
    =Ogl(                     ,   	 d dl mZmZ g dZ G d de          Z G d de          Ze                    e            G d d	e          Ze                    e	            G d
 de          Z
 G d de
          Ze                    e           dS )    )ABCMetaabstractmethod)NumberComplexRealRationalIntegralc                       e Zd Z	 dZdZdS )r    N)__name__
__module____qualname__	__slots____hash__r        /usr/lib64/python3.11/numbers.pyr   r      s!        
 I HHHr   r   )	metaclassc                      e Zd Z	 dZed             Zd Zeed                         Zeed                         Z	ed             Z
ed             Zed             Zed	             Zd
 Zd Zed             Zed             Zed             Zed             Zed             Zed             Zed             Zed             Zed             ZdS )r   r   c                     d S Nr   selfs    r   __complex__zComplex.__complex__-   s    JJr   c                     	 | dk    S Nr   r   r   s    r   __bool__zComplex.__bool__1   s    7qyr   c                     	 t           r   NotImplementedErrorr   s    r   realzComplex.real5       	 "!r   c                     	 t           r   r   r   s    r   imagzComplex.imag>   r!   r   c                     	 t           r   r   r   others     r   __add__zComplex.__add__G       !!r   c                     	 t           r   r   r%   s     r   __radd__zComplex.__radd__L   r(   r   c                     	 t           r   r   r   s    r   __neg__zComplex.__neg__Q       !!r   c                     	 t           r   r   r   s    r   __pos__zComplex.__pos__V   r-   r   c                     	 | | z   S r   r   r%   s     r   __sub__zComplex.__sub__[   s    uf}r   c                     	 |  |z   S r   r   r%   s     r   __rsub__zComplex.__rsub___   s    uu}r   c                     	 t           r   r   r%   s     r   __mul__zComplex.__mul__c   r(   r   c                     	 t           r   r   r%   s     r   __rmul__zComplex.__rmul__h   r(   r   c                     	 t           r   r   r%   s     r   __truediv__zComplex.__truediv__m   s    C!!r   c                     	 t           r   r   r%   s     r   __rtruediv__zComplex.__rtruediv__r   r(   r   c                     	 t           r   r   )r   exponents     r   __pow__zComplex.__pow__w   s    P!!r   c                     	 t           r   r   )r   bases     r   __rpow__zComplex.__rpow__|   r(   r   c                     	 t           r   r   r   s    r   __abs__zComplex.__abs__   s    E!!r   c                     	 t           r   r   r   s    r   	conjugatezComplex.conjugate       2!!r   c                     	 t           r   r   r%   s     r   __eq__zComplex.__eq__       !!r   N)r   r   r   r   r   r   r   propertyr    r#   r'   r*   r,   r/   r1   r3   r5   r7   r9   r;   r>   rA   rC   rE   rH   r   r   r   r   r       s        IK K ^K   " " ^ X" " " ^ X" " " ^" " " ^" " " ^" " " ^"     " " ^" " " ^" " " ^" " " ^" " " ^" " " ^" " " ^" " " ^" " " ^" " "r   r   c                   L   e Zd Z	 dZed             Zed             Zed             Zed             Zedd            Z	d Z
d	 Zed
             Zed             Zed             Zed             Zed             Zed             Zd Zed             Zed             Zd ZdS )r   r   c                     	 t           r   r   r   s    r   	__float__zReal.__float__   s    	# "!r   c                     	 t           r   r   r   s    r   	__trunc__zReal.__trunc__   s    	 "!r   c                     	 t           r   r   r   s    r   	__floor__zReal.__floor__   rF   r   c                     	 t           r   r   r   s    r   __ceil__zReal.__ceil__   s    /!!r   Nc                     	 t           r   r   )r   ndigitss     r   	__round__zReal.__round__   s    	
 "!r   c                     	 | |z  | |z  fS r   r   r%   s     r   
__divmod__zReal.__divmod__   s    	
 te|,,r   c                     	 || z  || z  fS r   r   r%   s     r   __rdivmod__zReal.__rdivmod__   s    	
 ut|,,r   c                     	 t           r   r   r%   s     r   __floordiv__zReal.__floordiv__       7!!r   c                     	 t           r   r   r%   s     r   __rfloordiv__zReal.__rfloordiv__   r]   r   c                     	 t           r   r   r%   s     r   __mod__zReal.__mod__   r(   r   c                     	 t           r   r   r%   s     r   __rmod__zReal.__rmod__   r(   r   c                     	 t           r   r   r%   s     r   __lt__zReal.__lt__   s    	H "!r   c                     	 t           r   r   r%   s     r   __le__zReal.__le__   rI   r   c                 <    	 t          t          |                     S r   )complexfloatr   s    r   r   zReal.__complex__   s    6uT{{###r   c                 
    	 | 
 S r   r   r   s    r   r    z	Real.real   s    4ur   c                     	 dS r   r   r   s    r   r#   z	Real.imag   s
    7qr   c                 
    	 | 
 S r   r   r   s    r   rE   zReal.conjugate  s    -ur   r   )r   r   r   r   r   rM   rO   rQ   rS   rV   rX   rZ   r\   r_   ra   rc   re   rg   r   rJ   r    r#   rE   r   r   r   r   r      s        I" " ^" 
" 
" ^
" " " ^" " " ^" " " " ^"- - -- - - " " ^" " " ^" " " ^" " " ^" " " ^" " " ^"
$ $ $   X   X    r   r   c                   f    e Zd Z	 dZeed                         Zeed                         Zd ZdS )r   r   c                     t           r   r   r   s    r   	numeratorzRational.numerator  
     "!r   c                     t           r   r   r   s    r   denominatorzRational.denominator  rq   r   c                 V    	 t          | j                  t          | j                  z  S r   )intrp   rs   r   s    r   rM   zRational.__float__  s)    	 4>""S)9%:%:::r   N)	r   r   r   r   rJ   r   rp   rs   rM   r   r   r   r   r     ss        @I" " ^ X" " " ^ X"; ; ; ; ;r   r   c                   l   e Zd Z	 dZed             Zd Zedd            Zed             Zed             Z	ed             Z
ed	             Zed
             Zed             Zed             Zed             Zed             Zed             Zed             Zd Zed             Zed             ZdS )r	   r   c                     	 t           r   r   r   s    r   __int__zIntegral.__int__/  s    !!r   c                 "    	 t          |           S r   )ru   r   s    r   	__index__zIntegral.__index__4  s    D4yyr   Nc                     	 t           r   r   )r   r=   moduluss      r   r>   zIntegral.__pow__8  s    	 "!r   c                     	 t           r   r   r%   s     r   
__lshift__zIntegral.__lshift__C  rI   r   c                     	 t           r   r   r%   s     r   __rlshift__zIntegral.__rlshift__H  rI   r   c                     	 t           r   r   r%   s     r   
__rshift__zIntegral.__rshift__M  rI   r   c                     	 t           r   r   r%   s     r   __rrshift__zIntegral.__rrshift__R  rI   r   c                     	 t           r   r   r%   s     r   __and__zIntegral.__and__W  r(   r   c                     	 t           r   r   r%   s     r   __rand__zIntegral.__rand__\  r(   r   c                     	 t           r   r   r%   s     r   __xor__zIntegral.__xor__a  r(   r   c                     	 t           r   r   r%   s     r   __rxor__zIntegral.__rxor__f  r(   r   c                     	 t           r   r   r%   s     r   __or__zIntegral.__or__k  r(   r   c                     	 t           r   r   r%   s     r   __ror__zIntegral.__ror__p  r(   r   c                     	 t           r   r   r   s    r   
__invert__zIntegral.__invert__u  r-   r   c                 <    	 t          t          |                     S r   )rj   ru   r   s    r   rM   zIntegral.__float__{  s    -SYYr   c                 
    	 | 
 S r   r   r   s    r   rp   zIntegral.numerator  s    0ur   c                     	 dS )N   r   r   s    r   rs   zIntegral.denominator  s
    /qr   r   )r   r   r   r   r   rx   rz   r>   r~   r   r   r   r   r   r   r   r   r   r   rM   rJ   rp   rs   r   r   r   r	   r	   &  s        I" " ^"   " " " ^" " " ^" " " ^" " " ^" " " ^" " " ^" " " ^" " " ^" " " ^" " " ^" " " ^" " " ^"
        X   X  r   r	   N)abcr   r   __all__r   r   registerri   r   rj   r   r	   ru   r   r   r   <module>r      sh  @ ( ' ' ' ' ' ' '
?
?
?	 	 	 	 	w 	 	 	 	(n" n" n" n" n"f n" n" n"`      s s s s s7 s s sj e   ; ; ; ; ;t ; ; ;6a a a a ax a a aF 	  #     r   