1 | import copy |
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2 | |
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3 | import numpy as np |
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4 | |
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5 | from sas.sascalc.calculator.BaseComponent import BaseComponent |
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6 | |
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7 | class MultiplicationModel(BaseComponent): |
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8 | r""" |
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9 | Use for P(Q)\*S(Q); function call must be in the order of P(Q) and then S(Q): |
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10 | The model parameters are combined from both models, P(Q) and S(Q), except 1) 'radius_effective' of S(Q) |
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11 | which will be calculated from P(Q) via calculate_ER(), |
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12 | and 2) 'scale' in P model which is synchronized w/ volfraction in S |
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13 | then P*S is multiplied by a new parameter, 'scale_factor'. |
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14 | The polydispersion is applicable only to P(Q), not to S(Q). |
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15 | |
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16 | .. note:: P(Q) refers to 'form factor' model while S(Q) does to 'structure factor'. |
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17 | """ |
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18 | def __init__(self, p_model, s_model ): |
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19 | BaseComponent.__init__(self) |
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20 | """ |
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21 | :param p_model: form factor, P(Q) |
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22 | :param s_model: structure factor, S(Q) |
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23 | """ |
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24 | |
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25 | ## Setting model name model description |
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26 | self.description = "" |
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27 | self.name = p_model.name +" * "+ s_model.name |
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28 | self.description= self.name + "\n" |
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29 | self.fill_description(p_model, s_model) |
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30 | |
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31 | ## Define parameters |
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32 | self.params = {} |
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33 | |
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34 | ## Parameter details [units, min, max] |
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35 | self.details = {} |
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36 | |
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37 | ## Define parameters to exclude from multiplication model |
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38 | self.excluded_params={'radius_effective','scale','background'} |
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39 | |
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40 | ##models |
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41 | self.p_model = p_model |
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42 | self.s_model = s_model |
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43 | self.magnetic_params = [] |
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44 | ## dispersion |
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45 | self._set_dispersion() |
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46 | ## Define parameters |
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47 | self._set_params() |
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48 | ## New parameter:Scaling factor |
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49 | self.params['scale_factor'] = 1 |
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50 | self.params['background'] = 0 |
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51 | |
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52 | ## Parameter details [units, min, max] |
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53 | self._set_details() |
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54 | self.details['scale_factor'] = ['', 0.0, np.inf] |
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55 | self.details['background'] = ['',-np.inf,np.inf] |
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56 | |
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57 | #list of parameter that can be fitted |
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58 | self._set_fixed_params() |
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59 | ## parameters with orientation |
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60 | for item in self.p_model.orientation_params: |
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61 | self.orientation_params.append(item) |
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62 | for item in self.p_model.magnetic_params: |
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63 | self.magnetic_params.append(item) |
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64 | for item in self.s_model.orientation_params: |
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65 | if not item in self.orientation_params: |
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66 | self.orientation_params.append(item) |
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67 | # get multiplicity if model provide it, else 1. |
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68 | try: |
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69 | multiplicity = p_model.multiplicity |
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70 | except: |
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71 | multiplicity = 1 |
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72 | ## functional multiplicity of the model |
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73 | self.multiplicity = multiplicity |
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74 | |
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75 | # non-fittable parameters |
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76 | self.non_fittable = p_model.non_fittable |
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77 | self.multiplicity_info = [] |
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78 | self.fun_list = {} |
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79 | if self.non_fittable > 1: |
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80 | try: |
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81 | self.multiplicity_info = p_model.multiplicity_info |
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82 | self.fun_list = p_model.fun_list |
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83 | self.is_multiplicity_model = True |
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84 | except: |
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85 | pass |
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86 | else: |
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87 | self.is_multiplicity_model = False |
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88 | self.multiplicity_info = [0] |
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89 | |
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90 | def _clone(self, obj): |
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91 | """ |
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92 | Internal utility function to copy the internal data members to a |
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93 | fresh copy. |
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94 | """ |
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95 | obj.params = copy.deepcopy(self.params) |
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96 | obj.description = copy.deepcopy(self.description) |
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97 | obj.details = copy.deepcopy(self.details) |
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98 | obj.dispersion = copy.deepcopy(self.dispersion) |
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99 | obj.p_model = self.p_model.clone() |
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100 | obj.s_model = self.s_model.clone() |
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101 | #obj = copy.deepcopy(self) |
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102 | return obj |
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103 | |
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104 | |
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105 | def _set_dispersion(self): |
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106 | """ |
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107 | combine the two models' dispersions. Polydispersity should not be |
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108 | applied to s_model |
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109 | """ |
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110 | ##set dispersion only from p_model |
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111 | for name , value in self.p_model.dispersion.iteritems(): |
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112 | self.dispersion[name] = value |
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113 | |
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114 | def getProfile(self): |
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115 | """ |
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116 | Get SLD profile of p_model if exists |
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117 | |
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118 | :return: (r, beta) where r is a list of radius of the transition points\ |
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119 | beta is a list of the corresponding SLD values |
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120 | |
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121 | .. note:: This works only for func_shell num = 2 (exp function). |
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122 | """ |
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123 | try: |
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124 | x, y = self.p_model.getProfile() |
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125 | except: |
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126 | x = None |
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127 | y = None |
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128 | |
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129 | return x, y |
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130 | |
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131 | def _set_params(self): |
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132 | """ |
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133 | Concatenate the parameters of the two models to create |
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134 | these model parameters |
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135 | """ |
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136 | |
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137 | for name , value in self.p_model.params.iteritems(): |
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138 | if not name in self.params.keys() and name not in self.excluded_params: |
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139 | self.params[name] = value |
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140 | |
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141 | for name , value in self.s_model.params.iteritems(): |
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142 | #Remove the radius_effective from the (P*S) model parameters. |
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143 | if not name in self.params.keys() and name not in self.excluded_params: |
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144 | self.params[name] = value |
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145 | |
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146 | # Set "scale and effec_radius to P and S model as initializing |
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147 | # since run P*S comes from P and S separately. |
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148 | self._set_backgrounds() |
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149 | self._set_scale_factor() |
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150 | self._set_radius_effective() |
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151 | |
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152 | def _set_details(self): |
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153 | """ |
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154 | Concatenate details of the two models to create |
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155 | this model's details |
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156 | """ |
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157 | for name, detail in self.p_model.details.iteritems(): |
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158 | if name not in self.excluded_params: |
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159 | self.details[name] = detail |
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160 | |
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161 | for name , detail in self.s_model.details.iteritems(): |
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162 | if not name in self.details.keys() or name not in self.exluded_params: |
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163 | self.details[name] = detail |
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164 | |
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165 | def _set_backgrounds(self): |
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166 | """ |
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167 | Set component backgrounds to zero |
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168 | """ |
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169 | if 'background' in self.p_model.params: |
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170 | self.p_model.setParam('background',0) |
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171 | if 'background' in self.s_model.params: |
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172 | self.s_model.setParam('background',0) |
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173 | |
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174 | |
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175 | def _set_scale_factor(self): |
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176 | """ |
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177 | Set scale=volfraction for P model |
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178 | """ |
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179 | value = self.params['volfraction'] |
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180 | if value != None: |
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181 | factor = self.p_model.calculate_VR() |
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182 | if factor == None or factor == NotImplemented or factor == 0.0: |
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183 | val = value |
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184 | else: |
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185 | val = value / factor |
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186 | self.p_model.setParam('scale', value) |
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187 | self.s_model.setParam('volfraction', val) |
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188 | |
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189 | def _set_radius_effective(self): |
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190 | """ |
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191 | Set effective radius to S(Q) model |
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192 | """ |
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193 | if not 'radius_effective' in self.s_model.params.keys(): |
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194 | return |
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195 | effective_radius = self.p_model.calculate_ER() |
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196 | #Reset the effective_radius of s_model just before the run |
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197 | if effective_radius != None and effective_radius != NotImplemented: |
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198 | self.s_model.setParam('radius_effective', effective_radius) |
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199 | |
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200 | def setParam(self, name, value): |
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201 | """ |
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202 | Set the value of a model parameter |
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203 | |
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204 | :param name: name of the parameter |
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205 | :param value: value of the parameter |
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206 | """ |
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207 | # set param to P*S model |
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208 | self._setParamHelper( name, value) |
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209 | |
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210 | ## setParam to p model |
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211 | # set 'scale' in P(Q) equal to volfraction |
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212 | if name == 'volfraction': |
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213 | self._set_scale_factor() |
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214 | elif name in self.p_model.getParamList() and name not in self.excluded_params: |
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215 | self.p_model.setParam( name, value) |
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216 | |
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217 | ## setParam to s model |
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218 | # This is a little bit abundant: Todo: find better way |
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219 | self._set_radius_effective() |
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220 | if name in self.s_model.getParamList() and name not in self.excluded_params: |
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221 | if name != 'volfraction': |
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222 | self.s_model.setParam( name, value) |
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223 | |
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224 | |
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225 | #self._setParamHelper( name, value) |
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226 | |
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227 | def _setParamHelper(self, name, value): |
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228 | """ |
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229 | Helper function to setparam |
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230 | """ |
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231 | # Look for dispersion parameters |
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232 | toks = name.split('.') |
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233 | if len(toks)==2: |
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234 | for item in self.dispersion.keys(): |
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235 | if item.lower()==toks[0].lower(): |
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236 | for par in self.dispersion[item]: |
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237 | if par.lower() == toks[1].lower(): |
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238 | self.dispersion[item][par] = value |
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239 | return |
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240 | else: |
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241 | # Look for standard parameter |
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242 | for item in self.params.keys(): |
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243 | if item.lower() == name.lower(): |
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244 | self.params[item] = value |
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245 | return |
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246 | |
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247 | raise ValueError, "Model does not contain parameter %s" % name |
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248 | |
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249 | |
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250 | def _set_fixed_params(self): |
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251 | """ |
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252 | Fill the self.fixed list with the p_model fixed list |
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253 | """ |
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254 | for item in self.p_model.fixed: |
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255 | self.fixed.append(item) |
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256 | |
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257 | self.fixed.sort() |
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258 | |
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259 | |
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260 | def run(self, x = 0.0): |
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261 | """ |
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262 | Evaluate the model |
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263 | |
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264 | :param x: input q-value (float or [float, float] as [r, theta]) |
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265 | :return: (scattering function value) |
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266 | """ |
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267 | # set effective radius and scaling factor before run |
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268 | self._set_radius_effective() |
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269 | self._set_scale_factor() |
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270 | return self.params['scale_factor'] * self.p_model.run(x) * \ |
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271 | self.s_model.run(x) + self.params['background'] |
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272 | |
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273 | def runXY(self, x = 0.0): |
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274 | """ |
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275 | Evaluate the model |
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276 | |
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277 | :param x: input q-value (float or [float, float] as [qx, qy]) |
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278 | :return: scattering function value |
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279 | """ |
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280 | # set effective radius and scaling factor before run |
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281 | self._set_radius_effective() |
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282 | self._set_scale_factor() |
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283 | out = self.params['scale_factor'] * self.p_model.runXY(x) * \ |
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284 | self.s_model.runXY(x) + self.params['background'] |
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285 | return out |
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286 | |
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287 | ## Now (May27,10) directly uses the model eval function |
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288 | ## instead of the for-loop in Base Component. |
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289 | def evalDistribution(self, x = []): |
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290 | """ |
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291 | Evaluate the model in cartesian coordinates |
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292 | |
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293 | :param x: input q[], or [qx[], qy[]] |
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294 | :return: scattering function P(q[]) |
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295 | """ |
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296 | # set effective radius and scaling factor before run |
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297 | self._set_radius_effective() |
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298 | self._set_scale_factor() |
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299 | out = self.params['scale_factor'] * self.p_model.evalDistribution(x) * \ |
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300 | self.s_model.evalDistribution(x) + self.params['background'] |
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301 | return out |
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302 | |
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303 | def set_dispersion(self, parameter, dispersion): |
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304 | """ |
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305 | Set the dispersion object for a model parameter |
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306 | |
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307 | :param parameter: name of the parameter [string] |
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308 | :dispersion: dispersion object of type DispersionModel |
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309 | """ |
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310 | value = None |
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311 | try: |
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312 | if parameter in self.p_model.dispersion.keys(): |
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313 | value = self.p_model.set_dispersion(parameter, dispersion) |
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314 | self._set_dispersion() |
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315 | return value |
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316 | except: |
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317 | raise |
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318 | |
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319 | def fill_description(self, p_model, s_model): |
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320 | """ |
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321 | Fill the description for P(Q)*S(Q) |
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322 | """ |
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323 | description = "" |
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324 | description += "Note:1) The radius_effective (effective radius) of %s \n"%\ |
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325 | (s_model.name) |
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326 | description += " is automatically calculated " |
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327 | description += "from size parameters (radius...).\n" |
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328 | description += " 2) For non-spherical shape, " |
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329 | description += "this approximation is valid \n" |
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330 | description += " only for limited systems. " |
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331 | description += "Thus, use it at your own risk.\n" |
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332 | description += "See %s description and %s description \n"% \ |
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333 | ( p_model.name, s_model.name ) |
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334 | description += " for details of individual models." |
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335 | self.description += description |
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