U
    eZ                     @   sp   d Z ddlmZmZmZmZ ddlmZ ddlZddl	Z
ddlmZmZmZmZ G dd dZG dd	 d	ZdS )
z#
Unit test for SLSQP optimization.
    )assert_assert_array_almost_equalassert_allcloseassert_equal)raisesN)
fmin_slsqpminimizeBoundsNonlinearConstraintc                   @   s    e Zd ZdZdd Zdd ZdS )
MyCallBackzJpass a custom callback function

    This makes sure it's being used.
    c                 C   s   d| _ d| _d S )NFr   been_calledncallsself r   `/var/www/html/assets/scripts/venv/lib/python3.8/site-packages/scipy/optimize/tests/test_slsqp.py__init__   s    zMyCallBack.__init__c                 C   s   d| _ |  jd7  _d S )NT   r   r   xr   r   r   __call__   s    zMyCallBack.__call__N)__name__
__module____qualname____doc__r   r   r   r   r   r   r      s   r   c                   @   s  e Zd ZdZdd ZdfddZdgddZdhd	d
ZdiddZdjddZ	dkddZ
dlddZdmddZdnddZdd Zdd Zdd Zdd Zdd  Zd!d" Zd#d$ Zd%d& Zd'd( Zd)d* Zd+d, Zd-d. Zd/d0 Zd1d2 Zd3d4 Zd5d6 Zd7d8 Zd9d: Zd;d< Z d=d> Z!d?d@ Z"dAdB Z#dCdD Z$dEdF Z%dGdH Z&dIdJ Z'dKdL Z(dMdN Z)dOdP Z*dQdR Z+dSdT Z,dUdV Z-dWdX Z.dYdZ Z/d[d\ Z0d]d^ Z1d_d` Z2dadb Z3dcdd Z4deS )o	TestSLSQPz
    Test SLSQP algorithm using Example 14.4 from Numerical Methods for
    Engineers by Steven Chapra and Raymond Canale.
    This example maximizes the function f(x) = 2*x*y + 2*x - x**2 - 2*y**2,
    which has a maximum at x=2, y=1.
    c                 C   s   ddi| _ d S )NdispF)optsr   r   r   r   setup_method"   s    zTestSLSQP.setup_method      ?c                 C   s<   |d }|d }|d| | d|  |d  d|d    S )a  
        Arguments:
        d     - A list of two elements, where d[0] represents x and d[1] represents y
                 in the following equation.
        sign - A multiplier for f. Since we want to optimize it, and the SciPy
               optimizers can only minimize functions, we need to multiply it by
               -1 to achieve the desired solution
        Returns:
        2*x*y + 2*x - x**2 - 2*y**2

        r   r      r   )r   dsignr   yr   r   r   fun%   s    zTestSLSQP.func                 C   sL   |d }|d }|d| d|  d  }|d| d|   }t ||gtS )zo
        This is the derivative of fun, returning a NumPy array
        representing df/dx and df/dy.

        r   r   r!      )nparrayfloat)r   r"   r#   r   r$   ZdfdxZdfdyr   r   r   jac5   s
    zTestSLSQP.jacc                 C   s   |  ||| ||fS N)r%   r+   )r   r"   r#   r   r   r   fun_and_jacA   s    zTestSLSQP.fun_and_jacc                 C   s   t |d |d  gS ) Equality constraint r   r   r(   r)   r   r   r#   r   r   r   f_eqconD   s    zTestSLSQP.f_eqconc                 C   s   t ddggS )z! Equality constraint, derivative r   r/   r0   r   r   r   fprime_eqconH   s    zTestSLSQP.fprime_eqconc                 C   s   |  ||d S )z Scalar equality constraint r   )r1   r0   r   r   r   f_eqcon_scalarL   s    zTestSLSQP.f_eqcon_scalarc                 C   s   |  ||d  S )z( Scalar equality constraint, derivative r   )r3   tolistr0   r   r   r   fprime_eqcon_scalarP   s    zTestSLSQP.fprime_eqcon_scalarc                 C   s   t |d |d  d gS )z Inequality constraint r   r   r    r/   r0   r   r   r   f_ieqconT   s    zTestSLSQP.f_ieqconc                 C   s   t ddggS )z# Inequality constraint, derivative r   r2   r/   r0   r   r   r   fprime_ieqconX   s    zTestSLSQP.fprime_ieqconc                 C   s
   t |S )z Vector inequality constraint )r(   asarrayr   r   r   r   	f_ieqcon2\   s    zTestSLSQP.f_ieqcon2c                 C   s   t |jd S )z* Vector inequality constraint, derivative r   )r(   identityshaper   r   r   r   fprime_ieqcon2`   s    zTestSLSQP.fprime_ieqcon2c              	   C   sX   d dddg}|D ]B}t | jddgd|d| jd}t|d	 |d
  t|jddg qd S )NF2-point3-point      r    r@   SLSQPargsr+   methodoptionssuccessmessager!   r   )r   r%   r   r   r   r   r   Zjacsr+   resr   r   r   $test_minimize_unbounded_approximatede   s     z.TestSLSQP.test_minimize_unbounded_approximatedc                 C   sD   t | jddgd| jd| jd}t|d |d  t|jdd	g d S )
Nr@   r    rA   rB   rC   rG   rH   r!   r   )r   r%   r+   r   r   r   r   r   rJ   r   r   r   test_minimize_unbounded_giveno   s      z'TestSLSQP.test_minimize_unbounded_givenc                 C   s   d dddg}|D ]}t jdd$ t| jddgd|d	d
| jd}W 5 Q R X t|d |d  t|jddg td|jd k t|jd dk qd S )NFr>   r?   ignore)invalidr@   r    rA   ))      @N)N      ?rB   )rD   r+   boundsrE   rF   rG   rH   rP   rQ   r   r   )r(   Zerrstater   r%   r   r   r   r   rI   r   r   r   "test_minimize_bounded_approximatedv   s     z,TestSLSQP.test_minimize_bounded_approximatedc                 C   sB   t | jddgddd| jd}t|d |d  t|jd	d
g d S )Nr@   r    rA   TrB   rC   rG   rH   r!   r   )r   r-   r   r   r   r   rL   r   r   r    test_minimize_unbounded_combined   s      z*TestSLSQP.test_minimize_unbounded_combinedc              
   C   sd   d dddg}|D ]N}t | jddgd|d| jddd	| jd
}t|d |d  t|jddg qd S )NFr>   r?   r@   r    rA   eqtyper%   rD   rB   )rD   r+   constraintsrE   rF   rG   rH   r   )r   r%   r1   r   r   r   r   rI   r   r   r   #test_minimize_equality_approximated   s     z-TestSLSQP.test_minimize_equality_approximatedc              
   C   sP   t | jddg| jddd| jdd| jd}t|d |d	  t|jd
d
g d S )Nr@   r    rB   rA   rU   rV   r+   rE   rD   rX   rF   rG   rH   r   )r   r%   r+   r1   r   r   r   r   rL   r   r   r   test_minimize_equality_given   s     z&TestSLSQP.test_minimize_equality_givenc                 C   sT   t | jddgd| jdd| jd| jd| jd}t|d |d	  t|jd
d
g d S Nr@   r    rB   rA   rU   rW   r%   rD   r+   rE   r+   rD   rX   rF   rG   rH   r   	r   r%   r+   r1   r3   r   r   r   r   rL   r   r   r   test_minimize_equality_given2   s     z'TestSLSQP.test_minimize_equality_given2c                 C   sT   t | jddgd| jdd| jd| jd| jd}t|d |d	  t|jd
d
g d S r\   )	r   r%   r+   r4   r6   r   r   r   r   rL   r   r   r   (test_minimize_equality_given_cons_scalar   s     z2TestSLSQP.test_minimize_equality_given_cons_scalarc              
   C   sT   t | jddgd| jdd| jdd| jd}t|d |d	  t|jd
dgdd d S )Nr@   r    rB   rA   ineqrV   r^   rG   rH   r!   r   MbP?Zatol)r   r%   r+   r7   r   r   r   r   rL   r   r   r   test_minimize_inequality_given   s     z(TestSLSQP.test_minimize_inequality_givenc              
   C   sR   t | jddg| jddd| j| jd| jd}t|d |d	  t|jd
dg d S )Nr@   r    rB   rA   rb   )rW   r%   r+   rZ   rG   rH   r!   r   )	r   r%   r+   r:   r=   r   r   r   r   rL   r   r   r   1test_minimize_inequality_given_vector_constraints   s     z;TestSLSQP.test_minimize_inequality_given_vector_constraintsc                 C   sT   dd }dd }t |ddg}tddg}td	d	gd
d
g}t||d||d d S )Nc                 S   sR   d| d   krdkr6n nd| d   kr4dks>n t | | d d | d  S )Nr   r   rQ   AssertionErrorr   r   r   r   c   s    >z5TestSLSQP.test_minimize_bounded_constraint.<locals>.cc                 S   sX   d| d   krdkr6n nd| d   kr4dks>n t | | d d  | d d  S Nr   r   r!   rg   ri   r   r   r   f   s    >z5TestSLSQP.test_minimize_bounded_constraint.<locals>.fr   g      ?g?rQ   g        r    rB   rE   rR   rX   )r
   r(   r9   r	   r   )r   rj   rl   Zcnsx0Zbndr   r   r    test_minimize_bounded_constraint   s    z*TestSLSQP.test_minimize_bounded_constraintc                 C   s   t | jddgd| jdddgd| jd| jd| jd	}t|d
 |d  t|jddgdd td|jd   kotdkn   td|jd   kodkn   d S )Nr@   r    rB   rA   皙r    r2   皙?rU   r]   )rE   r+   rD   rR   rX   rF   rG   rH   rs   rc   rd   rq   r   r   r2   r_   rL   r   r   r   #test_minimize_bound_equality_given2   s     "z-TestSLSQP.test_minimize_bound_equality_given2c                 C   sF   t | jddgdddd}|\}}}}}t|dk| t|ddg d S )Nr@   r    rA   r   r   )rD   iprintfull_outputr!   )r   r%   r   r   r   rJ   r   ZfxZitsZimodeZsmoder   r   r   test_unbounded_approximated   s     z%TestSLSQP.test_unbounded_approximatedc                 C   sJ   t | jddgd| jddd}|\}}}}}t|dk| t|ddg d S )Nr@   r    rA   r   r   )rD   fprimeru   rv   r!   )r   r%   r+   r   r   rw   r   r   r   test_unbounded_given   s     zTestSLSQP.test_unbounded_givenc                 C   sL   t | jddgd| jgddd}|\}}}}}t|dk| t|ddg d S )Nr@   r    rA   r   r   )rD   eqconsru   rv   )r   r%   r1   r   r   rw   r   r   r   test_equality_approximated  s     z$TestSLSQP.test_equality_approximatedc              	   C   sP   t | jddg| jd| jgddd}|\}}}}}t|dk| t|ddg d S )Nr@   r    rA   r   r   )ry   rD   r{   ru   rv   )r   r%   r+   r1   r   r   rw   r   r   r   test_equality_given  s      zTestSLSQP.test_equality_givenc              
   C   sR   t | jddg| jd| j| jddd}|\}}}}}t|dk| t|ddg d S )Nr@   r    rA   r   r   )ry   rD   f_eqconsfprime_eqconsru   rv   r   r%   r+   r1   r3   r   r   rw   r   r   r   test_equality_given2  s     zTestSLSQP.test_equality_given2c              	   C   sT   t | jddg| jd| jgddd}|\}}}}}t|dk| t|ddgdd	 d S )
Nr@   r    rA   r   r   )ry   rD   ieqconsru   rv   r!      decimal)r   r%   r+   r7   r   r   rw   r   r   r   test_inequality_given&  s      zTestSLSQP.test_inequality_givenc                 C   s   t | jddg| jdddg| j| jddd	}|\}}}}}t|dk| t|d	d	gd
d td|d   kopdkn   td|d   kod	kn   d S )Nr@   r    rA   rp   rr   r   r   )ry   rD   rR   r~   r   ru   rv   rs   r   r   rq   r2   r   rw   r   r   r   test_bound_equality_given20  s       z$TestSLSQP.test_bound_equality_given2c                 C   sR   t dd dgdd gdd}t|dg t dd dgd	d dd
}t|dg d S )Nc                 S   s   | d S Nr!   r   zr   r   r   <lambda>@      z3TestSLSQP.test_scalar_constraints.<locals>.<lambda>g      @c                 S   s   | d d S Nr   r   r   r   r   r   r   r   A  r   r   )r   ru   r    c                 S   s   | d S r   r   r   r   r   r   r   E  r   c                 S   s   | d d gS r   r   r   r   r   r   r   F  r   )Z	f_ieqconsru   )r   r   r   r   r   r   test_scalar_constraints>  s    z!TestSLSQP.test_scalar_constraintsc                 C   s    t dd dgddggdd d S )Nc                 S   s   | d d S Nr!   r   r   r   r   r   r   r   L  r   z/TestSLSQP.test_integer_bounds.<locals>.<lambda>r   r   rR   ru   r   r   r   r   r   test_integer_boundsJ  s    zTestSLSQP.test_integer_boundsc                 C   sP   t j t jft dgt dgfg}tdd ddg|dd}t|ddg d S )Nr!   r   c                 S   s   t | d d S r   )r(   sumr   r   r   r   r   S  r   z-TestSLSQP.test_array_bounds.<locals>.<lambda>rP   r   r   )r(   infr)   r   r   )r   rR   r   r   r   r   test_array_boundsN  s
    &zTestSLSQP.test_array_boundsc              	   C   s,   t t tdd dddg W 5 Q R X d S )Nc                 S   s   ddgS r   r   ri   r   r   r   r   [  r   z7TestSLSQP.test_obj_must_return_scalar.<locals>.<lambda>r   r!   r   )assert_raises
ValueErrorr   r   r   r   r   test_obj_must_return_scalarW  s    
z%TestSLSQP.test_obj_must_return_scalarc                 C   s   t dd dddgdd d S )Nc                 S   s   dgS Nr   r   ri   r   r   r   r   a  r   z;TestSLSQP.test_obj_returns_scalar_in_list.<locals>.<lambda>r   r!   r   r   )ru   r   r   r   r   r   test_obj_returns_scalar_in_list]  s    z)TestSLSQP.test_obj_returns_scalar_in_listc                 C   sR   t  }t| jddgdd|| jd}t|d |d  t|j t|j|d  d S )	Nr@   r    rA   rB   )rD   rE   callbackrF   rG   rH   nit)r   r   r%   r   r   r   r   r   )r   r   rJ   r   r   r   test_callbackc  s      
zTestSLSQP.test_callbackc                 C   sv   ddg}dd }dd }t dd |d|dd	|dfd
dd}|j}t||ddd t||dk t|j| d S )Nr   r   c                 S   s   | d | d  d S rk   r   ri   r   r   r   r   w  r   z;TestSLSQP.test_inconsistent_linearization.<locals>.<lambda>c                 S   s   | d d d S Nr   r!   r   r   ri   r   r   r   r   x  r   c                 S   s   | d d | d d  S r   r   ri   r   r   r   r   z  r   rU   rW   r%   rb   r   Nr   rB   rX   rR   rE   g:0yE>rd   g:0yE)r   r   r   r   rG   )r   r   f1f2solr   r   r   test_inconsistent_linearizationl  s     
z)TestSLSQP.test_inconsistent_linearizationc                 C   sH   ddg}t dd |ddd ddd	d dfd
dd}t|j | d S )Nr   r!   c                 S   s   | d d | d d  S r   r   ri   r   r   r   r     r   z0TestSLSQP.test_regression_5743.<locals>.<lambda>rU   c                 S   s   | d | d  d S r   r   ri   r   r   r   r     r   r   rb   c                 S   s   | d d S )Nr   r!   r   ri   r   r   r   r     r   r   rB   r   )r   r   rG   )r   r   r   r   r   r   test_regression_5743  s    zTestSLSQP.test_regression_5743c                 C   s0   dd }t |dddgdd}t|jjdk d S )Nc                 S   s8   | d d d d| d d d   d| d d d   S )Nr   r   r!   rQ   r   ri   r   r   r   func  s    z$TestSLSQP.test_gh_6676.<locals>.funcr   rB   rE   )r   )r   r   r+   r<   )r   r   r   r   r   r   test_gh_6676  s    zTestSLSQP.test_gh_6676c              
   C   sb   dddt jdft jdffdt j fdfg}|D ].}tt t| jddg|d	d
 W 5 Q R X q.d S )N)r   r!   r!   r   )r   r   )r   r   r   r   )r   r   r@   r    rB   )rR   rE   )r(   r   r   r   r   r%   )r   Zbounds_listrR   r   r   r   test_invalid_bounds  s    
zTestSLSQP.test_invalid_boundsc                 C   s   dd }t |dgddgd}t|j t|jddd	 t |d
gddgd}t|j t|jddd	 t |d
gddgd}t|j t|jddd	 t |dgddgd}t|j t|jddd	 t |dgddgd}t|j t|jddd	 t |dgddgd}t|j t|jddd	 d S )Nc                 S   s   | d d d S rk   r   ri   r   r   r   rl     s    z)TestSLSQP.test_bounds_clipping.<locals>.f
   slsqpr   rE   rR   r   绽|=rd   )r!   Nr!         )r2   r   r   r   rG   r   r   )r   rl   r   r   r   r   test_bounds_clipping  s&    





zTestSLSQP.test_bounds_clippingc                 C   sP  dd }ddd dg}ddd dg}ddd ddd	d dg}t |d
gd|d}t|j t|jddd t |dgd|d}t|j t|jddd t |dgd|d}t|j t|jddd t |d
gd|d}t|j t|jddd t |dgd|d}t|j t|jddd t |d
gd|d}t|j t|jddd d S )Nc                 S   s   | \} | |  d|   d S r   r   ri   r   r   r   rl     s    z,TestSLSQP.test_infeasible_initial.<locals>.frb   c                 S   s   d|  S r   r   ri   r   r   r   r     r   z3TestSLSQP.test_infeasible_initial.<locals>.<lambda>r   c                 S   s   | d S r   r   ri   r   r   r   r     r   c                 S   s   d|  S r   r   ri   r   r   r   r     r   c                 S   s   | d S Nr   r   ri   r   r   r   r     r   r   r   )rE   rX   r   r   rd   r   r!   r   r   )r   rl   Zcons_uZcons_lZcons_ulr   r   r   r   test_infeasible_initial  s0    





z!TestSLSQP.test_infeasible_initialc                 C   sZ   dd }dd }dd }d}d}t d	|d
t d	|d
f}t||d||d}t|j  d S )Nc                 S   s   d| d  d| d   S )Nr2   r   r'   r   r   ri   r   r   r   cost  s    z6TestSLSQP.test_inconsistent_inequalities.<locals>.costc                 S   s   | d | d  d S )Nr   r   r   ri   r   r   r   	ineqcons1  s    z;TestSLSQP.test_inconsistent_inequalities.<locals>.ineqcons1c                 S   s   | d | d  S r   r   ri   r   r   r   	ineqcons2  s    z;TestSLSQP.test_inconsistent_inequalities.<locals>.ineqcons2)r      )r   r   rb   r   rB   rm   )dictr   r   rG   )r   r   r   r   rn   rR   consrJ   r   r   r   test_inconsistent_inequalities  s    z(TestSLSQP.test_inconsistent_inequalitiesc                 C   sP   dd }t ddgtjtjg}t|ddgd|d}t|j t|jddg d S )Nc                 S   s   | d d | d d  S r   r   ri   r   r   r   r     r   z0TestSLSQP.test_new_bounds_type.<locals>.<lambda>r   r   r   r   )r	   r(   r   r   r   rG   r   r   )r   rl   rR   r   r   r   r   test_new_bounds_type  s
    
zTestSLSQP.test_new_bounds_typec                 C   s    G dd d}| }|   d S )Nc                   @   s,   e Zd Zdd Zdd Zdd Zdd Zd	S )
z9TestSLSQP.test_nested_minimization.<locals>.NestedProblemc                 S   s
   d| _ d S r   )F_outer_countr   r   r   r   r     s    zBTestSLSQP.test_nested_minimization.<locals>.NestedProblem.__init__c                 S   sn   |  j d7  _ | j dkr tdt| jddd}t|j t|jddg |d d |d d  |d d  S )	Nr   i  z(Nested minimization failed to terminate.)r   r'   rB   r   r   r!   )r   	Exceptionr   F_innerr   rG   r   r   )r   r   Z	inner_resr   r   r   F_outer  s    

zATestSLSQP.test_nested_minimization.<locals>.NestedProblem.F_outerc                 S   s    |d d d |d d d  S rk   r   r   r   r   r   r     s    zATestSLSQP.test_nested_minimization.<locals>.NestedProblem.F_innerc                 S   s0   t | jddd}t|j t|jdddg d S )N)r   r   r   rB   r   r   )r   r   r   rG   r   r   )r   Z	outer_resr   r   r   solve  s    
z?TestSLSQP.test_nested_minimization.<locals>.NestedProblem.solveN)r   r   r   r   r   r   r   r   r   r   r   NestedProblem  s   	r   )r   )r   r   problemr   r   r   test_nested_minimization	  s    z"TestSLSQP.test_nested_minimizationc                 C   s|   dd }dd }dd }d|d}d|d}t |d	d
gd||gddgd}tj|jd tj|jddg |jsxtd S )Nc                 S   s   t | d S r   )r(   sqrtri   r   r   r   r%   (  s    z"TestSLSQP.test_gh1758.<locals>.func                 S   s   | d d| d  d  S )r.   r   r!   r   r   r   ri   r   r   r   r1   +  s    z&TestSLSQP.test_gh1758.<locals>.f_eqconc                 S   s   | d | d  d d  S )r.   r   r   r   r   ri   r   r   r   f_eqcon2/  s    z'TestSLSQP.test_gh1758.<locals>.f_eqcon2rU   r      g      ?rB   )r   r   )r   r   )rE   rX   rR   g8r](k?gQUU?gc@?)r   r(   testingr   r%   r   rG   rh   )r   r%   r1   r   c1c2rJ   r   r   r   test_gh1758$  s    

 zTestSLSQP.test_gh1758c              	   C   sf   t jd ddd dddd df}d}dd }d	d
dg}t||d||dddd}|jrbtd S )Nr   rb   c                 S   s   | d  | d  d S )Nr   r   r   r   ri   r   r   r   r   ?  r   z'TestSLSQP.test_gh9640.<locals>.<lambda>r   c                 S   s   | d | d  d S )Nr   r!   r   ri   r   r   r   r   @  r   )r&   r!   r   r   c                 S   s   dS r   r   ri   r   r   r   r   C  r   g51gУX{gP(rB   Fi'  )r   maxiter)rE   rR   rX   rF   )r(   randomseedr   rG   rh   )r   r   Zbndstargetrn   rJ   r   r   r   test_gh9640=  s    
zTestSLSQP.test_gh9640c              	      s   t jd tt dgt dg t j}t  j j j t j|  } fdd}tj	t
dd  t||d d	}|jstW 5 Q R X d S )
Nr   g?r    c                    s   |  j k sttj| S r,   )lballrh   r(   ZlinalgZnormri   rR   r   r   rl   V  s    z7TestSLSQP.test_parameters_stay_within_bounds.<locals>.fzx were outside bounds)matchrB   r   )r(   r   r   r	   r)   lenr   ZubpytestZwarnsRuntimeWarningr   rG   rh   )r   Zn_inputsrn   rl   rJ   r   r   r   "test_parameters_stay_within_boundsK  s    

z,TestSLSQP.test_parameters_stay_within_boundsN)r    )r    )r    )r    )r    )r    )r    )r    )r    )5r   r   r   r   r   r%   r+   r-   r1   r3   r4   r6   r7   r8   r:   r=   rK   rM   rS   rT   rY   r[   r`   ra   re   rf   ro   rt   rx   rz   r|   r}   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r      sd   










		

		#r   )r   Znumpy.testingr   r   r   r   r   r   r   numpyr(   Zscipy.optimizer   r   r	   r
   r   r   r   r   r   r   <module>   s   