Viewing File: /opt/alt/python35/lib64/python3.5/__pycache__/numbers.cpython-35.opt-1.pyc



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

TODO: Fill out more detailed documentation on the operators.)ABCMetaabstractmethodNumberComplexRealRationalIntegralc@s"eZdZdZfZdZdS)rzAll numbers inherit from this class.

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    N)__name__
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eddZddZddZeddZeddZeddZeddZeddZed d!Zed"d#Zed$d%Zed&d'Zd(S))raaComplex defines the operations that work on the builtin complex type.

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    cCsdS)z<Return a builtin complex instance. Called for complex(self).Nr)selfrrr__complex__-szComplex.__complex__cCs
|dkS)z)True if self != 0. Called for bool(self).rr)rrrr__bool__1szComplex.__bool__cCs
tdS)zXRetrieve the real component of this number.

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tdS)z]Retrieve the imaginary component of this number.

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        N)r)rrrrimag>szComplex.imagcCs
tdS)zself + otherN)r)rotherrrr__add__GszComplex.__add__cCs
tdS)zother + selfN)r)rrrrr__radd__LszComplex.__radd__cCs
tdS)z-selfN)r)rrrr__neg__QszComplex.__neg__cCs
tdS)z+selfN)r)rrrr__pos__VszComplex.__pos__cCs	||S)zself - otherr)rrrrr__sub__[szComplex.__sub__cCs	||S)zother - selfr)rrrrr__rsub___szComplex.__rsub__cCs
tdS)zself * otherN)r)rrrrr__mul__cszComplex.__mul__cCs
tdS)zother * selfN)r)rrrrr__rmul__hszComplex.__rmul__cCs
tdS)z5self / other: Should promote to float when necessary.N)r)rrrrr__truediv__mszComplex.__truediv__cCs
tdS)zother / selfN)r)rrrrr__rtruediv__rszComplex.__rtruediv__cCs
tdS)zBself**exponent; should promote to float or complex when necessary.N)r)rexponentrrr__pow__wszComplex.__pow__cCs
tdS)zbase ** selfN)r)rbaserrr__rpow__|szComplex.__rpow__cCs
tdS)z7Returns the Real distance from 0. Called for abs(self).N)r)rrrr__abs__szComplex.__abs__cCs
tdS)z$(x+y*i).conjugate() returns (x-y*i).N)r)rrrr	conjugateszComplex.conjugatecCs
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S)%rzTo Complex, Real adds the operations that work on real numbers.

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    %, <, <=, >, and >=.

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tdS)zTAny Real can be converted to a native float object.

        Called for float(self).N)r)rrrr	__float__szReal.__float__cCs
tdS)aGtrunc(self): Truncates self to an Integral.

        Returns an Integral i such that:
          * i>0 iff self>0;
          * abs(i) <= abs(self);
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            abs(i) >= abs(j) [i.e. i has "maximal" abs among those].
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        N)r)rrrr	__trunc__szReal.__trunc__cCs
tdS)z$Finds the greatest Integral <= self.N)r)rrrr	__floor__szReal.__floor__cCs
tdS)z!Finds the least Integral >= self.N)r)rrrr__ceil__sz
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tdS)zRounds self to ndigits decimal places, defaulting to 0.

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        N)r)rZndigitsrrr	__round__szReal.__round__cCs||||fS)zdivmod(self, other): The pair (self // other, self % other).

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tdS)z)self // other: The floor() of self/other.N)r)rrrrr__floordiv__szReal.__floordiv__cCs
tdS)z)other // self: The floor() of other/self.N)r)rrrrr
__rfloordiv__szReal.__rfloordiv__cCs
tdS)zself % otherN)r)rrrrr__mod__szReal.__mod__cCs
tdS)zother % selfN)r)rrrrr__rmod__sz
Real.__rmod__cCs
tdS)zRself < other

        < on Reals defines a total ordering, except perhaps for NaN.N)r)rrrrr__lt__szReal.__lt__cCs
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self <= otherN)r)rrrrr__le__szReal.__le__cCstt|S)z(complex(self) == complex(float(self), 0))complexfloat)rrrrrszReal.__complex__cCs|
S)z&Real numbers are their real component.r)rrrrrsz	Real.realcCsdS)z)Real numbers have no imaginary component.rr)rrrrrsz	Real.imagcCs|
S)zConjugate is a no-op for Reals.r)rrrrr(szReal.conjugate)r	r
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c@sXeZdZdZfZeeddZeeddZddZ	dS)	rz6.numerator and .denominator should be in lowest terms.cCs
tdS)N)r)rrrr	numeratorszRational.numeratorcCs
tdS)N)r)rrrrdenominatorszRational.denominatorcCs|j|jS)afloat(self) = self.numerator / self.denominator

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r*rr:r;r+rrrrrsc@sEeZdZdZfZeddZddZedddZed	d
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eddZeddZeddZeddZeddZeddZdd Zed!d"Zed#d$ZdS)%rz@Integral adds a conversion to int and the bit-string operations.cCs
tdS)z	int(self)N)r)rrrr__int__+szIntegral.__int__cCs
t|S)z6Called whenever an index is needed, such as in slicing)int)rrrr	__index__0szIntegral.__index__NcCs
tdS)a4self ** exponent % modulus, but maybe faster.

        Accept the modulus argument if you want to support the
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        or any argument isn't Integral. Otherwise, just implement the
        2-argument version described in Complex.
        N)r)rr#modulusrrrr$4s	zIntegral.__pow__cCs
tdS)z
self << otherN)r)rrrrr
__lshift__?szIntegral.__lshift__cCs
tdS)z
other << selfN)r)rrrrr__rlshift__DszIntegral.__rlshift__cCs
tdS)z
self >> otherN)r)rrrrr
__rshift__IszIntegral.__rshift__cCs
tdS)z
other >> selfN)r)rrrrr__rrshift__NszIntegral.__rrshift__cCs
tdS)zself & otherN)r)rrrrr__and__SszIntegral.__and__cCs
tdS)zother & selfN)r)rrrrr__rand__XszIntegral.__rand__cCs
tdS)zself ^ otherN)r)rrrrr__xor__]szIntegral.__xor__cCs
tdS)zother ^ selfN)r)rrrrr__rxor__bszIntegral.__rxor__cCs
tdS)zself | otherN)r)rrrrr__or__gszIntegral.__or__cCs
tdS)zother | selfN)r)rrrrr__ror__lszIntegral.__ror__cCs
tdS)z~selfN)r)rrrr
__invert__qszIntegral.__invert__cCstt|S)zfloat(self) == float(int(self)))r9r=)rrrrr+wszIntegral.__float__cCs|
S)z"Integers are their own numerators.r)rrrrr:{szIntegral.numeratorcCsdS)z!Integers have a denominator of 1.r)rrrrr;szIntegral.denominator)r	r
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rr<r>r$r@rArBrCrDrErFrGrHrIrJr+r*r:r;rrrrr&s(
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