code: def morpho(X: np.ndarray) -> float:
      lam = 449.5897
      pol = 1.0
      d = 600.521475
      nmod = 25
      # nmod=1
      e2 = 2.4336
      n = 2 * nmod + 1
      n_motifs = int(X.size / 4)
      X = X / d
      h = X[0:n_motifs]
      x0 = X[n_motifs : 2 * n_motifs]
      a = X[2 * n_motifs : 3 * n_motifs]
      spacers = X[3 * n_motifs : 4 * n_motifs]
      l = lam / d  # noqa
      k0 = 2 * np.pi / l
      P, V = homogene(k0, 0, pol, 1, n)
      S = np.block(
          [
              [np.zeros([n, n]), np.eye(n, dtype=np.complex_)],
              [np.eye(n), np.zeros([n, n])],
          ]
      )
      for j in range(0, n_motifs):
          Pc, Vc = creneau(k0, 0, pol, e2, 1, a[j], n, x0[j])
          S = cascade(S, interface(P, Pc))
          S = c_bas(S, Vc, h[j])
          S = cascade(S, interface(Pc, P))
          S = c_bas(S, V, spacers[j])
      Pc, Vc = homogene(k0, 0, pol, e2, n)
      S = cascade(S, interface(P, Pc))
      R = np.zeros(3, dtype=np.float_)
      for j in range(-1, 2):
          R[j] = abs(S[j + nmod, nmod]) ** 2 * np.real(V[j + nmod]) / k0
      cost: float = 1 - (R[-1] + R[1]) / 2 + R[0] / 2
  
      lams = (np.array([400, 500, 600, 700, 800]) + 0.24587) / d
      bar = 0
      for lo in lams:
          k0 = 2 * np.pi / lo
          P, V = homogene(k0, 0, pol, 1, n)
          S = np.block(
              [
                  [np.zeros([n, n], dtype=np.complex_), np.eye(n)],
                  [np.eye(n), np.zeros([n, n])],
              ]
          )
          for j in range(0, n_motifs):
              Pc, Vc = creneau(k0, 0, pol, e2, 1, a[j], n, x0[j])
              S = cascade(S, interface(P, Pc))
              S = c_bas(S, Vc, h[j])
              S = cascade(S, interface(Pc, P))
              S = c_bas(S, V, spacers[j])
          Pc, Vc = homogene(k0, 0, pol, e2, n)
          S = cascade(S, interface(P, Pc))
          bar += abs(S[nmod, nmod]) ** 2 * np.real(V[nmod]) / k0
      cost += bar / lams.size
      return cost
  
file_path: nevergrad/nevergrad/functions/photonics/photonics.py
imports: import typing
  from pathlib import Path
  import numpy
  from scipy.linalg import toeplitz
label_desc: Use image node_id 9 for calling a global function with example usage: morpho(X) and returns: cost