[8f20419d] | 1 | """ |
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[279e371] | 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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[8f20419d] | 4 | """ |
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[79492222] | 5 | from sas.models.BaseComponent import BaseComponent |
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[79411b2] | 6 | import math |
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[8f20419d] | 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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[79411b2] | 30 | self.description = """I(q)=scale_g*exp(-q^2*Z^2/2)+scale_l/(1+q^2*z^2) |
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[8f20419d] | 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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[79411b2] | 55 | self.fixed = [] |
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[279e371] | 56 | |
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[8f20419d] | 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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[279e371] | 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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[8f20419d] | 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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[279e371] | 76 | raise ValueError, "Tuples are not allowed as input to models" |
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[8f20419d] | 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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[279e371] | 89 | raise ValueError, "Tuples are not allowed as input to models" |
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[8f20419d] | 90 | else: |
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| 91 | return self._gausslorentzgel(x) |
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