Coverage for local/lib/python2.7/site-packages/sage/rings/numbers_abc.py : 0%

""" 

Support Python's numbers abstract base class 

.. SEEALSO:: :pep:`3141` for more information about :class:`numbers`. 

""" 

#***************************************************************************** 

# Copyright (C) 2015 Jeroen Demeyer <jdemeyer@cage.ugent.be> 

# 

# This program is free software: you can redistribute it and/or modify 

# it under the terms of the GNU General Public License as published by 

# the Free Software Foundation, either version 2 of the License, or 

# (at your option) any later version. 

# http://www.gnu.org/licenses/ 

#***************************************************************************** 

import numbers 

def register_sage_classes(): 

""" 

Register all relevant Sage classes in the :class:`numbers` 

hierarchy. 

EXAMPLES:: 

sage: import numbers 

sage: isinstance(5, numbers.Integral) 

True 

sage: isinstance(5, numbers.Number) 

True 

sage: isinstance(5/1, numbers.Integral) 

False 

sage: isinstance(22/7, numbers.Rational) 

True 

sage: isinstance(1.3, numbers.Real) 

True 

sage: isinstance(CC(1.3), numbers.Real) 

False 

sage: isinstance(CC(1.3 + I), numbers.Complex) 

True 

sage: isinstance(RDF(1.3), numbers.Real) 

True 

sage: isinstance(CDF(1.3, 4), numbers.Complex) 

True 

sage: isinstance(AA(sqrt(2)), numbers.Real) 

True 

sage: isinstance(QQbar(I), numbers.Complex) 

True 

This doesn't work with symbolic expressions at all:: 

sage: isinstance(pi, numbers.Real) 

False 

sage: isinstance(I, numbers.Complex) 

False 

sage: isinstance(sqrt(2), numbers.Real) 

False 

Because we do this, NumPy's ``isscalar()`` recognizes Sage types:: 

sage: from numpy import isscalar 

sage: isscalar(3.141) 

True 

sage: isscalar(4/17) 

True 

""" 

from sage.rings.integer import Integer 

from sage.rings.rational import Rational 

from sage.rings.real_mpfr import RealNumber 

from sage.rings.real_double import RealDoubleElement 

from sage.rings.complex_number import ComplexNumber 

from sage.rings.complex_double import ComplexDoubleElement 

from sage.rings.complex_mpc import MPComplexNumber 

from sage.rings.qqbar import AlgebraicReal, AlgebraicNumber 

numbers.Integral.register(Integer) 

numbers.Rational.register(Rational) 

numbers.Real.register(RealNumber) 

numbers.Real.register(RealDoubleElement) 

numbers.Real.register(AlgebraicReal) 

numbers.Complex.register(ComplexNumber) 

numbers.Complex.register(MPComplexNumber) 

numbers.Complex.register(ComplexDoubleElement) 

numbers.Complex.register(AlgebraicNumber) 

register_sage_classes()