1 | #!/usr/bin/env python |
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2 | """ |
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3 | PeakGaussModel function as a BaseComponent model |
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4 | """ |
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5 | from __future__ import division |
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6 | |
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7 | from sas.models.BaseComponent import BaseComponent |
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8 | import math |
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9 | |
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10 | class PeakGaussModel(BaseComponent): |
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11 | |
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12 | """ |
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13 | Class that evaluates a gaussian shaped peak with a flat background. |
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14 | |
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15 | F(q) = scale exp( -1/2 [(q-qo)/B]^2 )+ background |
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16 | |
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17 | The model has three parameters: |
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18 | scale = scale |
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19 | q0 = peak position |
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20 | B = standard deviation |
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21 | background= incoherent background |
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22 | """ |
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23 | |
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24 | def __init__(self): |
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25 | """ Initialization """ |
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26 | |
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27 | # Initialize BaseComponent first, then sphere |
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28 | BaseComponent.__init__(self) |
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29 | |
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30 | ## Name of the model |
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31 | self.name = "Peak Gauss Model" |
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32 | self.description=""" F(q) = scale*exp( -1/2 *[(q-q0)/B]^2 )+ background |
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33 | |
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34 | The model has three parameters: |
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35 | scale = scale |
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36 | q0 = peak position |
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37 | B = standard deviation |
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38 | background= incoherent background""" |
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39 | ## Define parameters |
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40 | self.params = {} |
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41 | self.params['scale'] = 100.0 |
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42 | self.params['q0'] = 0.05 |
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43 | self.params['B'] = 0.005 |
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44 | self.params['background'] = 1.0 |
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45 | |
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46 | ## Parameter details [units, min, max] |
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47 | self.details = {} |
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48 | self.details['q0'] = ['[1/A]', None, None] |
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49 | self.details['scale'] = ['', 0, None] |
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50 | self.details['B'] = ['[1/A]', None, None] |
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51 | self.details['background'] = ['[1/cm]', None, None] |
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52 | #list of parameter that cannot be fitted |
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53 | self.fixed= [] |
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54 | |
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55 | def _PeakGauss(self, x): |
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56 | """ |
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57 | Evaluate F(x) = scale exp( -1/2 [(x-q0)/B]^2 )+ background |
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58 | |
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59 | """ |
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60 | return self.params['scale']*math.exp(-1/2 *\ |
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61 | math.pow((x - self.params['q0'])/self.params['B'],2)) \ |
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62 | + self.params['background'] |
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63 | |
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64 | |
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65 | def run(self, x = 0.0): |
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66 | """ Evaluate the model |
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67 | @param x: input q-value (float or [float, float] as [r, theta]) |
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68 | @return: (Peak Gaussian value) |
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69 | """ |
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70 | if x.__class__.__name__ == 'list': |
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71 | return self._PeakGauss(x[0]) |
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72 | elif x.__class__.__name__ == 'tuple': |
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73 | raise ValueError, "Tuples are not allowed as input to BaseComponent models" |
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74 | else: |
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75 | return self._PeakGauss(x) |
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76 | |
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77 | def runXY(self, x = 0.0): |
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78 | """ Evaluate the model |
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79 | @param x: input q-value (float or [float, float] as [qx, qy]) |
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80 | @return: Peak Gaussian value |
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81 | """ |
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82 | if x.__class__.__name__ == 'list': |
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83 | q = math.sqrt(x[0]**2 + x[1]**2) |
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84 | return self._PeakGauss(q) |
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85 | elif x.__class__.__name__ == 'tuple': |
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86 | raise ValueError, "Tuples are not allowed as input to BaseComponent models" |
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87 | else: |
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88 | return self._PeakGauss(x) |
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