a
    Re                     @   s>  d Z ddlZddlZddlmZmZmZmZmZm	Z	m
Z
 ddlmZ ddlZddlmZmZ ddlmZ ddlmZmZ ddlmZ dd	lmZmZmZ dd
lmZ ddlmZ G dd dZ dd Z!dd Z"dd Z#dd Z$dd Z%G dd dZ&G dd dZ'G dd dZ(G dd dZ)G d d! d!Z*G d"d# d#Z+dS )$z7
Unit tests for optimization routines from minpack.py.
    N)assert_assert_almost_equalassert_array_equalassert_array_almost_equalassert_allcloseassert_warnssuppress_warnings)raises)arrayfloat64)
ThreadPool)optimizelinalg)lambertw)leastsq	curve_fitfixed_point)OptimizeWarning)Boundsc                   @   s    e Zd ZdZdd Zdd ZdS )ReturnShapezThis class exists to create a callable that does not have a '__name__' attribute.

    __init__ takes the argument 'shape', which should be a tuple of ints. When an instance
    is called with a single argument 'x', it returns numpy.ones(shape).
    c                 C   s
   || _ d S N)shape)selfr    r   U/var/www/sunrise/env/lib/python3.9/site-packages/scipy/optimize/tests/test_minpack.py__init__   s    zReturnShape.__init__c                 C   s   t | jS r   )nponesr   )r   xr   r   r   __call__    s    zReturnShape.__call__N)__name__
__module____qualname____doc__r   r   r   r   r   r   r      s   r   c                 C   s
   t |S )zUA function that returns an array of ones of the given shape.
    `x` is ignored.
    )r   r   )r   r   r   r   r   
dummy_func$   s    r$   c                 C   s@   t t|  }|dd | W  d    S 1 s20    Y  d S )Nc                 S   s   |  S r   r   )fr   r   r   <lambda>-       z#sequence_parallel.<locals>.<lambda>)r   lenmap)fspoolr   r   r   sequence_parallel+   s    r,   c                 C   s6   || d  }t |dd |d  |  | f}|S )a  Evaluate non-linear equation system representing
    the pressures and flows in a system of n parallel pipes::

        f_i = P_i - P_0, for i = 1..n
        f_0 = sum(Q_i) - Qtot

    where Q_i is the flow rate in pipe i and P_i the pressure in that pipe.
    Pressure is modeled as a P=kQ**2 where k is a valve coefficient and
    Q is the flow rate.

    Parameters
    ----------
    flow_rates : float
        A 1-D array of n flow rates [kg/s].
    k : float
        A 1-D array of n valve coefficients [1/kg m].
    Qtot : float
        A scalar, the total input flow rate [kg/s].

    Returns
    -------
    F : float
        A 1-D array, F[i] == f_i.

          Nr   )r   Zhstacksum)
flow_ratesQtotkPFr   r   r   pressure_network4   s    &r5   c                 C   s   t | }t| dd d |dd  d| d  |d   }t||f}|d |d|d d|d f< d|d|d |d f< t|||d ddf< |S )a  Return the jacobian of the equation system F(flow_rates)
    computed by `pressure_network` with respect to
    *flow_rates*. See `pressure_network` for the detailed
    description of parrameters.

    Returns
    -------
    jac : float
        *n* by *n* matrix ``df_i/dQ_i`` where ``n = len(flow_rates)``
        and *f_i* and *Q_i* are described in the doc for `pressure_network`
    r.   Nr-   r   )r(   r   diagemptyr   )r0   r1   r2   nZpdiffjacr   r   r   pressure_network_jacobianS   s    6 r:   c                 C   s   t | ||t| ||fS r   )r5   r:   )r0   r1   r2   r   r   r   pressure_network_fun_and_gradj   s    

r;   c                   @   st   e 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d ZdS )
TestFSolvec                 C   s\   t dd}d}tg d}tjt|||fdd\}}}}t|t d t|dk| d S )N         ?       @        r@   rA   Targsfull_outputr.   )	r   fullr
   r   fsolver5   r   r   r   )r   r2   r1   initial_guessfinal_flowsinfoiermesgr   r   r   !test_pressure_network_no_gradientp   s    
z,TestFSolve.test_pressure_network_no_gradientc                 C   sF   t dd}d}tg d}tjt|||ftd}t|t d d S )Nr=   r>   r?   rC   fprime)	r   rE   r
   r   rF   r5   r:   r   r   r   r2   r1   rG   rH   r   r   r   #test_pressure_network_with_gradient{   s    
z.TestFSolve.test_pressure_network_with_gradientc                 C   s$   t d}ddg}tttj|| d S Nr.         ?r@   r   assert_raises	TypeErrorr   rF   r   funcx0r   r   r   test_wrong_shape_func_callable   s    z)TestFSolve.test_wrong_shape_func_callablec                 C   s    ddg}t ttjt|dd d S NrR   r@   )r.   rC   )rT   rU   r   rF   r$   r   rX   r   r   r   test_wrong_shape_func_function   s    z)TestFSolve.test_wrong_shape_func_functionc                 C   s,   t d}t d}tttj|ddg|d d S )Nr.   r-   r-   r   rX   rN   rS   r   rW   
deriv_funcr   r   r    test_wrong_shape_fprime_callable   s    z+TestFSolve.test_wrong_shape_fprime_callablec                 C   s,   dd }dd }t ttj|ddg|d d S )Nc                 S   s
   t | dS N)r-   r$   r   r   r   r   rW      s    z9TestFSolve.test_wrong_shape_fprime_function.<locals>.funcc                 S   s
   t | dS N)   rh   re   rf   r   r   r   rb      s    z?TestFSolve.test_wrong_shape_fprime_function.<locals>.deriv_funcr   r.   r`   )rT   rU   r   rF   ra   r   r   r    test_wrong_shape_fprime_function   s    z+TestFSolve.test_wrong_shape_fprime_functionc                 C   sH   dd }t tdd  tj|dgd W d    n1 s:0    Y  d S )Nc                  W   s   t dd S NI raised
ValueErrorr\   r   r   r   rW      s    z,TestFSolve.test_func_can_raise.<locals>.funcrk   matchr   rX   rT   rm   r   rF   r   rW   r   r   r   test_func_can_raise   s    zTestFSolve.test_func_can_raisec                 C   sR   dd }dd }t tdd" tj|dg|d W d    n1 sD0    Y  d S )	Nc                 S   s   | t dg S N
   r   r
   rf   r   r   r   rW      s    z,TestFSolve.test_Dfun_can_raise.<locals>.funcc                  W   s   t dd S rj   rl   r\   r   r   r   rb      s    z2TestFSolve.test_Dfun_can_raise.<locals>.deriv_funcrk   rn   r   r`   rq   ra   r   r   r   test_Dfun_can_raise   s    zTestFSolve.test_Dfun_can_raisec                 C   s<   dd }t |tddgtj}t||ddgdd d S )Nc                 S   s(   t j| d d | d d gt jdd S )Nr   d   r.   i  Zdtyper-   )r   r
   float32rf   r   r   r   rW      s    z%TestFSolve.test_float32.<locals>.funcr.   r   MbP?atol)r   rF   r   r
   rz   r   )r   rW   pr   r   r   test_float32   s    zTestFSolve.test_float32c           	         sh    fdd}t dd}d}tg d}tj||||fdd\}}}}t|t d t|dk| d S )	Nc                     s       t|  S r   )rL   r5   r\   r   r   r   rW      s    z,TestFSolve.test_reentrant_func.<locals>.funcr=   r>   r?   TrB   r.   )r   rE   r
   r   rF   r   r   r   )	r   rW   r2   r1   rG   rH   rI   rJ   rK   r   r   r   test_reentrant_func   s    
zTestFSolve.test_reentrant_funcc                    sR    fdd}t dd}d}tg d}tjt|||f|d}t|t d d S )Nc                     s       t|  S r   )rP   r:   r\   r   r   r   rb      s    z3TestFSolve.test_reentrant_Dfunc.<locals>.deriv_funcr=   r>   r?   rM   )r   rE   r
   r   rF   r5   r   r   )r   rb   r2   r1   rG   rH   r   r   r   test_reentrant_Dfunc   s    
zTestFSolve.test_reentrant_Dfuncc                 C   s*   t | jgd }tdd |D s&J d S )Nru   c                 S   s   g | ]}|d u qS r   r   .0resultr   r   r   
<listcomp>   r'   z:TestFSolve.test_concurrent_no_gradient.<locals>.<listcomp>)r,   rL   allr   vr   r   r   test_concurrent_no_gradient   s    z&TestFSolve.test_concurrent_no_gradientc                 C   s*   t | jgd }tdd |D s&J d S )Nru   c                 S   s   g | ]}|d u qS r   r   r   r   r   r   r      r'   z<TestFSolve.test_concurrent_with_gradient.<locals>.<listcomp>)r,   rP   r   r   r   r   r   test_concurrent_with_gradient   s    z(TestFSolve.test_concurrent_with_gradientN)r    r!   r"   rL   rP   rY   r^   rc   ri   rs   rw   r   r   r   r   r   r   r   r   r   r<   o   s   

r<   c                   @   s$   e Zd Zdd Zdd Zdd ZdS )TestRootHybrc                 C   sH   t dd}d}tg d}tjt|d||fdj}t|t d d S )Nr=   r>   r?   hybrmethodrC   	r   rE   r
   r   rootr5   r   r   r   rO   r   r   r   rL      s    z.TestRootHybr.test_pressure_network_no_gradientc                 C   sL   t dd}d}tg dg}tjt|||fdtdj}t|t 	d d S )Nr=   r>   r?   r   rC   r   r9   )
r   rE   r
   r   r   r5   r:   r   r   r   rO   r   r   r   rP      s    z0TestRootHybr.test_pressure_network_with_gradientc                 C   sJ   t dd}d}tg d}tjt|||fdddj}t|t d d S )Nr=   r>   r?   r   Tr   )	r   rE   r
   r   r   r;   r   r   r   rO   r   r   r   ,test_pressure_network_with_gradient_combined   s    z9TestRootHybr.test_pressure_network_with_gradient_combinedN)r    r!   r"   rL   rP   r   r   r   r   r   r      s   	
r   c                   @   s   e Zd Zdd ZdS )
TestRootLMc                 C   sH   t dd}d}tg d}tjt|d||fdj}t|t d d S )Nr=   r>   r?   lmr   r   rO   r   r   r   rL      s    z,TestRootLM.test_pressure_network_no_gradientN)r    r!   r"   rL   r   r   r   r   r      s   r   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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 )(TestLeastSqc                 C   sj   t ddd}d\}}}|| _|||f| _||d  ||  | }t jd |dt j|j  | _d S )Nr   ru   (   )g@*   g33333sr-   g{Gz?)	r   linspacer   abcrandomseedZstandard_normalr   y_meas)r   r   abcZy_truer   r   r   setup_method  s    
zTestLeastSq.setup_methodc                 C   s*   |\}}}|||d  ||  |  }|S Nr-   r   )r   r~   yr   r   r   r   errr   r   r   	residuals  s    
zTestLeastSq.residualsc                 C   s   t |d |t |gj S r   )r   vstack	ones_likeT)r   _pZ_yr   r   r   r   residuals_jacobian  s    zTestLeastSq.residuals_jacobianc                 C   sN   t g d}t| j|| j| jfd\}}t|dv d|  t|| jdd d S )Nr   r   r   r\   r.   r-   rh   r=   solution not found (ier=%d)r-   decimalr
   r   r   r   r   r   r   r   r   p0
params_fitrJ   r   r   r   
test_basic  s    

zTestLeastSq.test_basicc                 C   sR   t g d}t| j|| j| jf| jd\}}t|dv d|  t|| jdd d S )Nr   rC   Dfunr   r   r-   r   )	r
   r   r   r   r   r   r   r   r   r   r   r   r   test_basic_with_gradient   s    

z$TestLeastSq.test_basic_with_gradientc                 C   sL   t g dg}t| j|| j| jfdd}|\}}}}}t|dv d|  d S )Nr   TrB   r   solution not found: %s)r
   r   r   r   r   r   )r   r   rD   r   cov_xinfodictrK   rJ   r   r   r   test_full_output)  s    
zTestLeastSq.test_full_outputc           	      C   sd   t g dtd}t |dd}t| j|| j| jfdd}|\}}}}}t|dv d|  t|| d S )Nr   ry   T)copyrB   r   r   )r
   r   r   r   r   r   r   r   )	r   r   Zp0_copyrD   r   r   r   rK   rJ   r   r   r   test_input_untouched1  s    
z TestLeastSq.test_input_untouchedc                 C   s$   t d}ddg}tttj|| d S rQ   r   rT   rU   r   r   rV   r   r   r   rY   ;  s    z*TestLeastSq.test_wrong_shape_func_callablec                 C   s    ddg}t ttjt|dd d S rZ   )rT   rU   r   r   r$   r]   r   r   r   r^   B  s    z*TestLeastSq.test_wrong_shape_func_functionc                 C   s,   t d}t d}tttj|ddg|d d S )Nr.   r_   r   rX   r   r   ra   r   r   r   test_wrong_shape_Dfun_callableH  s    z*TestLeastSq.test_wrong_shape_Dfun_callablec                 C   s,   dd }dd }t ttj|ddg|d d S )Nc                 S   s
   t | dS rd   re   rf   r   r   r   rW   N  s    z8TestLeastSq.test_wrong_shape_Dfun_function.<locals>.funcc                 S   s
   t | dS rg   re   rf   r   r   r   rb   P  s    z>TestLeastSq.test_wrong_shape_Dfun_function.<locals>.deriv_funcr   r.   r   rT   rU   r   r   ra   r   r   r   test_wrong_shape_Dfun_functionM  s    z*TestLeastSq.test_wrong_shape_Dfun_functionc                 C   s   dd }t jg dt jd}t jg dt jd}t g d}tj||||fd\}}t|dv  t||||d	  d
||||d	   k  d S )Nc                 S   s@   | d t || d  d  d| d d    | d  }|| S )Nr   r.   r-   r@   rh   r   exp)r~   r   r   qr   r   r   rW   V  s    8z&TestLeastSq.test_float32.<locals>.func)
g?gw/?g%C?gNbX9?gHzG?gM?gZd;O?gS?g~jt?gV-?ry   )
gJ4?gN@aÓ?g^K=?gMO?g?g?W[?gl?g{Pk?g rh?gׁsF?)      ?r   r   r   r\   r   r-   g-C6?)r   r
   rz   r   r   r   r/   )r   rW   r   r   r   p1successr   r   r   r   T  s    

zTestLeastSq.test_float32c                 C   sH   dd }t tdd  tj|dgd W d    n1 s:0    Y  d S )Nc                  W   s   t dd S rj   rl   r\   r   r   r   rW   e  s    z-TestLeastSq.test_func_can_raise.<locals>.funcrk   rn   r   rp   rT   rm   r   r   rr   r   r   r   rs   d  s    zTestLeastSq.test_func_can_raisec                 C   sR   dd }dd }t tdd" tj|dg|d W d    n1 sD0    Y  d S )	Nc                 S   s   | t dg S rt   rv   rf   r   r   r   rW   l  s    z-TestLeastSq.test_Dfun_can_raise.<locals>.funcc                  W   s   t dd S rj   rl   r\   r   r   r   rb   o  s    z3TestLeastSq.test_Dfun_can_raise.<locals>.deriv_funcrk   rn   r   r   r   ra   r   r   r   rw   k  s    zTestLeastSq.test_Dfun_can_raisec                    sX    fdd}t g d}t|| j jfd\}}t|dv d|  t| jdd d S )	Nc                     s        j|  S r   )r   r   r\   r   r   r   rW   v  s    z-TestLeastSq.test_reentrant_func.<locals>.funcr   r\   r   r   r-   r   )r
   r   r   r   r   r   r   )r   rW   r   r   rJ   r   r   r   r   u  s    

zTestLeastSq.test_reentrant_funcc                    s\    fdd}t g d}t j| j jf|d\}}t|dv d|  t| jdd d S )	Nc                     s        j|  S r   )r   r   r\   r   r   r   rb     s    z3TestLeastSq.test_reentrant_Dfun.<locals>.deriv_funcr   r   r   r   r-   r   r   )r   rb   r   r   rJ   r   r   r   test_reentrant_Dfun  s    

zTestLeastSq.test_reentrant_Dfunc                 C   s*   t | jgd }tdd |D s&J d S )Nru   c                 S   s   g | ]}|d u qS r   r   r   r   r   r   r     r'   z;TestLeastSq.test_concurrent_no_gradient.<locals>.<listcomp>)r,   r   r   r   r   r   r   r     s    z'TestLeastSq.test_concurrent_no_gradientc                 C   s*   t | jgd }tdd |D s&J d S )Nru   c                 S   s   g | ]}|d u qS r   r   r   r   r   r   r     r'   z=TestLeastSq.test_concurrent_with_gradient.<locals>.<listcomp>)r,   r   r   r   r   r   r   r     s    z)TestLeastSq.test_concurrent_with_gradientc                 C   sJ   dd }t tdd" tj|ddgd W d    n1 s<0    Y  d S )Nc                 S   s   d| d d d  d S )Nr-   r   rh   r.   r   rf   r   r   r   rW     s    z=TestLeastSq.test_func_input_output_length_check.<locals>.funcz+Improper input: func input vector length N=rn   r   r.   rp   r   rr   r   r   r   #test_func_input_output_length_check  s
    z/TestLeastSq.test_func_input_output_length_checkN)r    r!   r"   r   r   r   r   r   r   r   rY   r^   r   r   r   rs   rw   r   r   r   r   r   r   r   r   r   r     s&   		

r   c                   @   sd  e 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edd Zejdg ddd Zejdg ddd Zejdddgejdg ddd Zd d! Zd"d# Zd$d% Zd&d' Zd(d) Zd*d+ Zd,d- Zd.d/ Zd0d1 Zd2d3 Zd4d5 Zd6d7 Zd8d9 Z d:d; Z!d<d= Z"d>d? Z#ej$d@dAdB Z%dCdD Z&dEdF Z'dGS )HTestCurveFitc                 C   s    t g d| _t g d| _d S )N)r   g	@      #@gffffff+@)r   r@         @g      @)r
   r   r   r   r   r   r   r     s    zTestCurveFit.setup_methodc           
      C   s   dd }t || j| j\}}tt|dk t|jdk t|d ddd t|d	 d
dd t || j| jddd}|\}}}}}	t|| d S )Nc                 S   s   | | S r   r   r   r   r   r   r   rW     s    z,TestCurveFit.test_one_argument.<locals>.funcr.   )r.   r.   r   g3ı.n?r=   r   )r   r   g-C6Z?F)rD   check_finite)r   r   r   r   r(   r   r   r   )
r   rW   poptpcovrespopt2pcov2r   errmsgrJ   r   r   r   test_one_argument  s    zTestCurveFit.test_one_argumentc                 C   sj   dd }t || j| j\}}tt|dk t|jdk t|ddgdd t|d	d
gd
dggdd d S )Nc                 S   s   || |  S r   r   r   r   r   r   r   r   rW     s    z,TestCurveFit.test_two_argument.<locals>.funcr-   r_   c]K?-?r=   r   䃞ͪϵ?T㥛 b=y?)r   r   r   r   r(   r   r   )r   rW   r   r   r   r   r   test_two_argument  s    zTestCurveFit.test_two_argumentc                 C   sh   G dd d}| }t |j| j| j\}}t|jdk t|ddgdd t|dd	gd	d
ggdd d S )Nc                   @   s   e Zd ZdZdd ZdS )z8TestCurveFit.test_func_is_classmethod.<locals>.test_selfzThis class tests if curve_fit passes the correct number of
               arguments when the model function is a class instance method.
            c                 S   s   |||  S r   r   )r   r   r   r   r   r   r   rW     s    z=TestCurveFit.test_func_is_classmethod.<locals>.test_self.funcN)r    r!   r"   r#   rW   r   r   r   r   	test_self  s   r   r_   r   r   r=   r   r   r   r   )r   rW   r   r   r   r   r   )r   r   Ztest_self_instr   r   r   r   r   test_func_is_classmethod  s    z%TestCurveFit.test_func_is_classmethodc                 C   sP   g d}g d}g d}g d}dd }t ||||dd\}}t||d	d
 d S )N)
gB`"@gZd;@gQ@g#~j@g/$@g;O@g @g@gZd;@g)\@)
     ؊@g     (@g     @g     X@g     t@g     @g     @g     8@g     @g     H@)g^w8}@gU]}@     X@r   g29l?r   )g䃞j@gj@gT{7@g|'fɘ@g ƞ?g'ˊ@c                 S   sL   |t | | d  d|d    |t | | d  d|d     | S )Nr-   r@   r   )r   rX   x1ZA0A1sigmar   r   r   r   f_double_gauss  s
    ""z9TestCurveFit.test_regression_2639.<locals>.f_double_gaussi'  maxfevgh㈵>rtol)r   r   )r   r   r   guessZgoodr   r   r   r   r   r   test_regression_2639  s    z!TestCurveFit.test_regression_2639c              
   C   s  t g d}t g d}t g d}dd }dD ]}t|||ddg||d	\}}t t |}t|d
dgdd t|||ddgd| |d	\}}t t |}t|d
dgdd t|||ddg|d|d\}}t t |}	t|	ddgdd t|||ddgd| d|d\}}t t |}	t|	ddgdd q6dd }
t t jgd dd}t ^}|	t
d t|
||ddg|d\}}t||d d |d d ddgd\}}W d    n1 s0    Y  t|jdk t|| t|jdk t|| d S )N)r   r.   r-   rh   r=      )r.   r.   r            )r.   r-   r.   r-   r.   r-   c                 S   s   ||  | S r   r   r   r   r   r   r%     s    z!TestCurveFit.test_pcov.<locals>.fr   trfdogboxr-   r   )r   r   r   gN"q?g~uM/N?r{   r   rh   T)r   r   absolute_sigmar   gO=N?g5=`6?g[u|?g-/i@c                 S   s   ||  S r   r   r   r   r   r   f_flat  s    z&TestCurveFit.test_pcov.<locals>.f_flatr=   z3Covariance of the parameters could not be estimated)r   r   r   r_   )r   r
   r   sqrtr6   r   infZreshaper   filterr   r   r   r   )r   xdataydatar   r%   r   r   r   Zperr_scaledZperrr   Zpcov_expectedsuppopt1pcov1r   r   r   	test_pcov  sJ    




H
zTestCurveFit.test_pcovc                 C   s:   dd }g d}g d}t t|||d ddgdd	 d S )
Nc                 S   s   ||  | S r   r   r   r   r   r   f_linear  s    z.TestCurveFit.test_array_like.<locals>.f_linearr   )rh   r   r   	   r   r-   r.   g|=r|   )r   r   )r   r   r   r   r   r   r   test_array_like  s    zTestCurveFit.test_array_likec                 C   s4   t g d}t g d}tttdd || d S )N)r.   r-   rh   r=   r      )r.   r-   rh   r=   g      @r  c                 S   s   ||  S r   r   r   r   r   r   r&      r'   z<TestCurveFit.test_indeterminate_covariance.<locals>.<lambda>)r   r
   r   r   r   r   r   r   r   r   r   test_indeterminate_covariance  s
    
z*TestCurveFit.test_indeterminate_covariancec                 C   sl   t dt jdg}t g d}tttdd || tttdd || tttdd ||fi dd	i d S )
Nr.   rh   r.   r-   rh   c                 S   s   ||  | S r   r   r   r   r   r   r&   *  r'   z0TestCurveFit.test_NaN_handling.<locals>.<lambda>c                 S   s   ||  | S r   r   r   r   r   r   r&   ,  r'   c                 S   s   ||  | S r   r   r   r   r   r   r&   .  r'   r   T)r   r
   nanrT   rm   r   r  r   r   r   test_NaN_handling"  s    

zTestCurveFit.test_NaN_handlingc                 C   s,  | |||dd}d}t t|d( tf i |ddd W d    n1 sN0    Y  t tdd& tf i |d	d
i W d    n1 s0    Y  tf i |d	di\}}	||d< ||d< tf i |\}
}	t||
 d}t t|d& tf i |d	di W d    n1 s0    Y  d S )NF)r%   r   r   r   r   z;`nan_policy='propagate'` is not supported by this function.rn   	propagatei  )
nan_policyr   zThe input contains nanr
  raiseZomitr   r   z3nan_policy must be one of {'None', 'raise', 'omit'}hi)rT   rm   r   r   )r%   xdata_with_nanxdata_without_nanydata_with_nanydata_without_nanr   kwargs	error_msgZresult_with_nan_Zresult_without_nanr   r   r   _check_nan_policy1  s     64
zTestCurveFit._check_nan_policyr   r   c                 C   sn   dd }t ddt jddt jg}t ddddt jdg}t g d	}t g d
}| |||||| d S )Nc                 S   s   ||  | S r   r   r   r   r   r   r%   O  s    z*TestCurveFit.test_nan_policy_1d.<locals>.fr-   rh   r=   r.   r   r   )r-   rh   r=   r  r   r
   r  r  r   r   r%   r  r  r  r  r   r   r   test_nan_policy_1dM  s    
zTestCurveFit.test_nan_policy_1dc              
   C   s   dd }t ddt jddt jdgddt jt jdt jdgg}t ddddt jdd	g}t g d
g dg}t g d}| |||||| d S )Nc                 S   s0   | dd d f }| dd d f }|| | | S Nr   r.   r   r   r   r   r   Zx2r   r   r   r%   \  s    z*TestCurveFit.test_nan_policy_2d.<locals>.fr-   rh   r=   r   r   r.   ru   r-   rh   r   r-   rh   r   r.   r-   ru   r  r  r   r   r   test_nan_policy_2dZ  s    
zTestCurveFit.test_nan_policy_2dr8   r-   rh   c              
   C   s   dd }t ddt jddt jdgddt jt jdt jdggg}|dkrN| n|}t ddddt jdd	g}t g d
g dgg}t g d}| |||||| d S )Nc                 S   s<   | ddd d f   }| ddd d f   }|| | | S )N.r   r.   )squeezer  r   r   r   r%   m  s    z,TestCurveFit.test_nan_policy_2_3d.<locals>.fr-   rh   r=   r   r   r.   ru   r  r  r  )r   r
   r  r  r  )r   r8   r   r%   r  r  r  r  r   r   r   test_nan_policy_2_3dj  s    
z!TestCurveFit.test_nan_policy_2_3dc                 C   s`   t ttdd g g  t ttdd g g dd t ttdd dgg  t ttdd d	gg dd d S )
Nc                 S   s   ||  S r   r   r   r   r   r   r&   ~  r'   z0TestCurveFit.test_empty_inputs.<locals>.<lambda>c                 S   s   ||  S r   r   r   r   r   r   r&     r'   )r.   r-   )boundsc                 S   s   ||  S r   r   r   r   r   r   r&     r'   r.   c                 S   s   ||  S r   r   r   r   r   r   r&     r'   r-   rT   rm   r   r   r   r   r   test_empty_inputs|  s    zTestCurveFit.test_empty_inputsc                 C   s    t ttdd ddgddg d S )Nc                 S   s   | S r   r   rf   r   r   r   r&     r'   z8TestCurveFit.test_function_zero_params.<locals>.<lambda>r.   r-   rh   r=   r!  r   r   r   r   test_function_zero_params  s    z&TestCurveFit.test_function_zero_paramsc                 C   s.   t dd d dtd \}}t|dg d S )Nc                 S   s   |t d S rt   )r   arange)r  r   r   r   r   r&     r'   z*TestCurveFit.test_None_x.<locals>.<lambda>r-   ru   r@   )r   r   r$  r   )r   r   r   r   r   r   test_None_x  s    zTestCurveFit.test_None_xc                 C   sf   dd }t ddd}||dd}dD ]&}t||||d\}}t|ddg q&ttt|||d	d d S )
Nc                 S   s   |t | |   S r   r   r   r   r   r   r%     s    z,TestCurveFit.test_method_argument.<locals>.fr   r.      r@   r   r   r   Nr   unknown)r   r   r   r   rT   rm   )r   r%   r   r   r   r   r   r   r   r   test_method_argument  s    z!TestCurveFit.test_method_argumentc           
      C   s   dd }t ddd}||dd}dD ]}t||||dd	\}}}}}	t|ddg d
|v s`J d|v slJ |dks||d u rd|v sJ d|v sJ d|v sJ t|tsJ |	dv s&J q&d S )Nc                 S   s   |t | |   S r   r   r   r   r   r   r%     s    z(TestCurveFit.test_full_output.<locals>.fr   r.   r&  r@   r'  T)r   rD   ZnfevZfvecr   ZfjacZipvtZqtfr   )r   r   r   r   
isinstancestr)
r   r%   r   r   r   r   r   r   r   rJ   r   r   r   r     s     
zTestCurveFit.test_full_outputc              	   C   s   dd }t ddd}||dd}ddg}dd	g}||f}t||}d
D ]H}t|||||d\}	}
t|	d d t|||||d\}}t||	 qHt|||dddgdt jgfd\}	}
t|	d d ttt||||dd d S )Nc                 S   s   |t | |   S r   r   r   r   r   r   r%     s    z#TestCurveFit.test_bounds.<locals>.fr   r.   r&  r@   r   rR   r   )Nr   r   )r   r   r   rA   g333333?)r   r   r   )r   r   r   r   r   r   rT   rm   )r   r%   r   r   ZlbZubr   Zbounds_classr   r   r   Z
popt_classZ
pcov_classr   r   r   test_bounds  s0    





zTestCurveFit.test_boundsc           	   	   C   s   dd }t dt j dt j d}t |}dt j dt j f}dD ]F}t|||d	t j d
\}}t|||d	t j ||d\}}t|| qDd S )Nc                 S   s   t | | S r   )r   sinr   r   r   r   r%     s    z&TestCurveFit.test_bounds_p0.<locals>.fr-   r   rh   r   r   g @r   )r   r   r   )r   r   pir.  r   r   )	r   r%   r   r   r   r   Zpopt_1r  Zpopt_2r   r   r   test_bounds_p0  s    

zTestCurveFit.test_bounds_p0c           
   	   C   s   dd }dd }t ddd}||dd}d	D ]2}d
D ](}t|||||d\}}t|ddg q6q.dD ](}t|||||d\}}t|ddg qfd|d< t |jd }	d|	d< dD ].}t||||	||d\}}t|ddgdd qd S )Nc                 S   s   |t | |   S r   r   r   r   r   r   r%     s    z TestCurveFit.test_jac.<locals>.fc                 S   s*   t | |  }t || |  | fjS r   r   r   r   r   r   r   r   er   r   r   r9     s    z"TestCurveFit.test_jac.<locals>.jacr   r.   r&  r@   r1  )z2-pointz3-pointcs)r9   r   r-   r   r   r9   rx   r      )r   r   r9   r{   r   )r   r   r   r   r   r   )
r   r%   r9   r   r   r   schemer   r   r   r   r   r   test_jac  s*    


zTestCurveFit.test_jacc                 C   sh   t dd}d| }tdd ||ddd\}}td	d ||ddd
\}}t|ddd t|ddd d S )Nr   ru   r-   c                 S   s   ||  S r   r   r   r~   r   r   r   r&     r'   z5TestCurveFit.test_maxfev_and_bounds.<locals>.<lambda>)r   rh   rx   )r   r   c                 S   s   ||  S r   r   r<  r   r   r   r&     r'   )r   Zmax_nfev+=r|   )r   r$  r   r   )r   r   r   r   r  r   r   r   r   test_maxfev_and_bounds  s    z#TestCurveFit.test_maxfev_and_boundsc              
   C   s   dd }dd }t jd t ddd}||dd	}|d
t jjt|d  }t t|d
 }t |d }||fdfD ]^\}}	dD ]P}
t||||||
d\}}t|||||	|
d\}}t	||dd t	||dd qq|d S )Nc                 S   s   |t | |   S r   r   r   r   r   r   rW     s    z9TestCurveFit.test_curvefit_simplecovariance.<locals>.funcc                 S   s*   t | |  }t || |  | fjS r   r4  r5  r   r   r   r9     s    z8TestCurveFit.test_curvefit_simplecovariance.<locals>.jacr   r=   2         @?皙?sizer-   NNFTr   r9   r   r=  r|   )
r   r   r   r   normalr(   zerosr6   r   r   )r   rW   r9   r   r   r   r   covarjac1jac2r   r   r   r   r   r   r   r   test_curvefit_simplecovariance  s$    



z+TestCurveFit.test_curvefit_simplecovariancec              
   C   sV  dd }dd }dd }dd }t jd	 t d
d}||dd}|dt jjt|d  }t t|d }t |d }	t dt 	d dt 	d d	gdt 	d dt 	d d	gg dg}
|

|}|

|	
|
j}||fdfD ]b\}}dD ]T}t||||||d\}}t||||||d\}}t||ddd t||ddd qqd S )Nc                 S   sb   t dt d dt d dgdt d dt d dgg dg}||t | |   S Nr   r-         r   r   r   r   )r   r
   r   dotr   )r   r   r   rotnr   r   r   funcp.  s    Hz4TestCurveFit.test_curvefit_covariance.<locals>.funcpc                 S   sx   t dt d dt d dgdt d dt d dgg dg}t | |  }|t || |  | fjS rN  )r   r
   r   r   rQ  r   r   )r   r   r   rR  r6  r   r   r   jacp2  s    Hz3TestCurveFit.test_curvefit_covariance.<locals>.jacpc                 S   s   |t | |   S r   r   r   r   r   r   rW   7  s    z3TestCurveFit.test_curvefit_covariance.<locals>.funcc                 S   s*   t | |  }t || |  | fjS r   r4  r5  r   r   r   r9   :  s    z2TestCurveFit.test_curvefit_covariance.<locals>.jacr   r.   r=   r@  r   rB  rC  r-   rO  rP  rE  rF  rG  g+i)+>r=  )r   r}   )r   r   r   r$  rH  r(   rI  r6   r
   r   rQ  r   r   r   )r   rS  rT  rW   r9   r   r   r   r   rJ  rR  ZydatapZcovarprK  rL  r   r   r   r   r   r   r   r   test_curvefit_covariance,  s.    H




z%TestCurveFit.test_curvefit_covariancec           	   
   C   s   t dd}d| d dt |  }dd }dD ]}t jt jfD ]}t jt jfD ]}||}||}qRt R td	t	 t
||||d
\}}t | sJ t |drJ W d    qB1 s0    Y  qBq2d S )Nr0  r   rR   r   r>   c                 S   s   ||  | S r   r   r   r   r   r   rW   ]  s    z&TestCurveFit.test_dtypes.<locals>.funcr   errorr(  r.   )r   r$  r.  rz   r   astypewarningscatch_warningssimplefilterr   r   isfiniter   Zallclose)	r   r   r   rW   r   ZdtxZdtyr~   covr   r   r   test_dtypesX  s    

zTestCurveFit.test_dtypesc                 C   s   dd }t g d}t g d}t g d}g d}t g d}||g|R  }t||||||fd\}}	|t j}||g|R  }t||||||fd\}
}	t|
|d	d
 d S )Nc                 S   sJ   || d }|| d }||| |   |t | | d |d d    S )Nr-   r=   )r   r   )r   Zs_1Zs_2Zo_xZo_yr   Zb_2Zb_1r   r   r   	hyperbolap  s    z,TestCurveFit.test_dtypes2.<locals>.hyperbola)g      rA          g      $rA   )rA   r   r   rA   g      $@)ggUUUUUU?r   g      r>   )r/  g?r   )iiir=   r=   r          )r%   r   r   r   r   gh㈵>r|   )r   r
   r   rW  rz   r   )r   r^  Zmin_fitZmax_fitr   paramsr   r   Zpopt_64r  Zpopt_32r   r   r   test_dtypes2m  s     



zTestCurveFit.test_dtypes2c                    s   t d}d|d  d|  t jt|   fdd}dD ]<}t||t ||d\}}t||d	|d\}}t|| q>d S )
Nru   g@r-   g      @c                    s   || d  ||     S r   r   r   targetr   r   fit_func  s    z/TestCurveFit.test_broadcast_y.<locals>.fit_funcr   )r   r   r   r   )r   r$  r   Zrandr(   r   Z
zeros_liker   )r   r   rh  r   Zpopt0Zpcov0r   r   r   rf  r   test_broadcast_y  s    
$

zTestCurveFit.test_broadcast_yc                 C   sP   dd }t t, t|g dg ddgdd W d    n1 sB0    Y  d S )Nc                 S   s   ||  | S r   r   r   r   r   r   rW     s    z.TestCurveFit.test_args_in_kwargs.<locals>.funcr   r   r        r.   r[   )r   r   r   rC   r!  rr   r   r   r   test_args_in_kwargs  s    
z TestCurveFit.test_args_in_kwargsc                 C   sN   dd }t tdd& t|g dg dd W d    n1 s@0    Y  d S )Nc                 S   s    |t | |   | | | S r   r   r   r   r   r   dr6  r   r   r   rW     s    z<TestCurveFit.test_data_point_number_validation.<locals>.funczThe number of func parameters=rn   r   rj  )r   r   )rT   rU   r   rr   r   r   r   !test_data_point_number_validation  s    z.TestCurveFit.test_data_point_number_validationzignore::RuntimeWarningc           	      C   s   dd }t jd}d}t |}t dd||| }tj|||dd\}}t t |d	kshJ t	
|d	 }t |d
ksJ t||j d S )Nc                 S   s0   |t | d |  |t | d |   | S Nr.   r   logrn  r   r   r   r%     s    z#TestCurveFit.test_gh4555.<locals>.f   MI9V$O-rx   r-   r   i r   r   g{Gz)r   r   default_rngr$  r   r   r   r   r6   r   Zeighr   r   )	r   r%   rngr8   r   r   r~   r\  Zeigsr   r   r   test_gh4555  s    
zTestCurveFit.test_gh4555c           
      C   s   t jd}dd }t ddd}||ddd	}d
|j|jd }|| }t|||\}}g dg dg dg}	t||	d d S )Nrt  c                 S   s   |t | |   | S r   r   )r   r   r   r   r   r   r   rW     s    z'TestCurveFit.test_gh4555b.<locals>.funcr   r=   r?  r@  rA  r>   rB  rC  )gt^G?d*.X|?T}H)rx  g1x?u`v?)ry  rz  gon2f?gH׊>)r   r   ru  r   rH  rD  r   r   )
r   rv  rW   r   r   Zy_noiser   r  r   refr   r   r   test_gh4555b  s    zTestCurveFit.test_gh4555bc                    s   t jd}t ddd}d| d |jddd  }fd	d
 fdd d _d  _t ddg}t|||d d d S )Nl   FjGb r   rh   e   r-   r.   rC  r>   c                    s.   t  j|krJ | _| |d  |d  S r  )r   r   last_pr<  )liner   r   r    s    z'TestCurveFit.test_gh13670.<locals>.linec                    s0   t  j|krJ | _t | t | gjS r   )r   r   r~  r
   r   r   r<  )r9   r   r   r9     s    z&TestCurveFit.test_gh13670.<locals>.jacr   g      @r   r8  )r   r   ru  r   rH  r~  r
   r   )r   rv  r   r   r   r   )r9   r  r   test_gh13670  s    zTestCurveFit.test_gh13670N)(r    r!   r"   r   r   r   r   r   r   r  r  r  staticmethodr  pytestmarkZparametrizer  r  r  r"  r#  r%  r*  r   r-  r3  r;  r>  rM  rU  r]  re  ri  rm  rp  filterwarningsrw  r|  r  r   r   r   r   r     sL   
0	


	"$,	

r   c                   @   sL   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dd Z
dS )TestFixedPointc                 C   s$   dd }d}t ||}t|d d S )Nc                 S   s   d|  S Nr@   r   rf   r   r   r   rW     s    z0TestFixedPoint.test_scalar_trivial.<locals>.funcr   rA   r   r   r   rW   rX   r   r   r   r   test_scalar_trivial  s    
z"TestFixedPoint.test_scalar_trivialc                 C   s$   dd }d}t ||}t|d d S )Nc                 S   s   | d S r   r   rf   r   r   r   rW     s    z/TestFixedPoint.test_scalar_basic1.<locals>.func?r   r  r  r   r   r   test_scalar_basic1  s    
z!TestFixedPoint.test_scalar_basic1c                 C   s$   dd }d}t ||}t|d d S )Nc                 S   s   | d S Nr>   r   rf   r   r   r   rW     s    z/TestFixedPoint.test_scalar_basic2.<locals>.funcr  r   r  r  r   r   r   test_scalar_basic2  s    
z!TestFixedPoint.test_scalar_basic2c                 C   sX   dd }ddg}t jdd t||}W d    n1 s<0    Y  t|ddg d S )Nc                 S   s   d|  S r  r   rf   r   r   r   rW     s    z/TestFixedPoint.test_array_trivial.<locals>.funcg333333?g333333?ignorer   rA   )r   errstater   r   r  r   r   r   test_array_trivial
  s
    (z!TestFixedPoint.test_array_trivialc                 C   sj   dd }t g d}g d}tjdd  t|||fd}W d    n1 sN0    Y  t|d|  d S )	Nc                 S   s   || d  S r   r   r   r   r   r   r   rW     s    z.TestFixedPoint.test_array_basic1.<locals>.funcg      ?r   g      ?)皙?gffffff?g?r  r  r\   r   )r
   r   r  r   r   r   rW   r   rX   r   r   r   r   test_array_basic1  s    .z TestFixedPoint.test_array_basic1c                 C   s>   dd }t g d}g d}t|||fd}t||d  d S )Nc                 S   s   || d  S r  r   r  r   r   r   rW     s    z.TestFixedPoint.test_array_basic2.<locals>.funcr  )g?r  r  r\   r-   )r
   r   r   r  r   r   r   test_array_basic2  s
    z TestFixedPoint.test_array_basic2c                 C   sD   t dd ddddd}t|td| d	  t|td
d  d S )Nc                 S   s   t d|  d S )Nr_  r@   r   )xxr   r   r   r&   '  r'   z.TestFixedPoint.test_lambertw.<locals>.<lambda>r   r   g-q=i  )rC   Zxtolmaxiterr_  r@   r.   r-   )r   r   r   r   r   )r   Zxxrootr   r   r   test_lambertw%  s
    
zTestFixedPoint.test_lambertwc                    s`   ddd}d}|d |  | d|d      fdd}t ||dd	}t|| d S )
Nr-   r  rA  gjt?r.   c                    s,   t  |  t  |  | d   d S rq  rr  )r8   Zi0klksr   r   rW   4  s    z1TestFixedPoint.test_no_acceleration.<locals>.func	iterationr(  )r   r   )r   mZn0rW   r8   r   r  r   test_no_acceleration,  s    $z#TestFixedPoint.test_no_accelerationN)r    r!   r"   r  r  r  r  r  r  r  r  r   r   r   r   r    s   
	r  ),r#   rX  r  Znumpy.testingr   r   r   r   r   r   r   r	   rT   numpyr   r
   r   Zmultiprocessing.poolr   Zscipyr   r   Zscipy.specialr   Zscipy.optimize._minpack_pyr   r   r   Zscipy.optimizer   Zscipy.optimize._minimizer   r   r$   r,   r5   r:   r;   r<   r   r   r   r   r  r   r   r   r   <module>   s:   $	l      T