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Matthias Koeppe
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src/sage/rings/numbers_abc.py: Remove function deprecated in #32641 (2021)
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src/sage/rings/numbers_abc.py

Lines changed: 43 additions & 52 deletions
Original file line numberDiff line numberDiff line change
@@ -2,6 +2,49 @@
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Support Python's numbers abstract base class
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.. SEEALSO:: :pep:`3141` for more information about :class:`numbers`.
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TESTS::
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sage: import numbers
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sage: isinstance(5, numbers.Integral)
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True
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sage: isinstance(5, numbers.Number)
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True
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sage: isinstance(5/1, numbers.Integral)
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False
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sage: isinstance(22/7, numbers.Rational)
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True
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sage: isinstance(1.3, numbers.Real)
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True
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sage: isinstance(CC(1.3), numbers.Real)
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False
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sage: isinstance(CC(1.3 + I), numbers.Complex)
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True
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sage: isinstance(RDF(1.3), numbers.Real)
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True
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sage: isinstance(CDF(1.3, 4), numbers.Complex)
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True
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sage: isinstance(AA(sqrt(2)), numbers.Real) # needs sage.rings.number_field sage.symbolic
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True
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sage: isinstance(QQbar(I), numbers.Complex) # needs sage.rings.number_field
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True
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This doesn't work with symbolic expressions at all::
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sage: isinstance(pi, numbers.Real) # needs sage.symbolic
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False
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sage: isinstance(I, numbers.Complex) # needs sage.rings.number_field
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False
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sage: isinstance(sqrt(2), numbers.Real) # needs sage.rings.number_field sage.symbolic
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False
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Because we do this, NumPy's ``isscalar()`` recognizes Sage types::
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sage: from numpy import isscalar # needs numpy
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sage: isscalar(3.141) # needs numpy
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True
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sage: isscalar(4/17) # needs numpy
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True
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"""
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#*****************************************************************************
@@ -13,55 +56,3 @@
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# (at your option) any later version.
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# http://www.gnu.org/licenses/
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#*****************************************************************************
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def register_sage_classes():
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"""
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Register all relevant Sage classes in the :class:`numbers`
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hierarchy.
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EXAMPLES::
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sage: import numbers
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sage: isinstance(5, numbers.Integral)
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True
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sage: isinstance(5, numbers.Number)
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True
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sage: isinstance(5/1, numbers.Integral)
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False
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sage: isinstance(22/7, numbers.Rational)
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True
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sage: isinstance(1.3, numbers.Real)
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True
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sage: isinstance(CC(1.3), numbers.Real)
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False
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sage: isinstance(CC(1.3 + I), numbers.Complex)
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True
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sage: isinstance(RDF(1.3), numbers.Real)
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True
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sage: isinstance(CDF(1.3, 4), numbers.Complex)
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True
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sage: isinstance(AA(sqrt(2)), numbers.Real) # needs sage.rings.number_field sage.symbolic
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True
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sage: isinstance(QQbar(I), numbers.Complex) # needs sage.rings.number_field
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True
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This doesn't work with symbolic expressions at all::
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sage: isinstance(pi, numbers.Real) # needs sage.symbolic
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False
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sage: isinstance(I, numbers.Complex) # needs sage.rings.number_field
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False
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sage: isinstance(sqrt(2), numbers.Real) # needs sage.rings.number_field sage.symbolic
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False
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Because we do this, NumPy's ``isscalar()`` recognizes Sage types::
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sage: from numpy import isscalar # needs numpy
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sage: isscalar(3.141) # needs numpy
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True
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sage: isscalar(4/17) # needs numpy
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True
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"""
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from sage.misc.superseded import deprecation
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deprecation(32641, "register_sage_classes is a deprecated no-op")

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