1 | #!/usr/bin/env python |
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2 | """ |
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3 | Provide F(x) = scale/( 1 + (x*L)^2 )^(2) + background |
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4 | DAB (Debye Anderson Brumberger) function as a BaseComponent model |
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5 | """ |
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6 | |
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7 | from sans.models.BaseComponent import BaseComponent |
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8 | import math |
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9 | |
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10 | class DABModel(BaseComponent): |
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11 | |
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12 | """ |
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13 | Class that evaluates a DAB model. |
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14 | |
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15 | F(x) = scale/( 1 + (x*L)^2 )^(2) + background |
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16 | |
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17 | The model has three parameters: |
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18 | L = Correlation Length |
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19 | scale = scale factor |
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20 | background = incoherent background |
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21 | """ |
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22 | |
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23 | def __init__(self): |
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24 | """ Initialization """ |
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25 | |
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26 | # Initialize BaseComponent first, then sphere |
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27 | BaseComponent.__init__(self) |
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28 | |
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29 | ## Name of the model |
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30 | self.name = "DAB_Model" |
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31 | self.description=" Name: DAB model.\n\ |
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32 | F(x) = scale/( 1 + (x*L)^2 )^(2) + background\n\ |
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33 | The model has three parameters:\n \ |
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34 | L = Correlation Length\n\ |
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35 | scale = scale factor\n\ |
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36 | background = incoherent background\n" |
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37 | ## Define parameters |
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38 | self.params = {} |
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39 | self.params['length'] = 50.0 |
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40 | self.params['scale'] = 1.0 |
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41 | self.params['background'] = 0.0 |
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42 | |
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43 | ## Parameter details [units, min, max] |
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44 | self.details = {} |
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45 | self.details['length'] = ['', None, None] |
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46 | self.details['scale'] = ['', None, None] |
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47 | self.details['background'] = ['', None, None] |
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48 | |
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49 | def _DAB(self, x): |
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50 | """ |
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51 | Evaluate F(x) = scale/( 1 + (x*L)^2 )^(2) + background |
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52 | |
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53 | """ |
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54 | return self.params['scale']/math.pow(( 1 + math.pow(x * self.params['length'],2)),2) \ |
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55 | + self.params['background'] |
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56 | |
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57 | |
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58 | def run(self, x = 0.0): |
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59 | """ Evaluate the model |
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60 | @param x: input q-value (float or [float, float] as [r, theta]) |
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61 | @return: (DAB value) |
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62 | """ |
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63 | if x.__class__.__name__ == 'list': |
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64 | return self._DAB(x[0]) |
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65 | elif x.__class__.__name__ == 'tuple': |
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66 | raise ValueError, "Tuples are not allowed as input to BaseComponent models" |
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67 | else: |
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68 | return self._DAB(x) |
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69 | |
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70 | def runXY(self, x = 0.0): |
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71 | """ Evaluate the model |
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72 | @param x: input q-value (float or [float, float] as [qx, qy]) |
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73 | @return: DAB value |
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74 | """ |
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75 | if x.__class__.__name__ == 'list': |
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76 | q = math.sqrt(x[0]**2 + x[1]**2) |
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77 | return self._DAB(q) |
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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._DAB(x) |
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