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<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D">Hi<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D">Interesting feedback, but different of mine
</span><span lang="EN-US" style="font-family:Wingdings;color:#1F497D">J</span><span lang="EN-US" style="color:#1F497D"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D">With n=100000 with my working station under Windows 7.0 with Scilab 5.5.2<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D">(from memory I noticed the same behavior on my old laptop under Ubuntu 16.04 LTS)<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D">duration1 =<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"> 93.057 <o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"> duration2 =<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"> 108.325 <o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"> duration3 =<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"><o:p></o:p></span></p>
<p class="MsoNormal"><b><span lang="EN-US" style="color:red"> 1.279 <o:p></o:p></span></b></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"> duration3 =<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"><o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"> 135.178 <o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><u><span lang="EN-US" style="color:#1F497D">Nota</span></u></i><span lang="EN-US" style="color:#1F497D">: nevertheless for huge asci files containing millions of lines (not in the same format of course) , I finally decided to “outsource”
this work<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D">Paul<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><o:p></o:p></p>
<p><b><i><span style="font-size:10.0pt;font-family:"Arial","sans-serif";color:gray">EXPORT CONTROL :
<br>
</span></i></b><b><span style="font-size:10.0pt;font-family:"Arial","sans-serif"">Cet email ne contient pas de données techniques<br>
This email does not contain technical data</span></b><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<div>
<div style="border:none;border-top:solid #B5C4DF 1.0pt;padding:3.0pt 0cm 0cm 0cm">
<p class="MsoNormal"><a name="_____replyseparator"></a><b><span style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext;mso-fareast-language:FR">De :</span></b><span style="font-size:10.0pt;font-family:"Tahoma","sans-serif";color:windowtext;mso-fareast-language:FR">
users [mailto:users-bounces@lists.scilab.org] <b>De la part de</b> Alexis Cros<br>
<b>Envoyé :</b> vendredi 30 juin 2017 12:33<br>
<b>À :</b> Users mailing list for Scilab<br>
<b>Objet :</b> [EXTERNAL] Re: [Scilab-users] my loop faster than vectorization (???)<o:p></o:p></span></p>
</div>
</div>
<p class="MsoNormal"><o:p> </o:p></p>
<p>Hi,<o:p></o:p></p>
<p>On my computer came, in order of rapidity, 1st case, 2nd, 4th then 3rd<o:p></o:p></p>
<p> duration1 = <br>
<br>
0.1907777<o:p></o:p></p>
<p> duration2 = <br>
<br>
0.2304603<o:p></o:p></p>
<p> duration3 = <br>
<br>
23.275328 wow!<o:p></o:p></p>
<p> duration4 = <br>
<br>
0.2531153<o:p></o:p></p>
<p>We may compare who has the best computer ^^<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<div>
<p class="MsoNormal">Le 29/06/2017 à 09:56, Carrico, Paul a écrit :<o:p></o:p></p>
</div>
<blockquote style="margin-top:5.0pt;margin-bottom:5.0pt">
<p class="MsoNormal"><span lang="EN-US">Here is the correct code – loop faster here (68 time faster with n = 100 000)</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US"> </span><o:p></o:p></p>
<p class="MsoNormal">I’m confuse<o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
<p class="MsoNormal">Paul<o:p></o:p></p>
<p class="MsoNormal">#############################################################<o:p></o:p></p>
<p class="MsoNormal"><span style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">mode</span><span style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">0</span><span style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><o:p></o:p></p>
<p class="MsoNormal"><span style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">clear</span><o:p></o:p></p>
<p class="MsoNormal"><span style="font-family:Monospaced;mso-fareast-language:FR"> </span><o:p></o:p></p>
<p class="MsoNormal"><span style="font-family:Monospaced;mso-fareast-language:FR">n
</span><span style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span style="font-family:Monospaced;mso-fareast-language:FR">
</span><span style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">10000</span><span style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">lower_bound
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">0.1</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">*</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">n;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">upper_bound
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">0.6</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">*</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">n;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> </span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">a
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">rand</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">n,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">b
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">string</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">a</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> </span><o:p></o:p></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-family:Monospaced;color:#64AE64;mso-fareast-language:FR">// case 1 : eval on each row</span></i><o:p></o:p></p>
<pre><u><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#AE5CB0">tic</span></u><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#4A55DB">()</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">;</span><o:p></o:p></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">i</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#5C5C5C">=</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:rosybrown">1</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#FFAA00">:</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#4A55DB">(</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">upper_bound</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#5C5C5C">-</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">lower_bound</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#5C5C5C">+</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:rosybrown">1</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#4A55DB">)</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#5C5C5C">'</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">;</span><o:p></o:p></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">c</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#4A55DB">(</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">i,</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:rosybrown">1</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#4A55DB">)</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced"> </span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#5C5C5C">=</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced"> </span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#32B9B9">zeros</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#4A55DB">((</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">upper_bound</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#5C5C5C">-</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">lower_bound</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#5C5C5C">+</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:rosybrown">1</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#4A55DB">)</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">,</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:rosybrown">1</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#4A55DB">)</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">;</span><o:p></o:p></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">c</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#4A55DB">(</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">i,</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:rosybrown">1</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#4A55DB">)</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced"> </span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#5C5C5C">=</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced"> </span><u><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#AE5CB0">eval</span></u><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#4A55DB">(</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">b</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#4A55DB">(</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">lower_bound</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#FFAA00">:</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">upper_bound,</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:rosybrown">1</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#4A55DB">))</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">;</span><o:p></o:p></pre>
<pre><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced">duration1 </span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#5C5C5C">=</span><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced"> </span><u><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#AE5CB0">toc</span></u><span lang="EN-US" style="font-size:11.0pt;font-family:Monospaced;color:#4A55DB">()</span><o:p></o:p></pre>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> </span><o:p></o:p></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-family:Monospaced;color:#64AE64;mso-fareast-language:FR">// case 2 : eval on the complete matrix</span></i><o:p></o:p></p>
<p class="MsoNormal"><u><span lang="EN-US" style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">tic</span></u><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">()</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">d
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">zeros</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">((</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">upper_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">+</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">d
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">string</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">d</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">d
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> b</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#FFAA00;mso-fareast-language:FR">:</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">upper_bound,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span style="font-family:Monospaced;mso-fareast-language:FR">d
</span><span style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span style="font-family:Monospaced;mso-fareast-language:FR">
</span><u><span style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">eval</span></u><span style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span style="font-family:Monospaced;mso-fareast-language:FR">d</span><span style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span style="font-family:Monospaced;mso-fareast-language:FR">duration2
</span><span style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span style="font-family:Monospaced;mso-fareast-language:FR">
</span><u><span style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">toc</span></u><span style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">()</span><o:p></o:p></p>
<p class="MsoNormal"><span style="font-family:Monospaced;mso-fareast-language:FR"> </span><o:p></o:p></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-family:Monospaced;color:#64AE64;mso-fareast-language:FR">// case 3 :with an uggly loop</span></i><o:p></o:p></p>
<p class="MsoNormal"><u><span lang="EN-US" style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">tic</span></u><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">()</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">e
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">zeros</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">((</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">upper_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">+</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;color:#A020F0;mso-fareast-language:FR">for</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> i
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#FFAA00;mso-fareast-language:FR">:</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">upper_bound
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">+</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> e</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">i,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><u><span lang="EN-US" style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">eval</span></u><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">b</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">i</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">+</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">))</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;color:#A020F0;mso-fareast-language:FR">end</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">duration3
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><u><span lang="EN-US" style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">toc</span></u><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">()</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> </span><o:p></o:p></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-family:Monospaced;color:#64AE64;mso-fareast-language:FR">// case 4 :with an uggly loop (eval on the complete matrix)</span></i><o:p></o:p></p>
<p class="MsoNormal"><u><span lang="EN-US" style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">tic</span></u><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">()</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">f
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">zeros</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">((</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">upper_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">+</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">f
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">string</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">f</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;color:#A020F0;mso-fareast-language:FR">for</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> i
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#FFAA00;mso-fareast-language:FR">:</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">upper_bound
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> f</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">i,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> b</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">i</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">+</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;color:#A020F0;mso-fareast-language:FR">end</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">f
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><u><span lang="EN-US" style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">eval</span></u><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">f</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">duration3
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><u><span lang="EN-US" style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">toc</span></u><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">()</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="color:#1F497D"> </span><o:p></o:p></p>
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<p class="MsoNormal"><span lang="EN-US"> </span><o:p></o:p></p>
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<p class="MsoNormal"><b><span style="font-size:10.0pt;font-family:"Tahoma","sans-serif";mso-fareast-language:FR">De :</span></b><span style="font-size:10.0pt;font-family:"Tahoma","sans-serif";mso-fareast-language:FR"> users [<a href="mailto:users-bounces@lists.scilab.org">mailto:users-bounces@lists.scilab.org</a>]
<b>De la part de</b> Carrico, Paul<br>
<b>Envoyé :</b> jeudi 29 juin 2017 09:29<br>
<b>À :</b> International users mailing list for Scilab. (<a href="mailto:users@lists.scilab.org">users@lists.scilab.org</a>)<br>
<b>Objet :</b> [EXTERNAL] [Scilab-users] my loop faster than vectorization (???)</span><o:p></o:p></p>
</div>
</div>
<p class="MsoNormal"> <o:p></o:p></p>
<p class="MsoNormal">Hi all<o:p></o:p></p>
<p class="MsoNormal"> <o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US">I’m facing a case where a loop is faster than vectorization (at least I hope I’m using vectorization) ... I’m necessarily doing something wrong but I don’t see what</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US"> </span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US">Hope somebody will point out my mistake</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US"> </span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US">Thanks for your time</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US"> </span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US">Paul</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US"> </span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US">################################################</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">mode</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">0</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">clear</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> </span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">n
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">10000</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">lower_bound
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">0.1</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">*</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">n;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">upper_bound
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">0.6</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">*</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">n;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> </span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">a
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">rand</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">n,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">b
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">string</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">a</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> </span><o:p></o:p></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-family:Monospaced;color:#64AE64;mso-fareast-language:FR">// case 1 : eval on each row</span></i><o:p></o:p></p>
<p class="MsoNormal"><u><span lang="EN-US" style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">tic</span></u><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">()</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">c
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">zeros</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">((</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">upper_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">c</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#FFAA00;mso-fareast-language:FR">:</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">upper_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><u><span lang="EN-US" style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">eval</span></u><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">b</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#FFAA00;mso-fareast-language:FR">:</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">upper_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">))</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">duration1
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><u><span lang="EN-US" style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">toc</span></u><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">()</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> </span><o:p></o:p></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-family:Monospaced;color:#64AE64;mso-fareast-language:FR">// case 2 : eval on the complete matrix</span></i><o:p></o:p></p>
<p class="MsoNormal"><u><span lang="EN-US" style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">tic</span></u><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">()</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">d
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">zeros</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">((</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">upper_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">d
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">string</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">d</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">d
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> b</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">([</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#FFAA00;mso-fareast-language:FR">:</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">upper_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)]</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span style="font-family:Monospaced;mso-fareast-language:FR">d
</span><span style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span style="font-family:Monospaced;mso-fareast-language:FR">
</span><u><span style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">eval</span></u><span style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span style="font-family:Monospaced;mso-fareast-language:FR">d</span><span style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span style="font-family:Monospaced;mso-fareast-language:FR">duration2
</span><span style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span style="font-family:Monospaced;mso-fareast-language:FR">
</span><u><span style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">toc</span></u><span style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">()</span><o:p></o:p></p>
<p class="MsoNormal"><span style="font-family:Monospaced;mso-fareast-language:FR"> </span><o:p></o:p></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-family:Monospaced;color:#64AE64;mso-fareast-language:FR">// case 3 :with an uggly loop</span></i><o:p></o:p></p>
<p class="MsoNormal"><u><span lang="EN-US" style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">tic</span></u><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">()</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">e
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">zeros</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">((</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">upper_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;color:#A020F0;mso-fareast-language:FR">for</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> i
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#FFAA00;mso-fareast-language:FR">:</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">upper_bound
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> e</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">i,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><u><span lang="EN-US" style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">eval</span></u><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">b</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">i</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">+</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">))</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;color:#A020F0;mso-fareast-language:FR">end</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">duration3
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><u><span lang="EN-US" style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">toc</span></u><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">()</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> </span><o:p></o:p></p>
<p class="MsoNormal"><i><span lang="EN-US" style="font-family:Monospaced;color:#64AE64;mso-fareast-language:FR">// case 4 :with an uggly loop (eval on the complete matrix)</span></i><o:p></o:p></p>
<p class="MsoNormal"><u><span lang="EN-US" style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">tic</span></u><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">()</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">f
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">zeros</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">((</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">upper_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">f
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#32B9B9;mso-fareast-language:FR">string</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">f</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;color:#A020F0;mso-fareast-language:FR">for</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> i
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#FFAA00;mso-fareast-language:FR">:</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">upper_bound
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> f</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">i,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR"> b</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">i</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">+</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">lower_bound</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">-</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">,</span><span lang="EN-US" style="font-family:Monospaced;color:rosybrown;mso-fareast-language:FR">1</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;color:#A020F0;mso-fareast-language:FR">end</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">f
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><u><span lang="EN-US" style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">eval</span></u><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">(</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">f</span><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">)</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">;</span><o:p></o:p></p>
<p class="MsoNormal"><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">duration3
</span><span lang="EN-US" style="font-family:Monospaced;color:#5C5C5C;mso-fareast-language:FR">=</span><span lang="EN-US" style="font-family:Monospaced;mso-fareast-language:FR">
</span><u><span lang="EN-US" style="font-family:Monospaced;color:#AE5CB0;mso-fareast-language:FR">toc</span></u><span lang="EN-US" style="font-family:Monospaced;color:#4A55DB;mso-fareast-language:FR">()</span><o:p></o:p></p>
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