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��YZeje�eje�dS(s~Abstract Base Classes (ABCs) for numbers, according to PEP 3141.

TODO: Fill out more detailed documentation on the operators.i����(tdivision(tABCMetatabstractmethodtabstractpropertytNumbertComplextRealtRationaltIntegralcB s eZdZeZdZdZRS(s�All numbers inherit from this class.

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��Zed��Zed��Zed��Zed��Zed��Zed��Zed��Zed��Zd�ZRS(saComplex defines the operations that work on the builtin complex type.

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    cC sdS(s<Return a builtin complex instance. Called for complex(self).N((tself((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__complex__/tcC s
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t�dS(sXRetrieve the real component of this number.

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t�dS(s]Retrieve the imaginary component of this number.

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t�dS(sself + otherN(R(Rtother((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__add__HscC s
t�dS(sother + selfN(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__radd__MscC s
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t�dS(sself * otherN(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__mul__dscC s
t�dS(sother * selfN(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__rmul__iscC s
t�dS(sPself / other without __future__ division

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t�dS(s`self / other with __future__ division.

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t�dS(s%other / self with __future__ divisionN(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__rtruediv__�scC s
t�dS(sBself**exponent; should promote to float or complex when necessary.N(R(Rtexponent((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__pow__�scC s
t�dS(sbase ** selfN(R(Rtbase((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__rpow__�scC s
t�dS(s7Returns the Real distance from 0. Called for abs(self).N(R(R((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__abs__�scC s
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self == otherN(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__eq__�scC s||kS(s
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RRRRRRRRRRRRRRR R!R"R#R%R'R(R)R*R+(((s,/opt/alt/python27/lib64/python2.7/numbers.pyR"s0				cB s�eZdZdZed��Zed��Zd�Zd�Zed��Z	ed��Z
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��Zd�ZRS(s�To Complex, Real adds the operations that work on real numbers.

    In short, those are: a conversion to float, trunc(), divmod,
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    cC s
t�dS(sTAny Real can be converted to a native float object.

        Called for float(self).N(R(R((s,/opt/alt/python27/lib64/python2.7/numbers.pyt	__float__�scC s
t�dS(sGtrunc(self): Truncates self to an Integral.

        Returns an Integral i such that:
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          * abs(i) <= abs(self);
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            abs(i) >= abs(j) [i.e. i has "maximal" abs among those].
        i.e. "truncate towards 0".
        N(R(R((s,/opt/alt/python27/lib64/python2.7/numbers.pyt	__trunc__�scC s||||fS(s�divmod(self, other): The pair (self // other, self % other).

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        ((RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__rdivmod__�scC s
t�dS(s)self // other: The floor() of self/other.N(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__floordiv__�scC s
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t�dS(sself % otherN(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__mod__�scC s
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t�dS(sRself < other

        < on Reals defines a total ordering, except perhaps for NaN.N(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__lt__�scC s
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self <= otherN(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__le__�scC stt|��S(s(complex(self) == complex(float(self), 0)(tcomplextfloat(R((s,/opt/alt/python27/lib64/python2.7/numbers.pyR�scC s|
S(s&Real numbers are their real component.((R((s,/opt/alt/python27/lib64/python2.7/numbers.pyR�scC sdS(s)Real numbers have no imaginary component.i((R((s,/opt/alt/python27/lib64/python2.7/numbers.pyRscC s|
S(sConjugate is a no-op for Reals.((R((s,/opt/alt/python27/lib64/python2.7/numbers.pyR)s((R	R
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			cB s;eZdZdZed��Zed��Zd�ZRS(s6.numerator and .denominator should be in lowest terms.cC s
t�dS(N(R(R((s,/opt/alt/python27/lib64/python2.7/numbers.pyt	numeratorscC s
t�dS(N(R(R((s,/opt/alt/python27/lib64/python2.7/numbers.pytdenominatorscC s|j|jS(sfloat(self) = self.numerator / self.denominator

        It's important that this conversion use the integer's "true"
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        (R9R:(R((s,/opt/alt/python27/lib64/python2.7/numbers.pyR,s((R	R
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��Zed��Zd�Zed��Zed��ZRS(sAIntegral adds a conversion to long and the bit-string operations.cC s
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long(self)N(R(R((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__long__,scC s
t|�S(s6Called whenever an index is needed, such as in slicing(tlong(R((s,/opt/alt/python27/lib64/python2.7/numbers.pyt	__index__1scC s
t�dS(s4self ** exponent % modulus, but maybe faster.

        Accept the modulus argument if you want to support the
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        N(R(RR$tmodulus((s,/opt/alt/python27/lib64/python2.7/numbers.pyR%5s	cC s
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self << otherN(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt
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other << selfN(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__rlshift__EscC s
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self >> otherN(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt
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other >> selfN(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__rrshift__OscC s
t�dS(sself & otherN(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__and__TscC s
t�dS(sother & selfN(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__rand__YscC s
t�dS(sself ^ otherN(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__xor__^scC s
t�dS(sother ^ selfN(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__rxor__cscC s
t�dS(sself | otherN(R(RR((s,/opt/alt/python27/lib64/python2.7/numbers.pyt__or__hscC s
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t�dS(s~selfN(R(R((s,/opt/alt/python27/lib64/python2.7/numbers.pyt
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S(s"Integers are their own numerators.((R((s,/opt/alt/python27/lib64/python2.7/numbers.pyR9|scC sdS(s!Integers have a denominator of 1.i((R((s,/opt/alt/python27/lib64/python2.7/numbers.pyR:�s(N(R	R
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