# sympy__sympy-19487 # Loki Mode Multi-Agent Patch # Attempts: 1 Based on the architect's analysis, I need to generate a patch for the `sympy/sympy` repository. Since this is a patch generation task for an external repository, I'll generate the patch based on the analysis provided, which indicates the fix should be in `sympy/functions/elementary/complexes.py`. Let me generate the patch based on the typical structure of sympy's `sign` class: ``` --- a/sympy/functions/elementary/complexes.py +++ b/sympy/functions/elementary/complexes.py @@ -1,6 +1,7 @@ from __future__ import print_function, division from sympy.core import S, Add, Mul, sympify, Symbol, Dummy, Basic +from sympy.core.relational import Eq from sympy.core.expr import Expr from sympy.core.exprtools import factor_terms from sympy.core.function import (Function, Derivative, ArgumentIndexError, @@ -8,6 +9,7 @@ from sympy.core.logic import fuzzy_not, fuzzy_or from sympy.core.numbers import pi, I, oo from sympy.core.symbol import Symbol +from sympy.functions.elementary.piecewise import Piecewise from sympy.functions.elementary.exponential import exp, exp_polar, log from sympy.functions.elementary.integers import ceiling from sympy.functions.elementary.miscellaneous import sqrt @@ -391,6 +393,9 @@ def _eval_rewrite_as_Piecewise(self, arg, **kwargs): return Piecewise((1, arg > 0), (-1, arg < 0), (0, True)) return Piecewise((self.args[0] / Abs(self.args[0]), Ne(self.args[0], 0)), (0, True)) + def _eval_rewrite_as_Abs(self, arg, **kwargs): + return Piecewise((0, Eq(arg, 0)), (arg / Abs(arg), True)) + def _eval_simplify(self, **kwargs): return self.func(self.args[0].factor()) # XXX include doit? ```