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Convert Python complex values in symbolic interface expressions #42618

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Merged
vbraun merged 3 commits into from
Aug 23, 2026
Merged

Convert Python complex values in symbolic interface expressions #42618

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3d40507
gh-42608: Convert Python complex values for symbolic interfaces
cxzhong Aug 3, 2026
a4fd2c8
gh-42608: Simplify complex conversion doctest
cxzhong Aug 3, 2026
94b6cb0
gh-42608: Consolidate NumPy doctest tag
cxzhong Aug 3, 2026
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20 changes: 20 additions & 0 deletions src/sage/symbolic/expression_conversions.py
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Original file line number Diff line number Diff line change
Expand Up @@ -445,7 +445,27 @@ def pyobject(self, ex, obj):

sage: ii.pyobject(pi, pi.pyobject())
'Pi'

Python complex numbers need to be converted through a Sage complex
field instead of being represented using Python's ``j`` notation
(:issue:`42608`)::

sage: z = SR(complex(1, 2))
sage: (z * x)._maxima_init_()
'(_SAGE_VAR_x)*(1.0000000000000000 + 2.0000000000000000*%i)'

In particular, this fixes symbolic matrix inversion after NumPy has
converted complex scalars to Python objects::

sage: # needs numpy
sage: import numpy
sage: a = numpy.eye(2, dtype=complex)
sage: matrix(x * a).inverse()[0, 0].simplify_full()
1.0/x
"""
if isinstance(obj, complex):
from sage.rings.complex_double import CDF
obj = CDF(obj)
if (self.interface.name() in ['pari', 'gp'] and isinstance(obj, NumberFieldElement_base)):
from sage.rings.number_field.number_field_element_quadratic import (
NumberFieldElement_gaussian,
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