1 | |
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2 | from sans.models.BaseComponent import BaseComponent |
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3 | from sans.models.ReflModel import ReflModel |
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4 | from copy import deepcopy |
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5 | from math import floor |
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6 | from scipy.special import erf |
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7 | func_list = {'Erf':0, 'Linear':1} |
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8 | max_nshells = 10 |
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9 | class ReflectivityModel(BaseComponent): |
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10 | """ |
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11 | This multi-model is based on Parratt formalism and provides the capability |
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12 | of changing the number of layers between 0 and 10. |
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13 | """ |
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14 | def __init__(self, multfactor=1): |
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15 | BaseComponent.__init__(self) |
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16 | """ |
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17 | :param multfactor: number of layers in the model, |
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18 | assumes 0<= n_shells <=10. |
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19 | """ |
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20 | |
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21 | ## Setting model name model description |
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22 | self.description="" |
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23 | model = ReflModel() |
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24 | self.model = model |
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25 | self.name = "ReflectivityModel" |
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26 | self.description=model.description |
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27 | self.n_layers = int(multfactor) |
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28 | ## Define parameters |
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29 | self.params = {} |
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30 | |
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31 | ## Parameter details [units, min, max] |
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32 | self.details = {} |
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33 | |
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34 | # non-fittable parameters |
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35 | self.non_fittable = model.non_fittable |
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36 | |
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37 | # list of function in order of the function number |
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38 | self.fun_list = self._get_func_list() |
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39 | ## dispersion |
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40 | self._set_dispersion() |
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41 | ## Define parameters |
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42 | self._set_params() |
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43 | |
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44 | ## Parameter details [units, min, max] |
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45 | self._set_details() |
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46 | |
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47 | #list of parameter that can be fitted |
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48 | self._set_fixed_params() |
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49 | self.model.params['n_layers'] = self.n_layers |
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50 | |
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51 | ## functional multiplicity info of the model |
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52 | # [int(maximum no. of functionality),"str(Titl), |
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53 | # [str(name of function0),...], [str(x-asix name of sld),...]] |
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54 | self.multiplicity_info = [max_nshells,"No. of Layers:",[],['Depth']] |
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55 | ## independent parameter name and unit [string] |
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56 | self.input_name = "Q" |
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57 | self.input_unit = "A^{-1}" |
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58 | ## output name and unit [string] |
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59 | self.output_name = "Reflectivity" |
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60 | self.output_unit = "" |
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61 | |
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62 | def _clone(self, obj): |
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63 | """ |
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64 | Internal utility function to copy the internal |
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65 | data members to a fresh copy. |
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66 | """ |
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67 | obj.params = deepcopy(self.params) |
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68 | obj.non_fittable = deepcopy(self.non_fittable) |
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69 | obj.description = deepcopy(self.description) |
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70 | obj.details = deepcopy(self.details) |
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71 | obj.dispersion = deepcopy(self.dispersion) |
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72 | obj.model = self.model.clone() |
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73 | |
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74 | return obj |
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75 | |
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76 | |
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77 | def _set_dispersion(self): |
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78 | """ |
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79 | model dispersions |
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80 | """ |
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81 | ##set dispersion from model |
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82 | self.dispersion = {} |
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83 | |
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84 | |
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85 | def _set_params(self): |
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86 | """ |
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87 | Concatenate the parameters of the model to create |
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88 | this model parameters |
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89 | """ |
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90 | # rearrange the parameters for the given # of shells |
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91 | for name , value in self.model.params.iteritems(): |
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92 | n = 0 |
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93 | pos = len(name.split('_'))-1 |
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94 | if name.split('_')[0] == 'sldIM': |
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95 | continue |
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96 | elif name.split('_')[0] == 'func': |
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97 | n= -1 |
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98 | while n<self.n_layers: |
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99 | n += 1 |
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100 | if name.split('_')[pos] == 'inter%s' % str(n): |
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101 | self.params[name]=value |
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102 | continue |
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103 | #continue |
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104 | elif name.split('_')[pos][0:5] == 'inter': |
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105 | n= -1 |
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106 | while n<self.n_layers: |
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107 | n += 1 |
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108 | if name.split('_')[pos] == 'inter%s' % str(n): |
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109 | self.params[name]= value |
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110 | continue |
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111 | elif name.split('_')[pos][0:4] == 'flat': |
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112 | while n<self.n_layers: |
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113 | n += 1 |
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114 | if name.split('_')[pos] == 'flat%s' % str(n): |
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115 | self.params[name]= value |
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116 | continue |
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117 | elif name == 'n_layers': |
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118 | continue |
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119 | else: |
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120 | self.params[name]= value |
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121 | |
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122 | self.model.params['n_layers'] = self.n_layers |
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123 | |
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124 | # set constrained values for the original model params |
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125 | self._set_xtra_model_param() |
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126 | |
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127 | def _set_details(self): |
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128 | """ |
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129 | Concatenate details of the original model to create |
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130 | this model details |
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131 | """ |
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132 | for name ,detail in self.model.details.iteritems(): |
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133 | if name in self.params.iterkeys(): |
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134 | self.details[name]= detail |
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135 | |
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136 | |
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137 | def _set_xtra_model_param(self): |
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138 | """ |
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139 | Set params of original model that are hidden from this model |
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140 | """ |
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141 | # look for the model parameters that are not in param list |
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142 | for key in self.model.params.iterkeys(): |
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143 | if key not in self.params.keys(): |
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144 | if key.split('_')[0] == 'thick': |
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145 | self.model.setParam(key, 0) |
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146 | continue |
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147 | if key.split('_')[0] == 'func': |
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148 | self.model.setParam(key, 0) |
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149 | continue |
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150 | for nshell in range(self.n_layers,max_nshells): |
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151 | if key.split('_')[1] == 'flat%s' % str(nshell+1): |
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152 | try: |
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153 | if key.split('_')[0] == 'sld': |
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154 | value = self.model.params['sld_medium'] |
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155 | elif key.split('_')[0] == 'sldIM': |
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156 | value = self.model.params['sldIM_medium'] |
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157 | self.model.setParam(key, value) |
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158 | except: pass |
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159 | |
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160 | def _get_func_list(self): |
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161 | """ |
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162 | Get the list of functions in each layer (shell) |
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163 | """ |
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164 | #func_list = {} |
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165 | return func_list |
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166 | |
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167 | def getProfile(self): |
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168 | """ |
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169 | Get SLD profile |
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170 | |
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171 | : return: (z, beta) where z is a list of depth of the transition points |
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172 | beta is a list of the corresponding SLD values |
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173 | """ |
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174 | # max_pts for each layers |
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175 | n_sub = 21 |
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176 | z = [] |
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177 | beta = [] |
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178 | sub_range = int(floor(n_sub/2.0)) |
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179 | z.append(0) |
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180 | beta.append(self.params['sld_bottom0']) |
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181 | |
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182 | z0 = 0 |
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183 | # for layers from the top |
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184 | for n in range(1,self.n_layers+2): |
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185 | i = n |
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186 | |
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187 | for j in range(0,2): |
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188 | for n_s in range(-sub_range,sub_range+1): |
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189 | if j==1: |
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190 | if i==self.n_layers+1: |
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191 | break |
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192 | # shift half sub thickness for the first point |
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193 | z0 += dz/2.0 |
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194 | z.append(z0) |
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195 | #z0 -= dz/2.0 |
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196 | z0 += self.params['thick_flat%s'% str(i)] |
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197 | |
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198 | sld_i = self.params['sld_flat%s'% str(i)] |
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199 | beta.append(self.params['sld_flat%s'% str(i)]) |
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200 | else: |
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201 | |
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202 | dz = self.params['thick_inter%s'% str(i-1)]/n_sub |
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203 | |
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204 | if n_s == -sub_range: |
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205 | # shift half sub thickness for the first point |
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206 | z0 -= dz/2.0 |
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207 | #exec "dz = self.params['thick_inter[%s-1]'% str(i)]/9" |
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208 | #print "%d = %g \n"% (i,self.params['thick_inter3']) |
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209 | z0 += dz |
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210 | |
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211 | if i == 1: |
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212 | sld_l = self.params['sld_bottom0'] |
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213 | else: |
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214 | sld_l = self.params['sld_flat%s'% str(i-1)] |
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215 | if i == self.n_layers+1: |
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216 | sld_r = self.params['sld_medium'] |
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217 | else: |
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218 | sld_r = self.params['sld_flat%s'% str(i)] |
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219 | func_idx = self.params['func_inter%s'% str(i-1)] |
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220 | func = self._get_func(n_s, n_sub, func_idx) |
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221 | if sld_r>sld_l: |
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222 | sld_i = (sld_r-sld_l)*func+sld_l |
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223 | elif sld_r<sld_l: |
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224 | sld_i = (sld_l-sld_r)*(1-func)+sld_r |
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225 | else: |
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226 | sld_i = sld_r |
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227 | z.append(z0) |
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228 | beta.append(sld_i) |
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229 | if j==1: break |
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230 | # put substrate and superstrate profile |
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231 | # shift half sub thickness for the first point |
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232 | z0 += dz/2.0 |
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233 | z.append(z0) |
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234 | beta.append(self.params['sld_medium']) |
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235 | z_ext = z0/6.0 |
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236 | |
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237 | # put the extra points for the substrate |
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238 | # and superstrate |
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239 | z.append(z0+z_ext) |
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240 | beta.append(self.params['sld_medium']) |
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241 | z.insert(0,-z_ext) |
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242 | beta.insert(0,self.params['sld_bottom0']) |
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243 | z = [z0 - x for x in z] |
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244 | z.reverse() |
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245 | beta.reverse() |
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246 | return z, beta |
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247 | |
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248 | def _get_func(self, index, n_sub, func_idx): |
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249 | """ |
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250 | Get the function asked to buil sld profile |
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251 | : param index: index of sub_layer |
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252 | : param n_sub: total number of sub_layer |
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253 | : param func_idx: an integer to identify a function |
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254 | |
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255 | : return out: the output from the function, float |
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256 | """ |
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257 | # cal bin_size |
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258 | bin_size = 1.0/n_sub |
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259 | # erf |
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260 | if func_idx == 0: |
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261 | out = erf(index/(n_sub/5.0))/2.0 + 0.5 |
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262 | return out |
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263 | else: |
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264 | index += 0.5 |
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265 | # linear |
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266 | if func_idx == 1: |
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267 | out = ((index + floor(n_sub/2.0))*bin_size) |
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268 | # r_parabolic |
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269 | elif func_idx == 2: |
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270 | out = ((index + floor(n_sub/2.0))*bin_size)* \ |
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271 | ((index + floor(n_sub/2.0))*bin_size) |
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272 | # l_parabolic |
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273 | elif func_idx == 3: |
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274 | out = 1.0-(((index + floor(n_sub/2.0))*bin_size) - 1.0) *\ |
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275 | (((index + floor(n_sub/2.0))*bin_size) - 1.0) |
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276 | # r_cubic |
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277 | elif func_idx == 4: |
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278 | out = ((index + floor(n_sub/2.0))*bin_size)* \ |
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279 | ((index + floor(n_sub/2.0))*bin_size)* \ |
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280 | ((index + floor(n_sub/2.0))*bin_size) |
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281 | # l_cubic |
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282 | elif func_idx == 5: |
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283 | out = 1.0+(((index + floor(n_sub/2.0)))*bin_size - 1.0) *\ |
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284 | (((index + floor(n_sub/2.0)))*bin_size - 1.0) *\ |
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285 | (((index + floor(n_sub/2.0)))*bin_size - 1.0) |
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286 | # return output |
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287 | return out |
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288 | |
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289 | def setParam(self, name, value): |
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290 | """ |
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291 | Set the value of a model parameter |
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292 | |
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293 | : param name: name of the parameter |
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294 | : param value: value of the parameter |
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295 | """ |
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296 | # set param to new model |
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297 | self._setParamHelper( name, value) |
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298 | |
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299 | ## setParam to model |
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300 | if name=='sld_medium': |
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301 | # the sld_*** model.params not in params must set |
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302 | # to value of sld_solv |
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303 | for key in self.model.params.iterkeys(): |
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304 | if key not in self.params.keys()and key.split('_')[0] == 'sld': |
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305 | self.model.setParam(key, value) |
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306 | |
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307 | self.model.setParam( name, value) |
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308 | |
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309 | def _setParamHelper(self, name, value): |
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310 | """ |
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311 | Helper function to setParam |
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312 | """ |
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313 | |
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314 | # Look for standard parameter |
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315 | for item in self.params.keys(): |
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316 | if item.lower()==name.lower(): |
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317 | self.params[item] = value |
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318 | return |
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319 | |
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320 | raise ValueError, "Model does not contain parameter %s" % name |
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321 | |
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322 | |
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323 | def _set_fixed_params(self): |
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324 | """ |
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325 | Fill the self.fixed list with the model fixed list |
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326 | """ |
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327 | pass |
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328 | |
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329 | def run(self, x = 0.0): |
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330 | """ |
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331 | Evaluate the model |
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332 | |
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333 | :param x: input q, or [q,phi] |
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334 | |
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335 | :return: scattering function P(q) |
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336 | |
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337 | """ |
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338 | |
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339 | return self.model.run(x) |
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340 | |
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341 | def runXY(self, x = 0.0): |
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342 | """ |
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343 | Evaluate the model |
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344 | |
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345 | : param x: input q-value (float or [float, float] as [qx, qy]) |
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346 | : return: scattering function value |
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347 | """ |
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348 | |
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349 | return self.model.runXY(x) |
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350 | |
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351 | ## Now (May27,10) directly uses the model eval function |
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352 | ## instead of the for-loop in Base Component. |
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353 | def evalDistribution(self, x = []): |
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354 | """ |
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355 | Evaluate the model in cartesian coordinates |
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356 | |
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357 | : param x: input q[], or [qx[], qy[]] |
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358 | : return: scattering function P(q[]) |
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359 | """ |
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360 | # set effective radius and scaling factor before run |
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361 | return self.model.evalDistribution(x) |
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362 | def calculate_ER(self): |
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363 | """ |
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364 | """ |
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365 | return self.model.calculate_ER() |
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366 | def set_dispersion(self, parameter, dispersion): |
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367 | """ |
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368 | Set the dispersion object for a model parameter |
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369 | |
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370 | : param parameter: name of the parameter [string] |
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371 | :dispersion: dispersion object of type DispersionModel |
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372 | """ |
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373 | pass |
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