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55 | |
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56 | <div class="section" id="invertor"> |
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57 | <h1>invertor<a class="headerlink" href="#invertor" title="Permalink to this headline">¶</a></h1> |
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58 | <div class="section" id="module-sans.pr.invertor"> |
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59 | <span id="sans-pr-invertor"></span><h2><a class="reference internal" href="#module-sans.pr.invertor" title="sans.pr.invertor"><tt class="xref py py-mod docutils literal"><span class="pre">sans.pr.invertor</span></tt></a><a class="headerlink" href="#module-sans.pr.invertor" title="Permalink to this headline">¶</a></h2> |
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60 | <p>Module to perform P(r) inversion. |
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61 | The module contains the Invertor class.</p> |
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62 | <dl class="class"> |
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63 | <dt id="sans.pr.invertor.Invertor"> |
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64 | <em class="property">class </em><tt class="descclassname">sans.pr.invertor.</tt><tt class="descname">Invertor</tt><a class="headerlink" href="#sans.pr.invertor.Invertor" title="Permalink to this definition">¶</a></dt> |
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65 | <dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">Cinvertor</span></tt></p> |
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66 | <p>Invertor class to perform P(r) inversion</p> |
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67 | <p>The problem is solved by posing the problem as Ax = b, |
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68 | where x is the set of coefficients we are looking for.</p> |
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69 | <p>Npts is the number of points.</p> |
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70 | <p>In the following i refers to the ith base function coefficient. |
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71 | The matrix has its entries j in its first Npts rows set to</p> |
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72 | <blockquote> |
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73 | <div>A[j][i] = (Fourier transformed base function for point j)</div></blockquote> |
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74 | <p>We them choose a number of r-points, n_r, to evaluate the second |
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75 | derivative of P(r) at. This is used as our regularization term. |
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76 | For a vector r of length n_r, the following n_r rows are set to</p> |
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77 | <blockquote> |
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78 | <div>A[j+Npts][i] = (2nd derivative of P(r), d**2(P(r))/d(r)**2, |
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79 | evaluated at r[j])</div></blockquote> |
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80 | <dl class="docutils"> |
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81 | <dt>The vector b has its first Npts entries set to</dt> |
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82 | <dd>b[j] = (I(q) observed for point j)</dd> |
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83 | </dl> |
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84 | <p>The following n_r entries are set to zero.</p> |
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85 | <p>The result is found by using scipy.linalg.basic.lstsq to invert |
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86 | the matrix and find the coefficients x.</p> |
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87 | <p>Methods inherited from Cinvertor: |
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88 | - get_peaks(pars): returns the number of P(r) peaks |
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89 | - oscillations(pars): returns the oscillation parameters for the output P(r) |
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90 | - get_positive(pars): returns the fraction of P(r) that is above zero |
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91 | - get_pos_err(pars): returns the fraction of P(r) that is 1-sigma above zero</p> |
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92 | <dl class="attribute"> |
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93 | <dt id="sans.pr.invertor.Invertor.basefunc_ft"> |
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94 | <tt class="descname">basefunc_ft</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.basefunc_ft" title="Permalink to this definition">¶</a></dt> |
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95 | <dd><p>Returns the value of the nth Fourier transofrmed base function |
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96 | @param args: c-parameters, n and q |
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97 | @return: nth Fourier transformed base function, evaluated at q</p> |
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98 | </dd></dl> |
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99 | |
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100 | <dl class="method"> |
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101 | <dt id="sans.pr.invertor.Invertor.clone"> |
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102 | <tt class="descname">clone</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.pr.invertor.Invertor.clone" title="Permalink to this definition">¶</a></dt> |
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103 | <dd><p>Return a clone of this instance</p> |
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104 | </dd></dl> |
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105 | |
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106 | <dl class="method"> |
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107 | <dt id="sans.pr.invertor.Invertor.estimate_alpha"> |
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108 | <tt class="descname">estimate_alpha</tt><big>(</big><em>nfunc</em><big>)</big><a class="headerlink" href="#sans.pr.invertor.Invertor.estimate_alpha" title="Permalink to this definition">¶</a></dt> |
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109 | <dd><p>Returns a reasonable guess for the |
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110 | regularization constant alpha</p> |
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111 | <table class="docutils field-list" frame="void" rules="none"> |
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112 | <col class="field-name" /> |
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113 | <col class="field-body" /> |
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114 | <tbody valign="top"> |
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115 | <tr class="field"><th class="field-name">Parameters:</th><td class="field-body"><strong>nfunc</strong> – number of terms to use in the expansion.</td> |
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116 | </tr> |
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117 | <tr class="field"><th class="field-name">Returns:</th><td class="field-body">alpha, message, elapsed</td> |
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118 | </tr> |
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119 | </tbody> |
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120 | </table> |
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121 | <p>where alpha is the estimate for alpha, |
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122 | message is a message for the user, |
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123 | elapsed is the computation time</p> |
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124 | </dd></dl> |
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125 | |
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126 | <dl class="method"> |
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127 | <dt id="sans.pr.invertor.Invertor.estimate_numterms"> |
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128 | <tt class="descname">estimate_numterms</tt><big>(</big><em>isquit_func=None</em><big>)</big><a class="headerlink" href="#sans.pr.invertor.Invertor.estimate_numterms" title="Permalink to this definition">¶</a></dt> |
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129 | <dd><p>Returns a reasonable guess for the |
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130 | number of terms</p> |
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131 | <table class="docutils field-list" frame="void" rules="none"> |
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132 | <col class="field-name" /> |
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133 | <col class="field-body" /> |
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134 | <tbody valign="top"> |
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135 | <tr class="field"><th class="field-name">Parameters:</th><td class="field-body"><strong>isquit_func</strong> – reference to thread function to call to |
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136 | check whether the computation needs to |
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137 | be stopped.</td> |
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138 | </tr> |
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139 | <tr class="field"><th class="field-name">Returns:</th><td class="field-body">number of terms, alpha, message</td> |
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140 | </tr> |
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141 | </tbody> |
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142 | </table> |
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143 | </dd></dl> |
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144 | |
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145 | <dl class="method"> |
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146 | <dt id="sans.pr.invertor.Invertor.from_file"> |
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147 | <tt class="descname">from_file</tt><big>(</big><em>path</em><big>)</big><a class="headerlink" href="#sans.pr.invertor.Invertor.from_file" title="Permalink to this definition">¶</a></dt> |
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148 | <dd><p>Load the state of the Invertor from a file, |
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149 | to be able to generate P(r) from a set of |
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150 | parameters.</p> |
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151 | <table class="docutils field-list" frame="void" rules="none"> |
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152 | <col class="field-name" /> |
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153 | <col class="field-body" /> |
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154 | <tbody valign="top"> |
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155 | <tr class="field"><th class="field-name">Parameters:</th><td class="field-body"><strong>path</strong> – path of the file to load</td> |
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156 | </tr> |
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157 | </tbody> |
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158 | </table> |
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159 | </dd></dl> |
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160 | |
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161 | <dl class="attribute"> |
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162 | <dt id="sans.pr.invertor.Invertor.get_alpha"> |
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163 | <tt class="descname">get_alpha</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.get_alpha" title="Permalink to this definition">¶</a></dt> |
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164 | <dd><p>Gets the alpha parameter</p> |
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165 | </dd></dl> |
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166 | |
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167 | <dl class="attribute"> |
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168 | <dt id="sans.pr.invertor.Invertor.get_dmax"> |
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169 | <tt class="descname">get_dmax</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.get_dmax" title="Permalink to this definition">¶</a></dt> |
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170 | <dd><p>Gets the maximum distance</p> |
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171 | </dd></dl> |
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172 | |
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173 | <dl class="attribute"> |
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174 | <dt id="sans.pr.invertor.Invertor.get_err"> |
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175 | <tt class="descname">get_err</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.get_err" title="Permalink to this definition">¶</a></dt> |
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176 | <dd><p>Function to get the err data |
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177 | Takes an array of doubles as input.</p> |
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178 | <blockquote> |
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179 | <div>@return: number of entries found</div></blockquote> |
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180 | </dd></dl> |
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181 | |
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182 | <dl class="attribute"> |
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183 | <dt id="sans.pr.invertor.Invertor.get_has_bck"> |
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184 | <tt class="descname">get_has_bck</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.get_has_bck" title="Permalink to this definition">¶</a></dt> |
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185 | <dd><p>Gets background flag</p> |
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186 | </dd></dl> |
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187 | |
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188 | <dl class="attribute"> |
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189 | <dt id="sans.pr.invertor.Invertor.get_nerr"> |
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190 | <tt class="descname">get_nerr</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.get_nerr" title="Permalink to this definition">¶</a></dt> |
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191 | <dd><p>Gets the number of err points</p> |
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192 | </dd></dl> |
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193 | |
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194 | <dl class="attribute"> |
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195 | <dt id="sans.pr.invertor.Invertor.get_nx"> |
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196 | <tt class="descname">get_nx</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.get_nx" title="Permalink to this definition">¶</a></dt> |
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197 | <dd><p>Gets the number of x points</p> |
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198 | </dd></dl> |
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199 | |
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200 | <dl class="attribute"> |
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201 | <dt id="sans.pr.invertor.Invertor.get_ny"> |
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202 | <tt class="descname">get_ny</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.get_ny" title="Permalink to this definition">¶</a></dt> |
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203 | <dd><p>Gets the number of y points</p> |
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204 | </dd></dl> |
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205 | |
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206 | <dl class="attribute"> |
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207 | <dt id="sans.pr.invertor.Invertor.get_peaks"> |
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208 | <tt class="descname">get_peaks</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.get_peaks" title="Permalink to this definition">¶</a></dt> |
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209 | <dd><p>Returns the number of peaks in the output P(r) distrubution |
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210 | for the given set of coefficients.</p> |
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211 | <blockquote> |
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212 | <div>@param args: c-parameters |
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213 | @return: number of P(r) peaks</div></blockquote> |
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214 | </dd></dl> |
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215 | |
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216 | <dl class="attribute"> |
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217 | <dt id="sans.pr.invertor.Invertor.get_pos_err"> |
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218 | <tt class="descname">get_pos_err</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.get_pos_err" title="Permalink to this definition">¶</a></dt> |
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219 | <dd><p>Returns the fraction of P(r) that is 1 standard deviation |
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220 | above zero over the full range of r for the given set of coefficients.</p> |
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221 | <blockquote> |
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222 | <div>@param args: c-parameters |
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223 | @return: fraction of P(r) that is positive</div></blockquote> |
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224 | </dd></dl> |
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225 | |
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226 | <dl class="attribute"> |
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227 | <dt id="sans.pr.invertor.Invertor.get_positive"> |
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228 | <tt class="descname">get_positive</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.get_positive" title="Permalink to this definition">¶</a></dt> |
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229 | <dd><p>Returns the fraction of P(r) that is positive over |
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230 | the full range of r for the given set of coefficients.</p> |
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231 | <blockquote> |
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232 | <div>@param args: c-parameters |
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233 | @return: fraction of P(r) that is positive</div></blockquote> |
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234 | </dd></dl> |
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235 | |
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236 | <dl class="attribute"> |
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237 | <dt id="sans.pr.invertor.Invertor.get_pr_err"> |
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238 | <tt class="descname">get_pr_err</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.get_pr_err" title="Permalink to this definition">¶</a></dt> |
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239 | <dd><p>Function to call to evaluate P(r) with errors |
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240 | @param args: c-parameters and r |
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241 | @return: (P(r),dP(r))</p> |
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242 | </dd></dl> |
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243 | |
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244 | <dl class="attribute"> |
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245 | <dt id="sans.pr.invertor.Invertor.get_qmax"> |
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246 | <tt class="descname">get_qmax</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.get_qmax" title="Permalink to this definition">¶</a></dt> |
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247 | <dd><p>Gets the maximum q</p> |
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248 | </dd></dl> |
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249 | |
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250 | <dl class="attribute"> |
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251 | <dt id="sans.pr.invertor.Invertor.get_qmin"> |
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252 | <tt class="descname">get_qmin</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.get_qmin" title="Permalink to this definition">¶</a></dt> |
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253 | <dd><p>Gets the minimum q</p> |
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254 | </dd></dl> |
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255 | |
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256 | <dl class="attribute"> |
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257 | <dt id="sans.pr.invertor.Invertor.get_slit_height"> |
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258 | <tt class="descname">get_slit_height</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.get_slit_height" title="Permalink to this definition">¶</a></dt> |
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259 | <dd><p>Gets the slit height</p> |
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260 | </dd></dl> |
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261 | |
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262 | <dl class="attribute"> |
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263 | <dt id="sans.pr.invertor.Invertor.get_slit_width"> |
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264 | <tt class="descname">get_slit_width</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.get_slit_width" title="Permalink to this definition">¶</a></dt> |
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265 | <dd><p>Gets the slit width</p> |
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266 | </dd></dl> |
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267 | |
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268 | <dl class="attribute"> |
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269 | <dt id="sans.pr.invertor.Invertor.get_x"> |
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270 | <tt class="descname">get_x</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.get_x" title="Permalink to this definition">¶</a></dt> |
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271 | <dd><p>Function to get the x data |
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272 | Takes an array of doubles as input.</p> |
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273 | <blockquote> |
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274 | <div>@return: number of entries found</div></blockquote> |
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275 | </dd></dl> |
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276 | |
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277 | <dl class="attribute"> |
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278 | <dt id="sans.pr.invertor.Invertor.get_y"> |
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279 | <tt class="descname">get_y</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.get_y" title="Permalink to this definition">¶</a></dt> |
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280 | <dd><p>Function to get the y data |
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281 | Takes an array of doubles as input.</p> |
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282 | <blockquote> |
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283 | <div>@return: number of entries found</div></blockquote> |
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284 | </dd></dl> |
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285 | |
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286 | <dl class="method"> |
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287 | <dt id="sans.pr.invertor.Invertor.invert"> |
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288 | <tt class="descname">invert</tt><big>(</big><em>nfunc=10</em>, <em>nr=20</em><big>)</big><a class="headerlink" href="#sans.pr.invertor.Invertor.invert" title="Permalink to this definition">¶</a></dt> |
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289 | <dd><p>Perform inversion to P(r)</p> |
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290 | <p>The problem is solved by posing the problem as Ax = b, |
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291 | where x is the set of coefficients we are looking for.</p> |
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292 | <p>Npts is the number of points.</p> |
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293 | <p>In the following i refers to the ith base function coefficient. |
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294 | The matrix has its entries j in its first Npts rows set to</p> |
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295 | <blockquote> |
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296 | <div>A[i][j] = (Fourier transformed base function for point j)</div></blockquote> |
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297 | <p>We them choose a number of r-points, n_r, to evaluate the second |
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298 | derivative of P(r) at. This is used as our regularization term. |
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299 | For a vector r of length n_r, the following n_r rows are set to</p> |
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300 | <blockquote> |
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301 | <div>A[i+Npts][j] = (2nd derivative of P(r), d**2(P(r))/d(r)**2, evaluated at r[j])</div></blockquote> |
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302 | <dl class="docutils"> |
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303 | <dt>The vector b has its first Npts entries set to</dt> |
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304 | <dd>b[j] = (I(q) observed for point j)</dd> |
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305 | </dl> |
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306 | <p>The following n_r entries are set to zero.</p> |
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307 | <p>The result is found by using scipy.linalg.basic.lstsq to invert |
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308 | the matrix and find the coefficients x.</p> |
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309 | <table class="docutils field-list" frame="void" rules="none"> |
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310 | <col class="field-name" /> |
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311 | <col class="field-body" /> |
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312 | <tbody valign="top"> |
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313 | <tr class="field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple"> |
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314 | <li><strong>nfunc</strong> – number of base functions to use.</li> |
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315 | <li><strong>nr</strong> – number of r points to evaluate the 2nd derivative at for the reg. term.</li> |
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316 | </ul> |
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317 | </td> |
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318 | </tr> |
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319 | <tr class="field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">c_out, c_cov - the coefficients with covariance matrix</p> |
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320 | </td> |
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321 | </tr> |
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322 | </tbody> |
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323 | </table> |
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324 | </dd></dl> |
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325 | |
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326 | <dl class="method"> |
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327 | <dt id="sans.pr.invertor.Invertor.invert_optimize"> |
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328 | <tt class="descname">invert_optimize</tt><big>(</big><em>nfunc=10</em>, <em>nr=20</em><big>)</big><a class="headerlink" href="#sans.pr.invertor.Invertor.invert_optimize" title="Permalink to this definition">¶</a></dt> |
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329 | <dd><p>Slower version of the P(r) inversion that uses scipy.optimize.leastsq.</p> |
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330 | <p>This probably produce more reliable results, but is much slower. |
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331 | The minimization function is set to |
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332 | sum_i[ (I_obs(q_i) - I_theo(q_i))/err**2 ] + alpha * reg_term, |
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333 | where the reg_term is given by Svergun: it is the integral of |
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334 | the square of the first derivative |
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335 | of P(r), d(P(r))/dr, integrated over the full range of r.</p> |
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336 | <table class="docutils field-list" frame="void" rules="none"> |
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337 | <col class="field-name" /> |
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338 | <col class="field-body" /> |
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339 | <tbody valign="top"> |
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340 | <tr class="field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple"> |
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341 | <li><strong>nfunc</strong> – number of base functions to use.</li> |
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342 | <li><strong>nr</strong> – number of r points to evaluate the 2nd derivative at |
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343 | for the reg. term.</li> |
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344 | </ul> |
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345 | </td> |
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346 | </tr> |
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347 | <tr class="field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">c_out, c_cov - the coefficients with covariance matrix</p> |
---|
348 | </td> |
---|
349 | </tr> |
---|
350 | </tbody> |
---|
351 | </table> |
---|
352 | </dd></dl> |
---|
353 | |
---|
354 | <dl class="method"> |
---|
355 | <dt id="sans.pr.invertor.Invertor.iq"> |
---|
356 | <tt class="descname">iq</tt><big>(</big><em>out</em>, <em>q</em><big>)</big><a class="headerlink" href="#sans.pr.invertor.Invertor.iq" title="Permalink to this definition">¶</a></dt> |
---|
357 | <dd><p>Function to call to evaluate the scattering intensity</p> |
---|
358 | <table class="docutils field-list" frame="void" rules="none"> |
---|
359 | <col class="field-name" /> |
---|
360 | <col class="field-body" /> |
---|
361 | <tbody valign="top"> |
---|
362 | <tr class="field"><th class="field-name">Parameters:</th><td class="field-body"><strong>args</strong> – c-parameters, and q</td> |
---|
363 | </tr> |
---|
364 | <tr class="field"><th class="field-name">Returns:</th><td class="field-body">I(q)</td> |
---|
365 | </tr> |
---|
366 | </tbody> |
---|
367 | </table> |
---|
368 | </dd></dl> |
---|
369 | |
---|
370 | <dl class="attribute"> |
---|
371 | <dt id="sans.pr.invertor.Invertor.iq0"> |
---|
372 | <tt class="descname">iq0</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.iq0" title="Permalink to this definition">¶</a></dt> |
---|
373 | <dd><p>Returns the value of I(q=0). |
---|
374 | @param args: c-parameters |
---|
375 | @return: I(q=0)</p> |
---|
376 | </dd></dl> |
---|
377 | |
---|
378 | <dl class="attribute"> |
---|
379 | <dt id="sans.pr.invertor.Invertor.iq_smeared"> |
---|
380 | <tt class="descname">iq_smeared</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.iq_smeared" title="Permalink to this definition">¶</a></dt> |
---|
381 | <dd><p>Function to call to evaluate the scattering intensity. |
---|
382 | The scattering intensity is slit-smeared. @param args: c-parameters, and q</p> |
---|
383 | <blockquote> |
---|
384 | <div>@return: I(q)</div></blockquote> |
---|
385 | </dd></dl> |
---|
386 | |
---|
387 | <dl class="attribute"> |
---|
388 | <dt id="sans.pr.invertor.Invertor.is_valid"> |
---|
389 | <tt class="descname">is_valid</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.is_valid" title="Permalink to this definition">¶</a></dt> |
---|
390 | <dd><p>Check the validity of the stored data |
---|
391 | @return: Returns the number of points if it’s all good, -1 otherwise</p> |
---|
392 | </dd></dl> |
---|
393 | |
---|
394 | <dl class="method"> |
---|
395 | <dt id="sans.pr.invertor.Invertor.lstsq"> |
---|
396 | <tt class="descname">lstsq</tt><big>(</big><em>nfunc=5</em>, <em>nr=20</em><big>)</big><a class="headerlink" href="#sans.pr.invertor.Invertor.lstsq" title="Permalink to this definition">¶</a></dt> |
---|
397 | <dd><p>The problem is solved by posing the problem as Ax = b, |
---|
398 | where x is the set of coefficients we are looking for.</p> |
---|
399 | <p>Npts is the number of points.</p> |
---|
400 | <p>In the following i refers to the ith base function coefficient. |
---|
401 | The matrix has its entries j in its first Npts rows set to</p> |
---|
402 | <blockquote> |
---|
403 | <div>A[i][j] = (Fourier transformed base function for point j)</div></blockquote> |
---|
404 | <p>We them choose a number of r-points, n_r, to evaluate the second |
---|
405 | derivative of P(r) at. This is used as our regularization term. |
---|
406 | For a vector r of length n_r, the following n_r rows are set to</p> |
---|
407 | <blockquote> |
---|
408 | <div>A[i+Npts][j] = (2nd derivative of P(r), d**2(P(r))/d(r)**2, |
---|
409 | evaluated at r[j])</div></blockquote> |
---|
410 | <dl class="docutils"> |
---|
411 | <dt>The vector b has its first Npts entries set to</dt> |
---|
412 | <dd>b[j] = (I(q) observed for point j)</dd> |
---|
413 | </dl> |
---|
414 | <p>The following n_r entries are set to zero.</p> |
---|
415 | <p>The result is found by using scipy.linalg.basic.lstsq to invert |
---|
416 | the matrix and find the coefficients x.</p> |
---|
417 | <table class="docutils field-list" frame="void" rules="none"> |
---|
418 | <col class="field-name" /> |
---|
419 | <col class="field-body" /> |
---|
420 | <tbody valign="top"> |
---|
421 | <tr class="field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple"> |
---|
422 | <li><strong>nfunc</strong> – number of base functions to use.</li> |
---|
423 | <li><strong>nr</strong> – number of r points to evaluate the 2nd derivative at |
---|
424 | for the reg. term.</li> |
---|
425 | </ul> |
---|
426 | </td> |
---|
427 | </tr> |
---|
428 | </tbody> |
---|
429 | </table> |
---|
430 | <p>If the result does not allow us to compute the covariance matrix, |
---|
431 | a matrix filled with zeros will be returned.</p> |
---|
432 | </dd></dl> |
---|
433 | |
---|
434 | <dl class="attribute"> |
---|
435 | <dt id="sans.pr.invertor.Invertor.oscillations"> |
---|
436 | <tt class="descname">oscillations</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.oscillations" title="Permalink to this definition">¶</a></dt> |
---|
437 | <dd><p>Returns the value of the oscillation figure of merit for |
---|
438 | the given set of coefficients. For a sphere, the oscillation |
---|
439 | figure of merit is 1.1.</p> |
---|
440 | <blockquote> |
---|
441 | <div>@param args: c-parameters |
---|
442 | @return: oscillation figure of merit</div></blockquote> |
---|
443 | </dd></dl> |
---|
444 | |
---|
445 | <dl class="attribute"> |
---|
446 | <dt id="sans.pr.invertor.Invertor.pr"> |
---|
447 | <tt class="descname">pr</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.pr" title="Permalink to this definition">¶</a></dt> |
---|
448 | <dd><p>Function to call to evaluate P(r) |
---|
449 | @param args: c-parameters and r |
---|
450 | @return: P(r)</p> |
---|
451 | </dd></dl> |
---|
452 | |
---|
453 | <dl class="method"> |
---|
454 | <dt id="sans.pr.invertor.Invertor.pr_err"> |
---|
455 | <tt class="descname">pr_err</tt><big>(</big><em>c</em>, <em>c_cov</em>, <em>r</em><big>)</big><a class="headerlink" href="#sans.pr.invertor.Invertor.pr_err" title="Permalink to this definition">¶</a></dt> |
---|
456 | <dd><p>Returns the value of P(r) for a given r, and base function |
---|
457 | coefficients, with error.</p> |
---|
458 | <table class="docutils field-list" frame="void" rules="none"> |
---|
459 | <col class="field-name" /> |
---|
460 | <col class="field-body" /> |
---|
461 | <tbody valign="top"> |
---|
462 | <tr class="field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple"> |
---|
463 | <li><strong>c</strong> – base function coefficients</li> |
---|
464 | <li><strong>c_cov</strong> – covariance matrice of the base function coefficients</li> |
---|
465 | <li><strong>r</strong> – r-value to evaluate P(r) at</li> |
---|
466 | </ul> |
---|
467 | </td> |
---|
468 | </tr> |
---|
469 | <tr class="field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">P(r)</p> |
---|
470 | </td> |
---|
471 | </tr> |
---|
472 | </tbody> |
---|
473 | </table> |
---|
474 | </dd></dl> |
---|
475 | |
---|
476 | <dl class="method"> |
---|
477 | <dt id="sans.pr.invertor.Invertor.pr_fit"> |
---|
478 | <tt class="descname">pr_fit</tt><big>(</big><em>nfunc=5</em><big>)</big><a class="headerlink" href="#sans.pr.invertor.Invertor.pr_fit" title="Permalink to this definition">¶</a></dt> |
---|
479 | <dd><p>This is a direct fit to a given P(r). It assumes that the y data |
---|
480 | is set to some P(r) distribution that we are trying to reproduce |
---|
481 | with a set of base functions.</p> |
---|
482 | <p>This method is provided as a test.</p> |
---|
483 | </dd></dl> |
---|
484 | |
---|
485 | <dl class="attribute"> |
---|
486 | <dt id="sans.pr.invertor.Invertor.pr_residuals"> |
---|
487 | <tt class="descname">pr_residuals</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.pr_residuals" title="Permalink to this definition">¶</a></dt> |
---|
488 | <dd><p>Function to call to evaluate the residuals |
---|
489 | for P(r) minimization (for testing purposes)</p> |
---|
490 | <blockquote> |
---|
491 | <div>@param args: input parameters |
---|
492 | @return: list of residuals</div></blockquote> |
---|
493 | </dd></dl> |
---|
494 | |
---|
495 | <dl class="attribute"> |
---|
496 | <dt id="sans.pr.invertor.Invertor.residuals"> |
---|
497 | <tt class="descname">residuals</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.residuals" title="Permalink to this definition">¶</a></dt> |
---|
498 | <dd><p>Function to call to evaluate the residuals |
---|
499 | for P(r) inversion</p> |
---|
500 | <blockquote> |
---|
501 | <div>@param args: input parameters |
---|
502 | @return: list of residuals</div></blockquote> |
---|
503 | </dd></dl> |
---|
504 | |
---|
505 | <dl class="attribute"> |
---|
506 | <dt id="sans.pr.invertor.Invertor.rg"> |
---|
507 | <tt class="descname">rg</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.rg" title="Permalink to this definition">¶</a></dt> |
---|
508 | <dd><p>Returns the value of the radius of gyration Rg. |
---|
509 | @param args: c-parameters |
---|
510 | @return: Rg</p> |
---|
511 | </dd></dl> |
---|
512 | |
---|
513 | <dl class="attribute"> |
---|
514 | <dt id="sans.pr.invertor.Invertor.set_alpha"> |
---|
515 | <tt class="descname">set_alpha</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.set_alpha" title="Permalink to this definition">¶</a></dt> |
---|
516 | <dd><p>Sets the alpha parameter</p> |
---|
517 | </dd></dl> |
---|
518 | |
---|
519 | <dl class="attribute"> |
---|
520 | <dt id="sans.pr.invertor.Invertor.set_dmax"> |
---|
521 | <tt class="descname">set_dmax</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.set_dmax" title="Permalink to this definition">¶</a></dt> |
---|
522 | <dd><p>Sets the maximum distance</p> |
---|
523 | </dd></dl> |
---|
524 | |
---|
525 | <dl class="attribute"> |
---|
526 | <dt id="sans.pr.invertor.Invertor.set_err"> |
---|
527 | <tt class="descname">set_err</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.set_err" title="Permalink to this definition">¶</a></dt> |
---|
528 | <dd><p>Function to set the err data |
---|
529 | Takes an array of doubles as input.</p> |
---|
530 | <blockquote> |
---|
531 | <div>@return: number of entries found</div></blockquote> |
---|
532 | </dd></dl> |
---|
533 | |
---|
534 | <dl class="attribute"> |
---|
535 | <dt id="sans.pr.invertor.Invertor.set_has_bck"> |
---|
536 | <tt class="descname">set_has_bck</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.set_has_bck" title="Permalink to this definition">¶</a></dt> |
---|
537 | <dd><p>Sets background flag</p> |
---|
538 | </dd></dl> |
---|
539 | |
---|
540 | <dl class="attribute"> |
---|
541 | <dt id="sans.pr.invertor.Invertor.set_qmax"> |
---|
542 | <tt class="descname">set_qmax</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.set_qmax" title="Permalink to this definition">¶</a></dt> |
---|
543 | <dd><p>Sets the maximum q</p> |
---|
544 | </dd></dl> |
---|
545 | |
---|
546 | <dl class="attribute"> |
---|
547 | <dt id="sans.pr.invertor.Invertor.set_qmin"> |
---|
548 | <tt class="descname">set_qmin</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.set_qmin" title="Permalink to this definition">¶</a></dt> |
---|
549 | <dd><p>Sets the minimum q</p> |
---|
550 | </dd></dl> |
---|
551 | |
---|
552 | <dl class="attribute"> |
---|
553 | <dt id="sans.pr.invertor.Invertor.set_slit_height"> |
---|
554 | <tt class="descname">set_slit_height</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.set_slit_height" title="Permalink to this definition">¶</a></dt> |
---|
555 | <dd><p>Sets the slit height in units of q [A-1]</p> |
---|
556 | </dd></dl> |
---|
557 | |
---|
558 | <dl class="attribute"> |
---|
559 | <dt id="sans.pr.invertor.Invertor.set_slit_width"> |
---|
560 | <tt class="descname">set_slit_width</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.set_slit_width" title="Permalink to this definition">¶</a></dt> |
---|
561 | <dd><p>Sets the slit width in units of q [A-1]</p> |
---|
562 | </dd></dl> |
---|
563 | |
---|
564 | <dl class="attribute"> |
---|
565 | <dt id="sans.pr.invertor.Invertor.set_x"> |
---|
566 | <tt class="descname">set_x</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.set_x" title="Permalink to this definition">¶</a></dt> |
---|
567 | <dd><p>Function to set the x data |
---|
568 | Takes an array of doubles as input.</p> |
---|
569 | <blockquote> |
---|
570 | <div>@return: number of entries found</div></blockquote> |
---|
571 | </dd></dl> |
---|
572 | |
---|
573 | <dl class="attribute"> |
---|
574 | <dt id="sans.pr.invertor.Invertor.set_y"> |
---|
575 | <tt class="descname">set_y</tt><a class="headerlink" href="#sans.pr.invertor.Invertor.set_y" title="Permalink to this definition">¶</a></dt> |
---|
576 | <dd><p>Function to set the y data |
---|
577 | Takes an array of doubles as input.</p> |
---|
578 | <blockquote> |
---|
579 | <div>@return: number of entries found</div></blockquote> |
---|
580 | </dd></dl> |
---|
581 | |
---|
582 | <dl class="method"> |
---|
583 | <dt id="sans.pr.invertor.Invertor.to_file"> |
---|
584 | <tt class="descname">to_file</tt><big>(</big><em>path</em>, <em>npts=100</em><big>)</big><a class="headerlink" href="#sans.pr.invertor.Invertor.to_file" title="Permalink to this definition">¶</a></dt> |
---|
585 | <dd><p>Save the state to a file that will be readable |
---|
586 | by SliceView.</p> |
---|
587 | <table class="docutils field-list" frame="void" rules="none"> |
---|
588 | <col class="field-name" /> |
---|
589 | <col class="field-body" /> |
---|
590 | <tbody valign="top"> |
---|
591 | <tr class="field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple"> |
---|
592 | <li><strong>path</strong> – path of the file to write</li> |
---|
593 | <li><strong>npts</strong> – number of P(r) points to be written</li> |
---|
594 | </ul> |
---|
595 | </td> |
---|
596 | </tr> |
---|
597 | </tbody> |
---|
598 | </table> |
---|
599 | </dd></dl> |
---|
600 | |
---|
601 | </dd></dl> |
---|
602 | |
---|
603 | <dl class="function"> |
---|
604 | <dt id="sans.pr.invertor.help"> |
---|
605 | <tt class="descclassname">sans.pr.invertor.</tt><tt class="descname">help</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.pr.invertor.help" title="Permalink to this definition">¶</a></dt> |
---|
606 | <dd><p>Provide general online help text |
---|
607 | Future work: extend this function to allow topic selection</p> |
---|
608 | </dd></dl> |
---|
609 | |
---|
610 | </div> |
---|
611 | </div> |
---|
612 | |
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613 | |
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614 | </div> |
---|
615 | </div> |
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616 | </div> |
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617 | <div class="sphinxsidebar"> |
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618 | <div class="sphinxsidebarwrapper"> |
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619 | <h3><a href="../index.html">Table Of Contents</a></h3> |
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620 | <ul> |
---|
621 | <li><a class="reference internal" href="#">invertor</a><ul> |
---|
622 | <li><a class="reference internal" href="#module-sans.pr.invertor"><tt class="docutils literal"><span class="pre">sans.pr.invertor</span></tt></a></li> |
---|
623 | </ul> |
---|
624 | </li> |
---|
625 | </ul> |
---|
626 | |
---|
627 | <h4>Previous topic</h4> |
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628 | <p class="topless"><a href="distance_explorer.html" |
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629 | title="previous chapter">distance_explorer</a></p> |
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630 | <h4>Next topic</h4> |
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631 | <p class="topless"><a href="num_term.html" |
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632 | title="next chapter">num_term</a></p> |
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633 | <h3>This Page</h3> |
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634 | <ul class="this-page-menu"> |
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635 | <li><a href="../_sources/api/invertor.txt" |
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636 | rel="nofollow">Show Source</a></li> |
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637 | </ul> |
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638 | <div id="searchbox" style="display: none"> |
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639 | <h3>Quick search</h3> |
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640 | <form class="search" action="../search.html" method="get"> |
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641 | <input type="text" name="q" size="18" /> |
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642 | <input type="submit" value="Go" /> |
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643 | <input type="hidden" name="check_keywords" value="yes" /> |
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644 | <input type="hidden" name="area" value="default" /> |
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645 | </form> |
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646 | <p class="searchtip" style="font-size: 90%"> |
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647 | Enter search terms or a module, class or function name. |
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648 | </p> |
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649 | </div> |
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650 | <script type="text/javascript">$('#searchbox').show(0);</script> |
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651 | </div> |
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652 | </div> |
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653 | <div class="clearer"></div> |
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654 | </div> |
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655 | <div class="related"> |
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656 | <h3>Navigation</h3> |
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657 | <ul> |
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658 | <li class="right" style="margin-right: 10px"> |
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659 | <a href="../genindex.html" title="General Index" |
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660 | >index</a></li> |
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661 | <li class="right" > |
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662 | <a href="../py-modindex.html" title="Python Module Index" |
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663 | >modules</a> |</li> |
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664 | <li class="right" > |
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665 | <a href="num_term.html" title="num_term" |
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666 | >next</a> |</li> |
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667 | <li class="right" > |
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668 | <a href="distance_explorer.html" title="distance_explorer" |
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669 | >previous</a> |</li> |
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670 | <li><a href="../index.html">pr_inversion v0.1.0 documentation</a> »</li> |
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671 | <li><a href="index.html" >Reference</a> »</li> |
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672 | </ul> |
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673 | </div> |
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674 | <div class="footer"> |
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675 | © Copyright 2010, sans group. |
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