zsr    omegaur$   r$   r%   r.     s   0 zSimpleOscillator.verifyN)r:   r;   r<   r   r,   r   r   r-   rr   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)     s   zComplexExp.jacc                 C   s&   | j td|  }t||| j| jdS )Nr   r   )r-   r   r   rC   rD   r0   r   r    r   r$   r$   r%   r.     s   zComplexExp.verifyN)r:   r;   r<   r   r
   r,   r   r-   r6   r   r)   r.   r$   r$   r$   r%   r     s    r   c                   @   s.   e Zd ZdZdZdgZdZdd Zdd Zd	S )
Piz'Integrate 1/(t + 1j) from t=-10 to t=10   r   Tc                 C   s   t d|d d  gS )Nrf   rB   r   r   r   r$   r$   r%   r        zPi.fc                 C   s.   dt d }t||dd d f | j| jdS )Ny              rB   r   r   )nparctanr   rC   rD   r   r$   r$   r%   r.     s    z	Pi.verifyN)	r:   r;   r<   r   r,   r-   r6   r   r.   r$   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   ro   Forderc                    s   | j |  | |f< d S r   )r@   )ricivaljr0   r$   r%   set_j  s   zCoupledDecay.jac.<locals>.set_jr   r   )r   r   r   rA   r@   )r0   r1   r    r   r   r$   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   vstackr-   	transposer   rC   rD   )r0   r   r    r   d10d21d20e0e1e2r   r$   r$   r%   r.     s&   **zCoupledDecay.verifyN)r:   r;   r<   r   rS   r,   r-   rA   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   rf         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%   jac2,  r   r   c                 C   s&   |d |d  |d  |d  g}|S )Nr   r   r$   r   r$   r$   r%   fv2  s   "r   c                 C   s"   t d|d g|d  dgg}|S )Nr   r   r   r   r   r$   r$   r%   jacv7  s   r   c                   @   sP   e Zd ZdZdZdZdd Zdd Zdd	 Zd
d Z	dd Z
dd Zdd ZdS )ODECheckParameterUsez=Call an ode-class solver with several cases of parameter use. Fc                 C   s@   t ||}| jr|j| jdd| jd |S |j| jddd |S )Ng&.>gHz>)rC   rD   with_jacobianr   )r   solver_uses_jacrG   solver_name)r0   r   r)   solverr$   r$   r%   _get_solverF  s   
z ODECheckParameterUse._get_solverc                 C   s2   ddg}| |d |t t|jddg d S )Nrf   r   r   )rH   rI   r
   r   r!   r0   r   icr$   r$   r%   _check_solverR  s   
z"ODECheckParameterUse._check_solverc                 C   s   |  tt}| | d S r   )r   r   r)   r   )r0   r   r$   r$   r%   test_no_paramsX  s   z#ODECheckParameterUse.test_no_paramsc                 C   s8   |  tt}d}|| | jr|| | | d S re   )r   r   r   set_f_paramsr   set_jac_paramsr   r0   r   r   r$   r$   r%   test_one_scalar_param\  s   

z*ODECheckParameterUse.test_one_scalar_paramc                 C   s@   |  tt}d}d}||| | jr||| | | d S re   )r   r   r   r   r   r   r   )r0   r   r   r   r$   r$   r%   test_two_scalar_paramsd  s   z+ODECheckParameterUse.test_two_scalar_paramsc                 C   s<   |  tt}ddg}|| | jr|| | | d S re   )r   r   r   r   r   r   r   r   r$   r$   r%   test_vector_paramm  s   

z&ODECheckParameterUse.test_vector_paramc                 C   sB   |  tt}|j| jdd ddg}||d tt|jt	 d S )Nr   )nstepsrf   r   )
r   r   r)   rG   r   rH   r   UserWarningrI   r
   r   r$   r$   r%   test_warns_on_failureu  s
   z*ODECheckParameterUse.test_warns_on_failureN)r:   r;   r<   r   r   r   r   r   r   r   r   r   r   r$   r$   r$   r%   r   =  s    	r   c                   @      e Zd ZdZdZdS )TestDOPRI5CheckParameterUser]   FNr:   r;   r<   r   r   r$   r$   r$   r%   r   ~      r   c                   @   r   )TestDOP853CheckParameterUserb   FNr   r$   r$   r$   r%   r     r   r   c                   @   r   )TestVODECheckParameterUserQ   TNr   r$   r$   r$   r%   r     r   r   c                   @   r   )TestZVODECheckParameterUserU   TNr   r$   r$   r$   r%   r     r   r   c                   @   r   )TestLSODACheckParameterUserY   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)        z(test_odeint_banded_jacobian.<locals>.jacc                 S   s   |j jddS NCr   Tr~   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   	row_stackr_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$   r%   	bjac_cols  r   z.test_odeint_banded_jacobian.<locals>.bjac_cols)i3{Gz?r   r   )rh   g      g{Gz?r   )gMbP?r  g       r  )r   r   rh   r      )r   r   rB   d   TgvIh%<=gdy=i'  )argsr   rC   rD   mxstepr*   )r  r   rC   rD   r  r*   	col_derivr   r   )r  r   rC   rD   r  r*   mlmu)	r  r   rC   rD   r  r*   r  r  r  zsol1 != sol2)err_msg-q=zsol1 != sol3)rC   r  zsol3 != sol4njec                        || |S r   r$   r    r!   r  )r  r$   r%   r&     r'   z-test_odeint_banded_jacobian.<locals>.<lambda>c                    r  r   r$   r  r+   r$   r%   r&     r'   )r  r   rC   rD   r  r*   r(   zsol1 != sol1ty)rD   r  )r   r   onesr   r   r   )r
  r  r  r   r    sol1info1sol2info2sol3info3sol4info4sol1tyinfo1tyr$   )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$   r%   sys1d  r   z!test_odeint_errors.<locals>.sys1dc                 S      dd S Nrf   r   r$   r-  r$   r$   r%   bad1  r   z test_odeint_errors.<locals>.bad1c                 S   rd   Nfoor$   r-  r$   r$   r%   bad2  r  z test_odeint_errors.<locals>.bad2c                 S   r/  r0  r$   r-  r$   r$   r%   bad_jac1  r   z$test_odeint_errors.<locals>.bad_jac1c                 S   s   dggS r2  r$   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 )Nrf   r   r7  r$   r-  r$   r$   r%   sys2d_bad_jac  s   z)test_odeint_errors.<locals>.sys2d_bad_jacrf   r   r   r*   )ri   ZeroDivisionErrorr   
ValueError)r.  r1  r4  r5  r6  r8  r9  r$   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$   r%   badjac  r  z&test_odeint_bad_shapes.<locals>.badjacr   r   r   ro   ry   rB   r:  )ri   r<  r   rj   )r>  r?  r@  bad_y0bad_tr$   r$   r%   test_odeint_bad_shapes	  s    rC  c                  C   s  dd } t d}t| dg|}t|t t|df dt d }dgd	 |d| d| d
| g }t| ddg|ddd}t ddggd	 ddgddgddgddgg }t|| t| dgg }t|t jg t j	d
d ttt| dgg d ttt| g dg d dS )zRegression test for gh-8217.c                 S   r*  )Ng      пr$   r-  r$   r$   r%   r  '  r   z$test_repeated_t_values.<locals>.funcrB   rf   r   r  r   r   	   ro   r  )rD   rC   rz   r   g      ?g      ?)dtyper   )r   r   r   r   )r   r   ro   )r   r   r  ro   N)r   r   r   r   r  lenlogr   r   float64reshaperi   r<  )r  r    rk   tauexpected_solr$   r$   r%   test_repeated_t_values$  s&   
"
rL  );r   numpyr   r   r   r   r   r   r   r   r	   r
   r   r   numpy.testingr   r   r   r   r   r   pytestr   ri   scipy.integrater   r   r   r   r=   rO   rt   rx   r   r   r   r   r   r   r5   r   r)   r   r   r   r   r   r   r   r   r   r   r   r   r   r)  r=  rC  rL  r$   r$   r$   r%   <module>   sJ   4 #!h(ZC?A	I 