1 | """ |
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2 | """ |
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3 | from scipy import optimize |
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4 | |
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5 | |
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6 | class Parameter: |
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7 | """ |
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8 | Class to handle model parameters |
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9 | """ |
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10 | def __init__(self, model, name, value=None): |
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11 | self.model = model |
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12 | self.name = name |
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13 | if not value == None: |
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14 | self.model.setParam(self.name, value) |
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15 | |
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16 | def set(self, value): |
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17 | """ |
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18 | Set the value of the parameter |
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19 | """ |
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20 | self.model.setParam(self.name, value) |
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21 | |
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22 | def __call__(self): |
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23 | """ |
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24 | Return the current value of the parameter |
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25 | """ |
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26 | return self.model.getParam(self.name) |
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27 | |
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28 | |
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29 | def sansfit(model, pars, x, y, err_y , qmin=None, qmax=None): |
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30 | """ |
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31 | Fit function |
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32 | |
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33 | :param model: sas model object |
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34 | :param pars: list of parameters |
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35 | :param x: vector of x data |
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36 | :param y: vector of y data |
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37 | :param err_y: vector of y errors |
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38 | """ |
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39 | def f(params): |
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40 | """ |
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41 | Calculates the vector of residuals for each point |
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42 | in y for a given set of input parameters. |
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43 | |
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44 | :param params: list of parameter values |
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45 | :return: vector of residuals |
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46 | """ |
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47 | i = 0 |
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48 | for p in pars: |
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49 | p.set(params[i]) |
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50 | i += 1 |
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51 | |
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52 | residuals = [] |
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53 | for j in range(len(x)): |
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54 | if x[j] >= qmin and x[j] <= qmax: |
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55 | residuals.append((y[j] - model.runXY(x[j])) / err_y[j]) |
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56 | return residuals |
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57 | |
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58 | def chi2(params): |
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59 | """ |
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60 | Calculates chi^2 |
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61 | |
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62 | :param params: list of parameter values |
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63 | |
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64 | :return: chi^2 |
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65 | |
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66 | """ |
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67 | sum = 0 |
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68 | res = f(params) |
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69 | for item in res: |
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70 | sum += item * item |
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71 | return sum |
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72 | |
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73 | p = [param() for param in pars] |
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74 | out, cov_x, info, mesg, success = optimize.leastsq(f, p, full_output=1) |
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75 | # Calculate chi squared |
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76 | if len(pars) > 1: |
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77 | chisqr = chi2(out) |
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78 | elif len(pars) == 1: |
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79 | chisqr = chi2([out]) |
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80 | |
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81 | return chisqr, out, cov_x |
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82 | |
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83 | |
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84 | def calcCommandline(event): |
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85 | #Testing implementation |
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86 | # Fit a Line model |
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87 | from LineModel import LineModel |
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88 | line = LineModel() |
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89 | cstA = Parameter(line, 'A', event.cstA) |
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90 | cstB = Parameter(line, 'B', event.cstB) |
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91 | y = line.run() |
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92 | chisqr, out, cov = sansfit(line, [cstA, cstB], event.x, y, 0) |
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93 | # print "Output parameters:", out |
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94 | print "The right answer is [70.0, 1.0]" |
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95 | print chisqr, out, cov |
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