ó
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L\¬Qc @ sí d Z d d l m Z d d l m Z m Z m Z d d d d d g Z d e f d YZ d e f d
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YZ
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j e d e
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f d YZ e j e d e f d YZ d e f d YZ e j e e j e d S( s~ Abstract Base Classes (ABCs) for numbers, according to PEP 3141.
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TODO: Fill out more detailed documentation on the operators.iÿÿÿÿ( t division( t ABCMetat abstractmethodt abstractpropertyt Numbert Complext Realt Rationalt Integralc B s e Z d Z e Z d Z d Z RS( s All numbers inherit from this class.
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If you just want to check if an argument x is a number, without
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caring what kind, use isinstance(x, Number).
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( N( t __name__t
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__module__t __doc__R t __metaclass__t __slots__t Nonet __hash__( ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyR s c B sF e Z d Z d Z e d Z d Z e d Z e d Z e d Z
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e d Z e d Z e d Z d Z d
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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 RS( sa Complex defines the operations that work on the builtin complex type.
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In short, those are: a conversion to complex, .real, .imag, +, -,
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*, /, abs(), .conjugate, ==, and !=.
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If it is given heterogenous arguments, and doesn't have special
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knowledge about them, it should fall back to the builtin complex
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type as described below.
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c C s d S( s< Return a builtin complex instance. Called for complex(self).N( ( t self( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __complex__/ s c C s
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| d k S( s) True if self != 0. Called for bool(self).i ( ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __nonzero__4 s c C s
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t d S( sX Retrieve the real component of this number.
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This should subclass Real.
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N( t NotImplementedError( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt real8 s c C s
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t d S( s] Retrieve the imaginary component of this number.
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This should subclass Real.
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N( R ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt imag@ s c C s
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t d S( s self + otherN( R ( R t other( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __add__H s c C s
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t d S( s other + selfN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __radd__M s c C s
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t d S( s -selfN( R ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __neg__R s c C s
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t d S( s +selfN( R ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __pos__W s c C s | | S( s self - other( ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __sub__\ s c C s | | S( s other - self( ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __rsub__` s c C s
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t d S( s self * otherN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __mul__d s c C s
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t d S( s other * selfN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __rmul__i s c C s
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t d S( sP self / other without __future__ division
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May promote to float.
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N( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __div__n s c C s
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t d S( s( other / self without __future__ divisionN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __rdiv__v s c C s
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t d S( s` self / other with __future__ division.
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Should promote to float when necessary.
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N( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __truediv__{ s c C s
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t d S( s% other / self with __future__ divisionN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __rtruediv__ s c C s
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t d S( sB self**exponent; should promote to float or complex when necessary.N( R ( R t exponent( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __pow__ s c C s
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t d S( s base ** selfN( R ( R t base( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __rpow__ s c C s
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t d S( s7 Returns the Real distance from 0. Called for abs(self).N( R ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __abs__ s c C s
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t d S( s$ (x+y*i).conjugate() returns (x-y*i).N( R ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt conjugate s c C s
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t d S( s self == otherN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __eq__ s c C s | | k S( s self != other( ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __ne__¡ s ( ( R R
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R R R R R R R R R R R R R R R R R R R! R" R$ R& R' R( R) R* ( ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyR " s0 c B sÎ e Z d Z d Z e d Z e d Z d Z d Z e d Z e d Z
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e d Z e d Z e d Z e d
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Z d Z e d Z e d Z d Z RS( sÜ To Complex, Real adds the operations that work on real numbers.
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In short, those are: a conversion to float, trunc(), divmod,
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%, <, <=, >, and >=.
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Real also provides defaults for the derived operations.
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c C s
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t d S( sT Any Real can be converted to a native float object.
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Called for float(self).N( R ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __float__´ s c C s
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t d S( sG trunc(self): Truncates self to an Integral.
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Returns an Integral i such that:
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* i>0 iff self>0;
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* abs(i) <= abs(self);
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* for any Integral j satisfying the first two conditions,
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abs(i) >= abs(j) [i.e. i has "maximal" abs among those].
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i.e. "truncate towards 0".
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N( R ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __trunc__» s c C s | | | | f S( s divmod(self, other): The pair (self // other, self % other).
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Sometimes this can be computed faster than the pair of
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operations.
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( ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt
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__divmod__È s c C s | | | | f S( s divmod(other, self): The pair (self // other, self % other).
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Sometimes this can be computed faster than the pair of
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operations.
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( ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __rdivmod__Ð s c C s
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t d S( s) self // other: The floor() of self/other.N( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __floordiv__Ø s c C s
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t d S( s) other // self: The floor() of other/self.N( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __rfloordiv__Ý s c C s
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t d S( s self % otherN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __mod__â s c C s
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t d S( s other % selfN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __rmod__ç s c C s
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t d S( sR self < other
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< on Reals defines a total ordering, except perhaps for NaN.N( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __lt__ì s c C s
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t d S( s self <= otherN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __le__ó s c C s t t | S( s( complex(self) == complex(float(self), 0)( t complext float( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyR ù s c C s |
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S( s& Real numbers are their real component.( ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyR ý s c C s d S( s) Real numbers have no imaginary component.i ( ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyR s c C s |
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S( s Conjugate is a no-op for Reals.( ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyR( s ( ( R R
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R R R R+ R, R- R. R/ R0 R1 R2 R3 R4 R t propertyR R R( ( ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyR © s c B s; e Z d Z d Z e d Z e d Z d Z RS( s6 .numerator and .denominator should be in lowest terms.c C s
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t d S( N( R ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt numerator s c C s
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t d S( N( R ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt denominator s c C s | j | j S( s float(self) = self.numerator / self.denominator
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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.
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( R8 R9 ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyR+ s ( ( R R
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R R R R8 R9 R+ ( ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyR s
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c B s
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e Z d Z d Z e d Z d Z e d d Z e d Z e d Z
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e d Z e d Z e d Z e d Z e d
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Z e d Z e d Z e d Z e d Z d Z e d Z e d Z RS( sA Integral adds a conversion to long and the bit-string operations.c C s
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t d S( s
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long(self)N( R ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __long__, s c C s
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t | S( s6 Called whenever an index is needed, such as in slicing( t long( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __index__1 s c C s
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t d S( s4 self ** exponent % modulus, but maybe faster.
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|
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.
|
N( R ( R R# t modulus( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyR$ 5 s c C s
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t d S( s self << otherN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt
|
__lshift__@ s c C s
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t d S( s other << selfN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __rlshift__E s c C s
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t d S( s self >> otherN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt
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__rshift__J s c C s
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t d S( s other >> selfN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __rrshift__O s c C s
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t d S( s self & otherN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __and__T s c C s
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t d S( s other & selfN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __rand__Y s c C s
|
t d S( s self ^ otherN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __xor__^ s c C s
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t d S( s other ^ selfN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __rxor__c s c C s
|
t d S( s self | otherN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __or__h s c C s
|
t d S( s other | selfN( R ( R R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt __ror__m s c C s
|
t d S( s ~selfN( R ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt
|
__invert__r s c C s t t | S( s float(self) == float(long(self))( R6 R; ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyR+ x s c C s |
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S( s" Integers are their own numerators.( ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyR8 | s c C s d S( s! Integers have a denominator of 1.i ( ( R ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyR9 s ( N( R R
|
R R R R: R< R R$ R> R? R@ RA RB RC RD RE RF RG RH R+ R7 R8 R9 ( ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyR ' s(
|
N( R t
|
__future__R t abcR R R t __all__t objectR R t registerR5 R R6 R R t intR; ( ( ( sO /tmp/ndk-User/buildhost/install/prebuilt/darwin-x86_64/lib/python2.7/numbers.pyt <module> s b _
|
