[a9d5684] | 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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[79492222] | 33 | :param model: sas model object |
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[a9d5684] | 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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