code: def tn_branch(s, func):
      from sympy.core.random import uniform
  
      c = uniform(1, 5)
      expr = func(s, c * exp_polar(I * pi)) - func(
          s, c * exp_polar(-I * pi)
      )
      eps = 1e-15
      expr2 = func(s + eps, -c + eps * I) - func(s + eps, -c - eps * I)
      return abs(expr.n() - expr2.n()).n() < 1e-10
  
imports: from sympy.core.function import expand_func, Subs
  from sympy.core import EulerGamma
  from sympy.core.numbers import I, Rational, nan, oo, pi, zoo
  from sympy.core.singleton import S
  from sympy.core.symbol import Dummy, Symbol
  from sympy.functions.combinatorial.factorials import factorial
  from sympy.functions.combinatorial.numbers import harmonic
  from sympy.functions.elementary.complexes import Abs, conjugate, im, re
  from sympy.functions.elementary.exponential import exp, exp_polar, log
  from sympy.functions.elementary.hyperbolic import tanh
  from sympy.functions.elementary.miscellaneous import sqrt
  from sympy.functions.elementary.trigonometric import cos, sin, atan
  from sympy.functions.special.error_functions import Ei, erf, erfc
  from sympy.functions.special.gamma_functions import digamma, gamma, loggamma, lowergamma, multigamma, polygamma, trigamma, uppergamma
  from sympy.functions.special.zeta_functions import zeta
  from sympy.series.order import O
  from sympy.core.expr import unchanged
  from sympy.core.function import ArgumentIndexError
  from sympy.testing.pytest import raises
  from sympy.core.random import test_derivative_numerically, random_complex_number, verify_numerically
label_desc: Use image node_id 4 for calling a global function with example usage: tn_branch(s, func) and returns: unknown