<html lang="en"> <head> <title>Examples - GNU Octave</title> <meta http-equiv="Content-Type" content="text/html"> <meta name="description" content="GNU Octave"> <meta name="generator" content="makeinfo 4.13"> <link title="Top" rel="start" href="index.html#Top"> <link rel="up" href="Vectorization-and-Faster-Code-Execution.html#Vectorization-and-Faster-Code-Execution" title="Vectorization and Faster Code Execution"> <link rel="prev" href="Miscellaneous-Techniques.html#Miscellaneous-Techniques" title="Miscellaneous Techniques"> <link href="http://www.gnu.org/software/texinfo/" rel="generator-home" title="Texinfo Homepage"> <meta http-equiv="Content-Style-Type" content="text/css"> <style type="text/css"><!-- pre.display { font-family:inherit } pre.format { font-family:inherit } pre.smalldisplay { font-family:inherit; font-size:smaller } pre.smallformat { font-family:inherit; font-size:smaller } pre.smallexample { font-size:smaller } pre.smalllisp { font-size:smaller } span.sc { font-variant:small-caps } span.roman { font-family:serif; font-weight:normal; } span.sansserif { font-family:sans-serif; font-weight:normal; } --></style> </head> <body> <div class="node"> <a name="Examples"></a> <p> Previous: <a rel="previous" accesskey="p" href="Miscellaneous-Techniques.html#Miscellaneous-Techniques">Miscellaneous Techniques</a>, Up: <a rel="up" accesskey="u" href="Vectorization-and-Faster-Code-Execution.html#Vectorization-and-Faster-Code-Execution">Vectorization and Faster Code Execution</a> <hr> </div> <h3 class="section">19.6 Examples</h3> <p>The following are examples of vectorization questions asked by actual users of Octave and their solutions. <!-- FIXME: We need a lot more examples here. --> <ul> <li>For a vector <code>A</code>, the following loop <pre class="example"> n = length (A); B = zeros (n, 2); for i = 1:length(A) ## this will be two columns, the first is the difference and ## the second the mean of the two elements used for the diff. B(i,:) = [A(i+1)-A(i), (A(i+1) + A(i))/2)]; endfor </pre> <p class="noindent">can be turned into the following one-liner: <pre class="example"> B = [diff(A)(:), 0.5*(A(1:end-1)+A(2:end))(:)] </pre> <p>Note the usage of colon indexing to flatten an intermediate result into a column vector. This is a common vectorization trick. </ul> <!-- DO NOT EDIT! Generated automatically by munge-texi.pl. --> <!-- Copyright (C) 1996-2012 John W. Eaton --> <!-- This file is part of Octave. --> <!-- Octave is free software; you can redistribute it and/or modify it --> <!-- under the terms of the GNU General Public License as published by the --> <!-- Free Software Foundation; either version 3 of the License, or (at --> <!-- your option) any later version. --> <!-- Octave is distributed in the hope that it will be useful, but WITHOUT --> <!-- ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or --> <!-- FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License --> <!-- for more details. --> <!-- You should have received a copy of the GNU General Public License --> <!-- along with Octave; see the file COPYING. If not, see --> <!-- <http://www.gnu.org/licenses/>. --> </body></html>