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51 | <h1>Source code for sas.models.PolymerExclVolume</h1><div class="highlight"><pre> |
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52 | <span class="c">#!/usr/bin/env python</span> |
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53 | |
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54 | <span class="c">##############################################################################</span> |
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55 | <span class="c"># This software was developed by the University of Tennessee as part of the</span> |
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56 | <span class="c"># Distributed Data Analysis of Neutron Scattering Experiments (DANSE)</span> |
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57 | <span class="c"># project funded by the US National Science Foundation.</span> |
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58 | <span class="c">#</span> |
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59 | <span class="c"># If you use DANSE applications to do scientific research that leads to</span> |
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60 | <span class="c"># publication, we ask that you acknowledge the use of the software with the</span> |
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61 | <span class="c"># following sentence:</span> |
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62 | <span class="c">#</span> |
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63 | <span class="c"># "This work benefited from DANSE software developed under NSF award DMR-0520547."</span> |
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64 | <span class="c">#</span> |
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65 | <span class="c"># copyright 2008, University of Tennessee</span> |
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66 | <span class="c">##############################################################################</span> |
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67 | <span class="kn">from</span> <span class="nn">sas.models.BaseComponent</span> <span class="kn">import</span> <span class="n">BaseComponent</span> |
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68 | <span class="kn">from</span> <span class="nn">scipy.special</span> <span class="kn">import</span> <span class="n">gammainc</span><span class="p">,</span><span class="n">gamma</span> |
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69 | <span class="kn">import</span> <span class="nn">copy</span> |
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70 | <span class="kn">import</span> <span class="nn">math</span> |
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71 | |
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72 | <div class="viewcode-block" id="PolymerExclVolume"><a class="viewcode-back" href="../../../dev/api/sas.models.html#sas.models.PolymerExclVolume.PolymerExclVolume">[docs]</a><span class="k">class</span> <span class="nc">PolymerExclVolume</span><span class="p">(</span><span class="n">BaseComponent</span><span class="p">):</span> |
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73 | <span class="sd">""" </span> |
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74 | <span class="sd"> Class that evaluates a PolymerExclVolModel model. </span> |
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75 | <span class="sd"> This file was auto-generated from ..\c_extensions\polyexclvol.h.</span> |
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76 | <span class="sd"> Refer to that file and the structure it contains</span> |
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77 | <span class="sd"> for details of the model.</span> |
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78 | |
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79 | <span class="sd"> List of default parameters:</span> |
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80 | <span class="sd"> </span> |
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81 | <span class="sd"> * scale = 0.01 </span> |
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82 | <span class="sd"> * rg = 100.0 [A]</span> |
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83 | <span class="sd"> * m = 3.0 </span> |
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84 | <span class="sd"> * background = 0.0 [1/cm]</span> |
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85 | |
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86 | <span class="sd"> """</span> |
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87 | |
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88 | <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> |
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89 | <span class="sd">""" Initialization """</span> |
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90 | |
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91 | <span class="c"># Initialize BaseComponent first, then sphere</span> |
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92 | <span class="n">BaseComponent</span><span class="o">.</span><span class="n">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">)</span> |
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93 | |
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94 | <span class="c">## Name of the model</span> |
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95 | <span class="bp">self</span><span class="o">.</span><span class="n">name</span> <span class="o">=</span> <span class="s">"PolymerExclVolume"</span> |
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96 | <span class="c">## Model description</span> |
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97 | <span class="bp">self</span><span class="o">.</span><span class="n">description</span> <span class="o">=</span><span class="s">""" Compute the scattering intensity from polymers with excluded volume effects.</span> |
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98 | <span class="s"> scale: scale factor times volume fraction,</span> |
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99 | <span class="s"> or just volume fraction for absolute scale data</span> |
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100 | <span class="s"> rg: radius of gyration</span> |
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101 | <span class="s"> m = Porod exponent</span> |
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102 | <span class="s"> background: incoherent background</span> |
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103 | <span class="s"> """</span> |
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104 | <span class="c">## Define parameters</span> |
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105 | <span class="bp">self</span><span class="o">.</span><span class="n">params</span> <span class="o">=</span> <span class="p">{}</span> |
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106 | <span class="bp">self</span><span class="o">.</span><span class="n">params</span><span class="p">[</span><span class="s">'scale'</span><span class="p">]</span> <span class="o">=</span> <span class="mf">1.0</span> |
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107 | <span class="bp">self</span><span class="o">.</span><span class="n">params</span><span class="p">[</span><span class="s">'rg'</span><span class="p">]</span> <span class="o">=</span> <span class="mf">60.0</span> |
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108 | <span class="bp">self</span><span class="o">.</span><span class="n">params</span><span class="p">[</span><span class="s">'m'</span><span class="p">]</span> <span class="o">=</span> <span class="mf">3.0</span> |
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109 | <span class="bp">self</span><span class="o">.</span><span class="n">params</span><span class="p">[</span><span class="s">'background'</span><span class="p">]</span> <span class="o">=</span> <span class="mf">0.0</span> |
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110 | |
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111 | |
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112 | <span class="c">## Parameter details [units, min, max]</span> |
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113 | <span class="bp">self</span><span class="o">.</span><span class="n">details</span> <span class="o">=</span> <span class="p">{}</span> |
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114 | <span class="bp">self</span><span class="o">.</span><span class="n">details</span><span class="p">[</span><span class="s">'scale'</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="s">''</span><span class="p">,</span> <span class="bp">None</span><span class="p">,</span> <span class="bp">None</span><span class="p">]</span> |
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115 | <span class="bp">self</span><span class="o">.</span><span class="n">details</span><span class="p">[</span><span class="s">'rg'</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="s">'[A]'</span><span class="p">,</span> <span class="bp">None</span><span class="p">,</span> <span class="bp">None</span><span class="p">]</span> |
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116 | <span class="bp">self</span><span class="o">.</span><span class="n">details</span><span class="p">[</span><span class="s">'m'</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="s">''</span><span class="p">,</span> <span class="bp">None</span><span class="p">,</span> <span class="bp">None</span><span class="p">]</span> |
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117 | <span class="bp">self</span><span class="o">.</span><span class="n">details</span><span class="p">[</span><span class="s">'background'</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="s">'[1/cm]'</span><span class="p">,</span> <span class="bp">None</span><span class="p">,</span> <span class="bp">None</span><span class="p">]</span> |
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118 | |
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119 | <span class="c">## fittable parameters</span> |
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120 | <span class="bp">self</span><span class="o">.</span><span class="n">fixed</span><span class="o">=</span><span class="p">[]</span> |
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121 | |
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122 | <span class="c">## non-fittable parameters</span> |
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123 | <span class="bp">self</span><span class="o">.</span><span class="n">non_fittable</span><span class="o">=</span><span class="p">[]</span> |
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124 | |
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125 | <span class="c">## parameters with orientation</span> |
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126 | <span class="bp">self</span><span class="o">.</span><span class="n">orientation_params</span> <span class="o">=</span><span class="p">[]</span> |
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127 | |
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128 | <span class="k">def</span> <span class="nf">_polymerexclvol</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span> |
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129 | |
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130 | <span class="n">sc</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">params</span><span class="p">[</span><span class="s">'scale'</span><span class="p">]</span> |
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131 | <span class="n">rg</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">params</span><span class="p">[</span><span class="s">'rg'</span><span class="p">]</span> |
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132 | <span class="n">mm</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">params</span><span class="p">[</span><span class="s">'m'</span><span class="p">]</span> |
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133 | <span class="n">bg</span> <span class="o">=</span> <span class="bp">self</span><span class="o">.</span><span class="n">params</span><span class="p">[</span><span class="s">'background'</span><span class="p">]</span> |
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134 | |
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135 | <span class="n">nu</span> <span class="o">=</span> <span class="mf">1.0</span> <span class="o">/</span> <span class="n">mm</span> |
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136 | |
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137 | <span class="n">Xx</span> <span class="o">=</span> <span class="n">x</span> <span class="o">*</span> <span class="n">x</span> <span class="o">*</span> <span class="n">rg</span> <span class="o">*</span> <span class="n">rg</span> <span class="o">*</span><span class="p">(</span><span class="mf">2.0</span> <span class="o">*</span> <span class="n">nu</span> <span class="o">+</span> <span class="mf">1.0</span><span class="p">)</span> <span class="o">*</span> <span class="p">(</span><span class="mf">2.0</span> <span class="o">*</span> <span class="n">nu</span> <span class="o">+</span> <span class="mf">2.0</span><span class="p">)</span> <span class="o">/</span> <span class="mf">6.0</span> |
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138 | <span class="n">onu</span> <span class="o">=</span> <span class="mf">1.0</span> <span class="o">/</span> <span class="n">nu</span> |
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139 | <span class="n">o2nu</span> <span class="o">=</span> <span class="mf">1.0</span> <span class="o">/</span><span class="p">(</span><span class="mf">2.0</span> <span class="o">*</span> <span class="n">nu</span><span class="p">)</span> |
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140 | <span class="n">Ps</span> <span class="o">=</span><span class="p">(</span><span class="mf">1.0</span> <span class="o">/</span> <span class="p">(</span><span class="n">nu</span> <span class="o">*</span> <span class="nb">pow</span><span class="p">(</span><span class="n">Xx</span><span class="p">,</span><span class="n">o2nu</span><span class="p">)))</span> <span class="o">*</span> <span class="p">(</span><span class="n">gamma</span><span class="p">(</span><span class="n">o2nu</span><span class="p">)</span><span class="o">*</span><span class="n">gammainc</span><span class="p">(</span><span class="n">o2nu</span><span class="p">,</span><span class="n">Xx</span><span class="p">)</span> <span class="o">-</span> \ |
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141 | <span class="mf">1.0</span> <span class="o">/</span> <span class="nb">pow</span><span class="p">(</span><span class="n">Xx</span><span class="p">,</span><span class="n">o2nu</span><span class="p">)</span> <span class="o">*</span> <span class="n">gamma</span><span class="p">(</span><span class="n">onu</span><span class="p">)</span><span class="o">*</span><span class="n">gammainc</span><span class="p">(</span><span class="n">onu</span><span class="p">,</span><span class="n">Xx</span><span class="p">))</span> |
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142 | |
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143 | <span class="k">if</span> <span class="n">x</span> <span class="o">==</span> <span class="mi">0</span><span class="p">:</span> |
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144 | <span class="n">Ps</span> <span class="o">=</span> <span class="mf">1.0</span> |
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145 | |
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146 | <span class="k">return</span> <span class="p">(</span><span class="n">sc</span> <span class="o">*</span> <span class="n">Ps</span> <span class="o">+</span> <span class="n">bg</span><span class="p">);</span> |
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147 | |
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148 | <div class="viewcode-block" id="PolymerExclVolume.run"><a class="viewcode-back" href="../../../dev/api/sas.models.html#sas.models.PolymerExclVolume.PolymerExclVolume.run">[docs]</a> <span class="k">def</span> <span class="nf">run</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span> <span class="o">=</span> <span class="mf">0.0</span><span class="p">):</span> |
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149 | <span class="sd">""" Evaluate the model</span> |
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150 | <span class="sd"> @param x: input q-value (float or [float, float] as [r, theta])</span> |
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151 | <span class="sd"> @return: (guinier value)</span> |
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152 | <span class="sd"> """</span> |
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153 | <span class="k">if</span> <span class="n">x</span><span class="o">.</span><span class="n">__class__</span><span class="o">.</span><span class="n">__name__</span> <span class="o">==</span> <span class="s">'list'</span><span class="p">:</span> |
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154 | <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_polymerexclvol</span><span class="p">(</span><span class="n">x</span><span class="p">[</span><span class="mi">0</span><span class="p">])</span> |
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155 | <span class="k">elif</span> <span class="n">x</span><span class="o">.</span><span class="n">__class__</span><span class="o">.</span><span class="n">__name__</span> <span class="o">==</span> <span class="s">'tuple'</span><span class="p">:</span> |
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156 | <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="s">"Tuples are not allowed as input to BaseComponent models"</span> |
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157 | <span class="k">else</span><span class="p">:</span> |
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158 | <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_polymerexclvol</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> |
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159 | </div> |
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160 | <div class="viewcode-block" id="PolymerExclVolume.runXY"><a class="viewcode-back" href="../../../dev/api/sas.models.html#sas.models.PolymerExclVolume.PolymerExclVolume.runXY">[docs]</a> <span class="k">def</span> <span class="nf">runXY</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span> <span class="o">=</span> <span class="mf">0.0</span><span class="p">):</span> |
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161 | <span class="sd">""" Evaluate the model</span> |
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162 | <span class="sd"> @param x: input q-value (float or [float, float] as [qx, qy])</span> |
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163 | <span class="sd"> @return: guinier value</span> |
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164 | <span class="sd"> """</span> |
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165 | <span class="k">if</span> <span class="n">x</span><span class="o">.</span><span class="n">__class__</span><span class="o">.</span><span class="n">__name__</span> <span class="o">==</span> <span class="s">'list'</span><span class="p">:</span> |
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166 | <span class="n">q</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">x</span><span class="p">[</span><span class="mi">0</span><span class="p">]</span><span class="o">**</span><span class="mi">2</span> <span class="o">+</span> <span class="n">x</span><span class="p">[</span><span class="mi">1</span><span class="p">]</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span> |
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167 | <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_polymerexclvol</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> |
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168 | <span class="k">elif</span> <span class="n">x</span><span class="o">.</span><span class="n">__class__</span><span class="o">.</span><span class="n">__name__</span> <span class="o">==</span> <span class="s">'tuple'</span><span class="p">:</span> |
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169 | <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="s">"Tuples are not allowed as input to BaseComponent models"</span> |
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170 | <span class="k">else</span><span class="p">:</span> |
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171 | <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_polymerexclvol</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> |
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172 | |
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173 | |
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174 | |
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175 | <span class="c"># End of file</span></div></div> |
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176 | </pre></div> |
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177 | |
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