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<p class="MsoNormal"><span lang="EN-US">Hi all<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">After performing tests (and modifying the target function as it should have been done first), I can better understand how to use ‘optim’ and ‘Neldermead’ procedures.<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">For my needs the mean flags are :<o:p></o:p></span></p>
<pre style="margin-left:36.0pt;text-indent:-18.0pt;mso-list:l0 level1 lfo3"><![if !supportLists]><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";mso-fareast-language:EN-US"><span style="mso-list:Ignore">-<span style="font:7.0pt "Times New Roman""> </span></span></span><![endif]><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";mso-fareast-language:EN-US">Step h in numderivative </span><span lang="EN-US" style="font-size:11.0pt;font-family:Wingdings;mso-fareast-language:EN-US">à</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";mso-fareast-language:EN-US"> usefull reading as “EE 221 Numerical Computing" Scott Hudson<o:p></o:p></span></pre>
<p class="MsoListParagraph" style="text-indent:-18.0pt;mso-list:l0 level1 lfo3"><![if !supportLists]><span lang="EN-US"><span style="mso-list:Ignore">-<span style="font:7.0pt "Times New Roman"">
</span></span></span><![endif]><span lang="EN-US">The threshold epsg in optim (%eps is the default value – such high accuracy is not necessary for my application – furthermore using a value such as 1e-5 leads to err=1 that is correct for checking)<o:p></o:p></span></p>
<pre style="margin-left:36.0pt;text-indent:-18.0pt;mso-list:l0 level1 lfo3"><![if !supportLists]><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";mso-fareast-language:EN-US"><span style="mso-list:Ignore">-<span style="font:7.0pt "Times New Roman""> </span></span></span><![endif]><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";mso-fareast-language:EN-US">Ditto for Nelder-Mead and ‘-tolfunrelative’ & ‘-tolxrelative’<o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";mso-fareast-language:EN-US"><o:p> </o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";mso-fareast-language:EN-US">Now it works fine :-)<o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";mso-fareast-language:EN-US"><o:p> </o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";mso-fareast-language:EN-US">Thanks all for the support<o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";mso-fareast-language:EN-US"><o:p> </o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Calibri","sans-serif";mso-fareast-language:EN-US">Paul<o:p></o:p></span></pre>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">#####################################################################<o:p></o:p></span></p>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#32B9B9">mode</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">(</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:rosybrown">0</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">)</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#32B9B9">clear</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p> </o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#32B9B9">global</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:rosybrown">count_use</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">count_use</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">0</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p> </o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// ****</span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#B01813">function</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <b><span style="color:#834310">f</span></b><span style="color:#5C5C5C">=</span><u><span style="color:black">lineaire</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">x</span></b><span style="color:black">, </span><b><span style="color:#834310">a2</span></b><span style="color:black">, </span><b><span style="color:#834310">b2</span></b><span style="color:#4A55DB">)</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <b><span style="color:#834310">f</span></b> <span style="color:#5C5C5C">=</span> <b><span style="color:#834310">a2</span></b><span style="color:#5C5C5C">*</span><b><span style="color:#834310">x</span></b><span style="color:#5C5C5C">+</span><b><span style="color:#834310">b2</span></b><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#B01813">endfunction</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p> </o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// ****</span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#B01813">function</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <b><span style="color:#834310">g</span></b><span style="color:#5C5C5C">=</span><u><span style="color:black">racine</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">x</span></b><span style="color:black">, </span><b><span style="color:#834310">a1</span></b><span style="color:black">, </span><b><span style="color:#834310">b1</span></b><span style="color:#4A55DB">)</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <b><span style="color:#834310">g</span></b> <span style="color:#5C5C5C">=</span> <span style="color:#32B9B9">sqrt</span><span style="color:#4A55DB">(</span><b><span style="color:#834310">a1</span></b><span style="color:#5C5C5C">*</span><b><span style="color:#834310">x</span></b><span style="color:#4A55DB">)</span> <span style="color:#5C5C5C">+</span> <b><span style="color:#834310">b1</span></b><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#B01813">endfunction</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p> </o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// ****</span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#B01813">function</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <b><span style="color:#834310">f</span></b><span style="color:#5C5C5C">=</span><u><span style="color:black">target</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">x</span></b><span style="color:black">, </span><b><span style="color:#834310">a1</span></b><span style="color:black">, </span><b><span style="color:#834310">b1</span></b><span style="color:black">, </span><b><span style="color:#834310">a2</span></b><span style="color:black">, </span><b><span style="color:#834310">b2</span></b><span style="color:#4A55DB">)</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> </span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">val_lin</span><span style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <u><span style="color:black">lineaire</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">x</span></b><span style="color:black">,</span><b><span style="color:#834310">a2</span></b><span style="color:black">,</span><b><span style="color:#834310">b2</span></b><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:black">val_rac</span> <span style="color:#5C5C5C">=</span> <u><span style="color:black">racine</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">x</span></b><span style="color:black">,</span><b><span style="color:#834310">a1</span></b><span style="color:black">,</span><b><span style="color:#834310">b1</span></b><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span style="font-size:11.0pt;font-family:"Monospaced","serif""> </span><b><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#834310">f</span></b><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:#32B9B9">sqrt</span><span style="color:#4A55DB">((</span><span style="color:black">val_lin</span> <span style="color:#5C5C5C">-</span> <span style="color:black">val_rac</span><span style="color:#4A55DB">)</span><span style="color:#5C5C5C">^</span><span style="color:rosybrown">2</span><span style="color:#4A55DB">)</span><span style="color:black">;</span> <o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p> </o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#32B9B9">global</span> <span style="color:rosybrown">count_use</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:black">count_use</span> <span style="color:#5C5C5C">=</span> <span style="color:black">count_use</span> <span style="color:#5C5C5C">+</span><span style="color:rosybrown">1</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#B01813">endfunction</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p> </o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// Cost function: </span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#B01813">function</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#4A55DB">[</span><b><span style="color:#834310">f</span></b><span style="color:black">, </span><b><span style="color:#834310">g</span></b><span style="color:black">, </span><b><span style="color:#834310">ind</span></b><span style="color:#4A55DB">]</span><span style="color:#5C5C5C">=</span><u><span style="color:black">cost</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">x</span></b><span style="color:black">, </span><b><span style="color:#834310">ind</span></b><span style="color:black">, </span><b><span style="color:#834310">a1</span></b><span style="color:black">, </span><b><span style="color:#834310">b1</span></b><span style="color:black">, </span><b><span style="color:#834310">a2</span></b><span style="color:black">, </span><b><span style="color:#834310">b2</span></b><span style="color:#4A55DB">)</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <b><span style="color:#834310">f</span></b> <span style="color:#5C5C5C">=</span> <u><span style="color:black">target</span></u><span style="color:#4A55DB">(</span><b><span style="color:#834310">x</span></b><span style="color:#4A55DB">)</span><span style="color:black">;</span> <o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <i><span style="color:#64AE64">// g = numderivative(target, x.',order = 4); </span></i><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <b><span style="color:#834310">g</span></b> <span style="color:#5C5C5C">=</span> <u><span style="color:#AE5CB0">numderivative</span></u><span style="color:#4A55DB">(</span><u><span style="color:black">target</span></u><span style="color:black">,</span> <b><span style="color:#834310">x</span></b><span style="color:#5C5C5C">.'</span><span style="color:black">,</span><span style="color:rosybrown">1e-3</span><span style="color:black">,</span> <span style="color:black">order</span> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">4</span><span style="color:#4A55DB">)</span><span style="color:black">;</span> <i><span style="color:#64AE64">// 1E-3 => see EE 221 "Numerical Computing" Scott Hudson </span></i><o:p></o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// Study of the influence of h on the number of target function calculation & the fopt accuracy:</span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// (epsg = %eps here)</span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// h = 1.e-1 => number = 220 & fopt = 2.242026e-05</span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// h = 1.e-2 => number = 195 & fopt = 2.267564e-07</span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// h = 1.e-3 => number = 170 & fopt = 2.189495e-09 ++++++</span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// h = 1.e-4 => number = 190 & fopt = 1.941203e-11</span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// h = 1.e-5 => number = 215 & fopt = 2.131628e-13</span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// h = 1.e-6 => number = 235 & fopt = 0.</span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// h = 1.e-7 => number = 255 & fopt = 7.105427e-15</span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><i><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// h = 1.e-8 => number = 275 & fopt = 0.</span></i><span style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p> </o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#B01813">endfunction</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p> </o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// *************************</span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// optimisation with optim</span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">initial_parameters</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">[</span><span style="color:rosybrown">10</span><span style="color:#4A55DB">]</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">lower_bounds</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">[</span><span style="color:rosybrown">0</span><span style="color:#4A55DB">]</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">upper_bounds</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">[</span><span style="color:rosybrown">1000</span><span style="color:#4A55DB">]</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">nocf</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">1000</span><span style="color:black">;</span> <i><span style="color:#64AE64">// number max of call of f</span></i><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">niter</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">1000</span><span style="color:black">;</span> <i><span style="color:#64AE64">// number max of iterations</span></i><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">a1</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">30</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">b1</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">2.5</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">a2</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">1</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">b2</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">2</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p> </o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">epsg</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">1e-5</span><span style="color:black">;</span> <i><span style="color:#64AE64">// gradient norm threshold (%eps by defaut) --> lead to err = 1 !!!</span></i><o:p></o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">//epsg = %eps; // lead to Err = 13</span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">epsf</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">0</span><span style="color:black">;</span> <i><span style="color:#64AE64">//threshold controlling decreasing of f (epsf = 0 by defaut)</span></i><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p> </o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">costf</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:#32B9B9">list</span> <span style="color:#4A55DB">(</span><u><span style="color:black">cost</span></u><span style="color:black">,</span> <span style="color:black">a1,</span> <span style="color:black">b1,</span> <span style="color:black">a2,</span> <span style="color:black">b2</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">[</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">fopt,</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:black">xopt,</span> <span style="color:black">gopt,</span> <span style="color:black">work,</span> <span style="color:black">iters,</span> <span style="color:black">evals,</span> <span style="color:black">err</span><span style="color:#4A55DB">]</span> <span style="color:#5C5C5C">=</span> <span style="color:#32B9B9">optim</span><span style="color:#4A55DB">(</span><span style="color:black">costf,</span><span style="color:rosybrown">'b'</span><span style="color:black">,lower_bounds,upper_bounds,initial_parameters,</span><span style="color:rosybrown">'qn'</span><span style="color:black">,</span><span style="color:rosybrown">'ar'</span><span style="color:black">,nocf,niter,epsg,epsf</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#32B9B9">printf</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">(</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:rosybrown">"Optimized value : %g\n"</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">,xopt</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">)</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">;</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#32B9B9">printf</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">(</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:rosybrown">"min cost function value (should be as closed as possible to 0) ; %e\n"</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">,fopt</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">)</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">;</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#32B9B9">printf</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">(</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:rosybrown">'Number of calculations = %d !!!\n'</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">,count_use</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">)</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">;</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p> </o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p> </o:p></span></pre>
<pre><i><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// Curves definition</span></i><span style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">x</span><span style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <u><span style="color:#AE5CB0">linspace</span></u><span style="color:#4A55DB">(</span><span style="color:rosybrown">0</span><span style="color:black">,</span><span style="color:rosybrown">50</span><span style="color:black">,</span><span style="color:rosybrown">1000</span><span style="color:#4A55DB">)</span><span style="color:#5C5C5C">'</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">plot_raci</span><span style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <u><span style="color:black">racine</span></u><span style="color:#4A55DB">(</span><span style="color:black">x,a1,b1</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">plot_lin</span><span style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <u><span style="color:black">lineaire</span></u><span style="color:#4A55DB">(</span><span style="color:black">x,a2,b2</span><span style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p> </o:p></span></pre>
<pre><u><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AE5CB0">scf</span></u><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">(</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:rosybrown">1</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">)</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">;</span><span style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#32B9B9">drawlater</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">()</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">;</span><span style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#32B9B9">xgrid</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">(</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:rosybrown">3</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">)</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">;</span><span style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">f</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <u><span style="color:#AE5CB0">gcf</span></u><span style="color:#4A55DB">()</span><span style="color:black">;</span> <o:p></o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">//f </span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">f</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">figure_size</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:#4A55DB">[</span><span style="color:rosybrown">1000</span><span style="color:black">,</span> <span style="color:rosybrown">1000</span><span style="color:#4A55DB">]</span><span style="color:black">;</span> <o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">f</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">background</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:#32B9B9">color</span><span style="color:#4A55DB">(</span><span style="color:rosybrown">255</span><span style="color:black">,</span><span style="color:rosybrown">255</span><span style="color:black">,</span><span style="color:rosybrown">255</span><span style="color:#4A55DB">)</span><span style="color:black">;</span> <o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">a</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <u><span style="color:#AE5CB0">gca</span></u><span style="color:#4A55DB">()</span><span style="color:black">;</span> <o:p></o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">//a </span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">a</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">font_size</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">2</span><span style="color:black">;</span> <o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">a</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">x_label</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">text</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">"X axis"</span> <span style="color:black">;</span> <o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">a</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">x_location</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">=</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:rosybrown">"bottom"</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">;</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">a</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">x_label</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">font_angle</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">=</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:rosybrown">0</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">;</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">a</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">x_label</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">font_size</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">4</span><span style="color:black">;</span> <o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">a</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">y_label</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">text</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">"Y axis"</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">a</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">y_location</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">=</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:rosybrown">"left"</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">;</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">a</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">y_label</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">font_angle</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">=-</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:rosybrown">90</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">;</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">a</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">Y_label</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">font_size</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">4</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">a</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">title</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">text</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">"Title"</span><span style="color:black">;</span> <o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">a</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">title</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">font_size</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">5</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">a</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">line_style</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">1</span><span style="color:black">;</span> <o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p> </o:p></span></pre>
<pre><i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#64AE64">// Curves plot</span></i><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><u><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AE5CB0">plot</span></u><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">(</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">x,plot_lin</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">)</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">;</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">e1</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <u><span style="color:#AE5CB0">gce</span></u><span style="color:#4A55DB">()</span><span style="color:black">;</span> <o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">p1</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:black">e1</span><span style="color:#5C5C5C">.</span><span style="color:#AAAAAA">children</span><span style="color:black">;</span> <o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">p1</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">thickness</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">1</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">p1</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">line_style</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">1</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">p1</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">foreground</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">3</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p> </o:p></span></pre>
<pre><u><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AE5CB0">plot</span></u><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">(</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">x,plot_raci</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">)</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">;</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">e2</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <u><span style="color:#AE5CB0">gce</span></u><span style="color:#4A55DB">()</span><span style="color:black">;</span> <o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">p2</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:black">e2</span><span style="color:#5C5C5C">.</span><span style="color:#AAAAAA">children</span><span style="color:black">;</span> <o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">p2</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">thickness</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">1</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">p2</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">line_style</span><span lang="EN-US" style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">1</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">p2</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C">.</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AAAAAA">foreground</span><span style="font-size:11.0pt;font-family:"Monospaced","serif""> <span style="color:#5C5C5C">=</span> <span style="color:rosybrown">2</span><span style="color:black">;</span><o:p></o:p></span></pre>
<pre><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#32B9B9">drawnow</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB">()</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:black">;</span><span style="font-size:11.0pt;font-family:"Monospaced","serif""><o:p></o:p></span></pre>
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<p><b><i><span style="font-size:10.0pt;font-family:"Arial","sans-serif";color:gray">EXPORT CONTROL :
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