[829eee9] | 1 | #!/usr/bin/env python |
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| 2 | """ |
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[3db3895] | 3 | Provide F(x) = scale/( 1 + (x*L)^2 )^(2) + background |
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[829eee9] | 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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[3db3895] | 15 | F(x) = scale/( 1 + (x*L)^2 )^(2) + background |
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[829eee9] | 16 | |
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| 17 | The model has three parameters: |
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[3db3895] | 18 | L = Correlation Length |
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| 19 | scale = scale factor |
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| 20 | background = incoherent background |
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[829eee9] | 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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[3db3895] | 30 | self.name = "DAB_Model" |
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[753552d] | 31 | self.description="""F(x) = scale/( 1 + (x*L)^2 )^(2) + background |
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| 32 | |
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| 33 | The model has three parameters: |
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| 34 | L = Correlation Length |
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| 35 | scale = scale factor |
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| 36 | background = incoherent background""" |
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[829eee9] | 37 | ## Define parameters |
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| 38 | self.params = {} |
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[3db3895] | 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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[829eee9] | 42 | |
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| 43 | ## Parameter details [units, min, max] |
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| 44 | self.details = {} |
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[0824909] | 45 | self.details['length'] = ['[Å]', None, None] |
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[3db3895] | 46 | self.details['scale'] = ['', None, None] |
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[0824909] | 47 | self.details['background'] = ['[1/cm]', None, None] |
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[988130c6] | 48 | #list of parameter that cannot be fitted |
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| 49 | self.fixed= [] |
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[829eee9] | 50 | def _DAB(self, x): |
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| 51 | """ |
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[3db3895] | 52 | Evaluate F(x) = scale/( 1 + (x*L)^2 )^(2) + background |
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[829eee9] | 53 | |
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| 54 | """ |
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[3db3895] | 55 | return self.params['scale']/math.pow(( 1 + math.pow(x * self.params['length'],2)),2) \ |
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| 56 | + self.params['background'] |
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[829eee9] | 57 | |
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| 58 | |
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| 59 | def run(self, x = 0.0): |
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| 60 | """ Evaluate the model |
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[3db3895] | 61 | @param x: input q-value (float or [float, float] as [r, theta]) |
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[829eee9] | 62 | @return: (DAB value) |
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| 63 | """ |
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| 64 | if x.__class__.__name__ == 'list': |
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[a55fac1] | 65 | return self._DAB(x[0]) |
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[829eee9] | 66 | elif x.__class__.__name__ == 'tuple': |
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| 67 | raise ValueError, "Tuples are not allowed as input to BaseComponent models" |
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| 68 | else: |
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| 69 | return self._DAB(x) |
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| 70 | |
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| 71 | def runXY(self, x = 0.0): |
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| 72 | """ Evaluate the model |
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[3db3895] | 73 | @param x: input q-value (float or [float, float] as [qx, qy]) |
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[829eee9] | 74 | @return: DAB value |
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| 75 | """ |
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| 76 | if x.__class__.__name__ == 'list': |
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[a55fac1] | 77 | q = math.sqrt(x[0]**2 + x[1]**2) |
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| 78 | return self._DAB(q) |
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[829eee9] | 79 | elif x.__class__.__name__ == 'tuple': |
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| 80 | raise ValueError, "Tuples are not allowed as input to BaseComponent models" |
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| 81 | else: |
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| 82 | return self._DAB(x) |
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