$50 GRAYBYTE WORDPRESS FILE MANAGER $53

U

i�f(�@s�dZd
dl
mZmZ
dddddgZGdd�ded	�ZGd
d�de�Ze�e�

Gdd�de�Z	e	�e
�

Gdd�de	�ZGd
d�de�Ze�e
�

dS)z~Abstract Base Classes (ABCs) for numbers, according to PEP 3141.

TODO: Fill out more detailed documentation on the operators.�)�ABCMeta�abstractmethod�Number�Complex�Real�Rational�Integralc
@seZ
dZd
ZdZdZdS)rz�All numbers inherit from this class.

    If you just want to check if an argument x is a number, without
    caring what kind, use isinstance(x, Number).
    �N)�__name__�
__module__�__qualname__�__doc__�	__slots__�__hash__r	r	r	�,/opt/alt/python38/lib64/python3.8/numbers.pyrs
)
�	metaclassc@s�eZ
dZd
ZdZedd��
Zdd�Zeedd��
�
Z	eed	d
��
�
Z
edd��
Zed
d��
Zedd��
Z
edd��
Zdd�Zdd�Zedd��
Zedd��
Zedd��
Zedd��
Zedd ��
Zed!d"��
Zed#d$��
Zed%d&��
Zed'd(��
Zd)S)*rab
Complex defines the operations that work on the builtin complex type.

    In short, those are: a conversion to complex, .real, .imag, +, -,
    *, /, abs(), .conjugate, ==, and !=.

    If it is given heterogeneous arguments, and doesn't have special
    knowledge about them, it should fall back to the builtin complex
    type as described below.
    r	c


Csd
S)z<Return a builtin complex instance. Called for complex(self).Nr	�
�selfr	r	r�__complex__-szComplex.__complex__c

Cs|d
kS)z)True if self != 0. Called for bool(self).r
r	rr	r	r�__bool__1szComplex.__bool__c


Cst�
d
S)zXRetrieve the real component of this number.

        This should subclass Real.
        N�
�NotImplementedErrorrr	r	r�real5szComplex.realc


Cst�
d
S)z]Retrieve the imaginary component of this number.

        This should subclass Real.
        Nrrr	r	r�imag>szComplex.imagc
Cst�
d
S)zself + otherNr�r�otherr	r	r�__add__GszComplex.__add__c
Cst�
d
S)zother + selfNrrr	r	r�__radd__LszComplex.__radd__c


Cst�
d
S)z-selfNrrr	r	r�__neg__QszComplex.__neg__c


Cst�
d
S)z+selfNrrr	r	r�__pos__VszComplex.__pos__cCs
||
S)
zself - otherr	rr	r	r�__sub__[szComplex.__sub__cCs
||
S)
zother - selfr	rr	r	r�__rsub___szComplex.__rsub__c
Cst�
d
S)zself * otherNrrr	r	r�__mul__cszComplex.__mul__c
Cst�
d
S)zother * selfNrrr	r	r�__rmul__hszComplex.__rmul__c
Cst�
d
S)z5self / other: Should promote to float when necessary.Nrrr	r	r�__truediv__mszComplex.__truediv__c
Cst�
d
S)zother / selfNrrr	r	r�__rtruediv__rszComplex.__rtruediv__c
Cst�
d
S)zBself**exponent; should promote to float or complex when necessary.Nr)r�exponentr	r	r�__pow__wszComplex.__pow__c
Cst�
d
S)zbase ** selfNr)r�baser	r	r�__rpow__|szComplex.__rpow__c


Cst�
d
S)z7Returns the Real distance from 0. Called for abs(self).Nrrr	r	r�__abs__�szComplex.__abs__c


Cst�
d
S)z$(x+y*i).conjugate() returns (x-y*i).Nrrr	r	r�	conjugate�szComplex.conjugatec
Cst�
d
S)z
self == otherNrrr	r	r�__eq__�szComplex.__eq__N)r
rrr
rrrr�propertyrrrrrrr r!r"r#r$r%r'r)r*r+r,r	r	r	rr sN
































c@s�eZ
dZd
ZdZedd��
Zedd��
Zedd��
Zed	d
��
Z	ed&dd
�
�
Z
dd�Zdd�Zedd��
Z
edd��
Zedd��
Zedd��
Zedd��
Zedd��
Zdd�Zed d!��
Zed"d#��
Zd$d%�ZdS)'rz�To Complex, Real adds the operations that work on real numbers.

    In short, those are: a conversion to float, trunc(), divmod,
    %, <, <=, >, and >=.

    Real also provides defaults for the derived operations.
    r	c


Cst�
d
S)zTAny Real can be converted to a native float object.

        Called for float(self).Nrrr	r	r�	__float__�szReal.__float__c


Cst�
d
S)aG
trunc(self): Truncates self to an Integral.

        Returns an Integral i such that:
          * i>0 iff self>0;
          * abs(i) <= abs(self);
          * for any Integral j satisfying the first two conditions,
            abs(i) >= abs(j) [i.e. i has "maximal" abs among those].
        i.e. "truncate towards 0".
        Nrrr	r	r�	__trunc__�szReal.__trunc__c


Cst�
d
S)z$Finds the greatest Integral <= self.Nrrr	r	r�	__floor__�szReal.__floor__c


Cst�
d
S)z!Finds the least Integral >= self.Nrrr	r	r�__ceil__�sz
Real.__ceil__Nc
Cst�
d
S)z�Rounds self to ndigits decimal places, defaulting to 0.

        If ndigits is omitted or None, returns an Integral, otherwise
        returns a Real. Rounds half toward even.
        Nr)rZndigitsr	r	r�	__round__�szReal.__round__cCs||
||
fS)
z�divmod(self, other): The pair (self // other, self % other).

        Sometimes this can be computed faster than the pair of
        operations.
        r	rr	r	r�
__divmod__�szReal.__divmod__cCs|
||
|fS)
z�divmod(other, self): The pair (self // other, self % other).

        Sometimes this can be computed faster than the pair of
        operations.
        r	rr	r	r�__rdivmod__�szReal.__rdivmod__c
Cst�
d
S)z)self // other: The floor() of self/other.Nrrr	r	r�__floordiv__�szReal.__floordiv__c
Cst�
d
S)z)other // self: The floor() of other/self.Nrrr	r	r�
__rfloordiv__�szReal.__rfloordiv__c
Cst�
d
S)zself % otherNrrr	r	r�__mod__�szReal.__mod__c
Cst�
d
S)zother % selfNrrr	r	r�__rmod__�sz
Real.__rmod__c
Cst�
d
S)zRself < other

        < on Reals defines a total ordering, except perhaps for NaN.Nrrr	r	r�__lt__�szReal.__lt__c
Cst�
d
S)z
self <= otherNrrr	r	r�__le__�szReal.__le__c

Cstt
|�
�
S)
z(complex(self) == complex(float(self), 0))�complex�floatrr	r	rr�szReal.__complex__c


Cs|
S)
z&Real numbers are their real component.r	rr	r	rr�sz	Real.realc


Csd
S)z)Real numbers have no imaginary component.r
r	rr	r	rr�sz	Real.imagc


Cs|
S)
zConjugate is a no-op for Reals.r	rr	r	rr+
szReal.conjugate)
N)r
rrr
rrr.r/r0r1r2r3r4r5r6r7r8r9r:rr-rrr+r	r	r	rr�s@

























c@s<eZ
dZd
ZdZeedd��
�
Zeedd��
�
Zdd�Z	d	S)
rz6.numerator and .denominator should be in lowest terms.r	c


Cst�
dS�
Nrrr	r	r�	numerator
szRational.numeratorc


Cst�
dSr=rrr	r	r�denominator
szRational.denominatorc

Cs|j|j
S)
a
float(self) = self.numerator / self.denominator

        It's important that this conversion use the integer's "true"
        division rather than casting one side to float before dividing
        so that ratios of huge integers convert without overflowing.

        )r>r?rr	r	rr.
szRational.__float__N)
r
rrr
rr-rr>r?r.r	r	r	rr
s




c@s�eZ
dZd
ZdZedd��
Zdd�Zed&dd	�
�
Zed
d��
Z	edd
��
Z
edd��
Zedd��
Zedd��
Z
edd��
Zedd��
Zedd��
Zedd��
Zedd��
Zedd��
Zd d!�Zed"d#��
Zed$d%��
ZdS)'rz@Integral adds a conversion to int and the bit-string operations.r	c


Cst�
d
S)z	int(self)Nrrr	r	r�__int__+
szIntegral.__int__c

Cst|�
S)
z6Called whenever an index is needed, such as in slicing)
�intrr	r	r�	__index__0
szIntegral.__index__Nc
Cst�
d
S)a4
self ** exponent % modulus, but maybe faster.

        Accept the modulus argument if you want to support the
        3-argument version of pow(). Raise a TypeError if exponent < 0
        or any argument isn't Integral. Otherwise, just implement the
        2-argument version described in Complex.
        Nr)rr&�modulusr	r	rr'4
s	zIntegral.__pow__c
Cst�
d
S)z
self << otherNrrr	r	r�
__lshift__?
szIntegral.__lshift__c
Cst�
d
S)z
other << selfNrrr	r	r�__rlshift__D
szIntegral.__rlshift__c
Cst�
d
S)z
self >> otherNrrr	r	r�
__rshift__I
szIntegral.__rshift__c
Cst�
d
S)z
other >> selfNrrr	r	r�__rrshift__N
szIntegral.__rrshift__c
Cst�
d
S)zself & otherNrrr	r	r�__and__S
szIntegral.__and__c
Cst�
d
S)zother & selfNrrr	r	r�__rand__X
szIntegral.__rand__c
Cst�
d
S)zself ^ otherNrrr	r	r�__xor__]
szIntegral.__xor__c
Cst�
d
S)zother ^ selfNrrr	r	r�__rxor__b
szIntegral.__rxor__c
Cst�
d
S)zself | otherNrrr	r	r�__or__g
szIntegral.__or__c
Cst�
d
S)zother | selfNrrr	r	r�__ror__l
szIntegral.__ror__c


Cst�
d
S)z~selfNrrr	r	r�
__invert__q
szIntegral.__invert__c

Cstt
|�
�
S)
zfloat(self) == float(int(self)))r<rArr	r	rr.w
szIntegral.__float__c


Cs|
S)
z"Integers are their own numerators.r	rr	r	rr>{
szIntegral.numeratorc


Csd
S)z!Integers have a denominator of 1.�
r	rr	r	rr?�
szIntegral.denominator)
N)r
rrr
rrr@rBr'rDrErFrGrHrIrJrKrLrMrNr.r-r>r?r	r	r	rr&
sD





























N)r
�abcrr�__all__rr�registerr;rr<rrrAr	r	r	r�<module>sp
u
_