source: sasview/sansinvariant/docs/sphinx/html/api/invariant.html @ c0d873f

ESS_GUIESS_GUI_DocsESS_GUI_batch_fittingESS_GUI_bumps_abstractionESS_GUI_iss1116ESS_GUI_iss879ESS_GUI_iss959ESS_GUI_openclESS_GUI_orderingESS_GUI_sync_sascalccostrafo411magnetic_scattrelease-4.1.1release-4.1.2release-4.2.2release_4.0.1ticket-1009ticket-1094-headlessticket-1242-2d-resolutionticket-1243ticket-1249ticket885unittest-saveload
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58           
59  <div class="section" id="invariant">
60<h1>invariant<a class="headerlink" href="#invariant" title="Permalink to this headline">¶</a></h1>
61<div class="section" id="sans-invariant-invariant">
62<h2><a class="reference internal" href="#module-sans.invariant.invariant" title="sans.invariant.invariant"><tt class="xref py py-mod docutils literal"><span class="pre">sans.invariant.invariant</span></tt></a><a class="headerlink" href="#sans-invariant-invariant" title="Permalink to this headline">¶</a></h2>
63<span class="target" id="module-sans.invariant.invariant"></span><p>This module implements invariant and its related computations.</p>
64<table class="docutils field-list" frame="void" rules="none">
65<col class="field-name" />
66<col class="field-body" />
67<tbody valign="top">
68<tr class="field-odd field"><th class="field-name">author:</th><td class="field-body">Gervaise B. Alina/UTK</td>
69</tr>
70<tr class="field-even field"><th class="field-name">author:</th><td class="field-body">Mathieu Doucet/UTK</td>
71</tr>
72<tr class="field-odd field"><th class="field-name">author:</th><td class="field-body">Jae Cho/UTK</td>
73</tr>
74</tbody>
75</table>
76<dl class="class">
77<dt id="sans.invariant.invariant.Extrapolator">
78<em class="property">class </em><tt class="descclassname">sans.invariant.invariant.</tt><tt class="descname">Extrapolator</tt><a class="headerlink" href="#sans.invariant.invariant.Extrapolator" title="Permalink to this definition">¶</a></dt>
79<dd><p>Extrapolate I(q) distribution using a given model</p>
80<dl class="method">
81<dt id="sans.invariant.invariant.Extrapolator.__init__">
82<tt class="descname">__init__</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Extrapolator.__init__" title="Permalink to this definition">¶</a></dt>
83<dd><p>Determine a and b given a linear equation y = ax + b</p>
84<p>If a model is given, it will be used to linearize the data before
85the extrapolation is performed. If None,
86a simple linear fit will be done.</p>
87<table class="docutils field-list" frame="void" rules="none">
88<col class="field-name" />
89<col class="field-body" />
90<tbody valign="top">
91<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
92<li><strong>data</strong> &#8211; data containing x and y  such as  y = ax + b</li>
93<li><strong>model</strong> &#8211; optional Transform object</li>
94</ul>
95</td>
96</tr>
97</tbody>
98</table>
99</dd></dl>
100
101<dl class="attribute">
102<dt id="sans.invariant.invariant.Extrapolator.__module__">
103<tt class="descname">__module__</tt><em class="property"> = 'sans.invariant.invariant'</em><a class="headerlink" href="#sans.invariant.invariant.Extrapolator.__module__" title="Permalink to this definition">¶</a></dt>
104<dd></dd></dl>
105
106<dl class="method">
107<dt id="sans.invariant.invariant.Extrapolator.fit">
108<tt class="descname">fit</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Extrapolator.fit" title="Permalink to this definition">¶</a></dt>
109<dd><p>Fit data for y = ax + b  return a and b</p>
110<table class="docutils field-list" frame="void" rules="none">
111<col class="field-name" />
112<col class="field-body" />
113<tbody valign="top">
114<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
115<li><strong>power</strong> &#8211; a fixed, otherwise None</li>
116<li><strong>qmin</strong> &#8211; Minimum Q-value</li>
117<li><strong>qmax</strong> &#8211; Maximum Q-value</li>
118</ul>
119</td>
120</tr>
121</tbody>
122</table>
123</dd></dl>
124
125</dd></dl>
126
127<dl class="class">
128<dt id="sans.invariant.invariant.Guinier">
129<em class="property">class </em><tt class="descclassname">sans.invariant.invariant.</tt><tt class="descname">Guinier</tt><a class="headerlink" href="#sans.invariant.invariant.Guinier" title="Permalink to this definition">¶</a></dt>
130<dd><p>Bases: <a class="reference internal" href="#sans.invariant.invariant.Transform" title="sans.invariant.invariant.Transform"><tt class="xref py py-class docutils literal"><span class="pre">sans.invariant.invariant.Transform</span></tt></a></p>
131<p>class of type Transform that performs operations related to guinier
132function</p>
133<dl class="attribute">
134<dt id="sans.invariant.invariant.Guinier.__class__">
135<tt class="descname">__class__</tt><a class="headerlink" href="#sans.invariant.invariant.Guinier.__class__" title="Permalink to this definition">¶</a></dt>
136<dd><p>alias of <tt class="xref py py-class docutils literal"><span class="pre">type</span></tt></p>
137</dd></dl>
138
139<dl class="attribute">
140<dt id="sans.invariant.invariant.Guinier.__delattr__">
141<tt class="descname">__delattr__</tt><a class="headerlink" href="#sans.invariant.invariant.Guinier.__delattr__" title="Permalink to this definition">¶</a></dt>
142<dd><p>x.__delattr__(&#8216;name&#8217;) &lt;==&gt; del x.name</p>
143</dd></dl>
144
145<dl class="attribute">
146<dt id="sans.invariant.invariant.Guinier.__dict__">
147<tt class="descname">__dict__</tt><em class="property"> = &lt;dictproxy object at 0x0202B090&gt;</em><a class="headerlink" href="#sans.invariant.invariant.Guinier.__dict__" title="Permalink to this definition">¶</a></dt>
148<dd></dd></dl>
149
150<dl class="attribute">
151<dt id="sans.invariant.invariant.Guinier.__getattribute__">
152<tt class="descname">__getattribute__</tt><a class="headerlink" href="#sans.invariant.invariant.Guinier.__getattribute__" title="Permalink to this definition">¶</a></dt>
153<dd><p>x.__getattribute__(&#8216;name&#8217;) &lt;==&gt; x.name</p>
154</dd></dl>
155
156<dl class="attribute">
157<dt id="sans.invariant.invariant.Guinier.__hash__">
158<tt class="descname">__hash__</tt><a class="headerlink" href="#sans.invariant.invariant.Guinier.__hash__" title="Permalink to this definition">¶</a></dt>
159<dd><p>x.__hash__() &lt;==&gt; hash(x)</p>
160</dd></dl>
161
162<dl class="method">
163<dt id="sans.invariant.invariant.Guinier.__init__">
164<tt class="descname">__init__</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Guinier.__init__" title="Permalink to this definition">¶</a></dt>
165<dd></dd></dl>
166
167<dl class="attribute">
168<dt id="sans.invariant.invariant.Guinier.__module__">
169<tt class="descname">__module__</tt><em class="property"> = 'sans.invariant.invariant'</em><a class="headerlink" href="#sans.invariant.invariant.Guinier.__module__" title="Permalink to this definition">¶</a></dt>
170<dd></dd></dl>
171
172<dl class="staticmethod">
173<dt id="sans.invariant.invariant.Guinier.__new__">
174<em class="property">static </em><tt class="descname">__new__</tt><big>(</big><em>S</em>, <em>...</em><big>)</big> &rarr; a new object with type S, a subtype of T<a class="headerlink" href="#sans.invariant.invariant.Guinier.__new__" title="Permalink to this definition">¶</a></dt>
175<dd></dd></dl>
176
177<dl class="method">
178<dt id="sans.invariant.invariant.Guinier.__reduce__">
179<tt class="descname">__reduce__</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Guinier.__reduce__" title="Permalink to this definition">¶</a></dt>
180<dd><p>helper for pickle</p>
181</dd></dl>
182
183<dl class="method">
184<dt id="sans.invariant.invariant.Guinier.__reduce_ex__">
185<tt class="descname">__reduce_ex__</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Guinier.__reduce_ex__" title="Permalink to this definition">¶</a></dt>
186<dd><p>helper for pickle</p>
187</dd></dl>
188
189<dl class="attribute">
190<dt id="sans.invariant.invariant.Guinier.__repr__">
191<tt class="descname">__repr__</tt><a class="headerlink" href="#sans.invariant.invariant.Guinier.__repr__" title="Permalink to this definition">¶</a></dt>
192<dd><p>x.__repr__() &lt;==&gt; repr(x)</p>
193</dd></dl>
194
195<dl class="attribute">
196<dt id="sans.invariant.invariant.Guinier.__setattr__">
197<tt class="descname">__setattr__</tt><a class="headerlink" href="#sans.invariant.invariant.Guinier.__setattr__" title="Permalink to this definition">¶</a></dt>
198<dd><p>x.__setattr__(&#8216;name&#8217;, value) &lt;==&gt; x.name = value</p>
199</dd></dl>
200
201<dl class="attribute">
202<dt id="sans.invariant.invariant.Guinier.__str__">
203<tt class="descname">__str__</tt><a class="headerlink" href="#sans.invariant.invariant.Guinier.__str__" title="Permalink to this definition">¶</a></dt>
204<dd><p>x.__str__() &lt;==&gt; str(x)</p>
205</dd></dl>
206
207<dl class="attribute">
208<dt id="sans.invariant.invariant.Guinier.__weakref__">
209<tt class="descname">__weakref__</tt><a class="headerlink" href="#sans.invariant.invariant.Guinier.__weakref__" title="Permalink to this definition">¶</a></dt>
210<dd><p>list of weak references to the object (if defined)</p>
211</dd></dl>
212
213<dl class="method">
214<dt id="sans.invariant.invariant.Guinier._guinier">
215<tt class="descname">_guinier</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Guinier._guinier" title="Permalink to this definition">¶</a></dt>
216<dd><p>Retrive the guinier function after apply an inverse guinier function
217to x
218Compute a F(x) = scale* e-((radius*x)**2/3).</p>
219<table class="docutils field-list" frame="void" rules="none">
220<col class="field-name" />
221<col class="field-body" />
222<tbody valign="top">
223<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
224<li><strong>x</strong> &#8211; a vector of q values</li>
225<li><strong>scale</strong> &#8211; the scale value</li>
226<li><strong>radius</strong> &#8211; the guinier radius value</li>
227</ul>
228</td>
229</tr>
230<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">F(x)</p>
231</td>
232</tr>
233</tbody>
234</table>
235</dd></dl>
236
237<dl class="method">
238<dt id="sans.invariant.invariant.Guinier.evaluate_model">
239<tt class="descname">evaluate_model</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Guinier.evaluate_model" title="Permalink to this definition">¶</a></dt>
240<dd><p>return F(x)= scale* e-((radius*x)**2/3)</p>
241</dd></dl>
242
243<dl class="method">
244<dt id="sans.invariant.invariant.Guinier.evaluate_model_errors">
245<tt class="descname">evaluate_model_errors</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Guinier.evaluate_model_errors" title="Permalink to this definition">¶</a></dt>
246<dd><p>Returns the error on I(q) for the given array of q-values</p>
247<table class="docutils field-list" frame="void" rules="none">
248<col class="field-name" />
249<col class="field-body" />
250<tbody valign="top">
251<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>x</strong> &#8211; array of q-values</td>
252</tr>
253</tbody>
254</table>
255</dd></dl>
256
257<dl class="method">
258<dt id="sans.invariant.invariant.Guinier.extract_model_parameters">
259<tt class="descname">extract_model_parameters</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Guinier.extract_model_parameters" title="Permalink to this definition">¶</a></dt>
260<dd><p>assign new value to the scale and the radius</p>
261</dd></dl>
262
263<dl class="method">
264<dt id="sans.invariant.invariant.Guinier.get_allowed_bins">
265<tt class="descname">get_allowed_bins</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Guinier.get_allowed_bins" title="Permalink to this definition">¶</a></dt>
266<dd><p>Goes through the data points and returns a list of boolean values
267to indicate whether each points is allowed by the model or not.</p>
268<table class="docutils field-list" frame="void" rules="none">
269<col class="field-name" />
270<col class="field-body" />
271<tbody valign="top">
272<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>data</strong> &#8211; Data1D object</td>
273</tr>
274</tbody>
275</table>
276</dd></dl>
277
278<dl class="method">
279<dt id="sans.invariant.invariant.Guinier.linearize_data">
280<tt class="descname">linearize_data</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Guinier.linearize_data" title="Permalink to this definition">¶</a></dt>
281<dd><p>Linearize data so that a linear fit can be performed.
282Filter out the data that can&#8217;t be transformed.</p>
283<table class="docutils field-list" frame="void" rules="none">
284<col class="field-name" />
285<col class="field-body" />
286<tbody valign="top">
287<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>data</strong> &#8211; LoadData1D instance</td>
288</tr>
289</tbody>
290</table>
291</dd></dl>
292
293<dl class="method">
294<dt id="sans.invariant.invariant.Guinier.linearize_q_value">
295<tt class="descname">linearize_q_value</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Guinier.linearize_q_value" title="Permalink to this definition">¶</a></dt>
296<dd><p>Transform the input q-value for linearization</p>
297<table class="docutils field-list" frame="void" rules="none">
298<col class="field-name" />
299<col class="field-body" />
300<tbody valign="top">
301<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>value</strong> &#8211; q-value</td>
302</tr>
303<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">q*q</td>
304</tr>
305</tbody>
306</table>
307</dd></dl>
308
309</dd></dl>
310
311<dl class="class">
312<dt id="sans.invariant.invariant.InvariantCalculator">
313<em class="property">class </em><tt class="descclassname">sans.invariant.invariant.</tt><tt class="descname">InvariantCalculator</tt><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator" title="Permalink to this definition">¶</a></dt>
314<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">object</span></tt></p>
315<p>Compute invariant if data is given.
316Can provide volume fraction and surface area if the user provides
317Porod constant  and contrast values.</p>
318<table class="docutils field-list" frame="void" rules="none">
319<col class="field-name" />
320<col class="field-body" />
321<tbody valign="top">
322<tr class="field-odd field"><th class="field-name">Precondition :</th><td class="field-body">the user must send a data of type DataLoader.Data1D
323the user provide background and scale values.</td>
324</tr>
325<tr class="field-even field"><th class="field-name">Note :</th><td class="field-body">Some computations depends on each others.</td>
326</tr>
327</tbody>
328</table>
329<dl class="attribute">
330<dt id="sans.invariant.invariant.InvariantCalculator.__class__">
331<tt class="descname">__class__</tt><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.__class__" title="Permalink to this definition">¶</a></dt>
332<dd><p>alias of <tt class="xref py py-class docutils literal"><span class="pre">type</span></tt></p>
333</dd></dl>
334
335<dl class="attribute">
336<dt id="sans.invariant.invariant.InvariantCalculator.__delattr__">
337<tt class="descname">__delattr__</tt><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.__delattr__" title="Permalink to this definition">¶</a></dt>
338<dd><p>x.__delattr__(&#8216;name&#8217;) &lt;==&gt; del x.name</p>
339</dd></dl>
340
341<dl class="attribute">
342<dt id="sans.invariant.invariant.InvariantCalculator.__dict__">
343<tt class="descname">__dict__</tt><em class="property"> = &lt;dictproxy object at 0x0202B2F0&gt;</em><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.__dict__" title="Permalink to this definition">¶</a></dt>
344<dd></dd></dl>
345
346<dl class="attribute">
347<dt id="sans.invariant.invariant.InvariantCalculator.__getattribute__">
348<tt class="descname">__getattribute__</tt><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.__getattribute__" title="Permalink to this definition">¶</a></dt>
349<dd><p>x.__getattribute__(&#8216;name&#8217;) &lt;==&gt; x.name</p>
350</dd></dl>
351
352<dl class="attribute">
353<dt id="sans.invariant.invariant.InvariantCalculator.__hash__">
354<tt class="descname">__hash__</tt><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.__hash__" title="Permalink to this definition">¶</a></dt>
355<dd><p>x.__hash__() &lt;==&gt; hash(x)</p>
356</dd></dl>
357
358<dl class="method">
359<dt id="sans.invariant.invariant.InvariantCalculator.__init__">
360<tt class="descname">__init__</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.__init__" title="Permalink to this definition">¶</a></dt>
361<dd><p>Initialize variables.</p>
362<table class="docutils field-list" frame="void" rules="none">
363<col class="field-name" />
364<col class="field-body" />
365<tbody valign="top">
366<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
367<li><strong>data</strong> &#8211; data must be of type DataLoader.Data1D</li>
368<li><strong>background</strong> &#8211; Background value. The data will be corrected
369before processing</li>
370<li><strong>scale</strong> &#8211; Scaling factor for I(q). The data will be corrected
371before processing</li>
372</ul>
373</td>
374</tr>
375</tbody>
376</table>
377</dd></dl>
378
379<dl class="attribute">
380<dt id="sans.invariant.invariant.InvariantCalculator.__module__">
381<tt class="descname">__module__</tt><em class="property"> = 'sans.invariant.invariant'</em><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.__module__" title="Permalink to this definition">¶</a></dt>
382<dd></dd></dl>
383
384<dl class="staticmethod">
385<dt id="sans.invariant.invariant.InvariantCalculator.__new__">
386<em class="property">static </em><tt class="descname">__new__</tt><big>(</big><em>S</em>, <em>...</em><big>)</big> &rarr; a new object with type S, a subtype of T<a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.__new__" title="Permalink to this definition">¶</a></dt>
387<dd></dd></dl>
388
389<dl class="method">
390<dt id="sans.invariant.invariant.InvariantCalculator.__reduce__">
391<tt class="descname">__reduce__</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.__reduce__" title="Permalink to this definition">¶</a></dt>
392<dd><p>helper for pickle</p>
393</dd></dl>
394
395<dl class="method">
396<dt id="sans.invariant.invariant.InvariantCalculator.__reduce_ex__">
397<tt class="descname">__reduce_ex__</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.__reduce_ex__" title="Permalink to this definition">¶</a></dt>
398<dd><p>helper for pickle</p>
399</dd></dl>
400
401<dl class="attribute">
402<dt id="sans.invariant.invariant.InvariantCalculator.__repr__">
403<tt class="descname">__repr__</tt><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.__repr__" title="Permalink to this definition">¶</a></dt>
404<dd><p>x.__repr__() &lt;==&gt; repr(x)</p>
405</dd></dl>
406
407<dl class="attribute">
408<dt id="sans.invariant.invariant.InvariantCalculator.__setattr__">
409<tt class="descname">__setattr__</tt><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.__setattr__" title="Permalink to this definition">¶</a></dt>
410<dd><p>x.__setattr__(&#8216;name&#8217;, value) &lt;==&gt; x.name = value</p>
411</dd></dl>
412
413<dl class="attribute">
414<dt id="sans.invariant.invariant.InvariantCalculator.__str__">
415<tt class="descname">__str__</tt><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.__str__" title="Permalink to this definition">¶</a></dt>
416<dd><p>x.__str__() &lt;==&gt; str(x)</p>
417</dd></dl>
418
419<dl class="attribute">
420<dt id="sans.invariant.invariant.InvariantCalculator.__weakref__">
421<tt class="descname">__weakref__</tt><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.__weakref__" title="Permalink to this definition">¶</a></dt>
422<dd><p>list of weak references to the object (if defined)</p>
423</dd></dl>
424
425<dl class="method">
426<dt id="sans.invariant.invariant.InvariantCalculator._fit">
427<tt class="descname">_fit</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator._fit" title="Permalink to this definition">¶</a></dt>
428<dd><p>fit data with function using
429data = self._get_data()
430fx = Functor(data , function)
431y = data.y
432slope, constant = linalg.lstsq(y,fx)</p>
433<table class="docutils field-list" frame="void" rules="none">
434<col class="field-name" />
435<col class="field-body" />
436<tbody valign="top">
437<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
438<li><strong>qmin</strong> &#8211; data first q value to consider during the fit</li>
439<li><strong>qmax</strong> &#8211; data last q value to consider during the fit</li>
440</ul>
441</td>
442</tr>
443</tbody>
444</table>
445<p>:param power : power value to consider for power-law
446:param function: the function to use during the fit</p>
447<table class="docutils field-list" frame="void" rules="none">
448<col class="field-name" />
449<col class="field-body" />
450<tbody valign="top">
451<tr class="field-odd field"><th class="field-name">Return a:</th><td class="field-body">the scale of the function</td>
452</tr>
453<tr class="field-even field"><th class="field-name">Return b:</th><td class="field-body">the other parameter of the function for guinier will be radius
454for power_law will be the power value</td>
455</tr>
456</tbody>
457</table>
458</dd></dl>
459
460<dl class="method">
461<dt id="sans.invariant.invariant.InvariantCalculator._get_data">
462<tt class="descname">_get_data</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator._get_data" title="Permalink to this definition">¶</a></dt>
463<dd><table class="docutils field-list" frame="void" rules="none">
464<col class="field-name" />
465<col class="field-body" />
466<tbody valign="top">
467<tr class="field-odd field"><th class="field-name">Note :</th><td class="field-body">this function must be call before computing any type
468of invariant</td>
469</tr>
470<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">new data = self._scale <a href="#id1"><span class="problematic" id="id2">*</span></a>data - self._background</td>
471</tr>
472</tbody>
473</table>
474</dd></dl>
475
476<dl class="method">
477<dt id="sans.invariant.invariant.InvariantCalculator._get_extrapolated_data">
478<tt class="descname">_get_extrapolated_data</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator._get_extrapolated_data" title="Permalink to this definition">¶</a></dt>
479<dd><table class="docutils field-list" frame="void" rules="none">
480<col class="field-name" />
481<col class="field-body" />
482<tbody valign="top">
483<tr class="field-odd field"><th class="field-name">Returns:</th><td class="field-body">extrapolate data create from data</td>
484</tr>
485</tbody>
486</table>
487</dd></dl>
488
489<dl class="method">
490<dt id="sans.invariant.invariant.InvariantCalculator._get_qstar">
491<tt class="descname">_get_qstar</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator._get_qstar" title="Permalink to this definition">¶</a></dt>
492<dd><p>Compute invariant for pinhole data.
493This invariant is given by:</p>
494<div class="highlight-python"><pre>q_star = x0**2 *y0 *dx0 +x1**2 *y1 *dx1
495            + ..+ xn**2 *yn *dxn    for non smeared data
496           
497q_star = dxl0 *x0 *y0 *dx0 +dxl1 *x1 *y1 *dx1
498            + ..+ dlxn *xn *yn *dxn    for smeared data
499           
500where n &gt;= len(data.x)-1
501dxl = slit height dQl
502dxi = 1/2*(xi+1 - xi) + (xi - xi-1)
503dx0 = (x1 - x0)/2
504dxn = (xn - xn-1)/2</pre>
505</div>
506<table class="docutils field-list" frame="void" rules="none">
507<col class="field-name" />
508<col class="field-body" />
509<tbody valign="top">
510<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>data</strong> &#8211; the data to use to compute invariant.</td>
511</tr>
512<tr class="field-even field"><th class="field-name">Return q_star:</th><td class="field-body">invariant value for pinhole data. q_star &gt; 0</td>
513</tr>
514</tbody>
515</table>
516</dd></dl>
517
518<dl class="method">
519<dt id="sans.invariant.invariant.InvariantCalculator._get_qstar_uncertainty">
520<tt class="descname">_get_qstar_uncertainty</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator._get_qstar_uncertainty" title="Permalink to this definition">¶</a></dt>
521<dd><p>Compute invariant uncertainty with with pinhole data.
522This uncertainty is given as follow:</p>
523<div class="highlight-python"><pre>dq_star = math.sqrt[(x0**2*(dy0)*dx0)**2 +
524     (x1**2 *(dy1)*dx1)**2 + ..+ (xn**2 *(dyn)*dxn)**2 ]</pre>
525</div>
526<p>where n &gt;= len(data.x)-1
527dxi = 1/2*(xi+1 - xi) + (xi - xi-1)
528dx0 = (x1 - x0)/2
529dxn = (xn - xn-1)/2
530dyn: error on dy</p>
531<table class="docutils field-list" frame="void" rules="none">
532<col class="field-name" />
533<col class="field-body" />
534<tbody valign="top">
535<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>data</strong> &#8211; </td>
536</tr>
537<tr class="field-even field"><th class="field-name">Note :</th><td class="field-body">if data doesn&#8217;t contain dy assume dy= math.sqrt(data.y)</td>
538</tr>
539</tbody>
540</table>
541</dd></dl>
542
543<dl class="method">
544<dt id="sans.invariant.invariant.InvariantCalculator.get_data">
545<tt class="descname">get_data</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.get_data" title="Permalink to this definition">¶</a></dt>
546<dd><table class="docutils field-list" frame="void" rules="none">
547<col class="field-name" />
548<col class="field-body" />
549<tbody valign="top">
550<tr class="field-odd field"><th class="field-name">Returns:</th><td class="field-body">self._data</td>
551</tr>
552</tbody>
553</table>
554</dd></dl>
555
556<dl class="method">
557<dt id="sans.invariant.invariant.InvariantCalculator.get_extra_data_high">
558<tt class="descname">get_extra_data_high</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.get_extra_data_high" title="Permalink to this definition">¶</a></dt>
559<dd><p>Returns the extrapolated data used for the high-Q invariant calculation.
560By default, the distribution will cover the data points used for the
561extrapolation. The number of overlap points is a parameter (npts_in).
562By default, the maximum q-value of the distribution will be Q_MAXIMUM,
563the maximum q-value used when extrapolating for the purpose of the
564invariant calculation.</p>
565<table class="docutils field-list" frame="void" rules="none">
566<col class="field-name" />
567<col class="field-body" />
568<tbody valign="top">
569<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
570<li><strong>npts_in</strong> &#8211; number of data points for which the
571extrapolated data overlap</li>
572<li><strong>q_end</strong> &#8211; is the maximum value to uses for extrapolated data</li>
573<li><strong>npts</strong> &#8211; the number of points in the extrapolated distribution</li>
574</ul>
575</td>
576</tr>
577</tbody>
578</table>
579</dd></dl>
580
581<dl class="method">
582<dt id="sans.invariant.invariant.InvariantCalculator.get_extra_data_low">
583<tt class="descname">get_extra_data_low</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.get_extra_data_low" title="Permalink to this definition">¶</a></dt>
584<dd><p>Returns the extrapolated data used for the loew-Q invariant calculation.
585By default, the distribution will cover the data points used for the
586extrapolation. The number of overlap points is a parameter (npts_in).
587By default, the maximum q-value of the distribution will be 
588the minimum q-value used when extrapolating for the purpose of the
589invariant calculation.</p>
590<table class="docutils field-list" frame="void" rules="none">
591<col class="field-name" />
592<col class="field-body" />
593<tbody valign="top">
594<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
595<li><strong>npts_in</strong> &#8211; number of data points for which
596the extrapolated data overlap</li>
597<li><strong>q_start</strong> &#8211; is the minimum value to uses for extrapolated data</li>
598<li><strong>npts</strong> &#8211; the number of points in the extrapolated distribution</li>
599</ul>
600</td>
601</tr>
602</tbody>
603</table>
604</dd></dl>
605
606<dl class="method">
607<dt id="sans.invariant.invariant.InvariantCalculator.get_extrapolation_power">
608<tt class="descname">get_extrapolation_power</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.get_extrapolation_power" title="Permalink to this definition">¶</a></dt>
609<dd><table class="docutils field-list" frame="void" rules="none">
610<col class="field-name" />
611<col class="field-body" />
612<tbody valign="top">
613<tr class="field-odd field"><th class="field-name">Returns:</th><td class="field-body">the fitted power for power law function for a given</td>
614</tr>
615</tbody>
616</table>
617<p>extrapolation range</p>
618</dd></dl>
619
620<dl class="method">
621<dt id="sans.invariant.invariant.InvariantCalculator.get_qstar">
622<tt class="descname">get_qstar</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.get_qstar" title="Permalink to this definition">¶</a></dt>
623<dd><p>Compute the invariant of the local copy of data.</p>
624<table class="docutils field-list" frame="void" rules="none">
625<col class="field-name" />
626<col class="field-body" />
627<tbody valign="top">
628<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>extrapolation</strong> &#8211; string to apply optional extrapolation</td>
629</tr>
630<tr class="field-even field"><th class="field-name">Return q_star:</th><td class="field-body">invariant of the data within data&#8217;s q range</td>
631</tr>
632<tr class="field-odd field"><th class="field-name">Warning :</th><td class="field-body">When using setting data to Data1D ,
633the user is responsible of
634checking that the scale and the background are
635properly apply to the data</td>
636</tr>
637</tbody>
638</table>
639</dd></dl>
640
641<dl class="method">
642<dt id="sans.invariant.invariant.InvariantCalculator.get_qstar_high">
643<tt class="descname">get_qstar_high</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.get_qstar_high" title="Permalink to this definition">¶</a></dt>
644<dd><p>Compute the invariant for extrapolated data at high q range.</p>
645<dl class="docutils">
646<dt>Implementation:</dt>
647<dd>data = self._get_extra_data_high()
648return self._get_qstar()</dd>
649</dl>
650<table class="docutils field-list" frame="void" rules="none">
651<col class="field-name" />
652<col class="field-body" />
653<tbody valign="top">
654<tr class="field-odd field"><th class="field-name">Return q_star:</th><td class="field-body">the invariant for data extrapolated at high q.</td>
655</tr>
656</tbody>
657</table>
658</dd></dl>
659
660<dl class="method">
661<dt id="sans.invariant.invariant.InvariantCalculator.get_qstar_low">
662<tt class="descname">get_qstar_low</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.get_qstar_low" title="Permalink to this definition">¶</a></dt>
663<dd><p>Compute the invariant for extrapolated data at low q range.</p>
664<dl class="docutils">
665<dt>Implementation:</dt>
666<dd>data = self._get_extra_data_low()
667return self._get_qstar()</dd>
668</dl>
669<table class="docutils field-list" frame="void" rules="none">
670<col class="field-name" />
671<col class="field-body" />
672<tbody valign="top">
673<tr class="field-odd field"><th class="field-name">Return q_star:</th><td class="field-body">the invariant for data extrapolated at low q.</td>
674</tr>
675</tbody>
676</table>
677</dd></dl>
678
679<dl class="method">
680<dt id="sans.invariant.invariant.InvariantCalculator.get_qstar_with_error">
681<tt class="descname">get_qstar_with_error</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.get_qstar_with_error" title="Permalink to this definition">¶</a></dt>
682<dd><p>Compute the invariant uncertainty.
683This uncertainty computation depends on whether or not the data is
684smeared.</p>
685<table class="docutils field-list" frame="void" rules="none">
686<col class="field-name" />
687<col class="field-body" />
688<tbody valign="top">
689<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>extrapolation</strong> &#8211; string to apply optional extrapolation</td>
690</tr>
691<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">invariant, the invariant uncertainty</td>
692</tr>
693</tbody>
694</table>
695</dd></dl>
696
697<dl class="method">
698<dt id="sans.invariant.invariant.InvariantCalculator.get_surface">
699<tt class="descname">get_surface</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.get_surface" title="Permalink to this definition">¶</a></dt>
700<dd><p>Compute the specific surface from the data.</p>
701<p>Implementation:</p>
702<div class="highlight-python"><pre>V =  self.get_volume_fraction(contrast, extrapolation)
703
704Compute the surface given by:
705  surface = (2*pi *V(1- V)*porod_const)/ q_star</pre>
706</div>
707<table class="docutils field-list" frame="void" rules="none">
708<col class="field-name" />
709<col class="field-body" />
710<tbody valign="top">
711<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
712<li><strong>contrast</strong> &#8211; contrast value to compute the volume</li>
713<li><strong>porod_const</strong> &#8211; Porod constant to compute the surface</li>
714<li><strong>extrapolation</strong> &#8211; string to apply optional extrapolation</li>
715</ul>
716</td>
717</tr>
718<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">specific surface</p>
719</td>
720</tr>
721</tbody>
722</table>
723</dd></dl>
724
725<dl class="method">
726<dt id="sans.invariant.invariant.InvariantCalculator.get_surface_with_error">
727<tt class="descname">get_surface_with_error</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.get_surface_with_error" title="Permalink to this definition">¶</a></dt>
728<dd><p>Compute uncertainty of the surface value as well as the surface value.
729The uncertainty is given as follow:</p>
730<div class="highlight-python"><pre>dS = porod_const *2*pi[( dV -2*V*dV)/q_star
731     + dq_star(v-v**2)
732     
733q_star: the invariant value
734dq_star: the invariant uncertainty
735V: the volume fraction value
736dV: the volume uncertainty</pre>
737</div>
738<table class="docutils field-list" frame="void" rules="none">
739<col class="field-name" />
740<col class="field-body" />
741<tbody valign="top">
742<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
743<li><strong>contrast</strong> &#8211; contrast value</li>
744<li><strong>porod_const</strong> &#8211; porod constant value</li>
745<li><strong>extrapolation</strong> &#8211; string to apply optional extrapolation</li>
746</ul>
747</td>
748</tr>
749<tr class="field-even field"><th class="field-name">Return S, dS:</th><td class="field-body"><p class="first last">the surface, with its uncertainty</p>
750</td>
751</tr>
752</tbody>
753</table>
754</dd></dl>
755
756<dl class="method">
757<dt id="sans.invariant.invariant.InvariantCalculator.get_volume_fraction">
758<tt class="descname">get_volume_fraction</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.get_volume_fraction" title="Permalink to this definition">¶</a></dt>
759<dd><p>Compute volume fraction is deduced as follow:</p>
760<div class="highlight-python"><pre>q_star = 2*(pi*contrast)**2* volume( 1- volume)
761for k = 10^(-8)*q_star/(2*(pi*|contrast|)**2)
762we get 2 values of volume:
763     with   1 - 4 * k &gt;= 0
764     volume1 = (1- sqrt(1- 4*k))/2
765     volume2 = (1+ sqrt(1- 4*k))/2
766
767q_star: the invariant value included extrapolation is applied
768             unit  1/A^(3)*1/cm
769        q_star = self.get_qstar()
770       
771the result returned will be 0 &lt;= volume &lt;= 1</pre>
772</div>
773<table class="docutils field-list" frame="void" rules="none">
774<col class="field-name" />
775<col class="field-body" />
776<tbody valign="top">
777<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
778<li><strong>contrast</strong> &#8211; contrast value provides by the user of type float.
779contrast unit is 1/A^(2)= 10^(16)cm^(2)</li>
780<li><strong>extrapolation</strong> &#8211; string to apply optional extrapolation</li>
781</ul>
782</td>
783</tr>
784<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first">volume fraction</p>
785</td>
786</tr>
787<tr class="field-odd field"><th class="field-name">Note :</th><td class="field-body"><p class="first last">volume fraction must have no unit</p>
788</td>
789</tr>
790</tbody>
791</table>
792</dd></dl>
793
794<dl class="method">
795<dt id="sans.invariant.invariant.InvariantCalculator.get_volume_fraction_with_error">
796<tt class="descname">get_volume_fraction_with_error</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.get_volume_fraction_with_error" title="Permalink to this definition">¶</a></dt>
797<dd><p>Compute uncertainty on volume value as well as the volume fraction
798This uncertainty is given by the following equation:</p>
799<div class="highlight-python"><pre>dV = 0.5 * (4*k* dq_star) /(2* math.sqrt(1-k* q_star))
800                     
801for k = 10^(-8)*q_star/(2*(pi*|contrast|)**2)
802
803q_star: the invariant value including extrapolated value if existing
804dq_star: the invariant uncertainty
805dV: the volume uncertainty</pre>
806</div>
807<p>The uncertainty will be set to -1 if it can&#8217;t be computed.</p>
808<table class="docutils field-list" frame="void" rules="none">
809<col class="field-name" />
810<col class="field-body" />
811<tbody valign="top">
812<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first simple">
813<li><strong>contrast</strong> &#8211; contrast value</li>
814<li><strong>extrapolation</strong> &#8211; string to apply optional extrapolation</li>
815</ul>
816</td>
817</tr>
818<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body"><p class="first last">V, dV = volume fraction, error on volume fraction</p>
819</td>
820</tr>
821</tbody>
822</table>
823</dd></dl>
824
825<dl class="method">
826<dt id="sans.invariant.invariant.InvariantCalculator.set_extrapolation">
827<tt class="descname">set_extrapolation</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.InvariantCalculator.set_extrapolation" title="Permalink to this definition">¶</a></dt>
828<dd><p>Set the extrapolation parameters for the high or low Q-range.
829Note that this does not turn extrapolation on or off.</p>
830<table class="docutils field-list" frame="void" rules="none">
831<col class="field-name" />
832<col class="field-body" />
833<tbody valign="top">
834<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><ul class="first last simple">
835<li><strong>range</strong> &#8211; a keyword set the type of extrapolation . type string</li>
836<li><strong>npts</strong> &#8211; the numbers of q points of data to consider
837for extrapolation</li>
838<li><strong>function</strong> &#8211; a keyword to select the function to use
839for extrapolation.
840of type string.</li>
841<li><strong>power</strong> &#8211; an power to apply power_low function</li>
842</ul>
843</td>
844</tr>
845</tbody>
846</table>
847</dd></dl>
848
849</dd></dl>
850
851<dl class="class">
852<dt id="sans.invariant.invariant.PowerLaw">
853<em class="property">class </em><tt class="descclassname">sans.invariant.invariant.</tt><tt class="descname">PowerLaw</tt><a class="headerlink" href="#sans.invariant.invariant.PowerLaw" title="Permalink to this definition">¶</a></dt>
854<dd><p>Bases: <a class="reference internal" href="#sans.invariant.invariant.Transform" title="sans.invariant.invariant.Transform"><tt class="xref py py-class docutils literal"><span class="pre">sans.invariant.invariant.Transform</span></tt></a></p>
855<p>class of type transform that perform operation related to power_law
856function</p>
857<dl class="attribute">
858<dt id="sans.invariant.invariant.PowerLaw.__class__">
859<tt class="descname">__class__</tt><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.__class__" title="Permalink to this definition">¶</a></dt>
860<dd><p>alias of <tt class="xref py py-class docutils literal"><span class="pre">type</span></tt></p>
861</dd></dl>
862
863<dl class="attribute">
864<dt id="sans.invariant.invariant.PowerLaw.__delattr__">
865<tt class="descname">__delattr__</tt><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.__delattr__" title="Permalink to this definition">¶</a></dt>
866<dd><p>x.__delattr__(&#8216;name&#8217;) &lt;==&gt; del x.name</p>
867</dd></dl>
868
869<dl class="attribute">
870<dt id="sans.invariant.invariant.PowerLaw.__dict__">
871<tt class="descname">__dict__</tt><em class="property"> = &lt;dictproxy object at 0x01FC3EF0&gt;</em><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.__dict__" title="Permalink to this definition">¶</a></dt>
872<dd></dd></dl>
873
874<dl class="attribute">
875<dt id="sans.invariant.invariant.PowerLaw.__getattribute__">
876<tt class="descname">__getattribute__</tt><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.__getattribute__" title="Permalink to this definition">¶</a></dt>
877<dd><p>x.__getattribute__(&#8216;name&#8217;) &lt;==&gt; x.name</p>
878</dd></dl>
879
880<dl class="attribute">
881<dt id="sans.invariant.invariant.PowerLaw.__hash__">
882<tt class="descname">__hash__</tt><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.__hash__" title="Permalink to this definition">¶</a></dt>
883<dd><p>x.__hash__() &lt;==&gt; hash(x)</p>
884</dd></dl>
885
886<dl class="method">
887<dt id="sans.invariant.invariant.PowerLaw.__init__">
888<tt class="descname">__init__</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.__init__" title="Permalink to this definition">¶</a></dt>
889<dd></dd></dl>
890
891<dl class="attribute">
892<dt id="sans.invariant.invariant.PowerLaw.__module__">
893<tt class="descname">__module__</tt><em class="property"> = 'sans.invariant.invariant'</em><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.__module__" title="Permalink to this definition">¶</a></dt>
894<dd></dd></dl>
895
896<dl class="staticmethod">
897<dt id="sans.invariant.invariant.PowerLaw.__new__">
898<em class="property">static </em><tt class="descname">__new__</tt><big>(</big><em>S</em>, <em>...</em><big>)</big> &rarr; a new object with type S, a subtype of T<a class="headerlink" href="#sans.invariant.invariant.PowerLaw.__new__" title="Permalink to this definition">¶</a></dt>
899<dd></dd></dl>
900
901<dl class="method">
902<dt id="sans.invariant.invariant.PowerLaw.__reduce__">
903<tt class="descname">__reduce__</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.__reduce__" title="Permalink to this definition">¶</a></dt>
904<dd><p>helper for pickle</p>
905</dd></dl>
906
907<dl class="method">
908<dt id="sans.invariant.invariant.PowerLaw.__reduce_ex__">
909<tt class="descname">__reduce_ex__</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.__reduce_ex__" title="Permalink to this definition">¶</a></dt>
910<dd><p>helper for pickle</p>
911</dd></dl>
912
913<dl class="attribute">
914<dt id="sans.invariant.invariant.PowerLaw.__repr__">
915<tt class="descname">__repr__</tt><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.__repr__" title="Permalink to this definition">¶</a></dt>
916<dd><p>x.__repr__() &lt;==&gt; repr(x)</p>
917</dd></dl>
918
919<dl class="attribute">
920<dt id="sans.invariant.invariant.PowerLaw.__setattr__">
921<tt class="descname">__setattr__</tt><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.__setattr__" title="Permalink to this definition">¶</a></dt>
922<dd><p>x.__setattr__(&#8216;name&#8217;, value) &lt;==&gt; x.name = value</p>
923</dd></dl>
924
925<dl class="attribute">
926<dt id="sans.invariant.invariant.PowerLaw.__str__">
927<tt class="descname">__str__</tt><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.__str__" title="Permalink to this definition">¶</a></dt>
928<dd><p>x.__str__() &lt;==&gt; str(x)</p>
929</dd></dl>
930
931<dl class="attribute">
932<dt id="sans.invariant.invariant.PowerLaw.__weakref__">
933<tt class="descname">__weakref__</tt><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.__weakref__" title="Permalink to this definition">¶</a></dt>
934<dd><p>list of weak references to the object (if defined)</p>
935</dd></dl>
936
937<dl class="method">
938<dt id="sans.invariant.invariant.PowerLaw._power_law">
939<tt class="descname">_power_law</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.PowerLaw._power_law" title="Permalink to this definition">¶</a></dt>
940<dd><dl class="docutils">
941<dt>F(x) = scale* (x)^(-power)</dt>
942<dd>when power= 4. the model is porod
943else power_law</dd>
944<dt>The model has three parameters: ::</dt>
945<dd><ol class="first last arabic simple">
946<li>x: a vector of q values</li>
947<li>power: power of the function</li>
948<li>scale : scale factor value</li>
949</ol>
950</dd>
951</dl>
952<table class="docutils field-list" frame="void" rules="none">
953<col class="field-name" />
954<col class="field-body" />
955<tbody valign="top">
956<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>x</strong> &#8211; array</td>
957</tr>
958<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">F(x)</td>
959</tr>
960</tbody>
961</table>
962</dd></dl>
963
964<dl class="method">
965<dt id="sans.invariant.invariant.PowerLaw.evaluate_model">
966<tt class="descname">evaluate_model</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.evaluate_model" title="Permalink to this definition">¶</a></dt>
967<dd><p>given a scale and a radius transform x, y using a power_law
968function</p>
969</dd></dl>
970
971<dl class="method">
972<dt id="sans.invariant.invariant.PowerLaw.evaluate_model_errors">
973<tt class="descname">evaluate_model_errors</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.evaluate_model_errors" title="Permalink to this definition">¶</a></dt>
974<dd><p>Returns the error on I(q) for the given array of q-values
975:param x: array of q-values</p>
976</dd></dl>
977
978<dl class="method">
979<dt id="sans.invariant.invariant.PowerLaw.extract_model_parameters">
980<tt class="descname">extract_model_parameters</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.extract_model_parameters" title="Permalink to this definition">¶</a></dt>
981<dd><p>Assign new value to the scale and the power</p>
982</dd></dl>
983
984<dl class="method">
985<dt id="sans.invariant.invariant.PowerLaw.get_allowed_bins">
986<tt class="descname">get_allowed_bins</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.get_allowed_bins" title="Permalink to this definition">¶</a></dt>
987<dd><p>Goes through the data points and returns a list of boolean values
988to indicate whether each points is allowed by the model or not.</p>
989<table class="docutils field-list" frame="void" rules="none">
990<col class="field-name" />
991<col class="field-body" />
992<tbody valign="top">
993<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>data</strong> &#8211; Data1D object</td>
994</tr>
995</tbody>
996</table>
997</dd></dl>
998
999<dl class="method">
1000<dt id="sans.invariant.invariant.PowerLaw.linearize_data">
1001<tt class="descname">linearize_data</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.linearize_data" title="Permalink to this definition">¶</a></dt>
1002<dd><p>Linearize data so that a linear fit can be performed.
1003Filter out the data that can&#8217;t be transformed.</p>
1004<table class="docutils field-list" frame="void" rules="none">
1005<col class="field-name" />
1006<col class="field-body" />
1007<tbody valign="top">
1008<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>data</strong> &#8211; LoadData1D instance</td>
1009</tr>
1010</tbody>
1011</table>
1012</dd></dl>
1013
1014<dl class="method">
1015<dt id="sans.invariant.invariant.PowerLaw.linearize_q_value">
1016<tt class="descname">linearize_q_value</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.PowerLaw.linearize_q_value" title="Permalink to this definition">¶</a></dt>
1017<dd><p>Transform the input q-value for linearization</p>
1018<table class="docutils field-list" frame="void" rules="none">
1019<col class="field-name" />
1020<col class="field-body" />
1021<tbody valign="top">
1022<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>value</strong> &#8211; q-value</td>
1023</tr>
1024<tr class="field-even field"><th class="field-name">Returns:</th><td class="field-body">log(q)</td>
1025</tr>
1026</tbody>
1027</table>
1028</dd></dl>
1029
1030</dd></dl>
1031
1032<dl class="class">
1033<dt id="sans.invariant.invariant.Transform">
1034<em class="property">class </em><tt class="descclassname">sans.invariant.invariant.</tt><tt class="descname">Transform</tt><a class="headerlink" href="#sans.invariant.invariant.Transform" title="Permalink to this definition">¶</a></dt>
1035<dd><p>Bases: <tt class="xref py py-class docutils literal"><span class="pre">object</span></tt></p>
1036<p>Define interface that need to compute a function or an inverse
1037function given some x, y</p>
1038<dl class="attribute">
1039<dt id="sans.invariant.invariant.Transform.__class__">
1040<tt class="descname">__class__</tt><a class="headerlink" href="#sans.invariant.invariant.Transform.__class__" title="Permalink to this definition">¶</a></dt>
1041<dd><p>alias of <tt class="xref py py-class docutils literal"><span class="pre">type</span></tt></p>
1042</dd></dl>
1043
1044<dl class="attribute">
1045<dt id="sans.invariant.invariant.Transform.__delattr__">
1046<tt class="descname">__delattr__</tt><a class="headerlink" href="#sans.invariant.invariant.Transform.__delattr__" title="Permalink to this definition">¶</a></dt>
1047<dd><p>x.__delattr__(&#8216;name&#8217;) &lt;==&gt; del x.name</p>
1048</dd></dl>
1049
1050<dl class="attribute">
1051<dt id="sans.invariant.invariant.Transform.__dict__">
1052<tt class="descname">__dict__</tt><em class="property"> = &lt;dictproxy object at 0x02041A70&gt;</em><a class="headerlink" href="#sans.invariant.invariant.Transform.__dict__" title="Permalink to this definition">¶</a></dt>
1053<dd></dd></dl>
1054
1055<dl class="attribute">
1056<dt id="sans.invariant.invariant.Transform.__getattribute__">
1057<tt class="descname">__getattribute__</tt><a class="headerlink" href="#sans.invariant.invariant.Transform.__getattribute__" title="Permalink to this definition">¶</a></dt>
1058<dd><p>x.__getattribute__(&#8216;name&#8217;) &lt;==&gt; x.name</p>
1059</dd></dl>
1060
1061<dl class="attribute">
1062<dt id="sans.invariant.invariant.Transform.__hash__">
1063<tt class="descname">__hash__</tt><a class="headerlink" href="#sans.invariant.invariant.Transform.__hash__" title="Permalink to this definition">¶</a></dt>
1064<dd><p>x.__hash__() &lt;==&gt; hash(x)</p>
1065</dd></dl>
1066
1067<dl class="attribute">
1068<dt id="sans.invariant.invariant.Transform.__init__">
1069<tt class="descname">__init__</tt><a class="headerlink" href="#sans.invariant.invariant.Transform.__init__" title="Permalink to this definition">¶</a></dt>
1070<dd><p>x.__init__(...) initializes x; see x.__class__.__doc__ for signature</p>
1071</dd></dl>
1072
1073<dl class="attribute">
1074<dt id="sans.invariant.invariant.Transform.__module__">
1075<tt class="descname">__module__</tt><em class="property"> = 'sans.invariant.invariant'</em><a class="headerlink" href="#sans.invariant.invariant.Transform.__module__" title="Permalink to this definition">¶</a></dt>
1076<dd></dd></dl>
1077
1078<dl class="staticmethod">
1079<dt id="sans.invariant.invariant.Transform.__new__">
1080<em class="property">static </em><tt class="descname">__new__</tt><big>(</big><em>S</em>, <em>...</em><big>)</big> &rarr; a new object with type S, a subtype of T<a class="headerlink" href="#sans.invariant.invariant.Transform.__new__" title="Permalink to this definition">¶</a></dt>
1081<dd></dd></dl>
1082
1083<dl class="method">
1084<dt id="sans.invariant.invariant.Transform.__reduce__">
1085<tt class="descname">__reduce__</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Transform.__reduce__" title="Permalink to this definition">¶</a></dt>
1086<dd><p>helper for pickle</p>
1087</dd></dl>
1088
1089<dl class="method">
1090<dt id="sans.invariant.invariant.Transform.__reduce_ex__">
1091<tt class="descname">__reduce_ex__</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Transform.__reduce_ex__" title="Permalink to this definition">¶</a></dt>
1092<dd><p>helper for pickle</p>
1093</dd></dl>
1094
1095<dl class="attribute">
1096<dt id="sans.invariant.invariant.Transform.__repr__">
1097<tt class="descname">__repr__</tt><a class="headerlink" href="#sans.invariant.invariant.Transform.__repr__" title="Permalink to this definition">¶</a></dt>
1098<dd><p>x.__repr__() &lt;==&gt; repr(x)</p>
1099</dd></dl>
1100
1101<dl class="attribute">
1102<dt id="sans.invariant.invariant.Transform.__setattr__">
1103<tt class="descname">__setattr__</tt><a class="headerlink" href="#sans.invariant.invariant.Transform.__setattr__" title="Permalink to this definition">¶</a></dt>
1104<dd><p>x.__setattr__(&#8216;name&#8217;, value) &lt;==&gt; x.name = value</p>
1105</dd></dl>
1106
1107<dl class="attribute">
1108<dt id="sans.invariant.invariant.Transform.__str__">
1109<tt class="descname">__str__</tt><a class="headerlink" href="#sans.invariant.invariant.Transform.__str__" title="Permalink to this definition">¶</a></dt>
1110<dd><p>x.__str__() &lt;==&gt; str(x)</p>
1111</dd></dl>
1112
1113<dl class="attribute">
1114<dt id="sans.invariant.invariant.Transform.__weakref__">
1115<tt class="descname">__weakref__</tt><a class="headerlink" href="#sans.invariant.invariant.Transform.__weakref__" title="Permalink to this definition">¶</a></dt>
1116<dd><p>list of weak references to the object (if defined)</p>
1117</dd></dl>
1118
1119<dl class="method">
1120<dt id="sans.invariant.invariant.Transform.evaluate_model">
1121<tt class="descname">evaluate_model</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Transform.evaluate_model" title="Permalink to this definition">¶</a></dt>
1122<dd><p>Returns an array f(x) values where f is the Transform function.</p>
1123</dd></dl>
1124
1125<dl class="method">
1126<dt id="sans.invariant.invariant.Transform.evaluate_model_errors">
1127<tt class="descname">evaluate_model_errors</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Transform.evaluate_model_errors" title="Permalink to this definition">¶</a></dt>
1128<dd><p>Returns an array of I(q) errors</p>
1129</dd></dl>
1130
1131<dl class="method">
1132<dt id="sans.invariant.invariant.Transform.extract_model_parameters">
1133<tt class="descname">extract_model_parameters</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Transform.extract_model_parameters" title="Permalink to this definition">¶</a></dt>
1134<dd><p>set private member</p>
1135</dd></dl>
1136
1137<dl class="method">
1138<dt id="sans.invariant.invariant.Transform.get_allowed_bins">
1139<tt class="descname">get_allowed_bins</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Transform.get_allowed_bins" title="Permalink to this definition">¶</a></dt>
1140<dd><p>Goes through the data points and returns a list of boolean values
1141to indicate whether each points is allowed by the model or not.</p>
1142<table class="docutils field-list" frame="void" rules="none">
1143<col class="field-name" />
1144<col class="field-body" />
1145<tbody valign="top">
1146<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>data</strong> &#8211; Data1D object</td>
1147</tr>
1148</tbody>
1149</table>
1150</dd></dl>
1151
1152<dl class="method">
1153<dt id="sans.invariant.invariant.Transform.linearize_data">
1154<tt class="descname">linearize_data</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Transform.linearize_data" title="Permalink to this definition">¶</a></dt>
1155<dd><p>Linearize data so that a linear fit can be performed.
1156Filter out the data that can&#8217;t be transformed.</p>
1157<table class="docutils field-list" frame="void" rules="none">
1158<col class="field-name" />
1159<col class="field-body" />
1160<tbody valign="top">
1161<tr class="field-odd field"><th class="field-name">Parameters:</th><td class="field-body"><strong>data</strong> &#8211; LoadData1D instance</td>
1162</tr>
1163</tbody>
1164</table>
1165</dd></dl>
1166
1167<dl class="method">
1168<dt id="sans.invariant.invariant.Transform.linearize_q_value">
1169<tt class="descname">linearize_q_value</tt><big>(</big><big>)</big><a class="headerlink" href="#sans.invariant.invariant.Transform.linearize_q_value" title="Permalink to this definition">¶</a></dt>
1170<dd><p>Transform the input q-value for linearization</p>
1171</dd></dl>
1172
1173</dd></dl>
1174
1175</div>
1176</div>
1177
1178
1179          </div>
1180        </div>
1181      </div>
1182      <div class="sphinxsidebar">
1183        <div class="sphinxsidebarwrapper">
1184  <h3><a href="../index.html">Table Of Contents</a></h3>
1185  <ul>
1186<li><a class="reference internal" href="#">invariant</a><ul>
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