o
    g                     @   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   _/home/ubuntu/cloudmapper/venv/lib/python3.10/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__       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$   s   
r%   c                 C   s@   t t| }|dd | W  d    S 1 sw   Y  d S )Nc                 S   s   |  S r   r   )fr   r   r   <lambda>-   s    z#sequence_parallel.<locals>.<lambda>)r   lenmap)fspoolr   r   r   sequence_parallel+   s   $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   hstacksum)
flow_ratesQtotkPFr   r   r   pressure_network4   s   &r6   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   )r1   r2   r3   npdiffjacr   r   r   pressure_network_jacobianS   s   6 r<   c                 C   s   t | ||t| ||fS r   )r6   r<   )r1   r2   r3   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         ?       @        rB   rC   Targsfull_outputr.   )	r   fullr
   r   fsolver6   r   r   r   )r   r3   r2   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@   rA   rE   fprime)	r   rG   r
   r   rH   r6   r<   r   r   r   r3   r2   rI   rJ   r   r   r   #test_pressure_network_with_gradient{   s   
z.TestFSolve.test_pressure_network_with_gradientc                 C   $   t d}ddg}tttj|| d S Nr.         ?rB   r   assert_raises	TypeErrorr   rH   r   funcx0r   r   r   test_wrong_shape_func_callable      z)TestFSolve.test_wrong_shape_func_callablec                 C       ddg}t ttjt|dd d S NrU   rB   )r.   rE   )rW   rX   r   rH   r%   r   r[   r   r   r   test_wrong_shape_func_function      z)TestFSolve.test_wrong_shape_func_functionc                 C   ,   t d}t d}tttj|ddg|d d S )Nr.   r-   r-   r   r[   rP   rV   r   rZ   
deriv_funcr   r   r    test_wrong_shape_fprime_callable      z+TestFSolve.test_wrong_shape_fprime_callablec                 C   ,   dd }dd }t ttj|ddg|d d S )Nc                 S   
   t | dS N)r-   r%   r   r   r   r   r'         
 z=TestFSolve.test_wrong_shape_fprime_function.<locals>.<lambda>c                 S   rm   N)   rs   ro   rp   r   r   r   r'      rq   r   r.   rg   )rW   rX   r   rH   rh   r   r   r    test_wrong_shape_fprime_function   rk   z+TestFSolve.test_wrong_shape_fprime_functionc                 C   J   dd }t tdd tj|dgd W d    d S 1 sw   Y  d S )Nc                  W      t dNI raised
ValueErrorra   r   r   r   rZ         z,TestFSolve.test_func_can_raise.<locals>.funcrx   matchr   r[   rW   rz   r   rH   r   rZ   r   r   r   test_func_can_raise      "zTestFSolve.test_func_can_raisec                 C   T   dd }dd }t tdd tj|dg|d W d    d S 1 s#w   Y  d S )	Nc                 S      | t dg S N
   r   r
   rp   r   r   r   r'          z0TestFSolve.test_Dfun_can_raise.<locals>.<lambda>c                  W   rv   rw   ry   ra   r   r   r   ri      r{   z2TestFSolve.test_Dfun_can_raise.<locals>.deriv_funcrx   r|   r   rg   r   rh   r   r   r   test_Dfun_can_raise   
   "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  dtyper-   )r   r
   float32rp   r   r   r   r'      s   ( z)TestFSolve.test_float32.<locals>.<lambda>r.   r   MbP?atol)r   rH   r   r
   r   r   )r   rZ   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                            t|  S r   )rN   r6   ra   r   r   r   rZ         z,TestFSolve.test_reentrant_func.<locals>.funcr?   r@   rA   TrD   r.   )r   rG   r
   r   rH   r   r   r   )	r   rZ   r3   r2   rI   rJ   rK   rL   rM   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                     r   r   )rR   r<   ra   r   r   r   ri      r   z3TestFSolve.test_reentrant_Dfunc.<locals>.deriv_funcr?   r@   rA   rO   )r   rG   r
   r   rH   r6   r   r   )r   ri   r3   r2   rI   rJ   r   r   r   test_reentrant_Dfunc   s   
zTestFSolve.test_reentrant_Dfuncc                 C   *   t | jgd }tdd |D sJ d S )Nr   c                 S      g | ]}|d u qS r   r   .0resultr   r   r   
<listcomp>       z:TestFSolve.test_concurrent_no_gradient.<locals>.<listcomp>)r,   rN   allr   vr   r   r   test_concurrent_no_gradient      z&TestFSolve.test_concurrent_no_gradientc                 C   r   )Nr   c                 S   r   r   r   r   r   r   r   r      r   z<TestFSolve.test_concurrent_with_gradient.<locals>.<listcomp>)r,   rR   r   r   r   r   r   test_concurrent_with_gradient   r   z(TestFSolve.test_concurrent_with_gradientN)r!   r"   r#   rN   rR   r\   rc   rj   rt   r   r   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   H   t dd}d}tg d}tjt|d||fdj}t|t d d S )Nr?   r@   rA   hybrmethodrE   	r   rG   r
   r   rootr6   r   r   r   rQ   r   r   r   rN         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@   rA   r   rE   r   r;   )
r   rG   r
   r   r   r6   r<   r   r   r   rQ   r   r   r   rR      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@   rA   r   Tr   )	r   rG   r
   r   r   r=   r   r   r   rQ   r   r   r   ,test_pressure_network_with_gradient_combined   s   z9TestRootHybr.test_pressure_network_with_gradient_combinedN)r!   r"   r#   rN   rR   r   r   r   r   r   r      s    	
r   c                   @   s   e Zd Zdd ZdS )
TestRootLMc                 C   r   )Nr?   r@   rA   lmr   r   rQ   r   r   r   rN      r   z,TestRootLM.test_pressure_network_no_gradientN)r!   r"   r#   rN   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$ Zd%d& Zd'S )(TestLeastSqc                 C   sj   t ddd}d\}}}|| _|||f| _||d  ||  | }t jd |dt j|j  | _d S )Nr   r   (   )g@*   g33333sr-   g{Gz?)	r   linspacer   abcrandomseedstandard_normalr   y_meas)r   r   abcy_truer   r   r   setup_method  s   
zTestLeastSq.setup_methodc                 C   s*   |\}}}|||d  ||  |  }|S Nr-   r   )r   r   yr   r   r   r   errr   r   r   	residuals  s   
zTestLeastSq.residualsc                 C   s   t |d |t |gj S r   )r   vstack	ones_likeT)r   _p_yr   r   r   r   residuals_jacobian  s   zTestLeastSq.residuals_jacobianc                 C   sN   t g d}t| j|| j| jfd\}}t|dv d|  t|| jdd d S )Nr   r   r   ra   r.   r-   rs   r?   solution not found (ier=%d)r-   decimalr
   r   r   r   r   r   r   r   r   p0
params_fitrL   r   r   r   
test_basic  s   

zTestLeastSq.test_basicc                 C   sR   t g d}t| j|| j| jf| jd\}}t|dv d|  t|| jdd d S )Nr   rE   Dfunr   r   r-   r   )	r
   r   r   r   r   r   r   r   r   r   r   r   r   test_basic_with_gradient  s   

z$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   TrD   r   solution not found: %s)r
   r   r   r   r   r   )r   r   rF   r   cov_xinfodictrM   rL   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   r   T)copyrD   r   r   )r
   r   r   r   r   r   r   r   )	r   r   p0_copyrF   r   r   r   rM   rL   r   r   r   test_input_untouched-  s   
z TestLeastSq.test_input_untouchedc                 C   rS   rT   r   rW   rX   r   r   rY   r   r   r   r\   7  r]   z*TestLeastSq.test_wrong_shape_func_callablec                 C   r^   r_   )rW   rX   r   r   r%   rb   r   r   r   rc   >  rd   z*TestLeastSq.test_wrong_shape_func_functionc                 C   re   )Nr.   rf   r   r[   r   r   rh   r   r   r   test_wrong_shape_Dfun_callableD  rk   z*TestLeastSq.test_wrong_shape_Dfun_callablec                 C   rl   )Nc                 S   rm   rn   ro   rp   r   r   r   r'   J  rq   z<TestLeastSq.test_wrong_shape_Dfun_function.<locals>.<lambda>c                 S   rm   rr   ro   rp   r   r   r   r'   K  rq   r   r.   r   rW   rX   r   r   rh   r   r   r   test_wrong_shape_Dfun_functionI  rk   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-   rB   rs   r   exp)r   r   r   qr   r   r   rZ   P  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-?r   )
gJ4?gN@aÓ?g^K=?gMO?g?g?W[?gl?g{Pk?g rh?gׁsF?)      ?r   r   r   ra   r   r-   g-C6?)r   r
   r   r   r   r   r0   )r   rZ   r   r   r   p1successr   r   r   r   N  s   

4zTestLeastSq.test_float32c                 C   ru   )Nc                  W   rv   rw   ry   ra   r   r   r   rZ   _  r{   z-TestLeastSq.test_func_can_raise.<locals>.funcrx   r|   r   r~   rW   rz   r   r   r   r   r   r   r   ^  r   zTestLeastSq.test_func_can_raisec                 C   r   )	Nc                 S   r   r   r   rp   r   r   r   r'   f  r   z1TestLeastSq.test_Dfun_can_raise.<locals>.<lambda>c                  W   rv   rw   ry   ra   r   r   r   ri   h  r{   z3TestLeastSq.test_Dfun_can_raise.<locals>.deriv_funcrx   r|   r   r   r   rh   r   r   r   r   e  r   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                             j|  S r   )r   r   ra   r   r   r   rZ   o     
z-TestLeastSq.test_reentrant_func.<locals>.funcr   ra   r   r   r-   r   )r
   r   r   r   r   r   r   )r   rZ   r   r   rL   r   r   r   r   n  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                     r   r   )r   r   ra   r   r   r   ri   {  r   z3TestLeastSq.test_reentrant_Dfun.<locals>.deriv_funcr   r   r   r   r-   r   r   )r   ri   r   r   rL   r   r   r   test_reentrant_Dfunz  s   

zTestLeastSq.test_reentrant_Dfunc                 C   r   )Nr   c                 S   r   r   r   r   r   r   r   r     r   z;TestLeastSq.test_concurrent_no_gradient.<locals>.<listcomp>)r,   r   r   r   r   r   r   r     r   z'TestLeastSq.test_concurrent_no_gradientc                 C   r   )Nr   c                 S   r   r   r   r   r   r   r   r     r   z=TestLeastSq.test_concurrent_with_gradient.<locals>.<listcomp>)r,   r   r   r   r   r   r   r     r   z)TestLeastSq.test_concurrent_with_gradientc                 C   sL   dd }t tdd tj|ddgd W d    d S 1 sw   Y  d S )Nc                 S   s   d| d d d  d S )Nr-   r   rs   r.   r   rp   r   r   r   rZ        z=TestLeastSq.test_func_input_output_length_check.<locals>.funcz+Improper input: func input vector length N=r|   r   r.   r~   r   r   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   r\   rc   r   r   r   r   r   r   r   r   r   r   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$ Zd%d& Zd'd( Zd)d* Zd+d, Zd-d. Zd/d0 Zd1d2 Zejd3d4d5 Zd6d7 Z d8S )9TestCurveFitc                 C   s    t g d| _t g d| _d S )N)r   g	@      #@gffffff+@)r   rB         @g      @)r
   r   r   r   r   r   r   r     s   zTestCurveFit.setup_methodc           
      C   s   dd }t || j| j\}}tt|dk t|jdk t|d ddd t|d	 d
dd t || j| jddd}|\}}}}}	t|| d S )Nc                 S   s   | | S r   r   r   r   r   r   r   rZ     r{   z,TestCurveFit.test_one_argument.<locals>.funcr.   )r.   r.   r   g3ı.n?r?   r   )r   r   g-C6Z?F)rF   check_finite)r   r   r   r   r(   r   r   r   )
r   rZ   poptpcovrespopt2pcov2r   errmsgrL   r   r   r   test_one_argument  s   zTestCurveFit.test_one_argumentc                 C   sj   dd }t || j| j\}}tt|dk t|jdk t|ddgdd t|d	d
gd
dggdd d S )Nc                 S   s   || |  S r   r   r   r   r   r   r   r   rZ     r    z,TestCurveFit.test_two_argument.<locals>.funcr-   rf   c]K?-?r?   r   䃞ͪϵ?T㥛 b=y?)r   r   r   r   r(   r   r   )r   rZ   r   r   r   r   r   test_two_argument  s   
zTestCurveFit.test_two_argumentc                 C   sh   G dd d}| }t |j| j| j\}}t|jdk t|ddgdd t|dd	gd	d
ggdd d S )Nc                   @   s   e Zd ZdZdd ZdS )z8TestCurveFit.test_func_is_classmethod.<locals>.test_selfzThis class tests if curve_fit passes the correct number of
               arguments when the model function is a class instance method.
            c                 S   s   |||  S r   r   )r   r   r   r   r   r   r   rZ     r    z=TestCurveFit.test_func_is_classmethod.<locals>.test_self.funcN)r!   r"   r#   r$   rZ   r   r   r   r   	test_self  s    r  rf   r   r   r?   r   r   r   r   )r   rZ   r   r   r   r   r   )r   r  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-   rB   r   )r   r[   x1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   guess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 qd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 sw   Y  t|jdk t|| t|jdk t|| d S )N)r   r.   r-   rs   r?      )r.   r.   r           )r.   r-   r.   r-   r.   r-   c                 S      ||  | S r   r   r   r   r   r   r&     r    z!TestCurveFit.test_pcov.<locals>.fr   trfdogboxr-   r   )r   r
  r   gN"q?g~uM/N?r   r  rs   T)r   r
  absolute_sigmar   gO=N?g5=`6?g[u|?g-/i@c                 S      ||  S r   r   r   r   r   r   f_flat  r{   z&TestCurveFit.test_pcov.<locals>.f_flatr?   z3Covariance of the parameters could not be estimated)r   r
  r   rf   )r   r
   r   sqrtr7   r   infreshaper   filterr   r   r   r   )r   xdataydatar
  r&   r   r   r   perr_scaledperrr  pcov_expectedsuppopt1pcov1r   r   r   	test_pcov  sL   



*
zTestCurveFit.test_pcovc                 C   s:   dd }g d}g d}t t|||d ddgdd	 d S )
Nc                 S   r  r   r   r   r   r   r   f_linear  r    z.TestCurveFit.test_array_like.<locals>.f_linearr   )rs   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-   rs   r?   r     )r.   r-   rs   r?   g      @r/  c                 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.   rs   )r.   r-   rs   c                 S   r  r   r   r   r   r   r   r'   #      z0TestCurveFit.test_NaN_handling.<locals>.<lambda>c                 S   r  r   r   r   r   r   r   r'   %  r3  c                 S   r  r   r   r   r   r   r   r'   '  r3  r   T)r   r
   nanrW   rz   r   r1  r   r   r   test_NaN_handling  s   


zTestCurveFit.test_NaN_handlingc                 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   r  r   r   r   r   r   r   r'   ,  r0  z0TestCurveFit.test_empty_inputs.<locals>.<lambda>c                 S   r  r   r   r   r   r   r   r'   -  r0  )r.   r-   )boundsc                 S   r  r   r   r   r   r   r   r'   /  r0  r.   c                 S   r  r   r   r   r   r   r   r'   0  r0  r-   rW   rz   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   rp   r   r   r   r'   5  s    z8TestCurveFit.test_function_zero_params.<locals>.<lambda>r.   r-   rs   r?   r7  r   r   r   r   test_function_zero_params3  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 r   )r   arange)_r   r   r   r   r'   8  s    z*TestCurveFit.test_None_x.<locals>.<lambda>r-   r   rB   )r   r   r:  r   )r   r   r   r   r   r   test_None_x7  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      |t | |   S r   r   r   r   r   r   r&   =     z,TestCurveFit.test_method_argument.<locals>.fr   r.      rB   r  r  r   Nr   unknown)r   r   r   r   rW   rz   )r   r&   r#  r$  r   r   r   r   r   r   test_method_argument<  s   z!TestCurveFit.test_method_argumentc           
      C   s   dd }t ddd}||dd}dD ]J}t||||dd	\}}}}}	t|ddg d
|v s0J d|v s6J |dks>|d u rPd|v sDJ d|v sJJ d|v sPJ t|tsWJ |	dv s]J qd S )Nc                 S   r=  r   r   r   r   r   r   r&   J  r>  z(TestCurveFit.test_full_output.<locals>.fr   r.   r?  rB   r@  T)r   rF   nfevfvecr   fjacipvtqtfr   )r   r   r   r   
isinstancestr)
r   r&   r#  r$  r   r   r   r   r   rL   r   r   r   r   I  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 ]$}t|||||d\}	}
t|	d d t|||||d\}}t||	 q$t|||dddgdt jgfd\}	}
t|	d d ttt||||dd d S )Nc                 S   r=  r   r   r   r   r   r   r&   ^  r>  z#TestCurveFit.test_bounds.<locals>.fr   r.   r?  rB   r   rU   r   )Nr  r  )r6  r   r  rC   g333333?)r   r6  r   )r   r   r   r   r   r   rW   rz   )r   r&   r#  r$  lbubr6  bounds_classr   r   r   
popt_class
pcov_classr   r   r   test_bounds]  s0   






zTestCurveFit.test_boundsc           	   	   C   s   dd }t dt j dt j d}t |}dt j dt j f}dD ]#}t|||d	t j d
\}}t|||d	t j ||d\}}t|| q"d S )Nc                 S   s   t | | S r   )r   sinr   r   r   r   r&     s   z&TestCurveFit.test_bounds_p0.<locals>.fr-   r   rs   r  r  g @r  )r   r6  r   )r   r   pirQ  r   r   )	r   r&   r#  r$  r6  r   popt_1r;  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 ]}d
D ]}t|||||d\}}t|ddg qqdD ]}t|||||d\}}t|ddg q3d|d< t |jd }	d|	d< dD ]}t||||	||d\}}t|ddgdd qZd S )Nc                 S   r=  r   r   r   r   r   r   r&     r>  z TestCurveFit.test_jac.<locals>.fc                 S   *   t | |  }t || |  | fjS r   r   r   r   r   r   r   r   er   r   r   r;     r   z"TestCurveFit.test_jac.<locals>.jacr   r.   r?  rB   rT  )z2-pointz3-pointcs)r;   r   r-   r  )r   r;   r   r     )r
  r   r;   r   r  )r   r   r   r   r   r   )
r   r&   r;   r#  r$  r   schemer   r   r
  r   r   r   test_jac  s.   


zTestCurveFit.test_jacc                 C   sh   t dd}d| }tdd ||ddd\}}td	d ||ddd
\}}t|ddd t|ddd d S )Nr   r   r-   c                 S   r  r   r   r   r   r   r   r   r'     r0  z5TestCurveFit.test_maxfev_and_bounds.<locals>.<lambda>)r   rs   r   )r6  r  c                 S   r  r   r   ra  r   r   r   r'     r0  )r6  max_nfev+=r   )r   r:  r   r   )r   r   r   r)  r;  r   r   r   r   test_maxfev_and_bounds  s   z#TestCurveFit.test_maxfev_and_boundsc              
   C   s   dd }dd }t jd t ddd}||dd	}|d
t jjt|d  }t t|d
 }t |d }||fdfD ]/\}}	dD ](}
t||||||
d\}}t|||||	|
d\}}t	||dd t	||dd qDq>d S )Nc                 S   r=  r   r   r   r   r   r   rZ     r>  z9TestCurveFit.test_curvefit_simplecovariance.<locals>.funcc                 S   rY  r   rZ  r[  r   r   r   r;     r   z8TestCurveFit.test_curvefit_simplecovariance.<locals>.jacr   r?   2         @?皙?sizer-   NNFTr
  r;   r  rc  r   )
r   r   r   r   normalr(   zerosr7   r   r   )r   rZ   r;   r#  r   r$  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 ]1\}}dD ]*}t||||||d\}}t||||||d\}}t||ddd t||ddd q}qwd 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 rt  )r   r
   r  r   rw  r   r   )r   r   r   rx  r\  r   r   r   jacp  s   H z3TestCurveFit.test_curvefit_covariance.<locals>.jacpc                 S   r=  r   r   r   r   r   r   rZ     r>  z3TestCurveFit.test_curvefit_covariance.<locals>.funcc                 S   rY  r   rZ  r[  r   r   r   r;     r   z2TestCurveFit.test_curvefit_covariance.<locals>.jacr   r.   r?   rf  r   rh  ri  r-   ru  rv  rk  rl  rm  g+i)+>rc  )r  r   )r   r   r   r:  rn  r(   ro  r7   r
   r  rw  r   r   r   )r   ry  rz  rZ   r;   r#  r   r$  r
  rp  rx  ydatapcovarprq  rr  r  r)  r*  r   r   r   r   r   test_curvefit_covariance  s2   H




z%TestCurveFit.test_curvefit_covariancec           	   
   C   s   t dd}d| d dt |  }dd }dD ]S}t jt jfD ]J}t jt jfD ]}||}||}q)t ) td	t	 t
||||d
\}}t | sTJ t |dr\J W d    n1 sfw   Y  q!qd S )NrS  r  rU   r   r@   c                 S   r  r   r   r   r   r   r   rZ     r    z&TestCurveFit.test_dtypes.<locals>.funcr  errorrA  r.   )r   r:  rQ  r   r   astypewarningscatch_warningssimplefilterr   r   isfiniter   allclose)	r   r   r   rZ   r   dtxdtyr   covr   r   r   test_dtypes  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   s_1s_2o_xo_yr   b_2b_1r   r   r   	hyperbola  s   2z,TestCurveFit.test_dtypes2.<locals>.hyperbola)g      rC          g      $rC   )rC   r   r   rC   g      $@)ggUUUUUU?r   g      r@   )rR  g?r   )iiir?   r?   r         )r&   r#  r$  r   r6  gh㈵>r   )r   r
   r   r  r   r   )r   r  min_fitmax_fitr  paramsr#  r$  popt_64r;  popt_32r   r   r   test_dtypes2  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 )
Nr   g@r-   g      @c                    s   || d  ||     S r   r   r   targetr   r   r'   :  s    z/TestCurveFit.test_broadcast_y.<locals>.<lambda>r  )r#  r$  r   r   )r   r:  r   randr(   r   
zeros_liker   )r   r#  fit_funcr   popt0pcov0r)  r*  r   r  r   test_broadcast_y7  s    
$

zTestCurveFit.test_broadcast_yc                 C   sR   dd }t t t|g dg ddgdd W d    d S 1 s"w   Y  d S )Nc                 S   r  r   r   r   r   r   r   rZ   I  r    z.TestCurveFit.test_args_in_kwargs.<locals>.funcr   r  r-        r.   r`   )r#  r$  r   rE   r7  r   r   r   r   test_args_in_kwargsF  s   
"z TestCurveFit.test_args_in_kwargsc                 C   sP   dd }t tdd t|g dg dd W d    d S 1 s!w   Y  d S )Nc                 S   s    |t | |   | | | S r   r   r   r   r   r   dr\  r   r   r   rZ   T  s    z<TestCurveFit.test_data_point_number_validation.<locals>.funczThe number of func parameters=r|   r   r  )r#  r$  )rW   rX   r   r   r   r   r   !test_data_point_number_validationS  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s4J t	
|d	 }t |d
ksDJ t||j d S )Nc                 S   s0   |t | d |  |t | d |   | S Nr.   r   logr  r   r   r   r&   b  s   0z#TestCurveFit.test_gh4555.<locals>.f   MI9V$O-r   r-   r  i r  r   g{Gz)r   r   default_rngr:  r   r   r   r   r7   r   eighr   r   )	r   r&   rngr9   r   r   r   r  eigsr   r   r   test_gh4555\  s   
zTestCurveFit.test_gh4555c           
      C   s   t jd}dd }t ddd}||ddd	}d
|j|jd }|| }t|||\}}g dg dg dg}	t||	d d S )Nr  c                 S   s   |t | |   | S r   r   )r   r   r   r   r   r   r   rZ   u  r   z'TestCurveFit.test_gh4555b.<locals>.funcr   r?   re  rf  rg  r@   rh  ri  )gt^G?d*.X|?T}H)r  g1x?u`v?)r  r  gon2f?gH׊>)r   r   r  r   rn  rj  r   r   )
r   r  rZ   r#  r   y_noiser$  r;  r   refr   r   r   test_gh4555bp  s   zTestCurveFit.test_gh4555bN)!r!   r"   r#   r   r   r  r  r  r+  r.  r2  r5  r8  r9  r<  rC  r   rP  rX  r`  rd  rs  r}  r  r  r  r  r  pytestmarkfilterwarningsr  r  r   r   r   r   r     s:    
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   $   dd }d}t ||}t|d d S )Nc                 S      d|  S NrB   r   rp   r   r   r   rZ     r{   z0TestFixedPoint.test_scalar_trivial.<locals>.funcr   rC   r   r   r   rZ   r[   r   r   r   r   test_scalar_trivial     
z"TestFixedPoint.test_scalar_trivialc                 C   r  )Nc                 S      | d S r   r   rp   r   r   r   rZ     r{   z/TestFixedPoint.test_scalar_basic1.<locals>.func?r   r  r  r   r   r   test_scalar_basic1  r  z!TestFixedPoint.test_scalar_basic1c                 C   r  )Nc                 S   r  Nr@   r   rp   r   r   r   rZ     r{   z/TestFixedPoint.test_scalar_basic2.<locals>.funcr  r   r  r  r   r   r   test_scalar_basic2  r  z!TestFixedPoint.test_scalar_basic2c                 C   sX   dd }ddg}t jdd t||}W d    n1 sw   Y  t|ddg d S )Nc                 S   r  r  r   rp   r   r   r   rZ     r{   z/TestFixedPoint.test_array_trivial.<locals>.funcg333333?g333333?ignorer   rC   )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 s'w   Y  t|d|  d S )	Nc                 S      || d  S r   r   r   r   r   r   r   rZ     r    z.TestFixedPoint.test_array_basic1.<locals>.funcg      ?r   g      ?)皙?gffffff?g?r  r  ra   r   )r
   r   r  r   r   r   rZ   r   r[   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   r  r  r   r  r   r   r   rZ     r    z.TestFixedPoint.test_array_basic2.<locals>.funcr  )g?r  r  ra   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  rB   r   )xxr   r   r   r'     s    z.TestFixedPoint.test_lambertw.<locals>.<lambda>r   r   g-q=i  )rE   xtolmaxiterr  rB   r.   r-   )r   r   r   r   r   )r   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/  rg  gjt?r.   c                    s,   t  |  t  |  | d   d S r  r  )r9   i0klksr   r   rZ     s   ,z1TestFixedPoint.test_no_acceleration.<locals>.func	iterationrA  )r   r   )r   mn0rZ   r9   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$   r  r  numpy.testingr   r   r   r   r   r   r   r	   rW   numpyr   r
   r   multiprocessing.poolr   scipyr   r   scipy.specialr   scipy.optimize._minpack_pyr   r   r   scipy.optimizer   scipy.optimize._minimizer   r   r%   r,   r6   r<   r=   r>   r   r   r   r   r  r   r   r   r   <module>   s:    $	h     o