Hacked By AnonymousFox

Current Path : /usr/lib64/python3.6/__pycache__/
Upload File :
Current File : //usr/lib64/python3.6/__pycache__/_pydecimal.cpython-36.opt-2.pyc

3


 \T��$@sFdddddddddd	d
ddd
ddddddddddddddddddd d!d"d#g$ZeZd$Zd%Zd&Zd'd(lZd'd(lZd'd(l	Z	yd'd)l
mZedd*�Z
Wnek
r�d+d,�Z
YnXdZdZdZdZdZdZdZdZd-Ze	jd�kr�d1Zd1Zd�Znd2Zd2Zd�Zeed0ZGd3d�de�ZGd4d�de�ZGd5d�de�Z Gd6d�de �Z!Gd7d	�d	ee"�Z#Gd8d�de �Z$Gd9d�de e"�Z%Gd:d
�d
e�Z&Gd;d�de �Z'Gd<d�de�Z(Gd=d�de�Z)Gd>d
�d
e&e(�Z*Gd?d�de&e(e)�Z+Gd@d�dee,�Z-ee#e&e*e(e+e e)e-g	Z.e!e e$e e%e e'e iZ/eeeeeeeefZ0yd'd(l1Z1Wn.ek
�rdGdAdB�dBe2�Z3e3�Z1[3YnXy
e1j4Wn>e5k
�r�e6e1j7�dC��r�e1j7�`8dDd�Z9dEd�Z:Yn6Xe1j4�Z4e6e4dC��r�e4`8e4fdFd�Z:e4fdGd�Z9[1[4d�dHd�Z;GdId�de2�Z<d�dKdL�Z=ej>j?e<�GdMdN�dNe2�Z@GdOd�de2�ZAGdPdQ�dQe2�ZBd�dRdS�ZCeDjEZFdTdU�ZGdVdW�ZHdXdY�ZIdZd[�ZJd�d]d^�ZKd_d`�ZLdadb�ZMGdcdd�dde2�ZNeN�jOZPd�dedf�ZQdgdh�ZRdidj�ZSdkdldmdndodpdqdrdsdt�	fdudv�ZTd�dwdx�ZUd�dydz�ZVeAd{ee#e*e ggd|d�d0d'd}�ZWeAd~ee#e*e ee+ggd�ZXeAd~eggd�ZYd'd(lZZZeZj[d�eZj\eZj]B�j^Z_eZj[d��j^Z`eZj[d��j^ZaeZj[d�eZj\eZjbB�Zc[Zyd'd(ldZeWnek
�r�YnXd�d�d��Zfd�d��Zgd�d��Zhd�d�d��Zid�d��Zjd�d��Zke<d��Zle<d��Zme<d��Zne<d'�Zoe<d0�Zpe<d��ZqelemfZre	jsjtZue	jsjvZwe	jsjxZyezdreud.eu�Z{[	d(S)��Decimal�Context�DecimalTuple�DefaultContext�BasicContext�ExtendedContext�DecimalException�Clamped�InvalidOperation�DivisionByZero�Inexact�Rounded�	Subnormal�Overflow�	Underflow�FloatOperation�DivisionImpossible�InvalidContext�ConversionSyntax�DivisionUndefined�
ROUND_DOWN�
ROUND_HALF_UP�ROUND_HALF_EVEN�
ROUND_CEILING�ROUND_FLOOR�ROUND_UP�ROUND_HALF_DOWN�
ROUND_05UP�
setcontext�
getcontext�localcontext�MAX_PREC�MAX_EMAX�MIN_EMIN�	MIN_ETINY�HAVE_THREADSZdecimalz1.70z2.4.2�N)�
namedtuplezsign digits exponentcGs|S)N�)�argsr'r'�"/usr/lib64/python3.6/_pydecimal.py�<lambda>�sr*T��?�l��N�Zoi@�Tc@seZdZdd�ZdS)rcGsdS)Nr')�self�contextr(r'r'r)�handle�szDecimalException.handleN)�__name__�
__module__�__qualname__r0r'r'r'r)r�sc@seZdZdS)rN)r1r2r3r'r'r'r)r�s
c@seZdZdd�ZdS)r	cGs,|r(t|dj|djdd�}|j|�StS)Nr%�nT)�_dec_from_triple�_sign�_int�_fix_nan�_NaN)r.r/r(�ansr'r'r)r0�s
zInvalidOperation.handleN)r1r2r3r0r'r'r'r)r	�sc@seZdZdd�ZdS)rcGstS)N)r9)r.r/r(r'r'r)r0szConversionSyntax.handleN)r1r2r3r0r'r'r'r)r�sc@seZdZdd�ZdS)r
cGst|S)N)�_SignedInfinity)r.r/�signr(r'r'r)r0szDivisionByZero.handleN)r1r2r3r0r'r'r'r)r
s
c@seZdZdd�ZdS)rcGstS)N)r9)r.r/r(r'r'r)r0szDivisionImpossible.handleN)r1r2r3r0r'r'r'r)rsc@seZdZdd�ZdS)rcGstS)N)r9)r.r/r(r'r'r)r0)szDivisionUndefined.handleN)r1r2r3r0r'r'r'r)r!sc@seZdZdS)rN)r1r2r3r'r'r'r)r,s
c@seZdZdd�ZdS)rcGstS)N)r9)r.r/r(r'r'r)r0CszInvalidContext.handleN)r1r2r3r0r'r'r'r)r8sc@seZdZdS)rN)r1r2r3r'r'r'r)rFs
c@seZdZdS)r
N)r1r2r3r'r'r'r)r
Rs	c@seZdZdd�ZdS)rcGs�|jttttfkrt|S|dkrR|jtkr4t|St|d|j|j	|jd�S|dkr�|jt
krlt|St|d|j|j	|jd�SdS)Nr%�9r-)�roundingrrrrr;rr5�prec�Emaxr)r.r/r<r(r'r'r)r0ss


zOverflow.handleN)r1r2r3r0r'r'r'r)r]sc@seZdZdS)rN)r1r2r3r'r'r'r)r�s
c@seZdZdS)rN)r1r2r3r'r'r'r)r�s
c@seZdZefdd�ZdS)�
MockThreadingcCs
|jtS)N)�modules�	__xname__)r.�sysr'r'r)�local�szMockThreading.localN)r1r2r3rDrEr'r'r'r)rA�srA�__decimal_context__cCs,|tttfkr|j�}|j�|tj�_dS)N)rrr�copy�clear_flags�	threading�current_threadrF)r/r'r'r)r�scCs4y
tj�jStk
r.t�}|tj�_|SXdS)N)rIrJrF�AttributeErrorr)r/r'r'r)r�s

cCs,y|jStk
r&t�}||_|SXdS)N)rFrKr)�_localr/r'r'r)r�scCs(|tttfkr|j�}|j�||_dS)N)rrrrGrHrF)r/rLr'r'r)r�scCs|dkrt�}t|�S)N)r�_ContextManager)Zctxr'r'r)r�s$c
@s�eZdZd�Zd�dd�Zed	d
��Zdd�Zd
d�Zd�dd�Z	dd�Z
dd�Zdd�Zd�dd�Z
d�dd�Zd�dd�Zd�dd�Zd�dd �Zd�d!d"�Zd#d$�Zd%d&�Zd'd(�Zd)d*�Zd�d,d-�Zd�d.d/�Zd�d0d1�Z�dd2d3�Z�dd5d6�Z�dd7d8�ZeZ�dd9d:�Z�dd;d<�Z�dd=d>�Z e Z!�dd?d@�Z"dAdB�Z#�ddCdD�Z$�ddEdF�Z%�d	dGdH�Z&�d
dIdJ�Z'�ddKdL�Z(�ddMdN�Z)�d
dOdP�Z*�ddQdR�Z+dSdT�Z,dUdV�Z-e-Z.dWdX�Z/e0e/�Z/dYdZ�Z1e0e1�Z1d[d\�Z2d]d^�Z3d_d`�Z4dadb�Z5dcdd�Z6dedf�Z7dgdh�Z8didj�Z9dkdl�Z:dmdn�Z;dodp�Z<dqdr�Z=e>e6e7e8e9e:e;e<e=ds�Z?�ddtdu�Z@dvdw�ZAdxdy�ZB�ddzd{�ZC�dd|d}�ZDd~d�ZE�dd�d��ZF�dd�d��ZG�dd�d��ZH�dd�d��ZI�dd�d��ZJd�d��ZKd�d��ZL�dd�d��ZM�dd�d��ZNeNZO�dd�d��ZP�dd�d��ZQ�dd�d��ZRd�d��ZSd�d��ZTd�d��ZUd�d��ZV�dd�d��ZW�dd�d��ZX�dd�d��ZYd�d��ZZd�d��Z[�dd�d��Z\�d d�d��Z]d�d��Z^d�d��Z_d�d��Z`d�d��Za�d!d�d��Zbd�d��Zcd�d��Zdd�d��Ze�d"d�d��Zfd�d��Zgd�dÄZh�d#d�dńZid�dDŽZj�d$d�dɄZk�d%d�d˄Zld�d̈́Zmd�dτZn�d&d�dфZo�d'd�dӄZp�d(d�dՄZq�d)d�dׄZr�d*d�dلZs�d+d�dۄZt�d,d�d݄Zu�d-d�d߄Zv�d.d�d�Zw�d/d�d�Zxd�d�Zy�d0d�d�Zz�d1d�d�Z{�d2d�d�Z|d�d�Z}d�d�Z~d�d�Z�d3d�d�Z�dS(4r�_expr7r6�_is_special�0NcCs�tj|�}t|t��r$t|j�jdd��}|dkrP|dkr@t�}|jt	d|�S|j
d�dkrfd|_nd|_|j
d�}|dk	r�|j
d	�p�d}t|j
d
�p�d�}tt||��|_
|t|�|_d|_nZ|j
d
�}|dk	�rtt|p�d��jd�|_
|j
d��rd|_nd|_nd|_
d|_d|_|St|t��rf|dk�rBd|_nd|_d|_tt|��|_
d|_|St|t��r�|j|_|j|_|j
|_
|j|_|St|t��r�|j|_t|j�|_
t|j�|_d|_|St|ttf��r&t|�dk�r�td��t|dt��o|ddk�std��|d|_|ddk�rHd|_
|d|_d|_n�g}	x^|dD]R}
t|
t��r�d|
k�ozdkn�r�|	�s�|
dk�r�|	j|
�ntd���qVW|ddk�r�djtt|	��|_
|d|_d|_nDt|dt��rdjtt|	�pdg��|_
|d|_d|_ntd��|St|t��r||dk�rBt�}|jtd�tj|�}|j|_|j|_|j
|_
|j|_|St d|��dS)N�_�zInvalid literal for Decimal: %rr<�-r-r%�intZfrac�exprPF�diag�signal�Nr4�FT�ztInvalid tuple size in creation of Decimal from list or tuple.  The list or tuple should have exactly three elements.z|Invalid sign.  The first value in the tuple should be an integer; either 0 for a positive number or 1 for a negative number.r+�	zTThe second value in the tuple must be composed of integers in the range 0 through 9.zUThe third value in the tuple must be an integer, or one of the strings 'F', 'n', 'N'.z;strict semantics for mixing floats and Decimals are enabledzCannot convert %r to Decimal)r%r-)r4rX)!�object�__new__�
isinstance�str�_parser�strip�replacer�_raise_errorr�groupr6rTr7�lenrNrO�lstrip�absr�_WorkRepr<rU�list�tuple�
ValueError�append�join�map�floatr�
from_float�	TypeError)�cls�valuer/r.�m�intpart�fracpartrUrV�digitsZdigitr'r'r)r]4s�







(



zDecimal.__new__cCs�t|t�r||�St|t�s$td��tj|�s8tj|�rD|t|��Stjd|�dkrZd}nd}t	|�j
�\}}|j�d}t|t
|d|�|�}|tkr�|S||�SdS)Nzargument must be int or float.g�?r%r-�)r^rTrorq�_mathZisinfZisnan�reprZcopysignrg�as_integer_ratio�
bit_lengthr5r_r)rr�fr<r4�d�k�resultr'r'r)rp�s

zDecimal.from_floatcCs(|jr$|j}|dkrdS|dkr$dSdS)Nr4r-rXr+r%)rOrN)r.rUr'r'r)�_isnan�szDecimal._isnancCs|jdkr|jrdSdSdS)NrYr-r%���)rNr6)r.r'r'r)�_isinfinitys

zDecimal._isinfinitycCs||j�}|dkrd}n|j�}|s&|rx|dkr4t�}|dkrJ|jtd|�S|dkr`|jtd|�S|rn|j|�S|j|�SdS)NFr+�sNaNr%)r�rrcr	r8)r.�otherr/�self_is_nan�other_is_nanr'r'r)�_check_nanss"


zDecimal._check_nanscCsv|dkrt�}|js|jrr|j�r0|jtd|�S|j�rF|jtd|�S|j�r\|jtd|�S|j�rr|jtd|�SdS)Nzcomparison involving sNaNzcomparison involving NaNr%)rrO�is_snanrcr	�is_qnan)r.r�r/r'r'r)�_compare_check_nans.s(zDecimal._compare_check_nanscCs|jp|jdkS)NrP)rOr7)r.r'r'r)�__bool__OszDecimal.__bool__cCs|js|jr8|j�}|j�}||kr(dS||kr4dSdS|sP|sDdSd|jS|s^d|jS|j|jkrndS|j|jkr~dS|j�}|j�}||k�r�|jd|j|j}|jd|j|j}||kr�dS||kr�d|jSd	|jSn ||k�rd
|jSd|jSdS)Nr%r-rPr�r�r�r�r�r�r�r�)rOr�r6�adjustedr7rN)r.r�Zself_infZ	other_inf�
self_adjustedZother_adjusted�self_paddedZother_paddedr'r'r)�_cmpVs>



zDecimal._cmpcCs<t||dd�\}}|tkr|S|j||�r.dS|j|�dkS)NT)�equality_opFr%)�_convert_for_comparison�NotImplementedr�r�)r.r�r/r'r'r)�__eq__�szDecimal.__eq__cCs<t||�\}}|tkr|S|j||�}|r.dS|j|�dkS)NFr%)r�r�r�r�)r.r�r/r:r'r'r)�__lt__�szDecimal.__lt__cCs<t||�\}}|tkr|S|j||�}|r.dS|j|�dkS)NFr%)r�r�r�r�)r.r�r/r:r'r'r)�__le__�szDecimal.__le__cCs<t||�\}}|tkr|S|j||�}|r.dS|j|�dkS)NFr%)r�r�r�r�)r.r�r/r:r'r'r)�__gt__�szDecimal.__gt__cCs<t||�\}}|tkr|S|j||�}|r.dS|j|�dkS)NFr%)r�r�r�r�)r.r�r/r:r'r'r)�__ge__�szDecimal.__ge__cCs>t|dd�}|js|r0|jr0|j||�}|r0|St|j|��S)NT)�raiseit)�_convert_otherrOr�rr�)r.r�r/r:r'r'r)�compare�szDecimal.comparecCs�|jr4|j�rtd��n|j�r$tS|jr0tStS|jdkrNtd|jt	�}ntt
|jt	�}t|j�|t	}|dkr||n|}|dkr�dS|S)Nz"Cannot hash a signaling NaN value.r%�
r-r+r����)
rOr�rq�is_nan�_PyHASH_NANr6�_PyHASH_INFrN�pow�_PyHASH_MODULUS�
_PyHASH_10INVrTr7)r.Zexp_hashZhash_r:r'r'r)�__hash__�s

zDecimal.__hash__cCst|jttt|j��|j�S)N)rr6rjrnrTr7rN)r.r'r'r)�as_tuple�szDecimal.as_tuplecCs�|jr |j�rtd��ntd��|s(dSt|j�}|jdkrR|d|jd}}nr|j}x(|dkr�|ddkr�|d}|d8}q\W|j}t||@j�d|�}|r�||L}||8}d||>}|j	r�|}||fS)Nz#cannot convert NaN to integer ratioz(cannot convert Infinity to integer ratior%r-r�rx)r%r-)
rOr�rk�
OverflowErrorrTr7rN�minr|r6)r.r4r~Zd5Zd2Zshift2r'r'r)r{�s,


zDecimal.as_integer_ratiocCsdt|�S)Nz
Decimal('%s'))r_)r.r'r'r)�__repr__'szDecimal.__repr__Fc	Csdddg|j}|jrL|jdkr&|dS|jdkr>|d|jS|d|jS|jt|j�}|jdkrt|dkrt|}n6|s~d
}n,|jdkr�|d
dd
}n|d
dd
}|dkr�d}d
d||j}nN|t|j�k�r�|jd|t|j�}d}n |jd|�}d
|j|d�}||k�r*d}n*|dk�r:t�}ddg|jd||}||||S)NrRrSrYZInfinityr4�NaNr�r%�r-rPrZ�.�e�Ez%+di����)r6rOrNr7rer�capitals)	r.�engr/r<�
leftdigits�dotplacerurvrUr'r'r)�__str__,s:




zDecimal.__str__cCs|jd|d�S)NT)r�r/)r�)r.r/r'r'r)�
to_eng_string`szDecimal.to_eng_stringcCsT|jr|j|d�}|r|S|dkr(t�}|rB|jtkrB|j�}n|j�}|j|�S)N)r/)rOr�rr>r�copy_abs�copy_negate�_fix)r.r/r:r'r'r)�__neg__is
zDecimal.__neg__cCsT|jr|j|d�}|r|S|dkr(t�}|rB|jtkrB|j�}nt|�}|j|�S)N)r/)rOr�rr>rr�rr�)r.r/r:r'r'r)�__pos__s
zDecimal.__pos__TcCsJ|s|j�S|jr&|j|d�}|r&|S|jr:|j|d�}n|j|d�}|S)N)r/)r�rOr�r6r�r�)r.�roundr/r:r'r'r)�__abs__�szDecimal.__abs__c
Cslt|�}|tkr|S|dkr"t�}|js.|jr�|j||�}|rB|S|j�rr|j|jkrj|j�rj|jtd�St	|�S|j�r�t	|�St
|j|j�}d}|jt
kr�|j|jkr�d}|r�|r�t
|j|j�}|r�d}t|d|�}|j|�}|S|�s"t||j|jd�}|j||j�}|j|�}|S|�sZt||j|jd�}|j||j�}|j|�}|St|�}t|�}t|||j�\}}t�}	|j|jk�r�|j|jk�r�t|d|�}|j|�}|S|j|jk�r�||}}|jdk�r�d|	_|j|j|_|_nd|	_n&|jdk�rd|	_d\|_|_nd|	_|jdk�r@|j|j|	_n|j|j|	_|j|	_t	|	�}|j|�}|S)Nz
-INF + INFr%r-rP)r%r%)r�r�rrOr�r�r6rcr	rr�rNr>rr5r��maxr?�_rescalerh�
_normalizer<rTrU)
r.r�r/r:rUZnegativezeror<�op1�op2r�r'r'r)�__add__�s|





zDecimal.__add__cCsHt|�}|tkr|S|js |jr6|j||d�}|r6|S|j|j�|d�S)N)r/)r�r�rOr�r�r�)r.r�r/r:r'r'r)�__sub__szDecimal.__sub__cCs"t|�}|tkr|S|j||d�S)N)r/)r�r�r�)r.r�r/r'r'r)�__rsub__szDecimal.__rsub__cCsDt|�}|tkr|S|dkr"t�}|j|jA}|js:|jr�|j||�}|rN|S|j�rn|sf|jtd�St	|S|j�r�|s�|jtd�St	|S|j
|j
}|s�|r�t|d|�}|j|�}|S|j
dkr�t||j
|�}|j|�}|S|j
dk�rt||j
|�}|j|�}|St|�}t|�}t|t|j|j�|�}|j|�}|S)Nz(+-)INF * 0z0 * (+-)INFrP�1)r�r�rr6rOr�r�rcr	r;rNr5r�r7rhr_rT)r.r�r/Z
resultsignr:Z	resultexpr�r�r'r'r)�__mul__sH




zDecimal.__mul__cCs�t|�}|tkrtS|dkr"t�}|j|jA}|js:|jr�|j||�}|rN|S|j�rj|j�rj|jtd�S|j�rzt	|S|j�r�|jt
d�t|d|j��S|s�|s�|jt
d�S|jtd|�S|s�|j|j}d}n�t|j�t|j�|jd}|j|j|}t|�}t|�}	|dk�r:t|jd||	j�\}}
nt|j|	jd|�\}}
|
�rt|d	dk�r�|d7}n<|j|j}x.||k�r�|ddk�r�|d}|d7}�q�Wt|t|�|�}|j|�S)
Nz(+-)INF/(+-)INFzDivision by infinityrPz0 / 0zx / 0r%r-r�rx)r�r�rr6rOr�r�rcr	r;rr5�Etinyrr
rNrer7r?rh�divmodrTr_r�)r.r�r/r<r:rU�coeff�shiftr�r��	remainder�	ideal_expr'r'r)�__truediv__QsP

zDecimal.__truediv__cCs |j|jA}|j�r|j}nt|j|j�}|j�|j�}|sP|j�sP|dkrjt|dd�|j||j�fS||jk�rt	|�}t	|�}|j
|j
kr�|jd|j
|j
9_n|jd|j
|j
9_t|j|j�\}}	|d|jk�rt|t
|�d�t|jt
|	�|�fS|jtd�}
|
|
fS)Nr+rPr%r�z%quotient too large in //, % or divmodr�)r6r�rNr�r�r5r�r>r?rhrUrTr�r_rcr)r.r�r/r<r��expdiffr�r��q�rr:r'r'r)�_divide�s*
zDecimal._dividecCs"t|�}|tkr|S|j||d�S)N)r/)r�r�r�)r.r�r/r'r'r)�__rtruediv__�szDecimal.__rtruediv__cCs�t|�}|tkr|S|dkr"t�}|j||�}|r:||fS|j|jA}|j�r~|j�rj|jtd�}||fSt||jtd�fS|s�|s�|jt	d�}||fS|jt
d|�|jtd�fS|j||�\}}|j|�}||fS)Nzdivmod(INF, INF)zINF % xzdivmod(0, 0)zx // 0zx % 0)
r�r�rr�r6r�rcr	r;rr
r�r�)r.r�r/r:r<Zquotientr�r'r'r)�
__divmod__�s0
zDecimal.__divmod__cCs"t|�}|tkr|S|j||d�S)N)r/)r�r�r�)r.r�r/r'r'r)�__rdivmod__�szDecimal.__rdivmod__cCs�t|�}|tkr|S|dkr"t�}|j||�}|r6|S|j�rJ|jtd�S|sj|r^|jtd�S|jtd�S|j||�d}|j	|�}|S)NzINF % xzx % 0z0 % 0r-)
r�r�rr�r�rcr	rr�r�)r.r�r/r:r�r'r'r)�__mod__�s"
zDecimal.__mod__cCs"t|�}|tkr|S|j||d�S)N)r/)r�r�r�)r.r�r/r'r'r)�__rmod__�szDecimal.__rmod__cCs�|dkrt�}t|dd�}|j||�}|r.|S|j�rB|jtd�S|sb|rV|jtd�S|jtd�S|j�r|t|�}|j|�St	|j
|j
�}|s�t|jd|�}|j|�S|j
�|j
�}||jdkr�|jt�S|dkr�|j||j�}|j|�St|�}t|�}|j|jk�r(|jd	|j|j9_n|jd	|j|j9_t|j|j�\}}	d|	|d@|jk�r~|	|j8}	|d7}|d	|jk�r�|jt�S|j}
|	d
k�r�d|
}
|	}	t|
t|	�|�}|j|�S)NT)r�zremainder_near(infinity, x)zremainder_near(x, 0)zremainder_near(0, 0)rPr-r+r�r%r�)rr�r�r�rcr	rrr�r�rNr5r6r�r?rr�r>rhrUrTr�r_)r.r�r/r:�ideal_exponentr�r�r�r�r�r<r'r'r)�remainder_nearsZ






zDecimal.remainder_nearcCs�t|�}|tkr|S|dkr"t�}|j||�}|r6|S|j�rb|j�rR|jtd�St|j|jAS|s�|r�|jt	d|j|jA�S|jt
d�S|j||�dS)Nz
INF // INFzx // 0z0 // 0r%)r�r�rr�r�rcr	r;r6r
rr�)r.r�r/r:r'r'r)�__floordiv__Ls$zDecimal.__floordiv__cCs"t|�}|tkr|S|j||d�S)N)r/)r�r�r�)r.r�r/r'r'r)�
__rfloordiv__hszDecimal.__rfloordiv__cCs8|j�r(|j�rtd��|jr"dnd}nt|�}t|�S)Nz%Cannot convert signaling NaN to floatz-nan�nan)r�r�rkr6r_ro)r.�sr'r'r)�	__float__oszDecimal.__float__cCst|jr(|j�rtd��n|j�r(td��d|j}|jdkrT|t|j�d|jS|t|jd|j�pjd�SdS)NzCannot convert NaN to integerz"Cannot convert infinity to integerr-r%r�rPr�)	rOr�rkr�r�r6rNrTr7)r.r�r'r'r)�__int__ys


zDecimal.__int__cCs|S)Nr')r.r'r'r)�real�szDecimal.realcCstd�S)Nr%)r)r.r'r'r)�imag�szDecimal.imagcCs|S)Nr')r.r'r'r)�	conjugate�szDecimal.conjugatecCstt|��S)N)�complexro)r.r'r'r)�__complex__�szDecimal.__complex__cCsR|j}|j|j}t|�|krJ|t|�|d�jd�}t|j||jd�St|�S)NrPT)	r7r?�clamprerfr5r6rNr)r.r/ZpayloadZmax_payload_lenr'r'r)r8�szDecimal._fix_nancCsX|jr |j�r|j|�St|�S|j�}|j�}|s�|j|g|j}tt	|j
|�|�}||j
krx|jt�t
|jd|�St|�St|j�|j
|j}||kr�|jtd|j�}|jt�|jt�|S||k}|r�|}|j
|k�r�t|j�|j
|}	|	dk�rt
|jd|d�}d}	|j|j}
|
||	�}|jd|	��p>d}|dk�r~tt|�d�}t|�|jk�r~|dd�}|d7}||k�r�|jtd|j�}nt
|j||�}|�r�|�r�|jt�|�r�|jt�|�r�|jt�|jt�|�s�|jt�|S|�r|jt�|jdk�rP|j
|k�rP|jt�|jd|j
|}
t
|j|
|�St|�S)NrPz
above Emaxr%r�r-r�)rOr�r8rr��Etopr@r�r�r�rNrcrr5r6rer7r?rrr�_pick_rounding_functionr>r_rTrr
)r.r/r�r��exp_maxZnew_expZexp_minr:Zself_is_subnormalrwZrounding_method�changedr�r�r'r'r)r��sn
















zDecimal._fixcCst|j|�rdSdSdS)Nr%r-r�)�
_all_zerosr7)r.r?r'r'r)�_round_downszDecimal._round_downcCs|j|�S)N)r�)r.r?r'r'r)�	_round_upszDecimal._round_upcCs*|j|dkrdSt|j|�r"dSdSdS)NZ56789r-r%r�)r7r�)r.r?r'r'r)�_round_half_ups
zDecimal._round_half_upcCst|j|�rdS|j|�SdS)Nr-r�)�_exact_halfr7r�)r.r?r'r'r)�_round_half_downszDecimal._round_half_downcCs8t|j|�r*|dks&|j|ddkr*dS|j|�SdS)Nr%r-�02468r�)r�r7r�)r.r?r'r'r)�_round_half_even#szDecimal._round_half_evencCs |jr|j|�S|j|�SdS)N)r6r�)r.r?r'r'r)�_round_ceiling+s
zDecimal._round_ceilingcCs |js|j|�S|j|�SdS)N)r6r�)r.r?r'r'r)�_round_floor2s
zDecimal._round_floorcCs0|r |j|ddkr |j|�S|j|�SdS)Nr-Z05)r7r�)r.r?r'r'r)�_round_05up9s
zDecimal._round_05up)rrrrrrrrcCsb|dk	r2t|t�std��tdd|�}|j|�S|jrR|j�rJtd��ntd��t|j	dt
��S)Nz+Second argument to round should be integralr%r�zcannot round a NaNzcannot round an infinity)r^rTrqr5�quantizerOr�rkr�r�r)r.r4rUr'r'r)�	__round__Ks/


zDecimal.__round__cCs0|jr |j�rtd��ntd��t|jdt��S)Nzcannot round a NaNzcannot round an infinityr%)rOr�rkr�rTr�r)r.r'r'r)�	__floor__�s

zDecimal.__floor__cCs0|jr |j�rtd��ntd��t|jdt��S)Nzcannot round a NaNzcannot round an infinityr%)rOr�rkr�rTr�r)r.r'r'r)�__ceil__�s

zDecimal.__ceil__cCst|dd�}t|dd�}|js$|jr�|dkr2t�}|jdkrJ|jtd|�S|jdkrb|jtd|�S|jdkrr|}nf|jdkr�|}nV|jdkr�|s�|jtd�St|j|jA}n*|jdkr�|s�|jtd�St|j|jA}n0t|j|jAt	t
|j�t
|j��|j|j�}|j||�S)	NT)r�rXr�r4rYzINF * 0 in fmaz0 * INF in fma)
r�rOrrNrcr	r;r6r5r_rTr7r�)r.r�Zthirdr/�productr'r'r)�fma�s6





zDecimal.fmacCs�t|�}|tkr|St|�}|tkr(|S|dkr6t�}|j�}|j�}|j�}|sZ|sZ|r�|dkrp|jtd|�S|dkr�|jtd|�S|dkr�|jtd|�S|r�|j|�S|r�|j|�S|j|�S|j�o�|j�o�|j�s�|jtd�S|dkr�|jtd�S|�s|jtd�S|j�|j	k�r(|jtd�S|�rD|�rD|jtd�S|j
��rTd}n|j}tt
|��}t|j��}t|j��}	|j
|td	|j|�|}x t|	j�D]}
t|d	|�}�q�Wt||	j
|�}t|t|�d�S)
Nr+r�z@pow() 3rd argument not allowed unless all arguments are integersr%zApow() 2nd argument cannot be negative when 3rd argument specifiedzpow() 3rd argument cannot be 0zSinsufficient precision: pow() 3rd argument must not have more than precision digitszXat least one of pow() 1st argument and 2nd argument must be nonzero; 0**0 is not definedr�)r�r�rr�rcr	r8�
_isintegerr�r?�_isevenr6rgrTrh�to_integral_valuer�rU�ranger5r_)r.r��modulor/r�r�Z
modulo_is_nanr<�base�exponent�ir'r'r)�
_power_modulo�sl



zDecimal._power_modulocCst|�}|j|j}}x |ddkr6|d}|d7}qWt|�}|j|j}}x |ddkrn|d}|d7}qPW|dk�r||9}x |ddkr�|d}|d7}q�W|dkr�dS|d|}	|jdkr�|	}	|j�o�|jdk�r|jt|�}
t|	|
|d�}nd}tddd||	|�S|jdk�r�|d}|dk�r�||@|k�rPdSt	|�d}
|d
d}|t
t|��k�r~dSt|
||�}
t|||�}|
dk�s�|dk�r�dS|
|k�r�dSd|
}n�|dk�r�t	|�d
d}
t
d|
|�\}}|�rdSx$|ddk�r$|d}|
d8}
�qW|dd}|t
t|��k�rHdSt|
||�}
t|||�}|
dk�sx|dk�r|dS|
|k�r�dSd|
}ndS|d|k�r�dS|
|}tdt|�|�S|dk�r�|d|d}}n�|dk�rt
tt||���|k�rdSt	|�}|dk�r>t
tt|�|��|k�r>dS|d|}}x:|d|dk�oldkn�r�|d}|d}�qPWx:|d|dk�o�dkn�r�|d}|d}�q�W|dk�rt|dk�r�||k�r�dSt
||�\}}|dk�rdSdt	|�|>}x>t
|||d�\}}||k�r>Pn||d||}�qW||k�oh|dk�spdS|}|dk�r�||dt|�k�r�dS||}||9}|d|k�r�dSt|�}|j��r�|jdk�r�|jt|�}
t||
|t
|��}nd}td|d|||�S)Nr�r%r-r�rPr+�r���]�Arx�rZ�d)r+rr�r)rhrTrUr<r�r6rNr�r5�_nbitsrer_�_decimal_lshift_exactr�rg�	_log10_lb)r.r��p�x�xc�xe�y�yc�yer�r�ZzerosZ
last_digitr�Zemaxr�rtr4Zxc_bits�rem�ar�r�Zstr_xcr'r'r)�_power_exact(s�:









&&&&


 zDecimal._power_exactcCs@|dk	r|j|||�St|�}|tkr*|S|dkr8t�}|j||�}|rL|S|sd|s`|jtd�StSd}|jdkr�|j	�r�|j
�s�d}n|r�|jtd�S|j�}|s�|jdkr�t|dd�St
|S|j�r�|jdkr�t
|St|dd�S|tk�r�|j	��rZ|jdk�rd}n||jk�r"|j}nt|�}|j|}|d|jk�rxd|j}|jt�n|jt�|jt�d|j}t|dd||�S|j�}|j��r�|jdk|dkk�r�t|dd�St
|Sd}d}	|j�|j�}
|dk|jdkk�r|
tt|j��k�rHt|d|jd�}n,|j�}|
tt|��k�rHt|d|d�}|dk�r�|j||jd�}|dk	�r�|dk�r�td|j|j�}d}	|dk�r:|j}t|�}
|
j|
j}}t|�}|j|j}}|jdk�r�|}d	}xJt||||||�\}}|d
dtt|��|d�rP|d	7}�q�Wt|t|�|�}|	�r2|j	��r2t|j�|jk�r�|jdt|j�}t|j|jd||j|�}|j �}|j!�xt"D]}d|j#|<�q�W|j$|�}|jt�|j%t&�r�|jt'�|j%t(�r|jt(d|j�x:t't&ttt)fD]}|j%|�r|j|��qWn
|j$|�}|S)
Nz0 ** 0r%r-z+x ** y with x negative and y not an integerrPr�FTrZrxr�z
above Emax)*rr�r�rr�rcr	�_Oner6r�r�r�r5r;r�r?rTrNrrr��_log10_exp_boundrer_r@r�rr7rhrUr<�_dpowerrGrH�_signals�trapsr��flagsr
rrr)r.r�r�r/r:Zresult_signZ
multiplierrUZself_adj�exactZboundr�r
rrr
rrr�extrar�r�Z
newcontextZ	exceptionr'r'r)�__pow__	s�














"




zDecimal.__pow__cCs"t|�}|tkr|S|j||d�S)N)r/)r�r�r)r.r�r/r'r'r)�__rpow__�	szDecimal.__rpow__cCs�|dkrt�}|jr(|j|d�}|r(|S|j|�}|j�r>|S|sPt|jdd�S|j|j�g|j	}t
|j�}|j}x.|j|ddkr�||kr�|d7}|d8}qvWt|j|jd|�|�S)N)r/rPr%r-)
rrOr�r�r�r5r6r@r�r�rer7rN)r.r/r:�dupr��endrUr'r'r)�	normalize�	s$

zDecimal.normalizecCs�t|dd�}|dkrt�}|dkr(|j}|js4|jr||j||�}|rH|S|j�sX|j�r||j�rp|j�rpt|�S|jtd�S|j	�|j
ko�|jkns�|jtd�S|s�t|j
d|j
�}|j|�S|j�}||jkr�|jtd�S||j
d|jk�r|jtd�S|j|j
|�}|j�|jk�r0|jtd�St|j�|jk�rN|jtd�S|�rn|j�|jk�rn|jt�|j
|j
k�r�||k�r�|jt�|jt�|j|�}|S)	NT)r�zquantize with one INFz)target exponent out of bounds in quantizerPz9exponent of quantize result too large for current contextr-z7quantize result has too many digits for current context)r�rr>rOr�r�rrcr	r�rNr@r5r6r�r�r?r�rer7�Eminr
rr)r.rUr>r/r:r�r'r'r)r�
sT 






zDecimal.quantizecCsDt|dd�}|js|jr8|j�r(|j�p6|j�o6|j�S|j|jkS)NT)r�)r�rOr��is_infiniterN)r.r�r/r'r'r)�same_quantumJ
s
	zDecimal.same_quantumcCs�|jrt|�S|s t|jd|�S|j|krHt|j|jd|j||�St|j�|j|}|dkrzt|jd|d�}d}|j|}|||�}|jd|�p�d}|dkr�tt	|�d�}t|j||�S)NrPr%r�r-)
rOrr5r6rNr7rer�r_rT)r.rUr>rwZ
this_functionr�r�r'r'r)r�Y
s"


zDecimal._rescalecCsh|dkrtd��|js|r$t|�S|j|j�d||�}|j�|j�krd|j|j�d||�}|S)Nr%z'argument should be at least 1 in _roundr-)rkrOrr�r�)r.�placesr>r:r'r'r)�_round{
s
zDecimal._roundcCs�|jr"|j|d�}|r|St|�S|jdkr4t|�S|sFt|jdd�S|dkrTt�}|dkrb|j}|jd|�}||kr�|j	t
�|j	t�|S)N)r/r%rP)rOr�rrNr5r6rr>r�rcrr)r.r>r/r:r'r'r)�to_integral_exact�
s$



zDecimal.to_integral_exactcCs`|dkrt�}|dkr|j}|jr>|j|d�}|r6|St|�S|jdkrPt|�S|jd|�SdS)N)r/r%)rr>rOr�rrNr�)r.r>r/r:r'r'r)r��
s
zDecimal.to_integral_valuecCs�|dkrt�}|jrB|j|d�}|r(|S|j�rB|jdkrBt|�S|sdt|jd|jd�}|j|�S|jdkrz|j	t
d�S|jd}t|�}|j
d?}|j
d@r�|jd}t|j�d?d}n|j}t|j�dd?}||}|dkr�|d|9}d	}	nt|d|�\}}
|
}	||8}d|}x(||}||k�r:Pn||d?}�q$W|	�o\|||k}	|	�r�|dk�r||d|}n|d|9}||7}n|d
dk�r�|d7}tdt|�|�}|j�}|jt�}
|j|�}|
|_|S)N)r/r%rPr+r-zsqrt(-x), x > 0r�rTrx)rrOr�r�r6rr5rNr�rcr	r?rhrUrTrer7r�r_�
_shallow_copy�
_set_roundingrr>)r.r/r:r?�opr��c�lr�rr�r4r�r>r'r'r)�sqrt�
s`










zDecimal.sqrtcCs�t|dd�}|dkrt�}|js&|jr~|j�}|j�}|s>|r~|dkrX|dkrX|j|�S|dkrr|dkrr|j|�S|j||�S|j|�}|dkr�|j|�}|dkr�|}n|}|j|�S)NT)r�r-r%r�)r�rrOr�r�r�r��
compare_total)r.r�r/�sn�onr*r:r'r'r)r�%s&


	
zDecimal.maxcCs�t|dd�}|dkrt�}|js&|jr~|j�}|j�}|s>|r~|dkrX|dkrX|j|�S|dkrr|dkrr|j|�S|j||�S|j|�}|dkr�|j|�}|dkr�|}n|}|j|�S)NT)r�r-r%r�)r�rrOr�r�r�r�r-)r.r�r/r.r/r*r:r'r'r)r�Os&



zDecimal.mincCs8|jr
dS|jdkrdS|j|jd�}|dt|�kS)NFr%TrP)rOrNr7re)r.�restr'r'r)r�qs
zDecimal._isintegercCs(|s|jdkrdS|jd|jdkS)Nr%Tr-r�r�)rNr7)r.r'r'r)r�zszDecimal._isevencCs.y|jt|j�dStk
r(dSXdS)Nr-r%)rNrer7rq)r.r'r'r)r��szDecimal.adjustedcCs|S)Nr')r.r'r'r)�	canonical�szDecimal.canonicalcCs.t|dd�}|j||�}|r |S|j||d�S)NT)r�)r/)r�r�r�)r.r�r/r:r'r'r)�compare_signal�s
zDecimal.compare_signalcCsft|dd�}|jr|jrtS|jr0|jr0tS|j}|j�}|j�}|sP|�r||kr�t|j�|jf}t|j�|jf}||kr�|r�tStS||kr�|r�tStStS|r�|dkr�tS|dkr�tS|dkr�tS|dkr�tSn4|dkr�tS|dkr�tS|dk�rtS|dk�rtS||k�rtS||k�r*tS|j|jk�rF|�rBtStS|j|jk�rb|�r^tStStS)NT)r�r-r+)	r�r6�_NegativeOnerr�rer7�_ZerorN)r.r�r/r<Zself_nanZ	other_nanZself_keyZ	other_keyr'r'r)r-�sf




zDecimal.compare_totalcCs&t|dd�}|j�}|j�}|j|�S)NT)r�)r�r�r-)r.r�r/r��or'r'r)�compare_total_mag�szDecimal.compare_total_magcCstd|j|j|j�S)Nr%)r5r7rNrO)r.r'r'r)r��szDecimal.copy_abscCs2|jrtd|j|j|j�Std|j|j|j�SdS)Nr%r-)r6r5r7rNrO)r.r'r'r)r��szDecimal.copy_negatecCs"t|dd�}t|j|j|j|j�S)NT)r�)r�r5r6r7rNrO)r.r�r/r'r'r)�	copy_sign�s
zDecimal.copy_signcCs�|dkrt�}|j|d�}|r"|S|j�d
kr2tS|s:tS|j�dkrNt|�S|j}|j�}|jdkr�|t	t
|jdd��kr�tdd|jd�}�n0|jdkr�|t	t
|j
�dd��kr�tdd|j
�d�}n�|jdko�||k�r
tddd|dd|�}n�|jdk�rB||dk�rBtdd|d|d�}n�t|�}|j|j}}|jdk�rj|}d}xFt||||�\}	}
|	dd	t	t
|	��|d�r�P|d7}�qpWtdt
|	�|
�}|j�}|jt�}|j|�}||_|S)N)r/r-r%rZr�rPr=rxr�r�)rr�r�r4rrr?r�r6rer_r@r5r�rhrTrUr<�_dexpr'r(rr�r>)r.r/r:r
�adjr)r*r�rr�rUr>r'r'r)rUsJ$( "

zDecimal.expcCsdS)NTr')r.r'r'r)�is_canonicalLszDecimal.is_canonicalcCs|jS)N)rO)r.r'r'r)�	is_finiteTszDecimal.is_finitecCs
|jdkS)NrY)rN)r.r'r'r)r"\szDecimal.is_infinitecCs
|jdkS)Nr4rX)r4rX)rN)r.r'r'r)r�`szDecimal.is_nancCs,|js|rdS|dkrt�}|j|j�kS)NF)rOrr!r�)r.r/r'r'r)�	is_normalds
zDecimal.is_normalcCs
|jdkS)Nr4)rN)r.r'r'r)r�lszDecimal.is_qnancCs
|jdkS)Nr-)r6)r.r'r'r)�	is_signedpszDecimal.is_signedcCs
|jdkS)NrX)rN)r.r'r'r)r�tszDecimal.is_snancCs,|js|rdS|dkrt�}|j�|jkS)NF)rOrr�r!)r.r/r'r'r)�is_subnormalxs
zDecimal.is_subnormalcCs|jo|jdkS)NrP)rOr7)r.r'r'r)�is_zero�szDecimal.is_zerocCs�|jt|j�d}|dkr4tt|dd��dS|dkrXttd|dd��dSt|�}|j|j}}|dkr�t|d|�}t|�}t|�t|�||kS|ttd||��dS)Nr-�r�r+r%r�r�)rNrer7r_rhrTrU)r.r9r)r*r��num�denr'r'r)�
_ln_exp_bound�szDecimal._ln_exp_boundc
Cs|dkrt�}|j|d�}|r"|S|s*tS|j�dkr:tS|tkrFtS|jdkr\|jt	d�St
|�}|j|j}}|j
}||j�d}x>t|||�}|ddttt|���|dr�P|d7}q�Wtt|dk�tt|��|�}|j�}|jt�}	|j|�}|	|_|S)	N)r/r-zln of a negative valuer+rxr�rZr%)rr��_NegativeInfinityr��	_Infinityrr4r6rcr	rhrTrUr?rC�_dlogrer_rgr5r'r(rr�r>)
r.r/r:r)r*r�r
r$r�r>r'r'r)�ln�s:
$

z
Decimal.lncCs�|jt|j�d}|dkr,tt|��dS|dkrHttd|��dSt|�}|j|j}}|dkr�t|d|�}td|�}t|�t|�||kdStd||�}t|�||dkdS)	Nr-r+r%r���Z231r�r�)rNrer7r_rhrTrU)r.r9r)r*r�rArBr'r'r)r�szDecimal._log10_exp_boundc
CsH|dkrt�}|j|d�}|r"|S|s*tS|j�dkr:tS|jdkrP|jtd�S|jddkr�|jdd�dt	|j�dkr�t
|jt	|j�d�}n�t|�}|j
|j}}|j}||j�d}x>t|||�}|dd	t	tt|���|dr�P|d
7}q�Wtt
|dk�tt|��|�}|j�}|jt�}	|j|�}|	|_|S)N)r/r-zlog10 of a negative valuer%r�rPr+rxr�rZ)rr�rDr�rEr6rcr	r7rerrNrhrTrUr?r�_dlog10r_rgr5r'r(rr�r>)
r.r/r:r)r*r�r
r$r�r>r'r'r)�log10�s:
.$

z
Decimal.log10cCsV|j|d�}|r|S|dkr"t�}|j�r.tS|s@|jtdd�St|j��}|j|�S)N)r/zlogb(0)r-)	r�rr�rErcr
rr�r�)r.r/r:r'r'r)�logb 
s	zDecimal.logbcCs8|jdks|jdkrdSx|jD]}|dkr dSq WdS)Nr%FZ01T)r6rNr7)r.�digr'r'r)�
_islogical>
szDecimal._islogicalcCs�|jt|�}|dkr$d||}n|dkr<||jd�}|jt|�}|dkr`d||}n|dkrx||jd�}||fS)Nr%rP)r?re)r.r/�opa�opbZdifr'r'r)�
_fill_logicalL
szDecimal._fill_logicalcCs~|dkrt�}t|dd�}|j�s.|j�r8|jt�S|j||j|j�\}}djdd�t||�D��}t	d|j
d�pxdd�S)NT)r�rRcSs$g|]\}}tt|�t|�@��qSr')r_rT)�.0r�br'r'r)�
<listcomp>g
sz'Decimal.logical_and.<locals>.<listcomp>r%rP)rr�rMrcr	rPr7rm�zipr5rf)r.r�r/rNrOr�r'r'r)�logical_andY
s
zDecimal.logical_andcCs(|dkrt�}|jtdd|jd�|�S)Nr%r�)r�logical_xorr5r?)r.r/r'r'r)�logical_invertj
szDecimal.logical_invertcCs~|dkrt�}t|dd�}|j�s.|j�r8|jt�S|j||j|j�\}}djdd�t||�D��}t	d|j
d�pxdd�S)NT)r�rRcSs$g|]\}}tt|�t|�B��qSr')r_rT)rQrrRr'r'r)rS
sz&Decimal.logical_or.<locals>.<listcomp>r%rP)rr�rMrcr	rPr7rmrTr5rf)r.r�r/rNrOr�r'r'r)�
logical_orq
s
zDecimal.logical_orcCs~|dkrt�}t|dd�}|j�s.|j�r8|jt�S|j||j|j�\}}djdd�t||�D��}t	d|j
d�pxdd�S)NT)r�rRcSs$g|]\}}tt|�t|�A��qSr')r_rT)rQrrRr'r'r)rS�
sz'Decimal.logical_xor.<locals>.<listcomp>r%rP)rr�rMrcr	rPr7rmrTr5rf)r.r�r/rNrOr�r'r'r)rV�
s
zDecimal.logical_xorcCs�t|dd�}|dkrt�}|js&|jr~|j�}|j�}|s>|r~|dkrX|dkrX|j|�S|dkrr|dkrr|j|�S|j||�S|j�j|j��}|dkr�|j|�}|dkr�|}n|}|j|�S)NT)r�r-r%r�)	r�rrOr�r�r�r�r�r-)r.r�r/r.r/r*r:r'r'r)�max_mag�
s&


zDecimal.max_magcCs�t|dd�}|dkrt�}|js&|jr~|j�}|j�}|s>|r~|dkrX|dkrX|j|�S|dkrr|dkrr|j|�S|j||�S|j�j|j��}|dkr�|j|�}|dkr�|}n|}|j|�S)NT)r�r-r%r�)	r�rrOr�r�r�r�r�r-)r.r�r/r.r/r*r:r'r'r)�min_mag�
s&


zDecimal.min_magcCs�|dkrt�}|j|d�}|r"|S|j�dkr2tS|j�dkrTtdd|j|j��S|j�}|jt	�|j
�|j|�}||kr�|S|jtdd|j
�d�|�S)N)r/r-r%r=r�r�)rr�r�rDr5r?r�rGr(r�_ignore_all_flagsr�r�r�)r.r/r:�new_selfr'r'r)�
next_minus�
s"

zDecimal.next_minuscCs�|dkrt�}|j|d�}|r"|S|j�dkr2tS|j�dkrTtdd|j|j��S|j�}|jt	�|j
�|j|�}||kr�|S|jtdd|j
�d�|�S)N)r/r-r=r%r�r�)rr�r�rEr5r?r�rGr(rr[r�r�r�)r.r/r:r\r'r'r)�	next_plus�
s"

zDecimal.next_pluscCs�t|dd�}|dkrt�}|j||�}|r.|S|j|�}|dkrJ|j|�S|dkr^|j|�}n
|j|�}|j�r�|jt	d|j
�|jt�|jt�nD|j
�|jkr�|jt�|jt�|jt�|jt�|s�|jt�|S)NT)r�r%r-z Infinite result from next_towardr�)r�rr�r�r7r^r]r�rcrr6rrr�r!rr
r)r.r�r/r:Z
comparisonr'r'r)�next_toward�
s4	








zDecimal.next_towardcCs�|j�rdS|j�rdS|j�}|dkr,dS|d
kr8dS|j�rN|jrJdSdS|dkr\t�}|j|d�rv|jrrd	Sd
S|jr�dSdSdS)Nr�r�r-z	+Infinityz	-Infinityz-Zeroz+Zero)r/z
-Subnormalz
+Subnormalz-Normalz+Normalr�)r�r�r�r?r6rr>)r.r/�infr'r'r)�number_class+s,zDecimal.number_classcCstd�S)Nr�)r)r.r'r'r)�radixUsz
Decimal.radixcCs�|dkrt�}t|dd�}|j||�}|r.|S|jdkrB|jt�S|jt|�ko^|jknsn|jt�S|j�r~t	|�St|�}|j
}|jt|�}|dkr�d||}n|dkr�||d�}||d�|d|�}t|j
|jd�p�d|j�S)NT)r�r%rP)rr�r�rNrcr	r?rTr�rr7rer5r6rf)r.r�r/r:�torot�rotdig�topadZrotatedr'r'r)�rotateYs,

"
zDecimal.rotatecCs�|dkrt�}t|dd�}|j||�}|r.|S|jdkrB|jt�Sd|j|j}d|j|j}|t|�kox|kns�|jt�S|j	�r�t
|�St|j|j
|jt|��}|j|�}|S)NT)r�r%r+r�)rr�r�rNrcr	r@r?rTr�rr5r6r7r�)r.r�r/r:ZliminfZlimsupr~r'r'r)�scalebzs"



zDecimal.scalebcCs|dkrt�}t|dd�}|j||�}|r.|S|jdkrB|jt�S|jt|�ko^|jknsn|jt�S|j�r~t	|�St|�}|j
}|jt|�}|dkr�d||}n|dkr�||d�}|dkr�|d|�}n|d|}||jd�}t|j
|jd��pd|j�S)NT)r�r%rP)rr�r�rNrcr	r?rTr�rr7rer5r6rf)r.r�r/r:rcrdreZshiftedr'r'r)r��s2

"
z
Decimal.shiftcCs|jt|�ffS)N)�	__class__r_)r.r'r'r)�
__reduce__�szDecimal.__reduce__cCst|�tkr|S|jt|��S)N)�typerrhr_)r.r'r'r)�__copy__�szDecimal.__copy__cCst|�tkr|S|jt|��S)N)rjrrhr_)r.�memor'r'r)�__deepcopy__�szDecimal.__deepcopy__cCsN|dkrt�}t||d�}|jrXt|j|�}t|j��}|ddkrL|d7}t|||�S|ddkrvddg|j|d<|ddkr�t	|j|j
|jd�}|j}|d}|dk	�r|ddkr�|j
|d	|�}nF|dd
kr�|j||�}n*|ddk�rt|j
�|k�r|j
||�}|�rB|jdk�rB|dd
k�rB|jd|�}|jt|j
�}	|ddk�r�|�r||dk	�r|d	|}
nd	}
nB|dd
k�r�|	}
n.|ddk�r�|jdk�r�|	dk�r�|	}
nd	}
|
dk�r�d}d|
|j
}nP|
t|j
�k�r|j
d|
t|j
�}d}n"|j
d|
��p$d}|j
|
d�}|	|
}
t|j|||
|�S)N)�_localeconvrj�%�g�Gr+�	precision�eEr-zfF%ZgGr%r�rPrRi����)r�_parse_format_specifierrO�_format_signr6r_r��
_format_alignr�r5r7rNr>r%r�re�_format_number)r.Z	specifierr/rn�specr<�bodyr>rrr�r�rurvrUr'r'r)�
__format__�sZ
"

zDecimal.__format__)rNr7r6rO)rPN)NN)N)N)N)N)N)N)FN)N)N)N)TN)N)N)N)N)N)N)N)N)N)N)N)N)N)N)N)N)NN)N)N)NN)N)NN)NN)N)N)N)N)N)N)N)N)N)N)N)N)N)N)N)N)N)N)N)N)N)N)N)N)N)N)NN)�r1r2r3�	__slots__r]�classmethodrpr�r�r�r�r�r�r�r�r�r�r�r�r�r�r{r�r�r�r�r�r�r��__radd__r�r�r��__rmul__r�r�r�r�r�r�r�r�r�r�r�r��	__trunc__r��propertyr�r�r�r8r�r�r�r�r�r�r�r�r��dictr�r�r�r�r�rrrrr r�r#r�r%r&r��to_integralr,r�r�r�r�r�r1r2r-r6r�r�r7rUr:r;r"r�r<r�r=r�r>r?rCrGrrJrKrMrPrUrWrXrVrYrZr]r^r_rarbrfrgr�rirkrmrzr'r'r'r)r+s
(
 !@

	
	
	
	
2
4
	
V7;!$K

f	>,UnY="c*"	IK23
.*!'FcCs&tjt�}||_||_||_||_|S)N)r\r]rr6r7rNrO)r<Zcoefficientr�Zspecialr.r'r'r)r5s
r5c@s$eZdZdd�Zdd�Zdd�ZdS)rMcCs|j�|_dS)N)rG�new_context)r.r�r'r'r)�__init__9sz_ContextManager.__init__cCst�|_t|j�|jS)N)r�
saved_contextrr�)r.r'r'r)�	__enter__;s
z_ContextManager.__enter__cCst|j�dS)N)rr�)r.�t�v�tbr'r'r)�__exit__?sz_ContextManager.__exit__N)r1r2r3r�r�r�r'r'r'r)rM3srMc	@s�eZdZd�dd�Zdd�Zdd�Zdd	�Zd
d�Zdd
�Zdd�Z	dd�Z
dd�Zdd�Zdd�Z
e
Zd�dd�Zdd�Zdd�Zdd�ZdZd d!�Zd"d#�Zd$d%�Zd�d'd(�Zd)d*�Zd+d,�Zd-d.�Zd/d0�Zd1d2�Zd3d4�Zd5d6�Zd7d8�Zd9d:�Z d;d<�Z!d=d>�Z"d?d@�Z#dAdB�Z$dCdD�Z%dEdF�Z&dGdH�Z'dIdJ�Z(dKdL�Z)dMdN�Z*dOdP�Z+dQdR�Z,dSdT�Z-dUdV�Z.dWdX�Z/dYdZ�Z0d[d\�Z1d]d^�Z2d_d`�Z3dadb�Z4dcdd�Z5dedf�Z6dgdh�Z7didj�Z8dkdl�Z9dmdn�Z:dodp�Z;dqdr�Z<dsdt�Z=dudv�Z>dwdx�Z?dydz�Z@d{d|�ZAd}d~�ZBdd��ZCd�d��ZDd�d��ZEd�d��ZFd�d�d��ZGd�d��ZHd�d��ZId�d��ZJd�d��ZKd�d��ZLd�d��ZMd�d��ZNd�d��ZOd�d��ZPd�d��ZQd�d��ZRd�d��ZSd�d��ZTd�d��ZUeUZVdS)�rNc
s>yt}
Wntk
rYnX|dk	r*|n|
j|_|dk	r>|n|
j|_|dk	rR|n|
j|_|dk	rf|n|
j|_|dk	rz|n|
j|_|dk	r�|n|
j|_|	dkr�g|_n|	|_�dkr�|
j	j
�|_	n.t�t�s�t�fdd�t
�D��|_	n�|_	�dk�r
tjt
d�|_n0t�t��s4t�fdd�t
�D��|_n�|_dS)Nc3s|]}|t|�k�fVqdS)N)rT)rQr�)rr'r)�	<genexpr>nsz#Context.__init__.<locals>.<genexpr>r%c3s|]}|t|�k�fVqdS)N)rT)rQr�)rr'r)r�us)r�	NameErrorr?r>r!r@r�r��_ignored_flagsrrGr^r�r�fromkeysr)r.r?r>r!r@r�r�rrr�Zdcr')rrr)r�Us.

zContext.__init__cCs�t|t�std|��|dkr<||kr�td||||f��nJ|dkrb||kr�td||||f��n$||ksr||kr�td||||f��tj|||�S)Nz%s must be an integerz-infz%s must be in [%s, %d]. got: %sr`z%s must be in [%d, %s]. got: %sz%s must be in [%d, %d]. got %s)r^rTrqrkr\�__setattr__)r.�namersZvminZvmaxr'r'r)�_set_integer_checkys
zContext._set_integer_checkcCsht|t�std|��x |D]}|tkrtd|��qWx tD]}||kr>td|��q>Wtj|||�S)Nz%s must be a signal dictz%s is not a valid signal dict)r^r�rqr�KeyErrorr\r�)r.r�r~�keyr'r'r)�_set_signal_dict�s


zContext._set_signal_dictcCs�|dkr|j||dd�S|dkr0|j||dd�S|dkrH|j||dd�S|dkr`|j||dd�S|d	krx|j||dd�S|d
kr�|tkr�td|��tj|||�S|dks�|d
kr�|j||�S|dkr�tj|||�Std|��dS)Nr?r-r`r!z-infr%r@r�r�r>z%s: invalid rounding moderrr�z.'decimal.Context' object has no attribute '%s')r��_rounding_modesrqr\r�r�rK)r.r�rsr'r'r)r��s(zContext.__setattr__cCstd|��dS)Nz%s cannot be deleted)rK)r.r�r'r'r)�__delattr__�szContext.__delattr__c	CsNdd�|jj�D�}dd�|jj�D�}|j|j|j|j|j|j|j	||ffS)NcSsg|]\}}|r|�qSr'r')rQ�sigr�r'r'r)rS�sz&Context.__reduce__.<locals>.<listcomp>cSsg|]\}}|r|�qSr'r')rQr�r�r'r'r)rS�s)
r�itemsrrhr?r>r!r@r�r�)r.rrr'r'r)ri�s
zContext.__reduce__cCs|g}|jdt|��dd�|jj�D�}|jddj|�d�dd�|jj�D�}|jddj|�d�dj|�d	S)
NzrContext(prec=%(prec)d, rounding=%(rounding)s, Emin=%(Emin)d, Emax=%(Emax)d, capitals=%(capitals)d, clamp=%(clamp)dcSsg|]\}}|r|j�qSr')r1)rQr}r�r'r'r)rS�sz$Context.__repr__.<locals>.<listcomp>zflags=[z, �]cSsg|]\}}|r|j�qSr')r1)rQr�r�r'r'r)rS�sztraps=[�))rl�varsrr�rmr)r.r��namesr'r'r)r��szContext.__repr__cCsx|jD]}d|j|<qWdS)Nr%)r)r.�flagr'r'r)rH�szContext.clear_flagscCsx|jD]}d|j|<qWdS)Nr%)r)r.r�r'r'r)�clear_traps�szContext.clear_trapsc
Cs.t|j|j|j|j|j|j|j|j|j	�	}|S)N)
rr?r>r!r@r�r�rrr�)r.�ncr'r'r)r'�szContext._shallow_copyc
Cs6t|j|j|j|j|j|j|jj�|j	j�|j
�	}|S)N)rr?r>r!r@r�r�rrGrr�)r.r�r'r'r)rG�s
zContext.copycGsZtj||�}||jkr(|�j|f|��Sd|j|<|j|sN|�j|f|��S||��dS)Nr-)�_condition_map�getr�r0rr)r.Z	conditionZexplanationr(�errorr'r'r)rc�s


zContext._raise_errorcCs
|jt�S)N)�
_ignore_flagsr)r.r'r'r)r[�szContext._ignore_all_flagscGs|jt|�|_t|�S)N)r�ri)r.rr'r'r)r��szContext._ignore_flagscGs<|rt|dttf�r|d}x|D]}|jj|�q$WdS)Nr%)r^rjrir��remove)r.rr�r'r'r)�
_regard_flags�s
zContext._regard_flagscCst|j|jd�S)Nr-)rTr!r?)r.r'r'r)r�sz
Context.EtinycCst|j|jd�S)Nr-)rTr@r?)r.r'r'r)r�szContext.EtopcCs|j}||_|S)N)r>)r.rjr>r'r'r)r(szContext._set_roundingrPcCsjt|t�r*||j�ksd|kr*|jtd�St||d�}|j�r`t|j�|j	|j
kr`|jtd�S|j|�S)NrQzAtrailing or leading whitespace and underscores are not permitted.)r/zdiagnostic info too long in NaN)r^r_rarcrrr�rer7r?r�r�)r.rAr~r'r'r)�create_decimal#szContext.create_decimalcCstj|�}|j|�S)N)rrpr�)r.r}r~r'r'r)�create_decimal_from_float4s
z!Context.create_decimal_from_floatcCst|dd�}|j|d�S)NT)r�)r/)r�r�)r.rr'r'r)rgFszContext.abscCs8t|dd�}|j||d�}|tkr0td|��n|SdS)NT)r�)r/zUnable to convert %s to Decimal)r�r�r�rq)r.rrRr�r'r'r)�add[s
zContext.addcCst|j|��S)N)r_r�)r.rr'r'r)�_applypszContext._applycCst|t�std��|j�S)Nz,canonical requires a Decimal as an argument.)r^rrqr1)r.rr'r'r)r1ss	
zContext.canonicalcCst|dd�}|j||d�S)NT)r�)r/)r�r�)r.rrRr'r'r)r��s!zContext.comparecCst|dd�}|j||d�S)NT)r�)r/)r�r2)r.rrRr'r'r)r2�s zContext.compare_signalcCst|dd�}|j|�S)NT)r�)r�r-)r.rrRr'r'r)r-�szContext.compare_totalcCst|dd�}|j|�S)NT)r�)r�r6)r.rrRr'r'r)r6�szContext.compare_total_magcCst|dd�}|j�S)NT)r�)r�r�)r.rr'r'r)r��s
zContext.copy_abscCst|dd�}t|�S)NT)r�)r�r)r.rr'r'r)�copy_decimal�s
zContext.copy_decimalcCst|dd�}|j�S)NT)r�)r�r�)r.rr'r'r)r�s
zContext.copy_negatecCst|dd�}|j|�S)NT)r�)r�r7)r.rrRr'r'r)r7szContext.copy_signcCs8t|dd�}|j||d�}|tkr0td|��n|SdS)NT)r�)r/zUnable to convert %s to Decimal)r�r�r�rq)r.rrRr�r'r'r)�divide+s
zContext.dividecCs8t|dd�}|j||d�}|tkr0td|��n|SdS)NT)r�)r/zUnable to convert %s to Decimal)r�r�r�rq)r.rrRr�r'r'r)�
divide_intPs
zContext.divide_intcCs8t|dd�}|j||d�}|tkr0td|��n|SdS)NT)r�)r/zUnable to convert %s to Decimal)r�r�r�rq)r.rrRr�r'r'r)r�gs
zContext.divmodcCst|dd�}|j|d�S)NT)r�)r/)r�rU)r.rr'r'r)rU|szContext.expcCst|dd�}|j|||d�S)NT)r�)r/)r�r�)r.rrRr*r'r'r)r��szContext.fmacCst|t�std��|j�S)Nz/is_canonical requires a Decimal as an argument.)r^rrqr:)r.rr'r'r)r:�s	
zContext.is_canonicalcCst|dd�}|j�S)NT)r�)r�r;)r.rr'r'r)r;�szContext.is_finitecCst|dd�}|j�S)NT)r�)r�r")r.rr'r'r)r"�szContext.is_infinitecCst|dd�}|j�S)NT)r�)r�r�)r.rr'r'r)r��s
zContext.is_nancCst|dd�}|j|d�S)NT)r�)r/)r�r<)r.rr'r'r)r<�szContext.is_normalcCst|dd�}|j�S)NT)r�)r�r�)r.rr'r'r)r�szContext.is_qnancCst|dd�}|j�S)NT)r�)r�r=)r.rr'r'r)r=szContext.is_signedcCst|dd�}|j�S)NT)r�)r�r�)r.rr'r'r)r�$s
zContext.is_snancCst|dd�}|j|d�S)NT)r�)r/)r�r>)r.rr'r'r)r>4szContext.is_subnormalcCst|dd�}|j�S)NT)r�)r�r?)r.rr'r'r)r?JszContext.is_zerocCst|dd�}|j|d�S)NT)r�)r/)r�rG)r.rr'r'r)rG[sz
Context.lncCst|dd�}|j|d�S)NT)r�)r/)r�rJ)r.rr'r'r)rJqsz
Context.log10cCst|dd�}|j|d�S)NT)r�)r/)r�rK)r.rr'r'r)rK�szContext.logbcCst|dd�}|j||d�S)NT)r�)r/)r�rU)r.rrRr'r'r)rU�szContext.logical_andcCst|dd�}|j|d�S)NT)r�)r/)r�rW)r.rr'r'r)rW�szContext.logical_invertcCst|dd�}|j||d�S)NT)r�)r/)r�rX)r.rrRr'r'r)rX�szContext.logical_orcCst|dd�}|j||d�S)NT)r�)r/)r�rV)r.rrRr'r'r)rV�szContext.logical_xorcCst|dd�}|j||d�S)NT)r�)r/)r�r�)r.rrRr'r'r)r�szContext.maxcCst|dd�}|j||d�S)NT)r�)r/)r�rY)r.rrRr'r'r)rY&szContext.max_magcCst|dd�}|j||d�S)NT)r�)r/)r�r�)r.rrRr'r'r)r�7szContext.mincCst|dd�}|j||d�S)NT)r�)r/)r�rZ)r.rrRr'r'r)rZRszContext.min_magcCst|dd�}|j|d�S)NT)r�)r/)r�r�)r.rr'r'r)�minuscsz
Context.minuscCs8t|dd�}|j||d�}|tkr0td|��n|SdS)NT)r�)r/zUnable to convert %s to Decimal)r�r�r�rq)r.rrRr�r'r'r)�multiplyts
zContext.multiplycCst|dd�}|j|d�S)NT)r�)r/)r�r])r.rr'r'r)r]�szContext.next_minuscCst|dd�}|j|d�S)NT)r�)r/)r�r^)r.rr'r'r)r^�szContext.next_pluscCst|dd�}|j||d�S)NT)r�)r/)r�r_)r.rrRr'r'r)r_�s zContext.next_towardcCst|dd�}|j|d�S)NT)r�)r/)r�r )r.rr'r'r)r �szContext.normalizecCst|dd�}|j|d�S)NT)r�)r/)r�ra)r.rr'r'r)ra�s/zContext.number_classcCst|dd�}|j|d�S)NT)r�)r/)r�r�)r.rr'r'r)�plus)szContext.pluscCs:t|dd�}|j|||d�}|tkr2td|��n|SdS)NT)r�)r/zUnable to convert %s to Decimal)r�rr�rq)r.rrRr�r�r'r'r)�power:s
Iz
Context.powercCst|dd�}|j||d�S)NT)r�)r/)r�r�)r.rrRr'r'r)r��s7zContext.quantizecCstd�S)Nr�)r)r.r'r'r)rb�sz
Context.radixcCs8t|dd�}|j||d�}|tkr0td|��n|SdS)NT)r�)r/zUnable to convert %s to Decimal)r�r�r�rq)r.rrRr�r'r'r)r��s
zContext.remaindercCst|dd�}|j||d�S)NT)r�)r/)r�r�)r.rrRr'r'r)r��szContext.remainder_nearcCst|dd�}|j||d�S)NT)r�)r/)r�rf)r.rrRr'r'r)rfszContext.rotatecCst|dd�}|j|�S)NT)r�)r�r#)r.rrRr'r'r)r#1szContext.same_quantumcCst|dd�}|j||d�S)NT)r�)r/)r�rg)r.rrRr'r'r)rgIszContext.scalebcCst|dd�}|j||d�S)NT)r�)r/)r�r�)r.rrRr'r'r)r�\sz
Context.shiftcCst|dd�}|j|d�S)NT)r�)r/)r�r,)r.rr'r'r)r,zszContext.sqrtcCs8t|dd�}|j||d�}|tkr0td|��n|SdS)NT)r�)r/zUnable to convert %s to Decimal)r�r�r�rq)r.rrRr�r'r'r)�subtract�s
zContext.subtractcCst|dd�}|j|d�S)NT)r�)r/)r�r�)r.rr'r'r)r��szContext.to_eng_stringcCst|dd�}|j|d�S)NT)r�)r/)r�r�)r.rr'r'r)�
to_sci_string�szContext.to_sci_stringcCst|dd�}|j|d�S)NT)r�)r/)r�r&)r.rr'r'r)r&�szContext.to_integral_exactcCst|dd�}|j|d�S)NT)r�)r/)r�r�)r.rr'r'r)r��szContext.to_integral_value)	NNNNNNNNN)N)rP)N)Wr1r2r3r�r�r�r�r�rir�rHr�r'rGrkrcr[r�r�r�r�r�r(r�r�rgr�r�r1r�r2r-r6r�r�r�r7r�r�r�rUr�r:r;r"r�r<r�r=r�r>r?rGrJrKrUrWrXrVr�rYr�rZr�r�r]r^r_r rar�r�r�rbr�r�rfr#rgr�r,r�r�r�r&r�r�r'r'r'r)rBs�
"



$#


%
 #2
P:&" c@s&eZdZd	Zd
dd�Zdd�ZeZdS)rhr<rTrUNcCsf|dkrd|_d|_d|_nFt|t�rD|j|_t|j�|_|j|_n|d|_|d|_|d|_dS)Nr%r-r+)r<rTrUr^rr6r7rN)r.rsr'r'r)r�s



z_WorkRep.__init__cCsd|j|j|jfS)Nz(%r, %r, %r))r<rTrU)r.r'r'r)r�(sz_WorkRep.__repr__)r<rTrU)N)r1r2r3r{r�r�r�r'r'r'r)rhs
rhcCs�|j|jkr|}|}n|}|}tt|j��}tt|j��}|jtd||d�}||jd|krpd|_||_|jd|j|j9_|j|_||fS)Nr-r+r�r�)rUrer_rTr�)r�r�r?Ztmpr�Ztmp_lenZ	other_lenrUr'r'r)r�/sr�cCsb|dkrdS|dkr |d|Stt|��}t|�t|jd��}||krPdS|d|SdS)Nr%r�rP)r_rgre�rstrip)r4r�Zstr_nZval_nr'r'r)rOsrcCsF|dks|dkrtd��d}x$||kr@||||d?}}qW|S)Nr%z3Both arguments to _sqrt_nearest should be positive.r-)rk)r4rrRr'r'r)�
_sqrt_nearestds
r�cCs2d|>||?}}|d||d@|d@|kS)Nr-r+r')rr�rRr�r'r'r)�_rshift_nearestssr�cCs&t||�\}}|d||d@|kS)Nr+r-)r�)rrRr�r�r'r'r)�_div_nearest{sr�rc		Cs�||}d}xn||kr*t|�||>|ksF||krzt|�||?|krzt||d>|t||t||�|��}|d7}qWtdtt|��d|�}t||�}t||�}x0t|ddd�D]}t||�t|||�}q�Wt|||�S)Nr%r-r�rZi����r�)rgr�r�r�rTrer_r�)	r�M�Lr�R�TZyshift�wrr'r'r)�_ilog�s

r�c
Cs�|d7}tt|��}||||dk}|dkr�d|}|||}|dkrZ|d|9}nt|d|�}t||�}t|�}t|||�}||}	nd}t|d|�}	t|	|d�S)Nr+r-r%r�r)rer_r�r��
_log10_digits)
r*r�r
r+r}r�r�log_dZlog_10Zlog_tenpowerr'r'r)rI�s 

rIc	Cs�|d7}tt|��}||||dk}|dkrr|||}|dkrR|d|9}nt|d|�}t|d|�}nd}|r�ttt|���d}||dkr�t|t||�d|�}q�d}nd}t||d�S)Nr+r-r%r�r)rer_r�r�rgr�)	r*r�r
r+r}rr�rZ	f_log_tenr'r'r)rF�s"rFc@seZdZdd�Zdd�ZdS)�
_Log10MemoizecCs
d|_dS)NZ/23025850929940456840179914546843642076011014886)rw)r.r'r'r)r�sz_Log10Memoize.__init__cCs�|dkrtd��|t|j�kr�d}xLd||d}tttd||�d��}||d�d|krdP|d7}q$W|jd�dd	�|_t|jd|d��S)
Nr%zp should be nonnegativerZr�r+rrPr-r�)rkrerwr_r�r�r�rT)r.r
rr�rwr'r'r)�	getdigitss	z_Log10Memoize.getdigitsN)r1r2r3r�r�r'r'r'r)r�sr�c	Cs�t||>|�}tdtt|��d|�}t||�}||>}x.t|ddd�D]}t|||||�}qRWx6t|ddd	�D]"}||d>}t||||�}q�W||S)
Nr�rZr-r%r+i����r�r�r�)rrTrer_r�r�)	rr�r�r�r�rZMshiftr�rr'r'r)�_iexp&s
r�c	Cs�|d7}td|tt|��d�}||}||}|dkrH|d|}n|d|}t|t|��\}}t|d|�}tt|d|�d�||dfS)Nr+r%r-r�i�rZ)r�rer_r�r�r�r�)	r*r�r
rr�r�ZcshiftZquotrr'r'r)r8Ksr8cCs�ttt|���|}t||||d�}||}|dkrJ||d|}nt||d|�}|dkr�tt|��|dk|dkkr�d|ddd|}	}
q�d|d|}	}
n,t||d|d�\}	}
t|	d�}	|
d7}
|	|
fS)Nr-r%r�)rer_rgrFr�r8)rr
rrr
rRZlxcr�Zpcr�rUr'r'r)ros
rr�F�5�(�r@�r�rx)	r��2�3�4�5�6�7�8r=cCs0|dkrtd��t|�}dt|�||dS)Nr%z0The argument to _log10_lb should be nonnegative.r)rkr_re)r*Z
correctionZstr_cr'r'r)r	�sr	cCsLt|t�r|St|t�r t|�S|r8t|t�r8tj|�S|rHtd|��tS)NzUnable to convert %s to Decimal)r^rrTrorprqr�)r�r�Zallow_floatr'r'r)r��s


r�cCs�t|t�r||fSt|tj�rR|jsDt|jtt|j	�|j
�|j�}|t|j�fS|rrt|tj
�rr|jdkrr|j}t|t�r�t�}|r�d|jt<n|jtd�|tj|�fSttfS)Nr%r-z;strict semantics for mixing floats and Decimals are enabled)r^r�_numbersZRationalrOr5r6r_rTr7�denominatorrN�	numeratorZComplexr�r�rorrrrcrpr�)r.r�r�r/r'r'r)r��s$

r�ri?B)r?r>rrr@r!r�r�r[)r?r>rra�        # A numeric string consists of:
#    \s*
    (?P<sign>[-+])?              # an optional sign, followed by either...
    (
        (?=\d|\.\d)              # ...a number (with at least one digit)
        (?P<int>\d*)             # having a (possibly empty) integer part
        (\.(?P<frac>\d*))?       # followed by an optional fractional part
        (E(?P<exp>[-+]?\d+))?    # followed by an optional exponent, or...
    |
        Inf(inity)?              # ...an infinity, or...
    |
        (?P<signal>s)?           # ...an (optionally signaling)
        NaN                      # NaN
        (?P<diag>\d*)            # with (possibly empty) diagnostic info.
    )
#    \s*
    \Z
z0*$z50*$z�\A
(?:
   (?P<fill>.)?
   (?P<align>[<>=^])
)?
(?P<sign>[-+ ])?
(?P<alt>\#)?
(?P<zeropad>0)?
(?P<minimumwidth>(?!0)\d+)?
(?P<thousands_sep>,)?
(?:\.(?P<precision>0|(?!0)\d+))?
(?P<type>[eEfFgGn%])?
\Z
cCs�tj|�}|dkrtd|��|j�}|d}|d}|ddk	|d<|drv|dk	rbtd|��|dk	rvtd|��|p|d|d<|p�d|d<|d	dkr�d
|d	<t|dp�d�|d<|d
dk	r�t|d
�|d
<|d
dkr�|ddks�|ddkr�d|d
<|ddk�rfd|d<|dk�r&tj�}|ddk	�r@td|��|d|d<|d|d<|d|d<n*|ddk�r|d|d<ddg|d<d|d<|S)NzInvalid format specifier: �fill�align�zeropadz7Fill character conflicts with '0' in format specifier: z2Alignment conflicts with '0' in format specifier: � �>r<rS�minimumwidthrPrrr%rjZgGnr-r4rp�
thousands_sepzJExplicit thousands separator conflicts with 'n' type in format specifier: �grouping�
decimal_pointrRrZr�)�_parse_format_specifier_regex�matchrk�	groupdictrT�_locale�
localeconv)�format_specrnrtZformat_dictr�r�r'r'r)rtDsN

rtc	Cs�|d}|d}||t|�t|�}|d}|dkrF|||}nj|dkr\|||}nT|dkrr|||}n>|dkr�t|�d}|d|�||||d�}ntd	��|S)
Nr�r�r��<r��=�^r+zUnrecognised alignment field)rerk)	r<ryrxr�r�Zpaddingr�r�Zhalfr'r'r)rv�s"rvcCspddlm}m}|sgS|ddkrJt|�dkrJ||dd�||d��S|d	tjkrd|dd
�Std��dS)Nr%)�chain�repeatr-r+z unrecognised format for groupingr�r�r�r�r�)�	itertoolsr�r�rer��CHAR_MAXrk)r�r�r�r'r'r)�_group_lengths�s
r�cCs�|d}|d}g}x�t|�D]�}|dkr2td��ttt|�|d�|�}|jd|t|�||d��|d|�}||8}|r�|dkr�P|t|�8}qWtt|�|d�}|jd|t|�||d��|jt|��S)Nr�r�r%zgroup length should be positiver-rP)r�rkr�r�rerlrm�reversed)rwrx�	min_width�sepr��groupsr+r'r'r)�_insert_thousands_sep�s $$r�cCs$|rdS|ddkr|dSdSdS)NrSr<z +rRr')�is_negativerxr'r'r)ru�s
rucCs�t||�}|s|dr"|d|}|dks6|ddkr\ddddd�|d}|d	j||�7}|dd
krp|d
7}|dr�|dt|�t|�}nd}t|||�}t||||�S)
NZaltr�r%rjrsr�r�)r�r�rqrpz{0}{1:+}ror�r�)ru�formatrer�rv)r�rurvrUrxr<Zecharr�r'r'r)rw�s
rwZInfz-Infr�ll����l������N�Zoi���)N)F)r%)r)r)FF)Fi���)N)r-r�)|�__all__r1rC�__version__Z__libmpdec_version__ZmathryZnumbersr�rD�collectionsr&Z_namedtupler�ImportErrorrrrrrrrrr$�maxsizer r!r"r#�ArithmeticErrorrrr	r�ZeroDivisionErrorr
rrrrrr
rrrqrrr�r�rIr\rArErK�hasattrrJrFrrrrr5�Number�registerrMrrhr�rTr|rrr�r�r�r�rIrFr�r�r�r�r8rr	r�r�rrr�re�compile�VERBOSE�
IGNORECASEr�r`r�r��DOTALLr�Zlocaler�rtrvr�r�rurwrErDr9r4rr3r;�	hash_info�modulusr�r`r�r�r�r�r�r'r'r'r)�<module>us~


&



.

^

0",#
%$+
	

*

P
%
)

Hacked By AnonymousFox1.0, Coded By AnonymousFox