1 | """ |
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2 | Provide I(q) = I_0 exp ( - R_g^2 q^2 / 3.0) |
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3 | GaussLorentzGel function as a BaseComponent model |
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4 | """ |
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5 | from sas.models.BaseComponent import BaseComponent |
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6 | import math |
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7 | |
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8 | class GaussLorentzGelModel(BaseComponent): |
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9 | """ |
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10 | Class that evaluates a GaussLorentzGel model. |
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11 | |
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12 | I(q) = scale_g*exp(- q^2*Z^2 / 2)+scale_l/(1+q^2*z^2) |
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13 | + background |
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14 | List of default parameters: |
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15 | scale_g = Gauss scale factor |
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16 | Z = Static correlation length |
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17 | scale_l = Lorentzian scale factor |
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18 | z = Dynamic correlation length |
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19 | background = Incoherent background |
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20 | """ |
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21 | |
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22 | def __init__(self): |
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23 | """ Initialization """ |
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24 | |
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25 | # Initialize BaseComponent first, then sphere |
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26 | BaseComponent.__init__(self) |
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27 | |
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28 | ## Name of the model |
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29 | self.name = "GaussLorentzGel" |
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30 | self.description = """I(q)=scale_g*exp(-q^2*Z^2/2)+scale_l/(1+q^2*z^2) |
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31 | + background |
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32 | List of default parameters: |
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33 | scale_g = Gauss scale factor |
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34 | stat_colength = Static correlation length |
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35 | scale_l = Lorentzian scale factor |
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36 | dyn_colength = Dynamic correlation length |
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37 | background = Incoherent background |
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38 | """ |
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39 | ## Define parameters |
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40 | self.params = {} |
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41 | self.params['scale_g'] = 100.0 |
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42 | self.params['stat_colength'] = 100.0 |
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43 | self.params['scale_l'] = 50.0 |
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44 | self.params['dyn_colength'] = 20.0 |
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45 | self.params['background'] = 0.0 |
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46 | ## Parameter details [units, min, max] |
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47 | self.details = {} |
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48 | self.details['scale_g'] = ['', None, None] |
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49 | self.details['stat_colength'] = ['A', None, None] |
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50 | self.details['scale_l'] = ['', None, None] |
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51 | self.details['dyn_colength'] = ['A', None, None] |
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52 | self.details['background'] = ['[1/cm]', None, None] |
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53 | |
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54 | #list of parameter that cannot be fitted |
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55 | self.fixed = [] |
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56 | |
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57 | def _gausslorentzgel(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_g'] \ |
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62 | *math.exp(-1.0*x*x*self.params['stat_colength']* \ |
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63 | self.params['stat_colength']/2.0) + self.params['scale_l']/ \ |
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64 | (1.0 + (x*self.params['dyn_colength'])* \ |
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65 | (x*self.params['dyn_colength'])) + self.params['background'] |
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66 | return inten |
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67 | |
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68 | def run(self, x = 0.0): |
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69 | """ Evaluate the model |
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70 | @param x: input q-value (float or [float, float] as [r, theta]) |
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71 | @return: (guinier value) |
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72 | """ |
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73 | if x.__class__.__name__ == 'list': |
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74 | return self._gausslorentzgel(x[0]) |
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75 | elif x.__class__.__name__ == 'tuple': |
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76 | raise ValueError, "Tuples are not allowed as input to models" |
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77 | else: |
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78 | return self._gausslorentzgel(x) |
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79 | |
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80 | def runXY(self, x = 0.0): |
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81 | """ Evaluate the model |
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82 | @param x: input q-value (float or [float, float] as [qx, qy]) |
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83 | @return: guinier value |
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84 | """ |
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85 | if x.__class__.__name__ == 'list': |
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86 | q = math.sqrt(x[0]**2 + x[1]**2) |
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87 | return self._gausslorentzgel(q) |
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88 | elif x.__class__.__name__ == 'tuple': |
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89 | raise ValueError, "Tuples are not allowed as input to models" |
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90 | else: |
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91 | return self._gausslorentzgel(x) |
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