o
    `^hi8                     @   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inffinfofloatmaxabinclusive_ainclusive_b)selfr   r   r   r    r   X/home/air/shanriGPT/back/venv/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)endpointi)r   r   logspacelog10linspacehstacksizesort)r   r   r   nnlogptsnlinptsptslinptslogptsrightnlogpts1nlogpts2logpts1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   zerosr   r   r*   r   )	r   r   r   r   n1n2posptsnegptsr"   r   r   r   values_   s6   
z
Arg.valuesN)	__name__
__module____qualname____doc__r   r	   r   r*   r1   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   r1   r   r   r   r      s   zFixedArg.__init__c                 C   s   | j S r7   )r9   )r   r   r   r   r   r1         zFixedArg.valuesNr2   r3   r4   r   r1   r   r   r   r   r6      s    r6   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 r7   )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   floorsqrtr=   r1   r>   ravel)r   r   mxyr   r   r   r1      s   (zComplexArg.valuesN)r2   r3   r4   complexr   r	   r   r1   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 r7   )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   r1   r   astyper@   r   arangeuniquer_)r   r   v1v2vr   r   r   r1      s
   ,zIntArg.valuesN)rI   rJ   r;   r   r   r   r   rH      s    
rH   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   )r1   )rV   rW   rD   r   r   r   rX      s    r+   )rU   r   ndarraycopylenr8   sumrM   r@   ziparraybroadcast_arraysix_reshapeT)argspecr   argsnargsmsr   r   r   get_args   s    rg   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 )
NSCIPY_XSLOW0Fi  i  c                 S   s   g | ]}t |tqS r   rT   )rV   argr   r   r   rX      s    z'MpmathData.__init__.<locals>.<listcomp>z<lambda>r2   )r@   osenvirongetr   
scipy_funcmpmath_funcarg_specdpsprecr   rtolatolignore_inf_signnan_okrU   r   rY   
issubdtypedtypecomplexfloating
is_complexanydistinguish_nan_and_infgetattrnameparam_filter)r   rq   rr   rs   r   rt   ru   r   rv   rw   rx   r   ry   r   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 r7   )mpmathmpcrG   rE   r   r   r   mptype      z MpmathData.check.<locals>.mptypec                 S   r   r7   )r   mpfr   r   r   r   r   r      r   c                 S   s,   t | jddt | j  krtjS t| jS )NgؗҜ<r   )absr>   r=   r   nan	mpf2floatr   r   r   r   pytype   s   
z MpmathData.check.<locals>.pytypec                     s   j t |  S r7   )rr   map)r   r   r   r   r   r   <lambda>	  s    z"MpmathData.check.<locals>.<lambda>F)
vectorizedrv   rw   rx   r   ry   r   r   )r   randomseedrg   rs   r   r   mprt   ru   rz   r{   r|   mpc2complex	enumerater   rq   rv   rw   rx   r   ry   r   AssertionErrorr[   sysexc_info__traceback__with_traceback)
r   argarrold_dpsold_precdps_listjrt   tpvaluetbr   r   r   check   sT   






*	zMpmathData.checkc                 C   s"   | j r
d| j dS d| j dS )Nz<MpmathData: z (complex)>>)r}   r   )r   r   r   r   __repr__  s   zMpmathData.__repr__)
NNNNri   rj   FTTN)r2   r3   r4   r   r   r   r   r   r   r   rh      s    
)>rh   c                  O   s   t | i |}|  d S r7   )rh   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)pytest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   	min_fixed	max_fixed)r   r   nstrr   r   r   r   r   4  s   	r   c                 C   s   t t| jt| jS r7   )rG   r   r=   r>   r   r   r   r   r   @  s   r   c                    s   dd  fdd}|S )Nc                 S   s   t | tjr
t| S t| S r7   )rU   r   r   rG   r   r   r   r   r   tofloatE  s   ztrace_args.<locals>.tofloatc               	      s|   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   stderrwritetupler   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)r2   r3   r4   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  r7   )r   )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   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 r7   )timer   )r   eventrm   )
start_timer   tracer   r   r     s   z7time_limited.<locals>.deco.<locals>.wrap.<locals>.trace)r   r   settracer   r   r   )r   r   r   )r   r   r   r     s   

r   r   r   )r   r   r   r   r     s   )POSIX)r   r   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 r7   )	Exceptionr   r   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 r7   )r   isfiniter   )r   r   rS   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   )r   r   r   r   fabsappendr[   r@   r   r   r   r   r   join)resstdrw   rv   failureskresvalstdvalnfailndigitsmsgresrepstdreprdiffr   r   r   mp_assert_allclose  s,    $r   )r   r   )#rn   r   r   	itertoolsr   numpyr   numpy.testingr   r   scipy.special._testutilsr   r   ImportErrorr   r6   r<   rH   rg   rh   r   r   r   r   r   r   dirr   r   r   r   r   r   r   r   r   r   r   r   <module>   sF    oo
4

