1 | #!/usr/bin/env python |
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2 | """ |
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3 | TwoLorentzianModel function as a BaseComponent model |
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4 | """ |
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5 | |
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6 | from sas.models.BaseComponent import BaseComponent |
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7 | from numpy import power |
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8 | import math |
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9 | |
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10 | class TwoLorentzianModel(BaseComponent): |
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11 | """ |
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12 | Class that evaluates a TwoLorentzianModel. |
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13 | I(q) = II(q) = scale_1/(1.0 + pow((q*length_1),exponent_1)) |
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14 | + scale_2/(1.0 + pow((q*length_2),exponent_2) )+ background |
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15 | """ |
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16 | |
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17 | def __init__(self): |
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18 | """ Initialization """ |
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19 | |
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20 | # Initialize BaseComponent first, then sphere |
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21 | BaseComponent.__init__(self) |
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22 | |
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23 | ## Name of the model |
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24 | self.name = "TwoLorentzian" |
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25 | self.description = """I(q) = scale_1/(1.0 + pow((q*length_1),exponent_1)) |
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26 | + scale_2/(1.0 + pow((q*length_2),exponent_2) )+ background |
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27 | List of default parameters: |
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28 | scale_1 = Lorentzian term scaling #1 |
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29 | length_1 = Lorentzian screening length #1 [A] |
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30 | exponent_1 = Lorentzian exponent #1 |
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31 | scale_2 = Lorentzian term scaling #2 |
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32 | length_2 = Lorentzian screening length #2 [A] |
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33 | exponent_2 = Lorentzian exponent #2 |
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34 | background = Incoherent background |
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35 | """ |
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36 | ## Define parameters |
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37 | self.params = {} |
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38 | self.params['scale_1'] = 10.0 |
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39 | self.params['length_1'] = 100.0 |
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40 | self.params['exponent_1'] = 3.0 |
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41 | self.params['scale_2'] = 1.0 |
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42 | self.params['length_2'] = 10.0 |
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43 | self.params['exponent_2'] = 2.0 |
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44 | self.params['background'] = 0.1 |
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45 | ## Parameter details [units, min, max] |
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46 | self.details = {} |
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47 | self.details['scale_1'] = ['', None, None] |
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48 | self.details['length_1'] = ['A', None, None] |
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49 | self.details['exponent_1'] = ['', None, None] |
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50 | self.details['scale_2'] = ['', None, None] |
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51 | self.details['length_2'] = ['A', None, None] |
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52 | self.details['exponent_2'] = ['', None, None] |
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53 | self.details['background'] = ['[1/cm]', None, None] |
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54 | |
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55 | #list of parameter that cannot be fitted |
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56 | self.fixed = [] |
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57 | def _twolorentzian(self, x): |
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58 | """ |
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59 | Model definition |
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60 | """ |
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61 | inten = self.params['scale_1']/(1.0 + \ |
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62 | power((x*self.params['length_1']),self.params['exponent_1'])) |
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63 | inten += self.params['scale_2']/(1.0 + \ |
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64 | power((x*self.params['length_2']),self.params['exponent_2'])) |
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65 | inten += self.params['background'] |
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66 | |
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67 | return inten |
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68 | |
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69 | def run(self, x = 0.0): |
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70 | """ |
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71 | Evaluate the model |
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72 | |
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73 | param x: input q-value (float or [float, float] as [r, theta]) |
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74 | return: (scattering value) |
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75 | """ |
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76 | if x.__class__.__name__ == 'list': |
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77 | return self._twolorentzian(x[0]) |
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78 | elif x.__class__.__name__ == 'tuple': |
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79 | raise ValueError, "Tuples are not allowed as input to BaseComponent models" |
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80 | else: |
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81 | return self._twolorentzian(x) |
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82 | |
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83 | def runXY(self, x = 0.0): |
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84 | """ |
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85 | Evaluate the model |
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86 | |
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87 | param x: input q-value (float or [float, float] as [qx, qy]) |
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88 | return: scattering value |
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89 | """ |
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90 | if x.__class__.__name__ == 'list': |
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91 | q = math.sqrt(x[0]**2 + x[1]**2) |
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92 | return self._twolorentzian(q) |
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93 | elif x.__class__.__name__ == 'tuple': |
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94 | raise ValueError, "Tuples are not allowed as input to BaseComponent models" |
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95 | else: |
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96 | return self._twolorentzian(x) |
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