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50  <h1>Source code for sas.plottools.transform</h1><div class="highlight"><pre>
51<span class="kn">import</span> <span class="nn">math</span>
52         
53         
54<div class="viewcode-block" id="toX"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.toX">[docs]</a><span class="k">def</span> <span class="nf">toX</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
55    <span class="sd">&quot;&quot;&quot;</span>
56<span class="sd">    This function is used to load value on Plottable.View</span>
57<span class="sd">    </span>
58<span class="sd">    :param x: Float value</span>
59<span class="sd">    </span>
60<span class="sd">    :return: x</span>
61<span class="sd">    </span>
62<span class="sd">    &quot;&quot;&quot;</span>
63    <span class="k">return</span> <span class="n">x</span>
64
65</div>
66<div class="viewcode-block" id="toX_pos"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.toX_pos">[docs]</a><span class="k">def</span> <span class="nf">toX_pos</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
67    <span class="sd">&quot;&quot;&quot;</span>
68<span class="sd">    This function is used to load value on Plottable.View</span>
69<span class="sd">    </span>
70<span class="sd">    :param x: Float value</span>
71<span class="sd">    </span>
72<span class="sd">    :return: x</span>
73<span class="sd">    </span>
74<span class="sd">    &quot;&quot;&quot;</span>
75    <span class="k">if</span> <span class="ow">not</span> <span class="n">x</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">:</span>
76        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="s">&quot;Transformation only accepts positive values.&quot;</span>
77    <span class="k">else</span><span class="p">:</span>
78        <span class="k">return</span> <span class="n">x</span>
79
80</div>
81<div class="viewcode-block" id="toX2"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.toX2">[docs]</a><span class="k">def</span> <span class="nf">toX2</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
82    <span class="sd">&quot;&quot;&quot;</span>
83<span class="sd">    This function is used to load value on Plottable.View</span>
84<span class="sd">    </span>
85<span class="sd">    Calculate x^(2)</span>
86<span class="sd">    </span>
87<span class="sd">    :param x: float value</span>
88<span class="sd">    </span>
89<span class="sd">    &quot;&quot;&quot;</span>
90    <span class="k">return</span> <span class="n">x</span> <span class="o">*</span> <span class="n">x</span>
91
92</div>
93<div class="viewcode-block" id="fromX2"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.fromX2">[docs]</a><span class="k">def</span> <span class="nf">fromX2</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
94    <span class="sd">&quot;&quot;&quot;</span>
95<span class="sd">    This function is used to load value on Plottable.View</span>
96<span class="sd">    Calculate square root of x</span>
97<span class="sd">     </span>
98<span class="sd">    :param x: float value</span>
99<span class="sd">     </span>
100<span class="sd">    &quot;&quot;&quot;</span>
101    <span class="k">if</span> <span class="ow">not</span> <span class="n">x</span> <span class="o">&gt;=</span> <span class="mi">0</span><span class="p">:</span>
102        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="s">&quot;square root of a negative value &quot;</span>
103    <span class="k">else</span><span class="p">:</span>
104        <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
105
106</div>
107<div class="viewcode-block" id="toX4"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.toX4">[docs]</a><span class="k">def</span> <span class="nf">toX4</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
108    <span class="sd">&quot;&quot;&quot;</span>
109<span class="sd">    This function is used to load value on Plottable.View</span>
110<span class="sd">    </span>
111<span class="sd">    Calculate x^(4)</span>
112<span class="sd">    </span>
113<span class="sd">    :param x: float value</span>
114<span class="sd">    </span>
115<span class="sd">    &quot;&quot;&quot;</span>
116    <span class="k">return</span> <span class="n">x</span> <span class="o">*</span> <span class="n">x</span> <span class="o">*</span> <span class="n">x</span> <span class="o">*</span> <span class="n">x</span>
117
118</div>
119<div class="viewcode-block" id="fromX4"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.fromX4">[docs]</a><span class="k">def</span> <span class="nf">fromX4</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
120    <span class="sd">&quot;&quot;&quot;</span>
121<span class="sd">    This function is used to load value on Plottable.View</span>
122<span class="sd">    Calculate square root of x</span>
123<span class="sd">     </span>
124<span class="sd">    :param x: float value</span>
125<span class="sd">     </span>
126<span class="sd">    &quot;&quot;&quot;</span>
127    <span class="k">if</span> <span class="ow">not</span> <span class="n">x</span> <span class="o">&gt;=</span> <span class="mi">0</span><span class="p">:</span>
128        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="s">&quot;double square root of a negative value &quot;</span>
129    <span class="k">else</span><span class="p">:</span>
130        <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">x</span><span class="p">))</span>
131         
132</div>
133<div class="viewcode-block" id="toLogX"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.toLogX">[docs]</a><span class="k">def</span> <span class="nf">toLogX</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
134    <span class="sd">&quot;&quot;&quot;</span>
135<span class="sd">    This function is used to load value on Plottable.View</span>
136<span class="sd">    calculate log x</span>
137<span class="sd">    </span>
138<span class="sd">    :param x: float value</span>
139<span class="sd">    </span>
140<span class="sd">    &quot;&quot;&quot;</span>
141    <span class="k">if</span> <span class="ow">not</span> <span class="n">x</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">:</span>
142        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="s">&quot;Log(x)of a negative value &quot;</span>
143    <span class="k">else</span><span class="p">:</span>
144        <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">log</span><span class="p">(</span><span class="n">x</span><span class="p">)</span>
145    </div>
146<div class="viewcode-block" id="toOneOverX"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.toOneOverX">[docs]</a><span class="k">def</span> <span class="nf">toOneOverX</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
147    <span class="sd">&quot;&quot;&quot;</span>
148<span class="sd">    &quot;&quot;&quot;</span>
149    <span class="k">if</span> <span class="n">x</span> <span class="o">!=</span> <span class="mi">0</span><span class="p">:</span>
150        <span class="k">return</span> <span class="mi">1</span><span class="o">/</span><span class="n">x</span>
151    <span class="k">else</span><span class="p">:</span>
152        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="s">&quot;cannot divide by zero&quot;</span>
153   
154    </div>
155<div class="viewcode-block" id="toOneOverSqrtX"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.toOneOverSqrtX">[docs]</a><span class="k">def</span> <span class="nf">toOneOverSqrtX</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="n">x</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
156    <span class="sd">&quot;&quot;&quot;</span>
157<span class="sd">    &quot;&quot;&quot;</span>
158    <span class="k">if</span> <span class="n">y</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">:</span>
159        <span class="k">return</span> <span class="mi">1</span><span class="o">/</span><span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">y</span><span class="p">)</span>
160    <span class="k">else</span><span class="p">:</span>
161        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="s">&quot;transform.toOneOverSqrtX: cannot be computed&quot;</span>
162   
163    </div>
164<div class="viewcode-block" id="toLogYX2"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.toLogYX2">[docs]</a><span class="k">def</span> <span class="nf">toLogYX2</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
165    <span class="sd">&quot;&quot;&quot;</span>
166<span class="sd">    &quot;&quot;&quot;</span>
167    <span class="k">if</span> <span class="p">(</span><span class="n">y</span> <span class="o">*</span> <span class="p">(</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="p">))</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">:</span>
168        <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">log</span><span class="p">(</span><span class="n">y</span> <span class="o">*</span> <span class="p">(</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="p">))</span>
169    <span class="k">else</span><span class="p">:</span>
170        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="s">&quot;transform.toLogYX2: cannot be computed&quot;</span>
171     
172     </div>
173<div class="viewcode-block" id="toLogYX4"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.toLogYX4">[docs]</a><span class="k">def</span> <span class="nf">toLogYX4</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
174    <span class="sd">&quot;&quot;&quot;</span>
175<span class="sd">    &quot;&quot;&quot;</span>
176    <span class="k">if</span> <span class="p">(</span><span class="n">math</span><span class="o">.</span><span class="n">pow</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="mi">4</span><span class="p">)</span> <span class="o">*</span> <span class="n">y</span><span class="p">)</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">:</span>
177        <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">log</span><span class="p">(</span><span class="n">math</span><span class="o">.</span><span class="n">pow</span><span class="p">(</span><span class="n">x</span><span class="p">,</span><span class="mi">4</span><span class="p">)</span> <span class="o">*</span> <span class="n">y</span><span class="p">)</span>
178    <span class="k">else</span><span class="p">:</span>
179        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span><span class="s">&quot;transform.toLogYX4: input error&quot;</span>
180     
181     </div>
182<div class="viewcode-block" id="toYX4"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.toYX4">[docs]</a><span class="k">def</span> <span class="nf">toYX4</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
183    <span class="sd">&quot;&quot;&quot;</span>
184<span class="sd">    &quot;&quot;&quot;</span>
185    <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">pow</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="mi">4</span><span class="p">)</span> <span class="o">*</span> <span class="n">y</span>
186</div>
187<div class="viewcode-block" id="toYX2"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.toYX2">[docs]</a><span class="k">def</span> <span class="nf">toYX2</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
188    <span class="sd">&quot;&quot;&quot;</span>
189<span class="sd">    &quot;&quot;&quot;</span>
190    <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">pow</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="mi">2</span><span class="p">)</span> <span class="o">*</span> <span class="n">y</span>
191</div>
192<div class="viewcode-block" id="toLogXY"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.toLogXY">[docs]</a><span class="k">def</span> <span class="nf">toLogXY</span><span class="p">(</span><span class="n">y</span><span class="p">,</span> <span class="n">x</span><span class="p">):</span>
193    <span class="sd">&quot;&quot;&quot;</span>
194<span class="sd">    This function is used to load value on Plottable.View</span>
195<span class="sd">    calculate log x</span>
196<span class="sd">    </span>
197<span class="sd">    :param x: float value</span>
198<span class="sd">    </span>
199<span class="sd">    &quot;&quot;&quot;</span>
200    <span class="k">if</span> <span class="ow">not</span> <span class="p">(</span><span class="n">x</span> <span class="o">*</span> <span class="n">y</span><span class="p">)</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">:</span>
201        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="s">&quot;Log(X*Y)of a negative value &quot;</span>
202    <span class="k">else</span><span class="p">:</span>
203        <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">log</span><span class="p">(</span><span class="n">x</span> <span class="o">*</span> <span class="n">y</span><span class="p">)</span>
204
205</div>
206<div class="viewcode-block" id="errToX"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.errToX">[docs]</a><span class="k">def</span> <span class="nf">errToX</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dx</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dy</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
207    <span class="sd">&quot;&quot;&quot;</span>
208<span class="sd">    calculate error of x**2</span>
209<span class="sd">    </span>
210<span class="sd">    :param x: float value</span>
211<span class="sd">    :param dx: float value</span>
212<span class="sd">    </span>
213<span class="sd">    &quot;&quot;&quot;</span>
214    <span class="k">if</span> <span class="n">dx</span> <span class="o">==</span> <span class="bp">None</span><span class="p">:</span>
215        <span class="n">dx</span> <span class="o">=</span> <span class="mi">0</span>
216    <span class="k">return</span> <span class="n">dx</span>
217
218</div>
219<div class="viewcode-block" id="errToX_pos"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.errToX_pos">[docs]</a><span class="k">def</span> <span class="nf">errToX_pos</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dx</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dy</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
220    <span class="sd">&quot;&quot;&quot;</span>
221<span class="sd">    calculate error of x**2</span>
222<span class="sd">    </span>
223<span class="sd">    :param x: float value</span>
224<span class="sd">    :param dx: float value</span>
225<span class="sd">    </span>
226<span class="sd">    &quot;&quot;&quot;</span>
227    <span class="k">if</span> <span class="n">dx</span> <span class="o">==</span> <span class="bp">None</span><span class="p">:</span>
228        <span class="n">dx</span> <span class="o">=</span> <span class="mi">0</span>
229    <span class="k">return</span> <span class="n">dx</span>
230
231</div>
232<div class="viewcode-block" id="errToX2"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.errToX2">[docs]</a><span class="k">def</span> <span class="nf">errToX2</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dx</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dy</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
233    <span class="sd">&quot;&quot;&quot;</span>
234<span class="sd">    calculate error of x**2</span>
235<span class="sd">    </span>
236<span class="sd">    :param x: float value</span>
237<span class="sd">    :param dx: float value</span>
238<span class="sd">    </span>
239<span class="sd">    &quot;&quot;&quot;</span>
240    <span class="k">if</span>  <span class="n">dx</span> <span class="o">!=</span> <span class="bp">None</span><span class="p">:</span>
241        <span class="n">err</span> <span class="o">=</span> <span class="mi">2</span> <span class="o">*</span> <span class="n">x</span> <span class="o">*</span> <span class="n">dx</span>
242        <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">fabs</span><span class="p">(</span><span class="n">err</span><span class="p">)</span>
243    <span class="k">else</span><span class="p">:</span>
244        <span class="k">return</span> <span class="mf">0.0</span>
245   
246    </div>
247<div class="viewcode-block" id="errFromX2"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.errFromX2">[docs]</a><span class="k">def</span> <span class="nf">errFromX2</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dx</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dy</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
248    <span class="sd">&quot;&quot;&quot;</span>
249<span class="sd">    calculate error of sqrt(x)</span>
250<span class="sd">    </span>
251<span class="sd">    :param x: float value</span>
252<span class="sd">    :param dx: float value</span>
253<span class="sd">    </span>
254<span class="sd">    &quot;&quot;&quot;</span>
255    <span class="k">if</span> <span class="p">(</span><span class="n">x</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">):</span>
256        <span class="k">if</span><span class="p">(</span><span class="n">dx</span> <span class="o">!=</span> <span class="bp">None</span><span class="p">):</span>
257            <span class="n">err</span> <span class="o">=</span> <span class="n">dx</span> <span class="o">/</span> <span class="p">(</span><span class="mi">2</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">x</span><span class="p">))</span>
258        <span class="k">else</span><span class="p">:</span>
259            <span class="n">err</span> <span class="o">=</span> <span class="mi">0</span>
260        <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">fabs</span><span class="p">(</span><span class="n">err</span><span class="p">)</span>
261    <span class="k">else</span><span class="p">:</span>
262        <span class="n">msg</span> <span class="o">=</span> <span class="s">&quot;transform.errFromX2: can&#39;t compute error of negative x&quot;</span>
263        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="n">msg</span>
264
265</div>
266<div class="viewcode-block" id="errToX4"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.errToX4">[docs]</a><span class="k">def</span> <span class="nf">errToX4</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dx</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dy</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
267    <span class="sd">&quot;&quot;&quot;</span>
268<span class="sd">    calculate error of x**4</span>
269<span class="sd">    </span>
270<span class="sd">    :param x: float value</span>
271<span class="sd">    :param dx: float value</span>
272<span class="sd">    </span>
273<span class="sd">    &quot;&quot;&quot;</span>
274    <span class="k">if</span>  <span class="n">dx</span> <span class="o">!=</span> <span class="bp">None</span><span class="p">:</span>
275        <span class="n">err</span> <span class="o">=</span> <span class="mi">4</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">pow</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="mi">3</span><span class="p">)</span> <span class="o">*</span> <span class="n">dx</span>
276        <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">fabs</span><span class="p">(</span><span class="n">err</span><span class="p">)</span>
277    <span class="k">else</span><span class="p">:</span>
278        <span class="k">return</span> <span class="mf">0.0</span>
279   
280    </div>
281<div class="viewcode-block" id="errFromX4"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.errFromX4">[docs]</a><span class="k">def</span> <span class="nf">errFromX4</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dx</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dy</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
282    <span class="sd">&quot;&quot;&quot;</span>
283<span class="sd">    calculate error of x^1/4</span>
284<span class="sd">    </span>
285<span class="sd">    :param x: float value</span>
286<span class="sd">    :param dx: float value</span>
287<span class="sd">    </span>
288<span class="sd">    &quot;&quot;&quot;</span>
289    <span class="k">if</span> <span class="p">(</span><span class="n">x</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">):</span>
290        <span class="k">if</span><span class="p">(</span><span class="n">dx</span> <span class="o">!=</span> <span class="bp">None</span><span class="p">):</span>
291            <span class="n">err</span> <span class="o">=</span> <span class="n">dx</span> <span class="o">/</span> <span class="p">(</span><span class="mi">4</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">pow</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="mi">3</span><span class="o">/</span><span class="mi">4</span><span class="p">))</span>
292        <span class="k">else</span><span class="p">:</span>
293            <span class="n">err</span> <span class="o">=</span> <span class="mi">0</span>
294        <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">fabs</span><span class="p">(</span><span class="n">err</span><span class="p">)</span>
295    <span class="k">else</span><span class="p">:</span>
296        <span class="n">msg</span> <span class="o">=</span> <span class="s">&quot;transform.errFromX4: can&#39;t compute error of negative x&quot;</span>
297        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="n">msg</span>
298 
299 </div>
300<div class="viewcode-block" id="errToLog10X"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.errToLog10X">[docs]</a><span class="k">def</span> <span class="nf">errToLog10X</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dx</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dy</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
301    <span class="sd">&quot;&quot;&quot;</span>
302<span class="sd">    calculate error of Log(x)</span>
303<span class="sd">    </span>
304<span class="sd">    :param x: float value</span>
305<span class="sd">    :param dx: float value</span>
306<span class="sd">    </span>
307<span class="sd">    &quot;&quot;&quot;</span>
308    <span class="k">if</span> <span class="n">dx</span> <span class="o">==</span> <span class="bp">None</span><span class="p">:</span>
309        <span class="n">dx</span> <span class="o">=</span> <span class="mi">0</span>
310       
311    <span class="c"># Check that the point on the graph is positive</span>
312    <span class="c"># within errors</span>
313    <span class="k">if</span> <span class="ow">not</span> <span class="p">(</span><span class="n">x</span> <span class="o">-</span> <span class="n">dx</span><span class="p">)</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">:</span>
314        <span class="n">msg</span> <span class="o">=</span> <span class="s">&quot;Transformation does not accept&quot;</span>
315        <span class="n">msg</span> <span class="o">+=</span> <span class="s">&quot; point that are consistent with zero.&quot;</span>
316        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="n">msg</span>
317    <span class="k">if</span> <span class="n">x</span> <span class="o">!=</span> <span class="mi">0</span><span class="p">:</span>
318        <span class="n">dx</span> <span class="o">=</span> <span class="n">dx</span> <span class="o">/</span> <span class="p">(</span><span class="n">x</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">log</span><span class="p">(</span><span class="mi">10</span><span class="p">))</span>
319    <span class="k">else</span><span class="p">:</span>
320        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="s">&quot;errToLogX: divide by zero&quot;</span>
321    <span class="k">return</span> <span class="n">dx</span>
322   
323    </div>
324<div class="viewcode-block" id="errToLogX"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.errToLogX">[docs]</a><span class="k">def</span> <span class="nf">errToLogX</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dx</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dy</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
325    <span class="sd">&quot;&quot;&quot;</span>
326<span class="sd">    calculate error of Log(x)</span>
327<span class="sd">    </span>
328<span class="sd">    :param x: float value</span>
329<span class="sd">    :param dx: float value</span>
330<span class="sd">    </span>
331<span class="sd">    &quot;&quot;&quot;</span>
332    <span class="k">if</span> <span class="n">dx</span> <span class="o">==</span> <span class="bp">None</span><span class="p">:</span>
333        <span class="n">dx</span> <span class="o">=</span> <span class="mi">0</span>
334           
335    <span class="c"># Check that the x point on the graph is zero</span>
336    <span class="k">if</span> <span class="n">x</span> <span class="o">!=</span> <span class="mi">0</span><span class="p">:</span>
337        <span class="n">dx</span> <span class="o">=</span> <span class="n">dx</span><span class="o">/</span><span class="n">x</span>
338    <span class="k">else</span><span class="p">:</span>
339        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="s">&quot;errToLogX: divide by zero&quot;</span>
340    <span class="k">return</span> <span class="n">dx</span>
341
342</div>
343<div class="viewcode-block" id="errToYX2"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.errToYX2">[docs]</a><span class="k">def</span> <span class="nf">errToYX2</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">dx</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dy</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
344    <span class="sd">&quot;&quot;&quot;</span>
345<span class="sd">    &quot;&quot;&quot;</span>
346    <span class="k">if</span> <span class="n">dx</span> <span class="o">==</span> <span class="bp">None</span><span class="p">:</span>
347        <span class="n">dx</span> <span class="o">=</span> <span class="mi">0</span>
348    <span class="k">if</span> <span class="n">dy</span> <span class="o">==</span> <span class="bp">None</span><span class="p">:</span>
349        <span class="n">dy</span> <span class="o">=</span> <span class="mi">0</span>
350    <span class="n">err</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">((</span><span class="mi">2</span> <span class="o">*</span> <span class="n">x</span> <span class="o">*</span> <span class="n">y</span> <span class="o">*</span> <span class="n">dx</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span> <span class="o">+</span> <span class="p">((</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span> <span class="o">*</span> <span class="n">dy</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span>
351    <span class="k">return</span> <span class="n">err</span>
352   
353    </div>
354<div class="viewcode-block" id="errToLogXY"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.errToLogXY">[docs]</a><span class="k">def</span> <span class="nf">errToLogXY</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">dx</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dy</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
355    <span class="sd">&quot;&quot;&quot;</span>
356<span class="sd">    calculate error of Log(xy)</span>
357<span class="sd">    </span>
358<span class="sd">    &quot;&quot;&quot;</span>
359    <span class="c"># Check that the point on the graph is positive</span>
360    <span class="c"># within errors</span>
361    <span class="k">if</span> <span class="p">(</span><span class="ow">not</span> <span class="p">(</span><span class="n">x</span> <span class="o">-</span> <span class="n">dx</span><span class="p">)</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="ow">not</span> <span class="p">(</span><span class="n">y</span> <span class="o">-</span> <span class="n">dy</span><span class="p">)</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">):</span>
362        <span class="n">msg</span> <span class="o">=</span> <span class="s">&quot;Transformation does not accept point &quot;</span>
363        <span class="n">msg</span> <span class="o">+=</span> <span class="s">&quot; that are consistent with zero.&quot;</span>
364        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="n">msg</span>
365    <span class="k">if</span> <span class="p">(</span><span class="n">x</span> <span class="o">!=</span> <span class="mi">0</span><span class="p">)</span> <span class="ow">and</span> <span class="p">(</span><span class="n">y</span> <span class="o">!=</span> <span class="mi">0</span><span class="p">):</span>
366        <span class="k">if</span> <span class="n">dx</span> <span class="o">==</span> <span class="bp">None</span><span class="p">:</span>
367            <span class="n">dx</span> <span class="o">=</span> <span class="mi">0</span>
368        <span class="k">if</span> <span class="n">dy</span> <span class="o">==</span> <span class="bp">None</span><span class="p">:</span>
369            <span class="n">dy</span> <span class="o">=</span> <span class="mi">0</span>
370        <span class="n">err</span> <span class="o">=</span> <span class="p">(</span><span class="n">dx</span><span class="o">/</span><span class="n">x</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span> <span class="o">+</span> <span class="p">(</span><span class="n">dy</span><span class="o">/</span><span class="n">y</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span>
371    <span class="k">else</span><span class="p">:</span>
372        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="s">&quot;cannot compute this error&quot;</span>
373   
374    <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">math</span><span class="o">.</span><span class="n">fabs</span><span class="p">(</span><span class="n">err</span><span class="p">))</span>
375   
376    </div>
377<div class="viewcode-block" id="errToLogYX2"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.errToLogYX2">[docs]</a><span class="k">def</span> <span class="nf">errToLogYX2</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">,</span> <span class="n">dx</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dy</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
378    <span class="sd">&quot;&quot;&quot;</span>
379<span class="sd">    calculate error of Log(yx**2)</span>
380<span class="sd">    </span>
381<span class="sd">    &quot;&quot;&quot;</span>
382    <span class="c"># Check that the point on the graph is positive</span>
383    <span class="c"># within errors</span>
384    <span class="k">if</span> <span class="p">(</span><span class="ow">not</span> <span class="p">(</span><span class="n">x</span> <span class="o">-</span> <span class="n">dx</span><span class="p">)</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="ow">not</span> <span class="p">(</span><span class="n">y</span> <span class="o">-</span> <span class="n">dy</span><span class="p">)</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">):</span>
385        <span class="n">msg</span> <span class="o">=</span> <span class="s">&quot;Transformation does not accept point&quot;</span>
386        <span class="n">msg</span> <span class="o">+=</span> <span class="s">&quot; that are consistent with zero.&quot;</span>
387        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="n">msg</span>
388    <span class="k">if</span> <span class="p">(</span><span class="n">x</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">)</span> <span class="ow">and</span> <span class="p">(</span><span class="n">y</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">):</span>
389        <span class="k">if</span> <span class="p">(</span><span class="n">dx</span> <span class="o">==</span> <span class="bp">None</span><span class="p">):</span>
390            <span class="n">dx</span> <span class="o">=</span> <span class="mi">0</span>
391        <span class="k">if</span> <span class="p">(</span><span class="n">dy</span> <span class="o">==</span> <span class="bp">None</span><span class="p">):</span>
392            <span class="n">dy</span> <span class="o">=</span> <span class="mi">0</span>
393        <span class="n">err</span> <span class="o">=</span> <span class="p">(</span><span class="mf">2.0</span><span class="o">*</span><span class="n">dx</span><span class="o">/</span><span class="n">x</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span> <span class="o">+</span> <span class="p">(</span><span class="n">dy</span><span class="o">/</span><span class="n">y</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span>
394    <span class="k">else</span><span class="p">:</span>
395        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="s">&quot;cannot compute this error&quot;</span>
396    <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="n">math</span><span class="o">.</span><span class="n">fabs</span><span class="p">(</span><span class="n">err</span><span class="p">))</span>
397       
398        </div>
399<div class="viewcode-block" id="errOneOverX"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.errOneOverX">[docs]</a><span class="k">def</span> <span class="nf">errOneOverX</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dx</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dy</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
400    <span class="sd">&quot;&quot;&quot;</span>
401<span class="sd">    calculate error on 1/x</span>
402<span class="sd">    </span>
403<span class="sd">    &quot;&quot;&quot;</span>
404    <span class="k">if</span> <span class="p">(</span><span class="n">x</span> <span class="o">!=</span> <span class="mi">0</span><span class="p">):</span>
405        <span class="k">if</span> <span class="n">dx</span> <span class="o">==</span> <span class="bp">None</span><span class="p">:</span>
406            <span class="n">dx</span> <span class="o">=</span> <span class="mi">0</span>
407        <span class="n">err</span> <span class="o">=</span> <span class="n">dx</span><span class="o">/</span><span class="n">x</span><span class="o">**</span><span class="mi">2</span>
408    <span class="k">else</span><span class="p">:</span>
409        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="s">&quot;Cannot compute this error&quot;</span>
410    <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">fabs</span><span class="p">(</span><span class="n">err</span><span class="p">)</span>
411
412</div>
413<div class="viewcode-block" id="errOneOverSqrtX"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.errOneOverSqrtX">[docs]</a><span class="k">def</span> <span class="nf">errOneOverSqrtX</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dx</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dy</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
414    <span class="sd">&quot;&quot;&quot;</span>
415<span class="sd">    Calculate error on 1/sqrt(x)</span>
416<span class="sd">    </span>
417<span class="sd">    &quot;&quot;&quot;</span>
418    <span class="k">if</span> <span class="p">(</span><span class="n">x</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">):</span>
419        <span class="k">if</span> <span class="n">dx</span> <span class="o">==</span> <span class="bp">None</span><span class="p">:</span>
420            <span class="n">dx</span> <span class="o">=</span> <span class="mi">0</span>
421        <span class="n">err</span> <span class="o">=</span> <span class="o">-</span><span class="mi">1</span><span class="o">/</span><span class="mi">2</span><span class="o">*</span><span class="n">math</span><span class="o">.</span><span class="n">pow</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="o">-</span><span class="mf">3.0</span><span class="o">/</span><span class="mf">2.0</span><span class="p">)</span> <span class="o">*</span> <span class="n">dx</span>
422    <span class="k">else</span><span class="p">:</span>
423        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="s">&quot;Cannot compute this error&quot;</span>
424    <span class="k">return</span> <span class="n">math</span><span class="o">.</span><span class="n">fabs</span><span class="p">(</span><span class="n">err</span><span class="p">)</span>
425
426</div>
427<div class="viewcode-block" id="errToLogYX4"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.errToLogYX4">[docs]</a><span class="k">def</span> <span class="nf">errToLogYX4</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dx</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dy</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
428    <span class="sd">&quot;&quot;&quot;</span>
429<span class="sd">    error for ln(y*x^(4))</span>
430<span class="sd">    </span>
431<span class="sd">    :param x: float value</span>
432<span class="sd">    </span>
433<span class="sd">    &quot;&quot;&quot;</span>
434    <span class="c"># Check that the point on the graph is positive</span>
435    <span class="c"># within errors</span>
436    <span class="k">if</span> <span class="p">(</span><span class="ow">not</span> <span class="p">(</span><span class="n">x</span> <span class="o">-</span> <span class="n">dx</span><span class="p">)</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">)</span> <span class="ow">or</span> <span class="p">(</span><span class="ow">not</span> <span class="p">(</span><span class="n">y</span> <span class="o">-</span> <span class="n">dy</span><span class="p">)</span> <span class="o">&gt;</span> <span class="mi">0</span><span class="p">):</span>
437        <span class="n">msg</span> <span class="o">=</span> <span class="s">&quot;Transformation does not accept point &quot;</span>
438        <span class="n">msg</span> <span class="o">+=</span> <span class="s">&quot; that are consistent with zero.&quot;</span>
439        <span class="k">raise</span> <span class="ne">ValueError</span><span class="p">,</span> <span class="n">msg</span>
440    <span class="k">if</span> <span class="n">dx</span> <span class="o">==</span> <span class="bp">None</span><span class="p">:</span>
441        <span class="n">dx</span> <span class="o">=</span> <span class="mi">0</span>
442    <span class="k">if</span> <span class="n">dy</span> <span class="o">==</span> <span class="bp">None</span><span class="p">:</span>
443        <span class="n">dy</span> <span class="o">=</span> <span class="mi">0</span>
444    <span class="n">err</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">((</span><span class="mf">4.0</span> <span class="o">*</span> <span class="n">dx</span><span class="o">/</span><span class="n">x</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span>  <span class="o">+</span> <span class="p">(</span><span class="n">dy</span><span class="o">/</span><span class="n">y</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span>
445    <span class="k">return</span> <span class="n">err</span>
446
447</div>
448<div class="viewcode-block" id="errToYX4"><a class="viewcode-back" href="../../../dev/api/sas.plottools.html#sas.plottools.transform.errToYX4">[docs]</a><span class="k">def</span> <span class="nf">errToYX4</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dx</span><span class="o">=</span><span class="bp">None</span><span class="p">,</span> <span class="n">dy</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span>
449    <span class="sd">&quot;&quot;&quot;</span>
450<span class="sd">    error for (y*x^(4))</span>
451<span class="sd">    </span>
452<span class="sd">    :param x: float value</span>
453<span class="sd">    </span>
454<span class="sd">    &quot;&quot;&quot;</span>
455    <span class="c"># Check that the point on the graph is positive</span>
456    <span class="c"># within errors</span>
457
458    <span class="k">if</span> <span class="n">dx</span> <span class="o">==</span> <span class="bp">None</span><span class="p">:</span>
459        <span class="n">dx</span> <span class="o">=</span> <span class="mi">0</span>
460    <span class="k">if</span> <span class="n">dy</span> <span class="o">==</span> <span class="bp">None</span><span class="p">:</span>
461        <span class="n">dy</span> <span class="o">=</span> <span class="mi">0</span>
462    <span class="n">err</span> <span class="o">=</span> <span class="n">math</span><span class="o">.</span><span class="n">sqrt</span><span class="p">((</span><span class="n">dy</span> <span class="o">*</span> <span class="nb">pow</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="mi">4</span><span class="p">))</span><span class="o">**</span><span class="mi">2</span>  <span class="o">+</span> <span class="p">(</span><span class="mi">4</span> <span class="o">*</span> <span class="n">y</span> <span class="o">*</span> <span class="n">dx</span> <span class="o">*</span> <span class="n">math</span><span class="o">.</span><span class="n">pow</span><span class="p">(</span><span class="n">x</span><span class="p">,</span> <span class="mi">3</span><span class="p">))</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span>
463    <span class="k">return</span> <span class="n">err</span></div>
464</pre></div>
465
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