1 | #!/usr/bin/env python |
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2 | |
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3 | ############################################################################## |
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4 | # This software was developed by the University of Tennessee as part of the |
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5 | # Distributed Data Analysis of Neutron Scattering Experiments (DANSE) |
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6 | # project funded by the US National Science Foundation. |
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7 | # |
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8 | # If you use DANSE applications to do scientific research that leads to |
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9 | # publication, we ask that you acknowledge the use of the software with the |
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10 | # following sentence: |
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11 | # |
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12 | # "This work benefited from DANSE software developed under NSF award DMR-0520547." |
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13 | # |
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14 | # copyright 2008, University of Tennessee |
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15 | ############################################################################## |
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16 | from sans.models.BaseComponent import BaseComponent |
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17 | from scipy.special import gammainc,gamma |
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18 | import copy |
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19 | import math |
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20 | |
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21 | class PolymerExclVolume(BaseComponent): |
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22 | """ |
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23 | Class that evaluates a PolymerExclVolModel model. |
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24 | This file was auto-generated from ..\c_extensions\polyexclvol.h. |
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25 | Refer to that file and the structure it contains |
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26 | for details of the model. |
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27 | |
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28 | List of default parameters: |
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29 | |
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30 | * scale = 0.01 |
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31 | * rg = 100.0 [A] |
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32 | * m = 3.0 |
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33 | * background = 0.0 [1/cm] |
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34 | |
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35 | """ |
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36 | |
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37 | def __init__(self): |
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38 | """ Initialization """ |
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39 | |
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40 | # Initialize BaseComponent first, then sphere |
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41 | BaseComponent.__init__(self) |
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42 | |
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43 | ## Name of the model |
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44 | self.name = "PolymerExclVolume" |
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45 | ## Model description |
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46 | self.description =""" Compute the scattering intensity from polymers with excluded volume effects. |
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47 | scale: scale factor times volume fraction, |
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48 | or just volume fraction for absolute scale data |
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49 | rg: radius of gyration |
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50 | m = Porod exponent |
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51 | background: incoherent background |
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52 | """ |
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53 | ## Define parameters |
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54 | self.params = {} |
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55 | self.params['scale'] = 1.0 |
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56 | self.params['rg'] = 60.0 |
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57 | self.params['m'] = 3.0 |
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58 | self.params['background'] = 0.0 |
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59 | |
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60 | |
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61 | ## Parameter details [units, min, max] |
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62 | self.details = {} |
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63 | self.details['scale'] = ['', None, None] |
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64 | self.details['rg'] = ['[A]', None, None] |
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65 | self.details['m'] = ['', None, None] |
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66 | self.details['background'] = ['[1/cm]', None, None] |
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67 | |
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68 | ## fittable parameters |
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69 | self.fixed=[] |
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70 | |
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71 | ## non-fittable parameters |
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72 | self.non_fittable=[] |
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73 | |
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74 | ## parameters with orientation |
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75 | self.orientation_params =[] |
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76 | |
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77 | def _polymerexclvol(self, x): |
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78 | |
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79 | sc = self.params['scale'] |
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80 | rg = self.params['rg'] |
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81 | mm = self.params['m'] |
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82 | bg = self.params['background'] |
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83 | |
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84 | nu = 1.0 / mm |
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85 | |
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86 | Xx = x * x * rg * rg *(2.0 * nu + 1.0) * (2.0 * nu + 2.0) / 6.0 |
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87 | onu = 1.0 / nu |
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88 | o2nu = 1.0 /(2.0 * nu) |
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89 | Ps =(1.0 / (nu * pow(Xx,o2nu))) * (gamma(o2nu)*gammainc(o2nu,Xx) - \ |
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90 | 1.0 / pow(Xx,o2nu) * gamma(onu)*gammainc(onu,Xx)) |
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91 | |
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92 | if x == 0: |
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93 | Ps = 1.0 |
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94 | |
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95 | return (sc * Ps + bg); |
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96 | |
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97 | def run(self, x = 0.0): |
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98 | """ Evaluate the model |
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99 | @param x: input q-value (float or [float, float] as [r, theta]) |
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100 | @return: (guinier value) |
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101 | """ |
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102 | if x.__class__.__name__ == 'list': |
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103 | return self._polymerexclvol(x[0]) |
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104 | elif x.__class__.__name__ == 'tuple': |
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105 | raise ValueError, "Tuples are not allowed as input to BaseComponent models" |
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106 | else: |
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107 | return self._polymerexclvol(x) |
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108 | |
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109 | def runXY(self, x = 0.0): |
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110 | """ Evaluate the model |
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111 | @param x: input q-value (float or [float, float] as [qx, qy]) |
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112 | @return: guinier value |
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113 | """ |
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114 | if x.__class__.__name__ == 'list': |
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115 | q = math.sqrt(x[0]**2 + x[1]**2) |
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116 | return self._polymerexclvol(x) |
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117 | elif x.__class__.__name__ == 'tuple': |
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118 | raise ValueError, "Tuples are not allowed as input to BaseComponent models" |
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119 | else: |
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120 | return self._polymerexclvol(x) |
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121 | |
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122 | |
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123 | |
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124 | # End of file |
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