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<div class="moz-cite-prefix">On 20/11/2012 17:28, Paul Carrico
wrote:<br>
</div>
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<div class="WordSection1">
<p class="MsoNormal"><span style="color:#1F497D" lang="EN-US">Finally
I think I’ve found how to proceed .. at the same time I
think I understood the use of the dot “.” (see after the
cos)<o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D" lang="EN-US"><o:p> </o:p></span></p>
</div>
</blockquote>
You are right, but take care that your code will work if and only if
at least one of i or j are scalars.<br>
If you want your code being able to work when i and j are vectors
you can use the kronecker product .*.<br>
<br>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:#B01813" lang="EN-US">function</span><span
style="font-family:Monospaced" lang="EN-US"> <b><span
style="color:#834310">vect_fct</span></b><span
style="color:#5C5C5C">=</span><u><span style="color:black">fct_angles</span></u><span
style="color:#4A55DB">(</span><b><span style="color:#834310">i</span></b><span
style="color:black">, </span><b><span style="color:#834310">j</span></b><span
style="color:#4A55DB">)<br>
</span></span></p>
<p class="MsoNormal"> i=i(:);j=j(:); //transform i and j into
column vectors<br>
<span style="font-family:Monospaced" lang="EN-US"><span
style="color:#4A55DB"></span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:Monospaced"
lang="EN-US"> <b><span style="color:#834310">vect_fct3</span></b>
<span style="color:#5C5C5C">=</span> <span
style="color:#4A55DB">[</span> <span style="color:#4A55DB">(</span><span
style="color:#32B9B9">cos</span><span style="color:#4A55DB">(</span><b><span
style="color:#834310">i</span></b><span
style="color:#4A55DB">)</span></span><b><span
style="font-size:18.0pt;font-family:Monospaced;color:#5C5C5C"
lang="EN-US">.</span></b><span style="font-family:Monospaced"
lang="EN-US"> <span style="color:#5C5C5C">*</span></span><span
style="font-family:Monospaced" lang="EN-US"><span
style="color:#5C5C5C"><span style="font-family:Monospaced"
lang="EN-US"><span style="color:#4A55DB"></span></span><b><span
style="font-size:18.0pt;font-family:Monospaced;color:#5C5C5C"
lang="EN-US">.</span></b><span
style="font-family:Monospaced" lang="EN-US"></span></span><span
style="color:#32B9B9">sin</span><span style="color:#4A55DB">(</span><b><span
style="color:#834310">j</span></b><span
style="color:#4A55DB">)</span> <span style="color:#4A55DB">)</span>,
<span style="color:#4A55DB">(</span><span style="color:#5C5C5C">-</span><span
style="color:#32B9B9">ones(i)</span></span><span
style="font-family:Monospaced" lang="EN-US"><span
style="color:#32B9B9"><b><span
style="font-size:18.0pt;font-family:Monospaced;color:#5C5C5C"
lang="EN-US">.</span></b><span
style="font-family:Monospaced" lang="EN-US"> <span
style="color:#5C5C5C">*</span></span><span
style="font-family:Monospaced" lang="EN-US"><span
style="color:#5C5C5C"><span style="font-family:Monospaced"
lang="EN-US"><span style="color:#4A55DB"></span></span><b><span
style="font-size:18.0pt;font-family:Monospaced;color:#5C5C5C"
lang="EN-US">.</span></b></span></span>sin</span><span
style="color:#4A55DB">(</span><b><span style="color:#834310">j</span></b><span
style="color:#4A55DB">))</span>, </span><span
style="font-family:Monospaced" lang="EN-US"><b><span
style="color:#834310">i</span></b></span><span
style="font-family:Monospaced" lang="EN-US"><span
style="font-family:Monospaced" lang="EN-US"><span
style="font-family:Monospaced" lang="EN-US"><b><span
style="color:#834310"><span
style="font-family:Monospaced" lang="EN-US"><span
style="color:#32B9B9"><b><span
style="font-size:18.0pt;font-family:Monospaced;color:#5C5C5C"
lang="EN-US">.</span></b><span
style="font-family:Monospaced" lang="EN-US"> <span
style="color:#5C5C5C">*</span></span><span
style="font-family:Monospaced" lang="EN-US"><span
style="color:#5C5C5C"><span
style="font-family:Monospaced" lang="EN-US"><span
style="color:#4A55DB"></span></span><b><span
style="font-size:18.0pt;font-family:Monospaced;color:#5C5C5C"
lang="EN-US">.<small><small>ones(j)</small></small></span></b></span></span></span></span></span></b></span></span>,</span><span
style="font-family:Monospaced" lang="EN-US"><span
style="font-family:Monospaced" lang="EN-US"> <b><span
style="color:#834310"></span></b></span><span
style="font-family:Monospaced" lang="EN-US"><b><span
style="color:#834310"><span style="font-family:Monospaced"
lang="EN-US"><span style="color:#5C5C5C"></span><span
style="color:#32B9B9">ones(i)</span></span><span
style="font-family:Monospaced" lang="EN-US"><span
style="color:#32B9B9"><b><span
style="font-size:18.0pt;font-family:Monospaced;color:#5C5C5C"
lang="EN-US">.</span></b><span
style="font-family:Monospaced" lang="EN-US"> <span
style="color:#5C5C5C">*</span></span><span
style="font-family:Monospaced" lang="EN-US"><span
style="color:#5C5C5C"><span
style="font-family:Monospaced" lang="EN-US"><span
style="color:#4A55DB"></span></span><b><span
style="font-size:18.0pt;font-family:Monospaced;color:#5C5C5C"
lang="EN-US">.</span></b></span></span></span></span></span></b></span>
<b><span style="color:#834310">j</span></b><span
style="color:#4A55DB">]</span><span style="color:black">;</span><o:p></o:p></span><span
style="font-family:Monospaced;color:#B01813"><br>
endfunction</span></p>
<br>
Serge Steer<br>
<blockquote
cite="mid:000601cdc73c$0d9f20b0$28dd6210$@carrico@free.fr"
type="cite">
<div class="WordSection1">
<p class="MsoNormal"><span style="color:#1F497D" lang="EN-US">Paul<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"><span style="color:#1F497D" lang="EN-US">###################################################<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:#B01813" lang="EN-US">function</span><span
style="font-family:Monospaced" lang="EN-US"> <b><span
style="color:#834310">vect_fct</span></b><span
style="color:#5C5C5C">=</span><u><span style="color:black">fct_angles</span></u><span
style="color:#4A55DB">(</span><b><span
style="color:#834310">i</span></b><span
style="color:black">, </span><b><span
style="color:#834310">j</span></b><span
style="color:#4A55DB">)</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:Monospaced"
lang="EN-US"> <b><span style="color:#834310">vect_fct3</span></b>
<span style="color:#5C5C5C">=</span> <span
style="color:#4A55DB">[</span> <span
style="color:#4A55DB">(</span><span style="color:#32B9B9">cos</span><span
style="color:#4A55DB">(</span><b><span
style="color:#834310">i</span></b><span
style="color:#4A55DB">)</span></span><b><span
style="font-size:18.0pt;font-family:Monospaced;color:#5C5C5C"
lang="EN-US">.</span></b><span
style="font-family:Monospaced" lang="EN-US"> <span
style="color:#5C5C5C">*</span> <span
style="color:#32B9B9">sin</span><span
style="color:#4A55DB">(</span><b><span
style="color:#834310">j</span></b><span
style="color:#4A55DB">)</span> <span
style="color:#4A55DB">)</span> <span
style="color:#4A55DB">(</span><span style="color:#5C5C5C">-</span><span
style="color:#32B9B9">sin</span><span
style="color:#4A55DB">(</span><b><span
style="color:#834310">j</span></b><span
style="color:#4A55DB">))</span> <b><span
style="color:#834310">i</span></b> <b><span
style="color:#834310">j</span></b><span
style="color:#4A55DB">]</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:#B01813">endfunction</span><span
style="font-family:Monospaced"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D"><o:p> </o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:black" lang="EN-US">B</span><span
style="font-family:Monospaced" lang="EN-US"> <span
style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">zeros</span><span
style="color:#4A55DB">(</span><span
style="color:rosybrown">130321</span><span
style="color:black">,</span><span style="color:rosybrown">4</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;color:black" lang="EN-US">theta_vect</span><span
style="font-family:Monospaced" lang="EN-US"> <span
style="color:#5C5C5C">=</span> <span
style="color:#4A55DB">(</span><span
style="color:rosybrown">0</span><span
style="color:#FFAA00">:</span><span
style="color:rosybrown">360</span><span
style="color:#4A55DB">)</span><span style="color:#5C5C5C">'.*.</span><span
style="color:#32B9B9">ones</span><span
style="color:#4A55DB">(</span><span
style="color:rosybrown">361</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;color:black" lang="EN-US">fi_vect</span><span
style="font-family:Monospaced" lang="EN-US"> <span
style="color:#5C5C5C">=</span> <span
style="color:#4A55DB">(</span><span style="color:#32B9B9">ones</span><span
style="color:#4A55DB">(</span><span
style="color:rosybrown">361</span><span
style="color:black">,</span><span style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:#5C5C5C">'.*.</span><span
style="color:#4A55DB">[</span><span
style="color:rosybrown">0</span><span
style="color:#FFAA00">:</span><span
style="color:rosybrown">360</span><span
style="color:#4A55DB">])</span><span style="color:#5C5C5C">'</span><span
style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:Monospaced"
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:black" lang="EN-US">B</span><span
style="font-family:Monospaced" lang="EN-US"> <span
style="color:#5C5C5C">=</span> <span style="color:black">fct_angles3</span><span
style="color:#4A55DB">(</span><span style="color:black">theta_vect</span><span
style="color:#4A55DB">([</span><span
style="color:rosybrown">1</span><span
style="color:#FFAA00">:</span><span
style="color:rosybrown">130321</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">,fi_vect</span><span
style="color:#4A55DB">([</span><span
style="color:rosybrown">1</span><span
style="color:#FFAA00">:</span><span
style="color:rosybrown">130321</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="color:#1F497D" lang="EN-US"><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"><span style="color:#1F497D" lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="color:#1F497D" 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"><b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif"">De :</span></b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif"">
<a moz-do-not-send="true"
href="mailto:users-bounces@lists.scilab.org">users-bounces@lists.scilab.org</a>
[<a moz-do-not-send="true"
href="mailto:users-bounces@lists.scilab.org">mailto:users-bounces@lists.scilab.org</a>]
<b>De la part de</b> Paul Carrico<br>
<b>Envoyé :</b> mardi 20 novembre 2012 14:34<br>
<b>À :</b> 'International users mailing list for
Scilab.'<br>
</span><b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif""
lang="EN-US">Objet :</span></b><span
style="font-size:10.0pt;font-family:"Tahoma","sans-serif""
lang="EN-US"> [Scilab-users] Vectorization : how to
proceed<o:p></o:p></span></p>
</div>
</div>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Dear All<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">In the above example,
how can I proceed to perform the product (see function
fct_angles2) ?<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Indeed, theta are 2
vectors, so no problem for the fct_angles … but in case of
product, it’s naturally not work !!! what is the correct
syntax in order to use vectorization ?<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Thanks <o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">Paul<o:p></o:p></span></p>
<p class="MsoNormal"><span lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span lang="EN-US">######################################################<o:p></o:p></span></p>
<p class="MsoNormal"><span
style="font-family:Monospaced;color:#32B9B9" lang="EN-US">mode</span><span
style="font-family:Monospaced;color:#4A55DB" lang="EN-US">(</span><span
style="font-family:Monospaced;color:rosybrown" lang="EN-US">0</span><span
style="font-family:Monospaced;color:#4A55DB" lang="EN-US">)</span><span
style="font-family:Monospaced" lang="EN-US"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:Monospaced"
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-family:Monospaced"
lang="EN-US"> <span style="color:#B01813">function</span>
<b><span style="color:#834310">vect_fct</span></b><span
style="color:#5C5C5C">=</span><u><span style="color:black">fct_angles</span></u><span
style="color:#4A55DB">(</span><b><span
style="color:#834310">i</span></b><span
style="color:black">, </span><b><span
style="color:#834310">j</span></b><span
style="color:#4A55DB">)</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:Monospaced"
lang="EN-US"> <b><span style="color:#834310">vect_fct</span></b>
<span style="color:#5C5C5C">=</span> <span
style="color:#4A55DB">[</span><span style="color:#32B9B9">cos</span><span
style="color:#4A55DB">(</span><b><span
style="color:#834310">i</span></b><span
style="color:#4A55DB">)</span><span style="color:#5C5C5C">+</span><span
style="color:#32B9B9">sin</span><span
style="color:#4A55DB">(</span><b><span
style="color:#834310">j</span></b><span
style="color:#4A55DB">)</span> <span
style="color:#5C5C5C">-</span><span style="color:#32B9B9">sin</span><span
style="color:#4A55DB">(</span><b><span
style="color:#834310">j</span></b><span
style="color:#4A55DB">)</span> <b><span
style="color:#834310">i</span></b> <b><span
style="color:#834310">j</span></b><span
style="color:#4A55DB">]</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:Monospaced"
lang="EN-US"> <span style="color:#B01813">endfunction</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:Monospaced"
lang="EN-US"><o:p> </o:p></span></p>
<p class="MsoNormal"><span style="font-family:Monospaced"
lang="EN-US"> <span style="color:#B01813">function</span>
<b><span style="color:#834310">vect_fct2</span></b><span
style="color:#5C5C5C">=</span><u><span style="color:black">fct_angles2</span></u><span
style="color:#4A55DB">(</span><b><span
style="color:#834310">i</span></b><span
style="color:black">, </span><b><span
style="color:#834310">j</span></b><span
style="color:#4A55DB">)</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:Monospaced"
lang="EN-US"> <span style="color:black">vect_fct</span>
<span style="color:#5C5C5C">=</span> <span
style="color:#4A55DB">[</span><span style="color:#32B9B9">cos</span><span
style="color:#4A55DB">(</span><b><span
style="color:#834310">i</span></b><span
style="color:#4A55DB">)</span><span style="color:#5C5C5C">*</span><span
style="color:#32B9B9">sin</span><span
style="color:#4A55DB">(</span><b><span
style="color:#834310">j</span></b><span
style="color:#4A55DB">)</span> <span
style="color:#5C5C5C">-</span><span style="color:#32B9B9">sin</span><span
style="color:#4A55DB">(</span><b><span
style="color:#834310">j</span></b><span
style="color:#4A55DB">)</span> <b><span
style="color:#834310">i</span></b> <b><span
style="color:#834310">j</span></b><span
style="color:#4A55DB">]</span><span style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:Monospaced"
lang="EN-US"> <span style="color:#B01813">endfunction</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:Monospaced"
lang="EN-US"> <o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:Monospaced"
lang="EN-US"> <o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:Monospaced"
lang="EN-US"> <span style="color:black">B1</span> <span
style="color:#5C5C5C">=</span> <span
style="color:#32B9B9">zeros</span><span
style="color:#4A55DB">(</span><span
style="color:rosybrown">130321</span><span
style="color:black">,</span><span style="color:rosybrown">4</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"
lang="EN-US"> <span style="color:black">theta_vect</span>
<span style="color:#5C5C5C">=</span> <span
style="color:#4A55DB">(</span><span
style="color:rosybrown">0</span><span
style="color:#FFAA00">:</span><span
style="color:rosybrown">360</span><span
style="color:#4A55DB">)</span><span style="color:#5C5C5C">'.*.</span><span
style="color:#32B9B9">ones</span><span
style="color:#4A55DB">(</span><span
style="color:rosybrown">361</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"
lang="EN-US"> <span style="color:black">fi_vect</span> <span
style="color:#5C5C5C">=</span> <span
style="color:#4A55DB">(</span><span style="color:#32B9B9">ones</span><span
style="color:#4A55DB">(</span><span
style="color:rosybrown">361</span><span
style="color:black">,</span><span style="color:rosybrown">1</span><span
style="color:#4A55DB">)</span><span style="color:#5C5C5C">'.*.</span><span
style="color:#4A55DB">[</span><span
style="color:rosybrown">0</span><span
style="color:#FFAA00">:</span><span
style="color:rosybrown">360</span><span
style="color:#4A55DB">])</span><span style="color:#5C5C5C">'</span><span
style="color:black">;</span><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:Monospaced"
lang="EN-US"> <o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-family:Monospaced"
lang="EN-US"> <span style="color:black">B1</span> <span
style="color:#5C5C5C">=</span> <u><span
style="color:black">fct_angles</span></u><span
style="color:#4A55DB">(</span><span style="color:black">theta_vect</span><span
style="color:#4A55DB">([</span><span
style="color:rosybrown">1</span><span
style="color:#FFAA00">:</span><span
style="color:rosybrown">130321</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">,fi_vect</span><span
style="color:#4A55DB">([</span><span
style="color:rosybrown">1</span><span
style="color:#FFAA00">:</span><span
style="color:rosybrown">130321</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"
lang="EN-US"> <span style="color:black">B2</span> <span
style="color:#5C5C5C">=</span> <u><span
style="color:black">fct_angles2</span></u><span
style="color:#4A55DB">(</span><span style="color:black">theta_vect</span><span
style="color:#4A55DB">([</span><span
style="color:rosybrown">1</span><span
style="color:#FFAA00">:</span><span
style="color:rosybrown">130321</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">,fi_vect</span><span
style="color:#4A55DB">([</span><span
style="color:rosybrown">1</span><span
style="color:#FFAA00">:</span><span
style="color:rosybrown">130321</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 lang="EN-US"><o:p> </o:p></span></p>
</div>
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