o
    EOfi8                     @   sR  d dl Z d dlZd dlZd dlmZ d dlZd dlmZ d dl	Z	d dl
mZ zd dlZW n	 ey5   Y nw G dd dZG dd dZG d	d
 d
ZG dd dZdd ZG dd dZdd Zdd Zdd Zdd Zdd Zzd dlZdeev ZW n ey   dZY nw G dd deZdejd fd!d"Zd#d$ Z d%d& Z!d*d(d)Z"dS )+    N)zip_longest)assert_)assert_func_equalc                   @   s8   e Zd ZdZej ejddfddZdd Zdd Zd	S )
ArgzGenerate a set of numbers on the real axis, concentrating on
    'interesting' regions and covering all orders of magnitude.

    Tc                 C   sf   ||krt d|tj krdttj }|tjkr#dttj }||| _| _||| _| _	d S )Nz#a should be less than or equal to bg            ?)

ValueErrornpinfZfinfofloatmaxabinclusive_ainclusive_b)selfr   r   r   r    r   :lib/python3.10/site-packages/scipy/special/_mptestutils.py__init__   s   
zArg.__init__c                 C   s  |dk rt d|d dkr|d }|}n|d }|d }|dkr/tt|t||}n|dkr?|dk r?t|||}n|dkr^tj|d|dd}tdt||}t||f}nw|dkr|dkrtd||}|jdkrzt|d }	nd}	tjd|	|dd}t||f}nH|d dkr|d }
|
}n|d }
|
d }tjdd|dd}|jdkrt|d }	nd}	tjd|	|
dd}tdt||}t|||f}t|S )	Nr   za should be positive      
   F)Zendpointi)r   r   Zlogspacelog10Zlinspacehstacksizesort)r   r   r   nZnlogptsZnlinptsptsZlinptsZlogptsrightZnlogpts1Znlogpts2Zlogpts1Zlogpts2r   r   r   _positive_values'   sF   


zArg._positive_valuesc           	      C   s  | j | j}}||krt|S | js|d7 }| js|d7 }|d dkr+|d }|}n|d }|d }|dkrA| |||}g }n)|dkrRg }| | | | }n| d||}| d| |d  }|dd }t|ddd |f}| js|dd }| js|dd }|S )z%Return an array containing n numbers.r   r   r   N)r   r   r   Zzerosr   r   r   r   )	r   r   r   r   Zn1Zn2ZposptsZnegptsr   r   r   r   values_   s6   
z
Arg.valuesN)	__name__
__module____qualname____doc__r   r	   r   r   r    r   r   r   r   r      s
    8r   c                   @   s   e Zd Zdd Zdd ZdS )FixedArgc                 C   s   t || _d S N)r   asarray_values)r   r    r   r   r   r      s   zFixedArg.__init__c                 C   s   | j S r&   )r(   )r   r   r   r   r   r          zFixedArg.valuesNr!   r"   r#   r   r    r   r   r   r   r%      s    r%   c                   @   s:   e Zd Zeej ej eejejfddZdd ZdS )
ComplexArgc                 C   s$   t |j|j| _t |j|j| _d S r&   )r   realimagr   r   r   r   r   r   r      s   zComplexArg.__init__c                 C   sX   t tt|}| j|}| j|d }|d d d f d|d d d f    S )Nr   y              ?)intr   ZfloorZsqrtr,   r    r-   Zravel)r   r   mxyr   r   r   r       s   (zComplexArg.valuesN)r!   r"   r#   complexr   r	   r   r    r   r   r   r   r+      s    &r+   c                   @   s   e Zd ZdddZdd ZdS )	IntArg  c                 C   s   || _ || _d S r&   )r   r   r.   r   r   r   r      s   
zIntArg.__init__c                 C   sh   t | j| jtd|d  |d t}tdd}t	tj
||f }||| jk|| jk @  }|S )Nr   r      )r   r   r   r    r   astyper/   r   ZarangeuniqueZr_)r   r   Zv1Zv2vr   r   r   r       s
   ,zIntArg.valuesN)r5   r6   r*   r   r   r   r   r4      s    
r4   c                 C   s   t | tjr|  }|S t| }tdd | D }||t|  td }dd t	| |D }t
tjtj|  |dj}|S )Nc                 S   s   g | ]}t |trd ndqS )g      ?g      ?
isinstancer+   ).0specr   r   r   
<listcomp>   s    zget_args.<locals>.<listcomp>r   c                 S   s   g | ]	\}}| |qS r   )r    )r>   r?   r0   r   r   r   r@      s    r   )r=   r   ndarraycopylenr'   sumr9   r/   zipZarrayZbroadcast_arraysZix_ZreshapeT)Zargspecr   argsnargsmsr   r   r   get_args   s    rJ   c                   @   s.   e Zd Z				dddZdd	 Zd
d ZdS )
MpmathDataNHz>YnFTc                 C   s  |d u r!zt tjdd}W n ty   d}Y nw |rdnd}|| _|| _|| _|| _|| _	|| _
|| _|	| _|
| _|| _t| jtjrQt| jjtj| _ntdd | jD | _|
| _|| _|rh|dkrnt|d	d }|rt|dkrzt|d	d }|| _|| _d S )
NZSCIPY_XSLOW0Fi  i  c                 S   s   g | ]}t |tqS r   r<   )r>   argr   r   r   r@      s    z'MpmathData.__init__.<locals>.<listcomp>z<lambda>r!   )r/   osenvirongetr   
scipy_funcmpmath_funcarg_specdpsprecr   rtolatolignore_inf_signnan_okr=   r   rA   
issubdtypedtypecomplexfloating
is_complexanydistinguish_nan_and_infgetattrnameparam_filter)r   rS   rT   rU   rc   rV   rW   r   rX   rY   rZ   ra   r[   rd   Zis_xslowr   r   r   r      s<   
zMpmathData.__init__c           
         sl  t jd tjj}tjjtjj	}}zjd ur!jg}ndg}j	d ur.j	tj_	t 
|jt jr=tdd  ndd  dd t|D ]J\}}|tj_ztj fdd	|d
jjjjjjd
 W  n0 ty   |t|d krt \}}}	|j|	ur||	|Y qIw W ||tj_tj_	d S W ||tj_tj_	d S ||tj_tj_	w )Ni     c                 S      t t| S r&   )mpmathmpcr3   r1   r   r   r   mptype      z MpmathData.check.<locals>.mptypec                 S   rf   r&   )rg   Zmpfr
   ri   r   r   r   rj      rk   c                 S   s,   t | jddt | j  krtjS t| jS )NgؗҜ<r   )absr-   r,   r   nan	mpf2floatri   r   r   r   pytype   s   
z MpmathData.check.<locals>.pytypec                     s   j t |  S r&   )rT   map)r   rj   ro   r   r   r   <lambda>	  s    z"MpmathData.check.<locals>.<lambda>F)Z
vectorizedrX   rY   rZ   ra   r[   rd   r   )r   ZrandomZseedrJ   rU   r   rg   ZmprV   rW   r\   r]   r^   mpc2complex	enumerater   rS   rX   rY   rZ   ra   r[   rd   AssertionErrorrC   sysexc_info__traceback__with_traceback)
r   ZargarrZold_dpsZold_precZdps_listjrV   tpvaluetbr   rq   r   check   sT   






*	zMpmathData.checkc                 C   s"   | j r
d| j dS d| j dS )Nz<MpmathData: z (complex)>>)r_   rc   )r   r   r   r   __repr__  s   zMpmathData.__repr__)
NNNNrL   rM   FTTN)r!   r"   r#   r   r~   r   r   r   r   r   rK      s    
)>rK   c                  O   s   t | i |}|  d S r&   )rK   r~   )r   kwdr   r   r   assert_mpmath_equal%  s   r   c                 C   s   t jjdd| S )Nz8    Test not yet functional (too slow), needs more work.)reason)pytestZmarkskipfuncr   r   r   nonfunctional_tooslow*  s
   r   c                 C   s   t tj| ddddS )z
    Convert an mpf to the nearest floating point number. Just using
    float directly doesn't work because of results like this:

    with mp.workdps(50):
        float(mpf("0.99999999999999999")) = 0.9999999999999999

       r   Z	min_fixedZ	max_fixed)r
   rg   nstrri   r   r   r   rn   4  s   	rn   c                 C   s   t t| jt| jS r&   )r3   rn   r,   r-   ri   r   r   r   rs   @  s   rs   c                    s   dd  fdd}|S )Nc                 S   s   t | tjr
t| S t| S r&   )r=   rg   rh   r3   r
   ri   r   r   r   tofloatE  s   ztrace_args.<locals>.tofloatc               	      sz   t jtt| d t j  z | i |}t jd|  W t jd t j  |S t jd t j  w )N: z-> %r
)rv   stderrwritetuplerp   flush)r   r   rr   r   r   r   wrapK  s   

ztrace_args.<locals>.wrapr   r   r   r   r   r   
trace_argsD  s   
r   	setitimerFc                   @   s   e Zd ZdS )TimeoutErrorN)r!   r"   r#   r   r   r   r   r   _  s    r   r   Tc                    s6   t r|rdd  fdd}|S  fdd}|S )a  
    Decorator for setting a timeout for pure-Python functions.

    If the function does not return within `timeout` seconds, the
    value `return_val` is returned instead.

    On POSIX this uses SIGALRM by default. On non-POSIX, settrace is
    used. Do not use this with threads: the SIGALRM implementation
    does probably not work well. The settrace implementation only
    traces the current thread.

    The settrace implementation slows down execution speed. Slowdown
    by a factor around 10 is probably typical.
    c                 S   s   t  r&   )r   )Zsignumframer   r   r   sigalrm_handlers  r)   z%time_limited.<locals>.sigalrm_handlerc                    s    fdd}|S )Nc               
      s   t  t j}t t j z2z | i |W W t t jd t  t j| S  ty@    Y W t t jd t  t j| S w t t jd t  t j| w )Nr   )signalSIGALRMr   ITIMER_REALr   )r   r   Zold_handler)r   
return_valr   timeoutr   r   r   w  s   (time_limited.<locals>.deco.<locals>.wrapr   r   r   r   r   r   r   decov  s   
ztime_limited.<locals>.decoc                    s    fdd}|S )Nc               	      sz   t     fddt z%z| i |W W td  S  ty6   td   Y W td  S w td  w )Nc                    s   t     krt S r&   )timer   )r   ZeventrO   )
start_timer   tracer   r   r     s   z7time_limited.<locals>.deco.<locals>.wrap.<locals>.trace)r   rv   settracer   r   r   )r   r   r   )r   r   r   r     s   

r   r   r   )r   r   r   r   r     s   )POSIX)r   r   Zuse_sigalrmr   r   r   r   time_limitedc  s   r   c                        fdd}|S )z9Decorate function to return nan if it raises an exceptionc                     s*   z | i |W S  t y   tj Y S w r&   )	Exceptionr   rm   r   r   r   r   r     s
   
zexception_to_nan.<locals>.wrapr   r   r   r   r   exception_to_nan     r   c                    r   )z1Decorate function to return nan if it returns infc                     s"    | i |}t |st jS |S r&   )r   Zisfiniterm   )r   r   r;   r   r   r   r     s   
zinf_to_nan.<locals>.wrapr   r   r   r   r   
inf_to_nan  r   r   FFg<c                 C   sF  g }t t| |D ]*\}\}}|du s|du rtdt|| ||t|  kr3||||f q	t|}|dkrttt	
|}	dg}
|
d| d|d  d |D ]>\}}}tj||	ddd	}tj||	ddd	}|dkrvd
}nt|| | }t|d}|
| d| d| d| d qXtdd|
 dS dS )z|
    Compare lists of mpmath.mpf's or mpmath.mpc's directly so that it
    can be done to higher precision than double.
    Nz,Lengths of inputs res and std are not equal.r    zBad results (z out of r   z) for the following points:r   r	      r   z != z (rdiff )Fr   )rt   r   r   rg   ZfabsappendrC   r/   rl   r   r   r   r   join)resZstdrY   rX   ZfailureskZresvalZstdvalZnfailZndigitsmsgZresrepZstdrepZrdiffr   r   r   mp_assert_allclose  s,    $r   )r   r   )#rP   rv   r   	itertoolsr   Znumpyr   Znumpy.testingr   r   Zscipy.special._testutilsr   rg   ImportErrorr   r%   r+   r4   rJ   rK   r   r   rn   rs   r   r   dirr   r   r   rm   r   r   r   r   r   r   r   r   <module>   sF    oo
4

