class_docstr: Coating thickness standardization problem, [1]_.
  
  Number of variables --- 134, number of residuals --- 252, no bounds.
  
  .. [1] Brett M. Averick et al. "The MINPACK-2 Test Problem Collection",
         p. 25
class_docstr_tok: ["Coating","thickness","standardization","problem",",","[","1","]","_",".","Number","of","variables","--","-","134",",","number","of","residuals","--","-","252",",","no","bounds",".","..","[","1","]","Brett","M.","Averick","et","al",".","``","The","MINPACK-2","Test","Problem","Collection","''",",","p.","25"]
code: def __init__(self, x0):
      super().__init__(134, 252, 0.5054986, x0)
      self.n0 = self.m // 4
      self.xi = np.array(
          [
              [
                  0.7140,
                  0.7169,
                  0.7232,
                  0.7151,
                  0.6848,
                  0.7070,
                  0.7177,
                  0.7073,
                  0.6734,
                  0.7174,
                  0.7125,
                  0.6947,
                  0.7121,
                  0.7166,
                  0.6894,
                  0.6897,
                  0.7024,
                  0.7026,
                  0.6800,
                  0.6957,
                  0.6987,
                  0.7111,
                  0.7097,
                  0.6809,
                  0.7139,
                  0.7046,
                  0.6950,
                  0.7032,
                  0.7019,
                  0.6975,
                  0.6955,
                  0.7056,
                  0.6965,
                  0.6848,
                  0.6995,
                  0.6105,
                  0.6027,
                  0.6084,
                  0.6081,
                  0.6057,
                  0.6116,
                  0.6052,
                  0.6136,
                  0.6032,
                  0.6081,
                  0.6092,
                  0.6122,
                  0.6157,
                  0.6191,
                  0.6169,
                  0.5483,
                  0.5371,
                  0.5576,
                  0.5521,
                  0.5495,
                  0.5499,
                  0.4937,
                  0.5092,
                  0.5433,
                  0.5018,
                  0.5363,
                  0.4977,
                  0.5296,
              ],
              [
                  5.145,
                  5.241,
                  5.389,
                  5.211,
                  5.154,
                  5.105,
                  5.191,
                  5.013,
                  5.582,
                  5.208,
                  5.142,
                  5.284,
                  5.262,
                  6.838,
                  6.215,
                  6.817,
                  6.889,
                  6.732,
                  6.717,
                  6.468,
                  6.776,
                  6.574,
                  6.465,
                  6.090,
                  6.350,
                  4.255,
                  4.154,
                  4.211,
                  4.287,
                  4.104,
                  4.007,
                  4.261,
                  4.150,
                  4.040,
                  4.155,
                  5.086,
                  5.021,
                  5.040,
                  5.247,
                  5.125,
                  5.136,
                  4.949,
                  5.253,
                  5.154,
                  5.227,
                  5.120,
                  5.291,
                  5.294,
                  5.304,
                  5.209,
                  5.384,
                  5.490,
                  5.563,
                  5.532,
                  5.372,
                  5.423,
                  7.237,
                  6.944,
                  6.957,
                  7.138,
                  7.009,
                  7.074,
                  7.046,
              ],
          ]
      )
      self.y = np.array(
          [
              9.3636,
              9.3512,
              9.4891,
              9.1888,
              9.3161,
              9.2585,
              9.2913,
              9.3914,
              9.4524,
              9.4995,
              9.4179,
              9.468,
              9.4799,
              11.2917,
              11.5062,
              11.4579,
              11.3977,
              11.3688,
              11.3897,
              11.3104,
              11.3882,
              11.3629,
              11.3149,
              11.2474,
              11.2507,
              8.1678,
              8.1017,
              8.3506,
              8.3651,
              8.2994,
              8.1514,
              8.2229,
              8.1027,
              8.3785,
              8.4118,
              8.0955,
              8.0613,
              8.0979,
              8.1364,
              8.1700,
              8.1684,
              8.0885,
              8.1839,
              8.1478,
              8.1827,
              8.029,
              8.1000,
              8.2579,
              8.2248,
              8.2540,
              6.8518,
              6.8547,
              6.8831,
              6.9137,
              6.8984,
              6.8888,
              8.5189,
              8.5308,
              8.5184,
              8.5222,
              8.5705,
              8.5353,
              8.5213,
              8.3158,
              8.1995,
              8.2283,
              8.1857,
              8.2738,
              8.2131,
              8.2613,
              8.2315,
              8.2078,
              8.2996,
              8.3026,
              8.0995,
              8.2990,
              9.6753,
              9.6687,
              9.5704,
              9.5435,
              9.6780,
              9.7668,
              9.7827,
              9.7844,
              9.7011,
              9.8006,
              9.7610,
              9.7813,
              7.3073,
              7.2572,
              7.4686,
              7.3659,
              7.3587,
              7.3132,
              7.3542,
              7.2339,
              7.4375,
              7.4022,
              10.7914,
              10.6554,
              10.7359,
              10.7583,
              10.7735,
              10.7907,
              10.6465,
              10.6994,
              10.7756,
              10.7402,
              10.6800,
              10.7000,
              10.8160,
              10.6921,
              10.8677,
              12.3495,
              12.4424,
              12.4303,
              12.5086,
              12.4513,
              12.4625,
              16.2290,
              16.2781,
              16.2082,
              16.2715,
              16.2464,
              16.1626,
              16.1568,
          ]
      )
  
      self.scale1 = 4.08
      self.scale2 = 0.417
  
imports: import inspect
  import sys
  import numpy
  from numpy.polynomial.chebyshev import Chebyshev
  from scipy.integrate import odeint
label_desc: Use image node_id 1 to create a new CoatingThickness object from inherited base classes: LSQBenchmarkProblem with example: obj = CoatingThickness(x0)