B
    0dM8                 @   sT  d dl Z 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	 yd dl
Z
W n ek
r`   Y nX 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y d dlZd dlZdeekZW n ek
r   dZY nX 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)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rFdttj }|| | _| _|| | _| _	d S )Nz#a should be less than or equal to bg      g      ?)

ValueErrornpinfZfinfofloatmaxabinclusive_ainclusive_b)selfr
   r   r   r    r   L/var/www/html/venv/lib/python3.7/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||}nV|dkr|dk rt|||}n4|dkrtj|d|dd}tdt||}t||f}n|dkr"|dkr"td||}|jdkrt|d }	nd}	tjd|	|dd}t||f}n|d dkr>|d }
|
}n|d }
|
d }tjdd|dd}|jdkr|t|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rV|d }|}n|d }|d }|dkr| |||}g }nR|dkrg }| | | | }n0| 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 )N)r%   )r   r   r   r   r   r      s    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$   t |j|j| _t |j|j| _d S )N)r   realimag)r   r
   r   r   r   r   r      s    zComplexArg.__init__c             C   sX   t tt|}| j|}| j|d }|d d d f d|d d d f    S )Nr   y              ?)intr   floorsqrtr'   r   r(   Zravel)r   r   mxyr   r   r   r      s    zComplexArg.valuesN)r   r    r!   complexr   r   r   r   r   r   r   r   r&      s   &r&   c               @   s   e Zd ZdddZdd ZdS )	IntArg  c             C   s   || _ || _d S )N)r
   r   )r   r
   r   r   r   r   r      s    zIntArg.__init__c             C   sh   t | j| jtd|d  |d t}tdd}t	tj
||f }||| jk|| jk @  }|S )Nr   r      )r   r
   r   r   r	   astyper)   r   ZarangeuniqueZr_)r   r   Zv1Zv2vr   r   r   r      s
    ,zIntArg.valuesN)r1   r2   )r   r    r!   r   r   r   r   r   r   r0      s   
r0   c             C   s   t | tjr|  }njt| }tdd | D }||t|  td }dd t	| |D }t
tjtj|  |dj}|S )Nc             S   s   g | ]}t |trd ndqS )g      ?g      ?)
isinstancer&   ).0specr   r   r   
<listcomp>   s    zget_args.<locals>.<listcomp>r   c             S   s   g | ]\}}| |qS r   )r   )r9   r:   r,   r   r   r   r;      s    r   )r8   r   ndarraycopylenr$   sumr5   r)   ziparrayZbroadcast_arraysZix_ZreshapeT)Zargspecr   argsnargsmsr   r   r   get_args   s    
 rF   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 krDyt tjdd}W n tk
r6   d}Y nX |r@dnd}|| _|| _|| _|| _|| _	|| _
|| _|	| _|
| _|| _t| jtjrt| jjtj| _ntdd | jD | _|
| _|| _|r|dkrt|d	d }|r|dkrt|d	d }|| _|| _d S )
NZSCIPY_XSLOW0Fi  i  c             S   s   g | ]}t |tqS r   )r8   r&   )r9   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_okr8   r   r<   
issubdtypedtypecomplexfloating
is_complexanydistinguish_nan_and_infgetattrnameparam_filter)r   rO   rP   rQ   r_   rR   rS   r   rT   rU   rV   r]   rW   r`   Zis_xslowr   r   r   r      s6    
zMpmathData.__init__c       
         sT  t jd tjj}tjjtjj	 }}zjd k	rDjg}ndg}j	d k	r^j	tj_	t 
|jt jr|tdd  ndd  dd xt|D ]\}}|tj_y<tj fdd	|d
jjjjjjd
 P W q tk
r2   |t|d kr.t \}}}	|j|	k	r*||	|Y qX qW W d || tj_tj_	X d S )Ni     c             S   s   t t| S )N)mpmathmpcr/   )r-   r   r   r   mptype   s    z MpmathData.check.<locals>.mptypec             S   s   t t| S )N)rb   Zmpfr   )r-   r   r   r   rd      s    c             S   s0   t | jddt | j  kr"tjS t| jS d S )NgؗҜ<r   )absr(   r'   r   nan	mpf2float)r-   r   r   r   pytype   s    z MpmathData.check.<locals>.pytypec                 s   j t |  S )N)rP   map)r
   )rd   rh   r   r   r   <lambda>      z"MpmathData.check.<locals>.<lambda>F)Z
vectorizedrT   rU   rV   r]   rW   r`   r   )r   randomseedrF   rQ   r   rb   mprR   rS   rX   rY   rZ   mpc2complex	enumerater   rO   rT   rU   rV   r]   rW   r`   AssertionErrorr>   sysexc_info__traceback__with_traceback)
r   ZargarrZold_dpsZold_precZdps_listjrR   tpvaluetbr   )rd   rh   r   r   check   sD    






zMpmathData.checkc             C   s"   | j rd| jf S d| jf S d S )Nz<MpmathData: %s (complex)>z<MpmathData: %s>)r[   r_   )r   r   r   r   __repr__  s    zMpmathData.__repr__)
NNNNrH   rI   FTTN)r   r    r!   r   rz   r{   r   r   r   r   rG      s      
$;rG   c              O   s   t | |}|  d S )N)rG   rz   )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   rb   nstr)r-   r   r   r   rg   *  s    	rg   c             C   s   t t| jt| jS )N)r/   rg   r'   r(   )r-   r   r   r   ro   6  s    ro   c                s   dd  fdd}|S )Nc             S   s    t | tjrt| S t| S d S )N)r8   rb   rc   r/   r   )r-   r   r   r   tofloat;  s    ztrace_args.<locals>.tofloatc           	      sb   t jdtt| f  t j  z | |}t jd|  W d t jd t j  X |S )Nz%r: z-> %r
)rr   stderrwritetupleri   flush)r
   r|   r)r   r   r   r   wrapA  s    

ztrace_args.<locals>.wrapr   )r   r   r   )r   r   r   
trace_args:  s    
r   	setitimerFc               @   s   e Zd ZdS )TimeoutErrorN)r   r    r!   r   r   r   r   r   V  s   r   g      ?Tc                s4   t r"|r"dd  fdd}n 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  d S )N)r   )signumframer   r   r   sigalrm_handlerj  s    z%time_limited.<locals>.sigalrm_handlerc                s    fdd}|S )Nc           
      sd   t  t j}t t j z$y
 | |S  tk
r<   S X W d t t jd t  t j| X d S )Nr   )signalSIGALRMr   ITIMER_REALr   )r
   r|   Zold_handler)r   
return_valr   timeoutr   r   r   n  s    

z(time_limited.<locals>.deco.<locals>.wrapr   )r   r   )r   r   r   )r   r   decom  s    
ztime_limited.<locals>.decoc                s    fdd}|S )Nc           	      sb   t     fddt z.y
| |S  tk
rL   td  S X W d td  X d S )Nc                s   t     krt S )N)timer   )r   eventrK   )
start_timer   tracer   r   r   ~  s    z7time_limited.<locals>.deco.<locals>.wrap.<locals>.trace)r   rr   settracer   )r
   r|   )r   r   r   )r   r   r   r   {  s    



z(time_limited.<locals>.deco.<locals>.wrapr   )r   r   )r   r   )r   r   r   z  s    )POSIX)r   r   Zuse_sigalrmr   r   )r   r   r   r   time_limitedZ  s
    r   c                s    fdd}|S )z9Decorate function to return nan if it raises an exceptionc                 s&   y
 | |S  t k
r    tjS X d S )N)	Exceptionr   rf   )r
   r|   )r   r   r   r     s    
zexception_to_nan.<locals>.wrapr   )r   r   r   )r   r   exception_to_nan  s    r   c                s    fdd}|S )z1Decorate function to return nan if it returns infc                 s    | |}t |st jS |S )N)r   isfiniterf   )r
   r|   r7   )r   r   r   r     s    

zinf_to_nan.<locals>.wrapr   )r   r   r   )r   r   
inf_to_nan  s    r   FFg<c          	   C   s  yt |  W n tk
r(   t| } Y nX t |}t | |krFtdg }xdt|D ]X}y4tt| | ||  ||t||   k W qT tk
r   || Y qTX qTW t	t
t|}dg}|dt || x|D ]}tj| | |ddd}	tj|| |ddd}
|| dkr(d}n*t| | ||  ||  }t|d}|d||	|
| qW |rtd	d
| 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.

    zLengths of inputs not equal. z4Bad results ({} out of {}) for the following points:r   )r   r   r      z{}: {} != {} (rdiff {})Fr   N)r>   	TypeErrorlistrq   ranger   rb   fabsappendr)   re   r   r   formatr   join)resZstdrU   rT   r   ZfailureskndigitsmsgZresrepZstdrepZrdiffr   r   r   mp_assert_allclose  s6    4
r   )r   r   )"rL   rr   r   numpyr   Znumpy.testingr   r   Zscipy.special._testutilsr   rb   ImportErrorr   r#   r&   r0   rF   rG   r~   r   rg   ro   r   posixr   dirr   r   r   rf   r   r   r   r   r   r   r   r   <module>   s@   oj
4

