Source code for gfun_14

[docs]def gfun_14(x): """Performance function for reliability problem 14. Parameters ---------- x : numpy.array of float(s) Values of independent variables: columns are the different parameters/random variables (x1, x2,...xn) and rows are different parameter/random variables sets for different calls. Returns ------- g_val_sys : numpy.array of float(s) Performance function value for the system. g_val_comp : numpy.array of float(s) Performance function value for each component. msg : str Accompanying diagnostic message, e.g. warning. """ import numpy as np x = np.array(x, dtype='f') # expected number of random variables/columns nrv_e = 5 g = float('nan') msg = 'Ok' x = np.array(x, dtype='f') n_dim = len(x.shape) if n_dim == 1: x = np.array(x)[np.newaxis] elif n_dim > 2: msg = 'Only available for 1D and 2D arrays.' return float('nan'), float('nan'), msg nrv_p = x.shape[1] if nrv_p != nrv_e: msg = f'The number of random variables (x, columns) is expected to be {nrv_e} but {nrv_p} is provided!' else: g = x[:, 0] - 32 / (np.pi * x[:, 1] ** 3) * np.sqrt(x[:, 2] ** 2 * x[:, 3] ** 2 / 10 + x[:, 4] ** 2) g_val_sys = g g_val_comp = g return g_val_sys, g_val_comp, msg