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51 | <h1>Source code for sas.models.TwoPowerLawModel</h1><div class="highlight"><pre> |
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52 | <span class="c">#!/usr/bin/env python</span> |
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53 | <span class="sd">""" </span> |
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54 | <span class="sd">Provide I(q) = A*pow(qval,-1.0*m1) for q<=qc</span> |
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55 | <span class="sd"> =scale*pow(qval,-1.0*m2) for q>qc</span> |
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56 | <span class="sd">TwoPowerLaw function as a BaseComponent model</span> |
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57 | <span class="sd">"""</span> |
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58 | |
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59 | <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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60 | <span class="kn">from</span> <span class="nn">numpy</span> <span class="kn">import</span> <span class="n">power</span> |
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61 | <span class="kn">import</span> <span class="nn">math</span> |
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62 | |
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63 | <div class="viewcode-block" id="TwoPowerLawModel"><a class="viewcode-back" href="../../../dev/api/sas.models.html#sas.models.TwoPowerLawModel.TwoPowerLawModel">[docs]</a><span class="k">class</span> <span class="nc">TwoPowerLawModel</span><span class="p">(</span><span class="n">BaseComponent</span><span class="p">):</span> |
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64 | <span class="sd">""" </span> |
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65 | <span class="sd"> Class that evaluates a TwoPowerLawModel.</span> |
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66 | |
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67 | <span class="sd"> I(q) = coef_A*pow(qval,-1.0*power1) for q<=qc</span> |
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68 | <span class="sd"> =C*pow(qval,-1.0*power2) for q>qc</span> |
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69 | <span class="sd"> where C=coef_A*pow(qc,-1.0*power1)/pow(qc,-1.0*power2).</span> |
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70 | <span class="sd"> </span> |
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71 | <span class="sd"> List of default parameters:</span> |
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72 | <span class="sd"> </span> |
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73 | <span class="sd"> * coef_A = coefficient</span> |
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74 | <span class="sd"> * power1 = (-) Power @ low Q</span> |
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75 | <span class="sd"> * power2 = (-) Power @ high Q</span> |
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76 | <span class="sd"> * qc = crossover Q-value</span> |
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77 | <span class="sd"> * background = incoherent background</span> |
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78 | <span class="sd"> """</span> |
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79 | |
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80 | <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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81 | <span class="sd">""" Initialization """</span> |
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82 | |
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83 | <span class="c"># Initialize BaseComponent first, then sphere</span> |
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84 | <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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85 | |
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86 | <span class="c">## Name of the model</span> |
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87 | <span class="bp">self</span><span class="o">.</span><span class="n">name</span> <span class="o">=</span> <span class="s">"TwoPowerLaw"</span> |
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88 | <span class="bp">self</span><span class="o">.</span><span class="n">description</span><span class="o">=</span><span class="s">"""I(q) = coef_A*pow(qval,-1.0*power1) for q<=qc</span> |
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89 | <span class="s"> =C*pow(qval,-1.0*power2) for q>qc</span> |
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90 | <span class="s"> where C=coef_A*pow(qc,-1.0*power1)/pow(qc,-1.0*power2).</span> |
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91 | <span class="s"> List of default parameters:</span> |
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92 | <span class="s"> coef_A = coefficient</span> |
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93 | <span class="s"> power1 = (-) Power @ low Q</span> |
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94 | <span class="s"> power2 = (-) Power @ high Q</span> |
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95 | <span class="s"> qc = crossover Q-value</span> |
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96 | <span class="s"> background = incoherent background</span> |
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97 | <span class="s"> """</span> |
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98 | <span class="c">## Define parameters</span> |
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99 | <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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100 | <span class="bp">self</span><span class="o">.</span><span class="n">params</span><span class="p">[</span><span class="s">'coef_A'</span><span class="p">]</span> <span class="o">=</span> <span class="mf">1.0</span> |
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101 | <span class="bp">self</span><span class="o">.</span><span class="n">params</span><span class="p">[</span><span class="s">'power1'</span><span class="p">]</span> <span class="o">=</span> <span class="mf">1.0</span> |
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102 | <span class="bp">self</span><span class="o">.</span><span class="n">params</span><span class="p">[</span><span class="s">'power2'</span><span class="p">]</span> <span class="o">=</span> <span class="mf">4.0</span> |
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103 | <span class="bp">self</span><span class="o">.</span><span class="n">params</span><span class="p">[</span><span class="s">'qc'</span><span class="p">]</span> <span class="o">=</span> <span class="mf">0.04</span> |
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104 | <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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105 | <span class="c">## Parameter details [units, min, max]</span> |
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106 | <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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107 | <span class="bp">self</span><span class="o">.</span><span class="n">details</span><span class="p">[</span><span class="s">'coef_A'</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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108 | <span class="bp">self</span><span class="o">.</span><span class="n">details</span><span class="p">[</span><span class="s">'power1'</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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109 | <span class="bp">self</span><span class="o">.</span><span class="n">details</span><span class="p">[</span><span class="s">'power2'</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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110 | <span class="bp">self</span><span class="o">.</span><span class="n">details</span><span class="p">[</span><span class="s">'qc'</span><span class="p">]</span> <span class="o">=</span> <span class="p">[</span><span class="s">'1/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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111 | <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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112 | |
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113 | <span class="c">#list of parameter that cannot be fitted</span> |
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114 | <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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115 | <span class="k">def</span> <span class="nf">_twopowerlaw</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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116 | <span class="sd">"""</span> |
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117 | <span class="sd"> Model definition</span> |
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118 | <span class="sd"> """</span> |
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119 | <span class="n">qc</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">'qc'</span><span class="p">]</span> |
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120 | <span class="k">if</span><span class="p">(</span><span class="n">x</span><span class="o"><=</span><span class="n">qc</span><span class="p">):</span> |
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121 | <span class="n">inten</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">'coef_A'</span><span class="p">]</span><span class="o">*</span><span class="n">power</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="o">-</span><span class="mf">1.0</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">'power1'</span><span class="p">])</span> |
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122 | <span class="k">else</span><span class="p">:</span> |
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123 | <span class="n">scale</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">'coef_A'</span><span class="p">]</span><span class="o">*</span><span class="n">power</span><span class="p">(</span><span class="n">qc</span><span class="p">,</span><span class="o">-</span><span class="mf">1.0</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">'power1'</span><span class="p">])</span> \ |
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124 | <span class="o">/</span> <span class="n">power</span><span class="p">(</span><span class="n">qc</span><span class="p">,</span><span class="o">-</span><span class="mf">1.0</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">'power2'</span><span class="p">])</span> |
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125 | <span class="n">inten</span> <span class="o">=</span> <span class="n">scale</span><span class="o">*</span><span class="n">power</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="o">-</span><span class="mf">1.0</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">'power2'</span><span class="p">])</span> |
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126 | <span class="n">inten</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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127 | |
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128 | <span class="k">return</span> <span class="n">inten</span> |
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129 | |
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130 | <div class="viewcode-block" id="TwoPowerLawModel.run"><a class="viewcode-back" href="../../../dev/api/sas.models.html#sas.models.TwoPowerLawModel.TwoPowerLawModel.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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131 | <span class="sd">""" Evaluate the model</span> |
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132 | <span class="sd"> @param x: input q-value (float or [float, float] as [r, theta])</span> |
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133 | <span class="sd"> @return: (guinier value)</span> |
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134 | <span class="sd"> """</span> |
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135 | <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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136 | <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_twopowerlaw</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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137 | <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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138 | <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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139 | <span class="k">else</span><span class="p">:</span> |
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140 | <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_twopowerlaw</span><span class="p">(</span><span class="n">x</span><span class="p">)</span> |
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141 | </div> |
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142 | <div class="viewcode-block" id="TwoPowerLawModel.runXY"><a class="viewcode-back" href="../../../dev/api/sas.models.html#sas.models.TwoPowerLawModel.TwoPowerLawModel.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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143 | <span class="sd">""" Evaluate the model</span> |
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144 | <span class="sd"> @param x: input q-value (float or [float, float] as [qx, qy])</span> |
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145 | <span class="sd"> @return: guinier value</span> |
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146 | <span class="sd"> """</span> |
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147 | <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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148 | <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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149 | <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_twopowerlaw</span><span class="p">(</span><span class="n">q</span><span class="p">)</span> |
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150 | <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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151 | <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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152 | <span class="k">else</span><span class="p">:</span> |
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153 | <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">_twopowerlaw</span><span class="p">(</span><span class="n">x</span><span class="p">)</span></div></div> |
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