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<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span lang="FR" style="font-size:11.0pt;color:black;mso-ansi-language:FR">Hi Samuel,<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span lang="FR" style="font-size:11.0pt;color:black;mso-ansi-language:FR"><o:p> </o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black">The functionality is very nice but the syntax proposed is maybe a bit complicated?<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black">It would be easier to combine ‘<span class="SpellE">newSizes</span>’ with a new ‘shift’ argument (but with no wrapping as proposed in
<span class="SpellE">circshift</span>).<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black">For example:<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black"><o:p> </o:p></span></font></p>
<p class="MsoNormal"><tt><font size="1" color="black" face="Courier New"><span style="font-size:9.0pt;mso-bidi-font-size:10.0pt"> m =
</span></font></tt><font size="1" face="Courier New"><span style="font-size:9.0pt;mso-bidi-font-size:10.0pt;font-family:"Courier New";mso-fareast-font-family:Calibri"><br>
<tt><font face="Courier New"><span style="mso-ansi-font-size:9.0pt"> 2. 5. 9. 3.</span></font></tt><br>
<tt><font face="Courier New"><span style="mso-ansi-font-size:9.0pt"> 2. 4. 5. 5.</span></font></tt><br>
<tt><font face="Courier New"><span style="mso-ansi-font-size:9.0pt"> 4. 1. 8. 5.<o:p></o:p></span></font></tt></span></font></p>
<p class="MsoNormal"><tt><font size="1" color="black" face="Courier New"><span style="font-size:9.0pt;mso-bidi-font-size:10.0pt"><o:p> </o:p></span></font></tt></p>
<p class="MsoNormal"><span class="SpellE"><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt;mso-bidi-font-size:11.0pt;font-family:"Courier New";color:black">resize_matrix</span></font></span><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt;mso-bidi-font-size:11.0pt;font-family:"Courier New";color:black">(m,
<span class="SpellE">newSizes</span>=[5 7], shift=[1 2])<o:p></o:p></span></font></p>
<p class="MsoNormal"><tt><font size="1" color="black" face="Courier New"><span style="font-size:9.0pt;mso-bidi-font-size:10.0pt"> <span class="SpellE">ans</span> =</span></font></tt><font size="1" face="Courier New"><span style="font-size:9.0pt;mso-bidi-font-size:10.0pt;font-family:"Courier New";mso-fareast-font-family:Calibri"><br>
<tt><font face="Courier New"><span style="mso-ansi-font-size:9.0pt"> 0. 0. 0. 0. 0. 0. 0.</span></font></tt><br>
<tt><font face="Courier New"><span style="mso-ansi-font-size:9.0pt"> 0. 0. 2. 5. 9. 3. 0.</span></font></tt><br>
<tt><font face="Courier New"><span style="mso-ansi-font-size:9.0pt"> 0. 0. 2. 4. 5. 5. 0.</span></font></tt><br>
<tt><font face="Courier New"><span style="mso-ansi-font-size:9.0pt"> 0. 0. 4. 1. 8. 5. 0.</span></font></tt><br>
<tt><font face="Courier New"><span style="mso-ansi-font-size:9.0pt"> 0. 0. 0. 0. 0. 0. 0.<o:p></o:p></span></font></tt></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt;mso-bidi-font-size:11.0pt;font-family:"Courier New";color:black"><o:p> </o:p></span></font></p>
<p class="MsoNormal"><span class="SpellE"><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt;mso-bidi-font-size:11.0pt;font-family:"Courier New";color:black">resize_matrix</span></font></span><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt;mso-bidi-font-size:11.0pt;font-family:"Courier New";color:black">(m,
<span class="SpellE">newSizes</span>=[-1 -1], shift=[-1 -2])<o:p></o:p></span></font></p>
<p class="MsoNormal"><tt><font size="1" color="black" face="Courier New"><span style="font-size:9.0pt;mso-bidi-font-size:10.0pt"> <span class="SpellE">ans</span> =<o:p></o:p></span></font></tt></p>
<p class="MsoNormal"><tt><font size="1" color="black" face="Courier New"><span style="font-size:9.0pt;mso-bidi-font-size:10.0pt"><span style="mso-spacerun:yes">
</span>5. 5. 0. 0.</span></font></tt><font size="1" face="Courier New"><span style="font-size:9.0pt;mso-bidi-font-size:10.0pt;font-family:"Courier New";mso-fareast-font-family:Calibri"><br>
<tt><font face="Courier New"><span style="mso-ansi-font-size:9.0pt"> 8. 5. 0. 0.</span></font></tt><br>
<tt><font face="Courier New"><span style="mso-ansi-font-size:9.0pt"> 0. 0. 0. 0. </span></font></tt></span></font><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt;mso-bidi-font-size:11.0pt;font-family:"Courier New";color:black"><o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt;mso-bidi-font-size:11.0pt;font-family:"Courier New";color:black"><o:p> </o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt;mso-bidi-font-size:11.0pt;font-family:"Courier New";color:black"><o:p> </o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black">Regarding extending
<span class="SpellE">circshift</span>() to non-integers I had in mind n-dimensional matrices and the discrete Fourier transform.<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black">These matrices could represent regularly sampled 1D time signals, or 2D/3D spatial functions, etc.<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black">In this context the shift theorem gives a specific meaning to the circular shifts of the input signals (corresponding to linear phase shifts in their
spectrum).<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black"><o:p> </o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black">Regards,<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black">Rafael<o:p></o:p></span></font></p>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;color:black"><o:p> </o:p></span></font></p>
<div>
<div style="border:none;border-top:solid #E1E1E1 1.0pt;padding:3.0pt 0in 0in 0in">
<p class="MsoNormal"><b><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;mso-fareast-font-family:"Times New Roman";color:windowtext;font-weight:bold">From:</span></font></b><font color="black"><span style="mso-fareast-font-family:"Times New Roman";color:windowtext">
users [mailto:users-bounces@lists.scilab.org] <b><span style="font-weight:bold">On Behalf Of
</span></b>Samuel Gougeon<br>
<b><span style="font-weight:bold">Sent:</span></b> Tuesday, January 09, 2018 8:26 PM<br>
<b><span style="font-weight:bold">To:</span></b> Users mailing list for Scilab <users@lists.scilab.org><br>
<b><span style="font-weight:bold">Subject:</span></b> Re: [Scilab-users] <span class="SpellE">
circshift</span>() : Scilab Enhancement Proposal<o:p></o:p></span></font></p>
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<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt"><o:p> </o:p></span></font></p>
<div>
<p class="MsoNormal"><font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;mso-fareast-font-family:"Times New Roman"">Hello Rafael,<br>
<br>
</span></font><font size="2"><span style="font-size:10.0pt;mso-fareast-font-family:"Times New Roman"">To go on about
<span class="SpellE">resize_matrix</span>() , padding, and shifting without wrapping:<br>
Specifying a (N>1 x 2) matrix of positive (pad) or negative (trim) margins resizing<br>
would be simple.<br>
Padding with other default elements for non-numerical arrays, or with a chosen<br>
value, is already enabled.<br>
Possible new syntaxes and examples of usages:</span></font><font color="black"><span style="color:black"><o:p></o:p></span></font></p>
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<pre><span class="default"><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt"><o:p> </o:p></span></font></span></pre>
<pre><span class="SpellE"><span class="default"><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">resMat</span></font></span></span><span class="default"> = </span><span class="SpellE"><span class="functionid">resize_matrix</span></span><span class="default">(mat, <span class="SpellE">frameWidth</span>)</span><o:p></o:p></pre>
<pre><span class="SpellE"><span class="default"><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">resMat</span></font></span></span><span class="default"> = </span><span class="SpellE"><span class="functionid">resize_matrix</span></span><span class="default">(mat, <span class="SpellE">frameWidth</span>, ..)<o:p></o:p></span></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt"><o:p> </o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">m = [<o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt"><span style="mso-spacerun:yes"> </span>6 -7 -1 -2<o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt"> -6<span style="mso-spacerun:yes"> </span>0 -2 -5<o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt"> -5<span style="mso-spacerun:yes"> </span>4 -1<span style="mso-spacerun:yes"> </span>8<o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt"><span style="mso-spacerun:yes"> </span>];<o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt"><o:p> </o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">// shift without extension nor wrapping:<o:p></o:p></span></font></pre>
<pre><span class="SpellE"><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">resize_matrix</span></font></span>(m, [0 0 ; -1 1])<o:p></o:p></pre>
<pre><span class="SpellE"><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">ans</span></font></span> =<o:p></o:p></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt"><span style="mso-spacerun:yes"> </span>-7 -1 -2<span style="mso-spacerun:yes"> </span>0<o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt"><span style="mso-spacerun:yes"> </span>0 -2 -5<span style="mso-spacerun:yes"> </span>0<o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt"><span style="mso-spacerun:yes"> </span>4 -1<span style="mso-spacerun:yes"> </span>8<span style="mso-spacerun:yes"> </span>0<o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt"><o:p> </o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">// Another case without extensions nor wrapping:<o:p></o:p></span></font></pre>
<pre><span class="SpellE"><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">resize_matrix</span></font></span>(m, [1 -1 ; 2 -2])<o:p></o:p></pre>
<pre><span class="SpellE"><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">ans</span></font></span> = <o:p></o:p></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">0<span style="mso-spacerun:yes"> </span>0<span style="mso-spacerun:yes"> </span>0<span style="mso-spacerun:yes"> </span>0 <o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">0<span style="mso-spacerun:yes"> </span>0<span style="mso-spacerun:yes"> </span>6 -7 <o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">0<span style="mso-spacerun:yes"> </span>0 -6<span style="mso-spacerun:yes"> </span>0 <o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt"><o:p> </o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">// More general<o:p></o:p></span></font></pre>
<pre><span class="SpellE"><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">resize_matrix</span></font></span>(m, [2 1 ; 1 -1])<o:p></o:p></pre>
<pre><span class="SpellE"><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">ans</span></font></span> = <o:p></o:p></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">0<span style="mso-spacerun:yes"> </span>0<span style="mso-spacerun:yes"> </span>0<span style="mso-spacerun:yes"> </span>0 <o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">0<span style="mso-spacerun:yes"> </span>0<span style="mso-spacerun:yes"> </span>0<span style="mso-spacerun:yes"> </span>0 <o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">0<span style="mso-spacerun:yes"> </span>6 -7 -1 <o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">0 -6<span style="mso-spacerun:yes"> </span>0 -2 <o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">0 -5<span style="mso-spacerun:yes"> </span>4 -1 <o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt">0<span style="mso-spacerun:yes"> </span>0<span style="mso-spacerun:yes"> </span>0<span style="mso-spacerun:yes"> </span>0 <o:p></o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt"><o:p> </o:p></span></font></pre>
<pre><font size="2" color="black" face="Courier New"><span style="font-size:10.0pt"><o:p> </o:p></span></font></pre>
<p class="MsoNormal" style="margin-bottom:12.0pt;tab-stops:45.8pt 91.6pt 137.4pt 183.2pt 229.0pt 274.8pt 320.6pt 366.4pt 412.2pt 458.0pt 503.8pt 549.6pt 595.4pt 641.2pt 687.0pt 732.8pt">
<font size="2" color="black" face="Calibri"><span style="font-size:11.0pt;mso-fareast-font-family:"Times New Roman"">Is it the kind of features you were thinking about?<br>
<br>
IMO, there is no need to implement this in another specific function, because these features are just particular cases or resizing, with a simple syntax allowing to crop borders as well.<br>
<br>
Best regards<br>
Samuel<o:p></o:p></span></font></p>
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