code: def test_scalar_minimize_reduce_fcn():
      # test that the reduce_fcn option for scalar_minimize
      # gives different and improved results with outliers
  
      np.random.seed(2)
      x = np.linspace(0, 10, 101)
  
      yo = 1.0 + 2.0 * np.sin(4 * x) * np.exp(-x / 5)
      y = yo + np.random.normal(size=len(yo), scale=0.250)
      outliers = np.random.randint(
          int(len(x) / 3.0), len(x), int(len(x) / 12)
      )
      y[outliers] += 5 * np.random.random(len(outliers))
  
      # define objective function: returns the array to be minimized
      def objfunc(pars, x, data):
          decay = pars["decay"]
          offset = pars["offset"]
          omega = pars["omega"]
          amp = pars["amp"]
          model = offset + amp * np.sin(x * omega) * np.exp(-x / decay)
          return model - data
  
      # create a set of Parameters
      params = Parameters()
      params.add("offset", 2.0)
      params.add("omega", 3.3)
      params.add("amp", 2.5)
      params.add("decay", 1.0)
  
      method = "L-BFGS-B"
      out1 = minimize(objfunc, params, args=(x, y), method=method)
      out2 = minimize(
          objfunc,
          params,
          args=(x, y),
          method=method,
          reduce_fcn="neglogcauchy",
      )
  
      assert_allclose(out1.params["omega"].value, 4.0, rtol=0.01)
      assert_allclose(out1.params["decay"].value, 7.6, rtol=0.01)
  
      assert_allclose(out2.params["omega"].value, 4.0, rtol=0.01)
      assert_allclose(out2.params["decay"].value, 5.8, rtol=0.01)
  
imports: import sys
  import unittest
  import numpy
  from numpy import pi
  from numpy.testing import assert_allclose, assert_almost_equal, assert_equal
  import pytest
  from scipy.optimize import rosen_der
  from uncertainties import ufloat
  from lmfit import Minimizer, Parameters, minimize
  from lmfit.lineshapes import gaussian
  from lmfit.minimizer import HAS_EMCEE, SCALAR_METHODS, MinimizerResult, coerce_float64
  from lmfit.models import SineModel
label_desc: Use image node_id 9 for calling a global function with example usage: test_scalar_minimize_reduce_fcn() and returns: unknown