code: def test_ramp_response():
      if not numpy:
          skip("NumPy is required for this test")
  
      def ramp_res_tester(sys, num_points, expected_value, slope=1):
          x, y = _to_tuple(
              *ramp_response_numerical_data(
                  sys, slope=slope, adaptive=False, n=num_points
              )
          )
          x_check = check_point_accuracy(x, expected_value[0])
          y_check = check_point_accuracy(y, expected_value[1])
          return x_check and y_check
  
      exp1 = (
          (0.0, 2.0, 4.0, 6.0, 8.0, 10.0),
          (
              0.0,
              0.7324667795033895,
              1.9909720978650398,
              2.7956587704217783,
              3.9224897567931514,
              4.85022655284895,
          ),
      )
      exp2 = (
          (
              0.0,
              1.1111111111111112,
              2.2222222222222223,
              3.3333333333333335,
              4.444444444444445,
              5.555555555555555,
              6.666666666666667,
              7.777777777777779,
              8.88888888888889,
              10.0,
          ),
          (
              2.4360213402019326e-08,
              0.10175320182493253,
              0.33057612497658406,
              0.5967937263298935,
              0.8431511866718248,
              1.0398805391471613,
              1.1776043125035738,
              1.2600994825747305,
              1.2981042689274653,
              1.304684417610106,
          ),
      )
      exp3 = (
          (
              0.0,
              1.1111111111111112,
              2.2222222222222223,
              3.3333333333333335,
              4.444444444444445,
              5.555555555555555,
              6.666666666666667,
              7.777777777777779,
              8.88888888888889,
              10.0,
          ),
          (
              -3.9329040468771836e-08,
              0.34686634635794555,
              2.9998828170537903,
              12.33303690737476,
              40.993913948137795,
              127.84145222317912,
              391.41713691996,
              1192.0006858708389,
              3623.9808672503405,
              11011.728034546572,
          ),
      )
      exp4 = (
          (
              0.0,
              1.1111111111111112,
              2.2222222222222223,
              3.3333333333333335,
              4.444444444444445,
              5.555555555555555,
              6.666666666666667,
              7.777777777777779,
              8.88888888888889,
              10.0,
          ),
          (
              0.0,
              1.9051973784484078,
              30.483158055174524,
              154.32098765432104,
              487.7305288827924,
              1190.7483615302544,
              2469.1358024691367,
              4574.3789056546275,
              7803.688462124678,
              12500.0,
          ),
      )
      exp5 = (
          (
              0.0,
              1.1111111111111112,
              2.2222222222222223,
              3.3333333333333335,
              4.444444444444445,
              5.555555555555555,
              6.666666666666667,
              7.777777777777779,
              8.88888888888889,
              10.0,
          ),
          (
              0.0,
              3.8844361856975635,
              9.141792069209865,
              14.096349157657231,
              19.09783068994694,
              24.10179770390321,
              29.09907319114121,
              34.10040420185154,
              39.09983919254265,
              44.10006013058409,
          ),
      )
      exp6 = (
          (
              0.0,
              1.1111111111111112,
              2.2222222222222223,
              3.3333333333333335,
              4.444444444444445,
              5.555555555555555,
              6.666666666666667,
              7.777777777777779,
              8.88888888888889,
              10.0,
          ),
          (
              0.0,
              1.1111111111111112,
              2.2222222222222223,
              3.3333333333333335,
              4.444444444444445,
              5.555555555555555,
              6.666666666666667,
              7.777777777777779,
              8.88888888888889,
              10.0,
          ),
      )
  
      assert ramp_res_tester(tf1, 6, exp1)
      assert ramp_res_tester(tf2, 10, exp2, 1.2)
      assert ramp_res_tester(tf3, 10, exp3, 1.5)
      assert ramp_res_tester(tf4, 10, exp4, 3)
      assert ramp_res_tester(tf5, 10, exp5, 9)
      assert ramp_res_tester(tf6, 10, exp6)
  
imports: from math import isclose
  from sympy.core.numbers import I
  from sympy.core.symbol import Dummy
  from sympy.functions.elementary.complexes import Abs, arg
  from sympy.functions.elementary.exponential import log
  from sympy.abc import s, p, a
  from sympy.external import import_module
  from sympy.physics.control.control_plots import pole_zero_numerical_data, pole_zero_plot, step_response_numerical_data, step_response_plot, impulse_response_numerical_data, impulse_response_plot, ramp_response_numerical_data, ramp_response_plot, bode_magnitude_numerical_data, bode_phase_numerical_data, bode_plot
  from sympy.physics.control.lti import TransferFunction, Series, Parallel, TransferFunctionMatrix
  from sympy.testing.pytest import raises, skip
label_desc: Use image node_id 10 for calling a global function with example usage: test_ramp_response() and returns: unknown