o
    jg                     @   s   d Z ddlmZ ddlmZ ddlmZ ddlmZm	Z	m
Z
mZ ddlmZmZmZmZmZmZmZmZmZmZmZmZmZmZ eG dd de	eZeG d	d
 d
e
eZejZeG dd deZ dS )zReal and complex elements.     )MPQ)DomainElement)public)PythonMPContext_mpf_mpc	_constant)MPZ_ONEfzerofonefinffninffnanround_nearestmpf_mulrepr_dps	int_typesfrom_int
from_floatfrom_strto_rationalc                   @   2   e Zd ZdZdZdd Zedd eZdd Zd	S )
RealElementzAn element of a real domain. __mpf__c                 C   
   || _ d S Nr   selfval r    V/var/www/html/zoom/venv/lib/python3.10/site-packages/sympy/polys/domains/mpelements.py_set_mpf      
zRealElement._set_mpfc                 C      | j S r   r   r   r    r    r!   <lambda>       zRealElement.<lambda>c                 C      | j jS r   context_parentr%   r    r    r!   parent      zRealElement.parentN)	__name__
__module____qualname____doc__	__slots__r"   property_mpf_r,   r    r    r    r!   r          r   c                   @   r   )
ComplexElementz An element of a complex domain. __mpc__c                 C   r   r   r7   r   r    r    r!   _set_mpc"   r#   zComplexElement._set_mpcc                 C   r$   r   r7   r%   r    r    r!   r&   %   r'   zComplexElement.<lambda>c                 C   r(   r   r)   r%   r    r    r!   r,   '   r-   zComplexElement.parentN)	r.   r/   r0   r1   r2   r9   r3   _mpc_r,   r    r    r    r!   r6      r5   r6   c                   @   sb   e Zd ZdddZdd Zdd	 Zd
d Zdd Zedd Z	edd Z
dddZdddZdS )	MPContext5   NFc                 C   sX  |t g| _|d u r| | n| | t| _t| _| jt| jg| j_	| jt| jg| j_	|r3| | j_
n| | j_
t| _| jt| jg| j_	| | j_
| j| j| jg| _d| _d| _|d u r`|  | _n|du rht| _n| || _| | j| _| js|d| _ntd| j | _| t| _| t| _| ttf| _| t| _| t| _ | t!| _"d S )NTFi@B    )#r   _prec_rounding	_set_prec_set_dpsr   mpfr6   mpcnew_ctxdatar*   r   constanttypestrap_complexpretty	_make_toltolr
   _convert_tolmake_mpf	tolerance	max_denomintzeror   onemake_mpcjr   infr   ninfr   nan)ctxprecdpsrJ   realr    r    r!   __init__/   s@   


zMPContext.__init__c                 C   s    d}dt d| j df}t||S )N)r            r   r=   )r	   rX   r   )rW   hundredepsr    r    r!   rI   ^   s   
zMPContext._make_tolc                 C   s   |  |  S r   )rL   rI   rW   r    r    r!   make_tolc   s   zMPContext.make_tolc                 C   s`   t |tr	t|S t |trt|S t|dr|jS | j\}}t |tr*t	|||S t
d| )Nr4   zexpected a real number, got %s)
isinstancer   r   floatr   hasattrr4   r>   strr   
ValueError)rW   rJ   rX   roundingr    r    r!   rK   f   s   




zMPContext._convert_tolc                 C   s   t dt| )Nzcannot create mpf from )	TypeErrorrepr)rW   xstringsr    r    r!   _convert_fallbackr   s   zMPContext._convert_fallbackc                 C   s
   t | jS r   )r   _precra   r    r    r!   _repr_digitsu   s   
zMPContext._repr_digitsc                 C   r$   r   )_dpsra   r    r    r!   _str_digitsy   s   zMPContext._str_digitsTc                 C   s  t |j\}}t|}|r|| jkr||fS d\}}}}||}	}
	 |	|
 }|||  }|| jkr2n|||||  |f\}}}}|
|	||
  }	}
q"| j| | }t||}t|||  |||  }t||}|rl|sp||fS t|| t|| kr|j|jfS |j|jfS )N)r   r=   r=   r   )r   r4   rO   rN   r   abs	numeratordenominator)rW   slimitpqp0q0p1q1ndaq2knumberbound1bound2r    r    r!   r   }   s.   



zMPContext.to_rationalc           	      C   s   |  |}|d u r|d u r| jp|   }}|d u r |  |}n	|d u r)|  |}t|| }||kr5dS t|}t|}||k rI|| }||kS || }||kS )NT)convertrM   rb   rr   )	rW   ru   trel_epsabs_epsdiffabssabsterrr    r    r!   almosteq   s"   

zMPContext.almosteq)r<   NNF)T)NN)r.   r/   r0   r[   rI   rb   rK   rm   r3   ro   rq   r   r   r    r    r    r!   r;   ,   s    
/


#r;   N)!r1   sympy.external.gmpyr   !sympy.polys.domains.domainelementr   sympy.utilitiesr   mpmath.ctx_mp_pythonr   r   r   r   mpmath.libmpr	   r
   r   r   r   r   r   r   r   r   r   r   r   r   r   r6   object__new__rC   r;   r    r    r    r!   <module>   s    @