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<p>Hi,</p>
<p>On my computer came, in order of rapidity, 1st case, 2nd, 4th
then 3rd</p>
<p> duration1 = <br>
<br>
0.1907777</p>
<p> duration2 = <br>
<br>
0.2304603</p>
<p> duration3 = <br>
<br>
23.275328 wow!</p>
<p> duration4 = <br>
<br>
0.2531153</p>
<p>We may compare who has the best computer ^^<br>
</p>
<br>
<div class="moz-cite-prefix">Le 29/06/2017 à 09:56, Carrico, Paul a
écrit :<br>
</div>
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<p class="MsoNormal"><span lang="EN-US">Here is the correct code
– loop faster here (68 time faster with n = 100 000)<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></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","serif";color:#32B9B9;mso-fareast-language:FR">mode</span><span
style="font-family:"Monospaced","serif";color:#4A55DB;mso-fareast-language:FR">(</span><span
style="font-family:"Monospaced","serif";color:rosybrown;mso-fareast-language:FR">0</span><span
style="font-family:"Monospaced","serif";color:#4A55DB;mso-fareast-language:FR">)</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:#32B9B9;mso-fareast-language:FR">clear</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"><o:p> </o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR">n</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR">
<span style="color:#5C5C5C">=</span> <span
style="color:rosybrown">10000</span><span
style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">lower_bound</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:rosybrown">0.1</span><span
style="color:#5C5C5C">*</span><span style="color:black">n;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">upper_bound</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:rosybrown">0.6</span><span
style="color:#5C5C5C">*</span><span style="color:black">n;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">a</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">rand</span><span
style="color:#4A55DB">(</span><span style="color:black">n,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">b</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">string</span><span
style="color:#4A55DB">(</span><span style="color:black">a</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span
style="font-family:"Monospaced","serif";color:#64AE64;mso-fareast-language:FR"
lang="EN-US">// case 1 : eval on each row</span></i><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<pre><u><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#AE5CB0" lang="EN-US">tic</span></u><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB" lang="EN-US">()</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:black" lang="EN-US">;</span><span style="font-size:11.0pt;font-family:"Monospaced","serif"" lang="EN-US"><o:p></o:p></span></pre>
<pre><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:black" lang="EN-US">i</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C" lang="EN-US">=</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:rosybrown" lang="EN-US">1</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#FFAA00" lang="EN-US">:</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB" lang="EN-US">(</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:black" lang="EN-US">upper_bound</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C" lang="EN-US">-</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:black" lang="EN-US">lower_bound</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C" lang="EN-US">+</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:rosybrown" lang="EN-US">1</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB" lang="EN-US">)</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#5C5C5C" lang="EN-US">'</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:black" lang="EN-US">;</span><span style="font-size:11.0pt;font-family:"Monospaced","serif"" lang="EN-US"><o:p></o:p></span></pre>
<pre><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:black" lang="EN-US">c</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB" lang="EN-US">(</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:black" lang="EN-US">i,</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:rosybrown" lang="EN-US">1</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB" lang="EN-US">)</span><span style="font-size:11.0pt;font-family:"Monospaced","serif"" lang="EN-US"> <span style="color:#5C5C5C">=</span> <span style="color:#32B9B9">zeros</span><span style="color:#4A55DB">((</span><span style="color:black">upper_bound</span><span style="color:#5C5C5C">-</span><span style="color:black">lower_bound</span><span style="color:#5C5C5C">+</span><span style="color:rosybrown">1</span><span style="color:#4A55DB">)</span><span style="color:black">,</span><span style="color:rosybrown">1</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" lang="EN-US">c</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB" lang="EN-US">(</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:black" lang="EN-US">i,</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:rosybrown" lang="EN-US">1</span><span style="font-size:11.0pt;font-family:"Monospaced","serif";color:#4A55DB" lang="EN-US">)</span><span style="font-size:11.0pt;font-family:"Monospaced","serif"" lang="EN-US"> <span style="color:#5C5C5C">=</span> <u><span style="color:#AE5CB0">eval</span></u><span style="color:#4A55DB">(</span><span style="color:black">b</span><span style="color:#4A55DB">(</span><span style="color:black">lower_bound</span><span style="color:#FFAA00">:</span><span style="color:black">upper_bound,</span><span style="color:rosybrown">1</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" lang="EN-US">duration1</span><span style="font-size:11.0pt;font-family:"Monospaced","serif"" lang="EN-US"> <span style="color:#5C5C5C">=</span> <u><span style="color:#AE5CB0">toc</span></u><span style="color:#4A55DB">()</span><o:p></o:p></span></pre>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span
style="font-family:"Monospaced","serif";color:#64AE64;mso-fareast-language:FR"
lang="EN-US">// case 2 : eval on the complete matrix</span></i><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><u><span
style="font-family:"Monospaced","serif";color:#AE5CB0;mso-fareast-language:FR"
lang="EN-US">tic</span></u><span
style="font-family:"Monospaced","serif";color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">()</span><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">;</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">d</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">zeros</span><span
style="color:#4A55DB">((</span><span style="color:black">upper_bound</span><span
style="color:#5C5C5C">-</span><span style="color:black">lower_bound</span><span
style="color:#5C5C5C">+</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:black">,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">d</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">string</span><span
style="color:#4A55DB">(</span><span style="color:black">d</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">d</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:black">b</span><span style="color:#4A55DB">(</span><span
style="color:black">lower_bound</span><span
style="color:#FFAA00">:</span><span style="color:black">upper_bound,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR">d</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR">
<span style="color:#5C5C5C">=</span> <u><span
style="color:#AE5CB0">eval</span></u><span
style="color:#4A55DB">(</span><span style="color:black">d</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR">duration2</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR">
<span style="color:#5C5C5C">=</span> <u><span
style="color:#AE5CB0">toc</span></u><span
style="color:#4A55DB">()</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span
style="font-family:"Monospaced","serif";color:#64AE64;mso-fareast-language:FR"
lang="EN-US">// case 3 :with an uggly loop</span></i><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><u><span
style="font-family:"Monospaced","serif";color:#AE5CB0;mso-fareast-language:FR"
lang="EN-US">tic</span></u><span
style="font-family:"Monospaced","serif";color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">()</span><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">;</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">e</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">zeros</span><span
style="color:#4A55DB">((</span><span style="color:black">upper_bound</span><span
style="color:#5C5C5C">-</span><span style="color:black">lower_bound</span><span
style="color:#5C5C5C">+</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:black">,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:#A020F0;mso-fareast-language:FR"
lang="EN-US">for</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:black">i</span> <span
style="color:#5C5C5C">=</span> <span
style="color:rosybrown">
1</span> <span style="color:#FFAA00">:</span> <span
style="color:#4A55DB">(</span><span style="color:black">upper_bound</span>
<span style="color:#5C5C5C">-</span> <span
style="color:black">lower_bound</span><span
style="color:#5C5C5C">+</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:black">e</span><span
style="color:#4A55DB">(</span><span style="color:black">i,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span>
<span style="color:#5C5C5C">=</span> <u><span
style="color:#AE5CB0">eval</span></u><span
style="color:#4A55DB">(</span><span style="color:black">b</span><span
style="color:#4A55DB">(</span><span style="color:black">i</span><span
style="color:#5C5C5C">+</span><span style="color:black">lower_bound</span><span
style="color:#5C5C5C">-</span><span
style="color:rosybrown">1</span><span style="color:black">,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">))</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:#A020F0;mso-fareast-language:FR"
lang="EN-US">end</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">duration3</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <u><span
style="color:#AE5CB0">toc</span></u><span
style="color:#4A55DB">()</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><i><span
style="font-family:"Monospaced","serif";color:#64AE64;mso-fareast-language:FR"
lang="EN-US">// case 4 :with an uggly loop (eval on the
complete matrix)</span></i><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><u><span
style="font-family:"Monospaced","serif";color:#AE5CB0;mso-fareast-language:FR"
lang="EN-US">tic</span></u><span
style="font-family:"Monospaced","serif";color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">()</span><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">;</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">f</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">zeros</span><span
style="color:#4A55DB">((</span><span style="color:black">upper_bound</span><span
style="color:#5C5C5C">-</span><span style="color:black">lower_bound</span><span
style="color:#5C5C5C">+</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:black">,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">f</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">string</span><span
style="color:#4A55DB">(</span><span style="color:black">f</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:#A020F0;mso-fareast-language:FR"
lang="EN-US">for</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:black">i</span> <span
style="color:#5C5C5C">=</span> <span
style="color:rosybrown">
1</span> <span style="color:#FFAA00">:</span> <span
style="color:#4A55DB">(</span><span style="color:black">upper_bound</span>
<span style="color:#5C5C5C">-</span> <span
style="color:black">lower_bound</span><span
style="color:#4A55DB">)</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:black">f</span><span
style="color:#4A55DB">(</span><span style="color:black">i,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span>
<span style="color:#5C5C5C">=</span> <span
style="color:black">b</span><span style="color:#4A55DB">(</span><span
style="color:black">i</span><span style="color:#5C5C5C">+</span><span
style="color:black">lower_bound</span><span
style="color:#5C5C5C">-</span><span
style="color:rosybrown">1</span><span style="color:black">,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:#A020F0;mso-fareast-language:FR"
lang="EN-US">end</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">f</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <u><span
style="color:#AE5CB0">eval</span></u><span
style="color:#4A55DB">(</span><span style="color:black">f</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">duration3</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <u><span
style="color:#AE5CB0">toc</span></u><span
style="color:#4A55DB">()</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D" 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";color:black">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 moz-do-not-send="true"
name="_____replyseparator"></a><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 class="moz-txt-link-freetext" 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 class="moz-txt-link-abbreviated" href="mailto:users@lists.scilab.org">users@lists.scilab.org</a>)<br>
<b>Objet :</b> [EXTERNAL] [Scilab-users] my loop faster
than vectorization (???)<o:p></o:p></span></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
style="font-family:"Monospaced","serif";color:#32B9B9;mso-fareast-language:FR"
lang="EN-US">mode</span><span
style="font-family:"Monospaced","serif";color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">(</span><span
style="font-family:"Monospaced","serif";color:rosybrown;mso-fareast-language:FR"
lang="EN-US">0</span><span
style="font-family:"Monospaced","serif";color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">)</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:#32B9B9;mso-fareast-language:FR"
lang="EN-US">clear</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"> </span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">n</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:rosybrown">10000</span><span
style="color:black">;</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">lower_bound</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:rosybrown">0.1</span><span
style="color:#5C5C5C">*</span><span style="color:black">n;</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">upper_bound</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:rosybrown">0.6</span><span
style="color:#5C5C5C">*</span><span style="color:black">n;</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"> </span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">a</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">rand</span><span
style="color:#4A55DB">(</span><span style="color:black">n,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">b</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">string</span><span
style="color:#4A55DB">(</span><span style="color:black">a</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"> </span><o:p></o:p></p>
<p class="MsoNormal"><i><span
style="font-family:"Monospaced","serif";color:#64AE64;mso-fareast-language:FR"
lang="EN-US">// case 1 : eval on each row</span></i><o:p></o:p></p>
<p class="MsoNormal"><u><span
style="font-family:"Monospaced","serif";color:#AE5CB0;mso-fareast-language:FR"
lang="EN-US">tic</span></u><span
style="font-family:"Monospaced","serif";color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">()</span><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">;</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">c</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">zeros</span><span
style="color:#4A55DB">((</span><span style="color:black">upper_bound</span><span
style="color:#5C5C5C">-</span><span style="color:black">lower_bound</span><span
style="color:#4A55DB">)</span><span style="color:black">,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">c</span><span
style="font-family:"Monospaced","serif";color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">(</span><span
style="font-family:"Monospaced","serif";color:rosybrown;mso-fareast-language:FR"
lang="EN-US">1</span><span
style="font-family:"Monospaced","serif";color:#FFAA00;mso-fareast-language:FR"
lang="EN-US">:</span><span
style="font-family:"Monospaced","serif";color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">(</span><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">upper_bound</span><span
style="font-family:"Monospaced","serif";color:#5C5C5C;mso-fareast-language:FR"
lang="EN-US">-</span><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">lower_bound</span><span
style="font-family:"Monospaced","serif";color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">)</span><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">,</span><span
style="font-family:"Monospaced","serif";color:rosybrown;mso-fareast-language:FR"
lang="EN-US">1</span><span
style="font-family:"Monospaced","serif";color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">)</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <u><span
style="color:#AE5CB0">eval</span></u><span
style="color:#4A55DB">(</span><span style="color:black">b</span><span
style="color:#4A55DB">(</span><span
style="color:rosybrown">1</span><span
style="color:#FFAA00">:</span><span style="color:#4A55DB">(</span><span
style="color:black">upper_bound</span><span
style="color:#5C5C5C">-</span><span style="color:black">lower_bound</span><span
style="color:#4A55DB">)</span><span style="color:black">,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">))</span><span style="color:black">;</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">duration1</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <u><span
style="color:#AE5CB0">toc</span></u><span
style="color:#4A55DB">()</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"> </span><o:p></o:p></p>
<p class="MsoNormal"><i><span
style="font-family:"Monospaced","serif";color:#64AE64;mso-fareast-language:FR"
lang="EN-US">// case 2 : eval on the complete matrix</span></i><o:p></o:p></p>
<p class="MsoNormal"><u><span
style="font-family:"Monospaced","serif";color:#AE5CB0;mso-fareast-language:FR"
lang="EN-US">tic</span></u><span
style="font-family:"Monospaced","serif";color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">()</span><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">;</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">d</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">zeros</span><span
style="color:#4A55DB">((</span><span style="color:black">upper_bound</span><span
style="color:#5C5C5C">-</span><span style="color:black">lower_bound</span><span
style="color:#4A55DB">)</span><span style="color:black">,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">d</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">string</span><span
style="color:#4A55DB">(</span><span style="color:black">d</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">d</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:black">b</span><span style="color:#4A55DB">([</span><span
style="color:rosybrown">1</span><span
style="color:#FFAA00">:</span><span style="color:#4A55DB">(</span><span
style="color:black">upper_bound</span><span
style="color:#5C5C5C">-</span><span style="color:black">lower_bound</span><span
style="color:#4A55DB">)]</span><span style="color:black">,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR">d</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR">
<span style="color:#5C5C5C">=</span> <u><span
style="color:#AE5CB0">eval</span></u><span
style="color:#4A55DB">(</span><span style="color:black">d</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR">duration2</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR">
<span style="color:#5C5C5C">=</span> <u><span
style="color:#AE5CB0">toc</span></u><span
style="color:#4A55DB">()</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"> </span><o:p></o:p></p>
<p class="MsoNormal"><i><span
style="font-family:"Monospaced","serif";color:#64AE64;mso-fareast-language:FR"
lang="EN-US">// case 3 :with an uggly loop</span></i><o:p></o:p></p>
<p class="MsoNormal"><u><span
style="font-family:"Monospaced","serif";color:#AE5CB0;mso-fareast-language:FR"
lang="EN-US">tic</span></u><span
style="font-family:"Monospaced","serif";color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">()</span><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">;</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">e</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">zeros</span><span
style="color:#4A55DB">((</span><span style="color:black">upper_bound</span><span
style="color:#5C5C5C">-</span><span style="color:black">lower_bound</span><span
style="color:#4A55DB">)</span><span style="color:black">,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:#A020F0;mso-fareast-language:FR"
lang="EN-US">for</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:black">i</span> <span
style="color:#5C5C5C">=</span> <span
style="color:rosybrown">
1</span> <span style="color:#FFAA00">:</span> <span
style="color:#4A55DB">(</span><span style="color:black">upper_bound</span>
<span style="color:#5C5C5C">-</span> <span
style="color:black">lower_bound</span><span
style="color:#4A55DB">)</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:black">e</span><span
style="color:#4A55DB">(</span><span style="color:black">i,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span>
<span style="color:#5C5C5C">=</span> <u><span
style="color:#AE5CB0">eval</span></u><span
style="color:#4A55DB">(</span><span style="color:black">b</span><span
style="color:#4A55DB">(</span><span style="color:black">i</span><span
style="color:#5C5C5C">+</span><span style="color:black">lower_bound</span><span
style="color:#5C5C5C">-</span><span
style="color:rosybrown">1</span><span style="color:black">,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">))</span><span style="color:black">;</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:#A020F0;mso-fareast-language:FR"
lang="EN-US">end</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">duration3</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <u><span
style="color:#AE5CB0">toc</span></u><span
style="color:#4A55DB">()</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US"> </span><o:p></o:p></p>
<p class="MsoNormal"><i><span
style="font-family:"Monospaced","serif";color:#64AE64;mso-fareast-language:FR"
lang="EN-US">// case 4 :with an uggly loop (eval on the
complete matrix)</span></i><o:p></o:p></p>
<p class="MsoNormal"><u><span
style="font-family:"Monospaced","serif";color:#AE5CB0;mso-fareast-language:FR"
lang="EN-US">tic</span></u><span
style="font-family:"Monospaced","serif";color:#4A55DB;mso-fareast-language:FR"
lang="EN-US">()</span><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">;</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">f</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">zeros</span><span
style="color:#4A55DB">((</span><span style="color:black">upper_bound</span><span
style="color:#5C5C5C">-</span><span style="color:black">lower_bound</span><span
style="color:#4A55DB">)</span><span style="color:black">,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">f</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">string</span><span
style="color:#4A55DB">(</span><span style="color:black">f</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:#A020F0;mso-fareast-language:FR"
lang="EN-US">for</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:black">i</span> <span
style="color:#5C5C5C">=</span> <span
style="color:rosybrown">
1</span> <span style="color:#FFAA00">:</span> <span
style="color:#4A55DB">(</span><span style="color:black">upper_bound</span>
<span style="color:#5C5C5C">-</span> <span
style="color:black">lower_bound</span><span
style="color:#4A55DB">)</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:black">f</span><span
style="color:#4A55DB">(</span><span style="color:black">i,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span>
<span style="color:#5C5C5C">=</span> <span
style="color:black">b</span><span style="color:#4A55DB">(</span><span
style="color:black">i</span><span style="color:#5C5C5C">+</span><span
style="color:black">lower_bound</span><span
style="color:#5C5C5C">-</span><span
style="color:rosybrown">1</span><span style="color:black">,</span><span
style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:#A020F0;mso-fareast-language:FR"
lang="EN-US">end</span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">f</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <u><span
style="color:#AE5CB0">eval</span></u><span
style="color:#4A55DB">(</span><span style="color:black">f</span><span
style="color:#4A55DB">)</span><span style="color:black">;</span></span><o:p></o:p></p>
<p class="MsoNormal"><span
style="font-family:"Monospaced","serif";color:black;mso-fareast-language:FR"
lang="EN-US">duration3</span><span
style="font-family:"Monospaced","serif";mso-fareast-language:FR"
lang="EN-US">
<span style="color:#5C5C5C">=</span> <u><span
style="color:#AE5CB0">toc</span></u><span
style="color:#4A55DB">()</span></span><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";color:black">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"> </span><o:p></o:p></p>
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