% refcard.tex
%
% This file is TeX source for a reference card describing Octave.
%
% Copyright (C) 1996-2024 The Octave Project Developers
%
% See the file COPYRIGHT.md in the top-level directory of this
% distribution or <https://octave.org/copyright/>.
%
% 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
% <https://www.gnu.org/licenses/>.
%
%
% Heavily modified by jwe from the source for the gdb reference card,
% which was originally written by Roland Pesch <pesch@cygnus.com>.
%
%   Copyright (C) 1991, 1992 Free Software Foundation, Inc.
%   Permission is granted to make and distribute verbatim copies of
%   this reference provided the copyright notices and permission notices
%   are preserved on all copies.
%
%
% TeX markup is a programming language; accordingly this file is source
% for a program to generate a reference.
%
% You only have to set the total width and height of the paper, the
% horizontal and vertical margin space measured from *paper edge*
% and the interline and interspec spacing.
% In order to support a new papersize, you have to fiddle with the
% latter four dimensions.  Just try out a few values.
% All other values will be computed at process time so it should be
% quite easy to support different paper sizes - only four values to
% guess :-)
%
% To find the configuration places, just search for the string
% "User configuration".
%
%   -- Andreas Vogel (av@ssw.de)
%
% NOTE ON INTENTIONAL OMISSIONS: This reference card includes many
% Octave commands, but due to space constraints there are some things
% I chose to omit.  In general, not all synonyms for commands are
% covered, nor all variations of a command.

\def\octaveversion{8.0.0}

% ------------------
% multicolumn format
% ------------------

% Declarations (these must come first)

\newdimen\totalwidth
\newdimen\totalheight
\newdimen\hmargin
\newdimen\vmargin
\newdimen\secskip
\newdimen\lskip
\newdimen\barwidth
\newdimen\barheight
\newdimen\intersecwidth

\newcount\columnsperpage

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                     %
% CONFIGURATION                                                       %
%                                                                     %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% There are currently 8 total columns, so some of these options will
% not create a single page reference card.

% Choose a paper size.  Default is US letter size.

\def\refcardafoursize{a4}      % 3 columns, A4 paper (1 in = 254 mm)
\def\refcardlegalsize{legal}   % 4 columns, US legal paper (8.5 x 14in)
\def\refcardlettersize{letter} % 3 columns, US letter paper (8.5 x 11in)

\ifx\refcardsize\refcardafoursize
  \columnsperpage=3     % total number of columns to typeset
  \totalwidth=297mm     % total width of paper
  \totalheight=210mm    % total height of paper
  \hmargin=9mm          % horizontal margin width
  \vmargin=7mm          % vertical margin width
  \secskip=3mm          % space between refcard secs
  \lskip=0.4mm          % extra skip between \sec entries
\else
  \ifx\refcardsize\refcardlegalsize
    \columnsperpage=4   % total number of columns to typeset
    \totalwidth=14in    % total width of paper
    \totalheight=8.5in  % total height of paper
    \hmargin=0.20in     % horizontal margin width
    \vmargin=0.25in     % vertical margin width
    \secskip=0.75pc     % space between refcard secs
    \lskip=2pt          % extra skip between \sec entries
  \else
    \columnsperpage=3   % total number of columns to typeset
    \totalwidth=11in    % total width of paper
    \totalheight=8.5in  % total height of paper
    \hmargin=0.25in     % horizontal margin width
    \vmargin=0.25in     % vertical margin width
    \secskip=0.75pc     % space between refcard secs
    \lskip=2pt          % extra skip between \sec entries
  \fi
\fi

\ifx\pdfoutput\undefined
\else
  \pdfpageheight=\totalheight
  \pdfpagewidth=\totalwidth
\fi

% Change according to personal taste, not papersize dependent.

\barwidth=.1pt       % width of the cropmark bar
\barheight=2pt       % height of the cropmark bar
\intersecwidth=0.5em % width between \itmwid and \dfnwid

% Uncomment only one of the following definitions for folding guides.

% No printed folding guide:

\def\vdecor{\hskip\hmargin plus1fil
  \hskip\barwidth plus1fil
  \hskip\hmargin plus1fil}

% Solid line folding guide:

%\def\vdecor{\hskip\hmargin plus1fil%
%  \vrule width \barwidth%
%  \hskip\hmargin plus1fil}

% For small marks near top and bottom as folding guide:

%\def\vdecor{\hskip\hmargin plus1fil%
%  \vbox to \vsize{\hbox to \barwidth{\vrule height\barheight width\barwidth}%
%  \vfill
%  \hbox to \barwidth{\vrule height\barheight width\barwidth}}%
%  \hskip\hmargin plus1fil}

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%                                                                      %
% END CONFIGURATION                                                    %
%                                                                      %
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% values to be computed based on above definitions.
% nothing to configure

\newdimen\fullhsize          % width of area without margins
\newdimen\itmwid             % width of item column
\newdimen\dfnwid             % width of definition column
\newdimen\idnwid             % width of indented text
\newdimen\temp               % only for temporary use

% an alternate section format, used in some cases to make text fit better.

\newdimen\altitmwid        % width of item column in altsec
\newdimen\altdfnwid        % width of definition column in altsec

% Subtract hmargin for left and right sides of paper from full width.
%
%   fullhsize = totalwidth - (2 * hmargin)

\fullhsize=\totalwidth
\temp=\hmargin
\multiply \temp by 2
\advance \fullhsize by -\temp

% intercolumn space is composed of hmargin barwidth hmargin so that we
% get the same amount of space on either side of the (optional) rule
% between columns.  For N columns, we need to subtract this amount of
% space N-1 times.  Divide by the number of columns to get the final
% value of \hsize that we use to typeset columns.

% hsize = (fullhsize - (ncols-1)*barwidth - 2*(ncols-1)*hmargin) / ncols

\newcount\tmpcnt
\tmpcnt\columnsperpage
\advance \tmpcnt by -1

\hsize=\fullhsize

\temp=\barwidth
\multiply \temp by \tmpcnt
\advance \hsize by -\temp

\multiply \tmpcnt by 2

\temp=\hmargin
\multiply \temp by \tmpcnt
\advance \hsize by -\temp

\divide \hsize by \columnsperpage

% Vertical size is easy -- same amount of space above and below.
%
%   vsize = totalheight - (2 * vmargin)

\vsize=\totalheight
\temp=\vmargin
\multiply \temp by 2
\advance \vsize by -\temp

% adjust the offsets so the margins are measured *from paper edge*

\hoffset=-1in \advance \hoffset by \hmargin
\voffset=-1in \advance \voffset by \vmargin

% Width of items in a section.

% itmwid = (hsize - intersecwidth) * 1/3
% dfnwid = (hsize - intersecwidth) * 2/3

% width of the item

\temp=\hsize
\advance \temp by -\intersecwidth
\divide \temp by 3
\itmwid=\temp

% width of the corresponding definition

\dfnwid=\hsize
\advance \dfnwid by -\itmwid

% indentation for sub items, etc.

\temp=\hsize \advance\temp by -1em
\idnwid=\temp

% Width of items in an alt section.

\altitmwid=\itmwid \advance \altitmwid by 0.35in
\altdfnwid=\dfnwid \advance \altdfnwid by -0.35in

% Output macros.
%
% Strategy:
%
%   * set each column in a box
%   * append new columns in a global `holding' box, inserting
%     intercolumn decorations as necessary.
%   * when we fill a page, dump the saved box and the latest column,
%     separated by the intercolumn decoration.

\newbox\holdbox
\newcount\colno
\colno=0

\output={\relax
  \global\advance\colno by 1
  \ifnum\colno=1
    \global\setbox\holdbox=\columnbox
  \else
    \ifnum\colno=\columnsperpage
      \shipout\hbox to \fullhsize{\box\holdbox\vdecor\columnbox}
      \advancepageno
      \global\colno=0
    \else
      \global\setbox\holdbox=\vbox{\hbox{\box\holdbox\vdecor\columnbox}}
    \fi
  \fi}

\def\columnbox{\leftline{\pagebody}}

\def\bye{\par\vfill
  \supereject
  \if R\lcr \null\vfill\eject \fi
  \end}

% -----
% Fonts
% -----

\font\bbf=cmbx10
\font\vbbf=cmbx12
\font\smrm=cmr6
\font\brm=cmr10
\font\rm=cmr7
\font\it=cmti7
\font\tt=cmtt8

% We can afford to allow some slop

\hfuzz=1pt
\vfuzz=1pt
\hyphenpenalty=5000
\tolerance=2000
\raggedright
\raggedbottom
\normalbaselineskip=9pt
\baselineskip=9pt

\parindent=0pt
\parskip=0pt
\footline={\vbox to0pt{\hss}}

\def\ctl#1{{\tt C-#1}}
\def\opt#1{{\brm[{\rm #1}]}}
\def\xtra#1{\noalign{\smallskip{\tt#1}}}

% A normal section

\long\def\sec#1;#2\endsec{\vskip \secskip
  \halign{%
%
% column 1 (of halign):
%
    \vtop{\hsize=\itmwid\tt ##\par\vskip \lskip }\hfil
%
% column 2 (of halign):
%
    &\vtop{%
      \hsize=\dfnwid
      \hangafter=1
      \hangindent=\intersecwidth
      \rm ##\par\vskip \lskip}\cr
%
% Tail of \long\def fills in halign body with \sec args:
%
    \noalign{{\bbf #1}%
      \vskip \lskip}
    #2}}

\long\def\widesec#1;#2\endsec{\vskip \secskip
  \halign{%
%
% column 1 (of halign):
%
    \vbox{\tt
      ##\par\vskip \lskip }\cr
%
% Tail of \long\def fills in halign body with \sec args:
%
      \noalign{{\bbf #1}\vskip 3\lskip}
    #2}}

% an alternate section format, used in some cases to make text fit better.

\long\def\altsec#1;#2\endsec{\vskip \secskip
  \halign{%
%
% column 1 (of halign):
%
    \vtop{\hsize=\altitmwid\tt
      ##\par\vskip \lskip}\hfil
%
% column 2 (of halign):
%
    &\vtop{%
      \hsize=\altdfnwid
      \hangafter=1
      \hangindent=\intersecwidth
      \rm ##\par\vskip \lskip}\cr
%
% Tail of \long\def fills in halign body with \sec args:
%
    \noalign{{\bbf #1}\vskip \lskip}
    #2}}

% -------------------------------------
% The actual text of the reference card
% -------------------------------------

{\vbbf Octave Quick Reference}\hfil{\smrm Octave \octaveversion}\qquad
{\smrm Copyright 1996-2024 The Octave Project Developers}

\altsec Starting and Stopping;
octave \opt{-\hbox{}-gui}&start Octave CLI/GUI session\cr
octave {\it file}&run Octave commands in {\it file}\cr
octave --eval {\it code}&evaluate {\it code} using Octave\cr
octave --help&describe command line options\cr
quit {\rm or} exit&exit Octave\cr
Ctrl-C&terminate current command and return to top-level prompt\cr
\endsec

\sec Getting Help;
help {\it command}&briefly describe {\it command}\cr
doc&use Info to browse Octave manual\cr
doc {\it command}&search for {\it command} in Octave manual\cr
lookfor {\it str}&search for {\it command} based on {\it str}\cr
\endsec

\sec Command Completion and History;
TAB&complete a command or variable name\cr
Alt-?&list possible completions\cr
Ctrl-r Ctrl-s&search command history\cr
\endsec

\sec Directory and Path Commands;
cd {\it dir}&change working directory to {\it dir}\cr
pwd&print working directory\cr
ls \opt{{\it options}}&print directory listing\cr
what&list .m/.mat files in the current directory\cr
path&search path for Octave functions\cr
pathdef&default search path\cr
addpath ({\it dir})&add a directory to the path\cr
getenv ({\it var})&value of environment variable\cr
\endsec

\altsec Package Management;
\omit\vbox{\rm\vskip0.25ex
  Add-on packages are independent of core Octave, listed at
  {https://packages.octave.org/} \vskip0.75ex}\span\cr
pkg install -forge {\it pkg}&download and install {\it pkg}\cr
pkg install {\it file.tar.gz}&install pre-downloaded package file\cr
pkg list&show installed packages\cr
pkg load / pkg unload&load/unload installed package\cr
statistics optimization control signal image symbolic etc.&various common
packages\cr
\endsec

\sec Matrices;
\omit\vbox{\rm\vskip0.25ex
  Square brackets delimit literal matrices.  Commas separate elements
  on the same row.  Semicolons separate rows.  Commas may be replaced
  by spaces, and semicolons may be replaced by newlines.
  Elements of a matrix may be arbitrary expressions, assuming
  all the dimensions agree.\vskip0.75ex}\span\cr
[ {\it x}, {\it y}, ... ]&enter a row vector\cr
[ {\it x}; {\it y}; ... ]&enter a column vector\cr
[ {\it w}, {\it x}; {\it y}, {\it z} ]&enter a 2$\times$2 matrix\cr
rows columns&number of rows/columns of matrix\cr
zeros ones&create matrix of zeros/ones\cr
eye diag&create identity/diagonal matrix\cr
rand randi randn&create matrix of random values\cr
sparse spalloc&create a sparse matrix\cr
all&true if all elements nonzero\cr
any&true if at least one element nonzero\cr
nnz&number of nonzero elements\cr
\endsec

\sec Multi-dimensional Arrays;
ndims&number of dimensions\cr
reshape squeeze&change array shape\cr
resize&change array shape, lossy\cr
cat&join arrays along a given dimension\cr
permute ipermute shiftdim&like N-dimensional transpose\cr
circshift&cyclically shift array elements\cr
meshgrid&matrices useful for vectorization\cr
\endsec

\sec Ranges;
\omit\vbox{\rm\vskip0.25ex
  Create sequences of real numbers as row vectors.\vskip0.75ex}\span\cr
{\it base} : {\it limit}\cr
{\it base} : {\it incr} : {\it limit}\cr
\omit\hfill\vbox{\hsize=\idnwid\rm\vskip0.75ex
  {\it incr} == 1 if not specified.  Negative ranges allowed.}\span\cr
\endsec

\altsec Numeric Types and Values;
\omit\vbox{\rm\vskip0.5ex
  Integers saturate in Octave.  They do not roll over.
  \vskip0.75ex}\span\cr
int8 int16 int32 int64&signed integers\cr
uint8 uint16 uint32 uint64&unsigned integers\cr
single double&32-bit/64-bit IEEE floating point\cr
intmin intmax flintmax&integer limits of given type\cr
realmin realmax&floating point limits of given type\cr
inf nan NA&IEEE infinity, NaN, missing value\cr
eps&machine precision\cr
pi e&3.14159..., 2.71828...\cr
i j&$\sqrt{-1}$\cr
\endsec

\sec Strings;
\omit\vbox{\rm\vskip0.5ex
  A {\it string constant\/} consists of a sequence of characters
  enclosed in either double-quote or single-quote marks.  Strings
  in double-quotes allow the use of the escape sequences below.
  \vskip0.75ex}\span\cr
\char'134\char'134&a literal backslash\cr
\char'134 "&a literal double-quote character\cr
\char'134 '&a literal single-quote character\cr
\char'134 n&newline, ASCII code 10\cr
\char'134 t&horizontal tab, ASCII code 9\cr
sprintf sscanf&formatted IO to/from string\cr
strcmp&compare strings\cr
strcat&join strings\cr
strfind regexp&find matching patterns\cr
strrep regexprep&find and replace patterns\cr
\endsec

\sec Index Expressions;
{\it var}({\it idx})&select elements of a vector\cr
{\it var}({\it idx1}, {\it idx2})&select elements of a matrix\cr
{\it var}({[1 3], :})&rows 1 and 3\cr
{\it var}({:, [2 end]})&the second and last columns\cr
{\it var}({1:2:end, 2:2:end})&get odd rows and even columns\cr
{\it var1}({\it var2} == 0)&elements of {\it var1} corresponding to zero
elements of {\it var2}\cr
{\it var}({:})&all elements as a column vector\cr
\endsec

\sec Cells, Structures, and Classdefs;
{\it{var}}$\{${\it{idx}}$\}$ = ...&set an element of a cell array\cr
cellfun ({\it f}, {\it c})&apply a function to elements of cell array\cr
{\it{var}}.{\it{field}} = ...&set a field of a structure\cr
fieldnames ({\it s})&returns the fields of a structure\cr
structfun ({\it f}, {\it s})&apply a function to fields of structure\cr
classdef&define new classes for OOP\cr
\endsec

\sec Assignment Expressions;
{\it var} = {\it expr}&assign value to variable\cr
{\it var}({\it idx}) = {\it expr}&only the indexed elements are changed\cr
{\it var}({\it idx}) = []&delete the indexed elements\cr
\endsec

\sec Arithmetic Operators;
%
% FIXME These operators look ugly, but putting them in math mode causes
% some of them to break even more.
%
\omit \vbox{\rm\vskip0.75ex
  If two operands are of different sizes, scalars and singleton dimensions are
  automatically expanded.  Non-singleton dimensions need to match.
  \vskip0.75ex}\span\cr
{\it x} + {\it y}, {\it x} - {\it y}&addition, subtraction\cr
{\it x} * {\it y}&matrix multiplication\cr
{\it x} .* {\it y}&element-by-element multiplication\cr
{\it x} / {\it y}&right division, conceptually equivalent to
  {\tt (inverse~(y')~*~x')'}\cr
{\it x} ./ {\it y}&element-by-element right division\cr
{\it x} \char'134{} {\it y}&left division, conceptually equivalent to
  {\tt inverse~(x)~*~y}\cr
{\it x} .\char'134{} {\it y}&element-by-element left division\cr
{\it x} \char'136{} {\it y}&power operator\cr
{\it x} .\char'136{} {\it y}&element-by-element power operator\cr
+= -= *= .*= /= ./= \char'134{}= .\char'134{}= \char'136{}= .\char'136{}=&
in-place equivalents of the above operators\cr
-{\it x}&negation\cr
+{\it x}&unary plus (a no-op)\cr
{\it x}$'$&complex conjugate transpose\cr
{\it x}.$'$&transpose\cr
++{\it x} --{\it x}&increment / decrement, return {\it new\/} value\cr
{\it x}++ {\it x}--&increment / decrement, return {\it old\/} value\cr
\endsec

\sec Comparison and Boolean Operators;
\omit \vbox{\rm\vskip0.75ex
  These operators work on an element-by-element basis.  Both arguments
  are always evaluated.\vskip0.75ex}\span\cr
< <= == >= >&relational operators\cr
!= \char'176 =&not equal to\cr
\& &logical AND\cr
|  &logical OR\cr
! \char'176 &logical NOT\cr
\endsec

\sec Short-circuit Boolean Operators;
\omit \vbox{\rm\vskip0.75ex
  Operators evaluate left-to-right.  Operands are only evaluated if
  necessary, stopping once overall truth value can be determined.
  Non-scalar operands are converted to scalars with
  {\tt all}.\vskip0.75ex}\span\cr
{\it x} \&\& {\it y}&logical AND\cr
{\it x} || {\it y}&logical OR\cr
\endsec

\vfill\eject

\sec Operator Precedence;
\omit \vbox{\rm\vskip0.5ex
  Table of Octave operators, in order of {\tt decreasing}
  precedence.\vskip0.75ex}\span\cr
() $\{\}$ . & array index, cell index, structure index\cr
'\ \ .'\ \ \char'136\ \ .\char'136&transpose and exponentiation\cr
+\ \ -\ \ ++\ \ --\ \ !&unary minus, increment, logical ``not''\cr
* / \char'134\ \ .*\ \ ./\ \ .\char'134&multiplication and division\cr
+\ \ -&addition and subtraction\cr
:&colon\cr
< <= == >= > !=&relational operators\cr
\&\ \ |&element-wise ``and'' and ``or''\cr
\&\&\ \ ||&logical ``and'' and ``or''\cr
= += -= *= /=  etc.&assignment, groups left to right\cr
;\ \ ,&statement separators\cr
\endsec

\altsec General programming;
\omit \vbox{\rm\vskip0.5ex
  endfor, endwhile, endif etc. can all be replaced by end.
  \vskip0.75ex}\span\cr
for x = 1:10

endfor & for loop\cr
\cr

while (x <= 10)

endwhile & while loop\cr
\cr

do

until (x > 10) & do-until loop\cr
\cr

if (x < 5)

elseif (x < 6)

else

endif & if-then-else\cr
\cr

switch (tf)

case "true"

case "false"

otherwise

endswitch & switch-case\cr
\cr

break & exit innermost loop\cr
\cr

continue & go to start of innermost loop\cr
\cr

return & jump back from function to caller\cr
\cr

try

catch & cleanup only on exception\cr
\cr

unwind\char'137 protect

unwind\char'137 protect\char'137 cleanup& cleanup always \cr
\endsec

\widesec Functions;
function \opt{{\it ret-list} =} {\it function-name}
  \opt{\hskip0.2em({\it arg-list})\hskip0.2em}\cr
\quad{\it function-body}\cr
endfunction\cr\cr
{\rm {\it ret-list\/} may be a single identifier or a comma-separated
  list of identifiers enclosed by square brackets.\vskip0.75ex}\cr
{\rm {\it arg-list\/} is a comma-separated list of identifiers and may
  be empty.}\cr
\endsec

\sec Function Handles and Evaluation;
@{\it{func}}&create a function handle to {\it func}\cr
@({\it vars}) {\it expr}&define an anonymous function\cr
str2func func2str&convert function to/from string\cr
functions ({\it handle})&Return information about a function handle\cr
{\it f} ({\it args})&Evaluate a function handle {\it f}\cr
feval &Evaluate a function handle or string\cr
eval ({\it str})&evaluate {\it str} as a command\cr
system ({\it cmd})&execute arbitrary shell command string\cr
&\cr
\omit\vbox{\rm\vskip0.25ex
  Anonymous function handles make a copy of the variables in the
  current workspace at the time of creation.\vskip0.75ex}\span\cr
\endsec

\altsec Global and Persistent Variables;
global {\it var} = ...&declare \& initialize global variable\cr
persistent {\it var} = ...&persistent/static variable\cr
\omit\hfill\vbox{\rm\vskip0.25ex
  Global variables may be accessed inside the body of a function
  without having to be passed in the function parameter list provided
  that they are declared global when used.}\span\cr
\endsec

\sec Common Functions;
disp&display value of variable\cr
printf&formatted output to {\tt stdout}\cr
input scanf&input from {\tt stdin}\cr
who whos&list current variables\cr
clear {\it pattern}&clear variables matching pattern\cr
exist&check existence of identifier\cr
find&return indices of nonzero elements\cr
sort&return a sorted array\cr
unique&discard duplicate elements\cr
sortrows&sort whole rows in numerical or lexicographic order\cr
sum prod&sum or product\cr
mod rem&remainder functions\cr
min max range mean median std&basic statistics\cr
\endsec

\sec Error Handling, Debugging, Profiling;
error ({\it message})&print message and return to top level\cr
warning ({\it message})&print a warning message\cr
debug&guide to all debugging commands\cr
profile&start/stop/clear/resume profiling\cr
profshow profexplore&show the results of profiling\cr
\endsec

\sec File I/O, Loading, Saving;
save load &save/load variables to/from file\cr
save -binary &save in binary format (faster)\cr
dlmread dlmwrite&read/write delimited data\cr
csvread csvwrite&read/write CSV files\cr
xlsread xlswrite&read/write XLS spreadsheets\cr
&\cr
fopen fclose & open/close files\cr
fprintf fscanf textscan&formatted file I/O\cr
fflush&flush pending output\cr
\endsec

\sec Math Functions;
\omit \vbox{\rm\vskip0.5ex
  Run {\tt doc <function>} to find related functions.
  \vskip0.75ex}\span\cr
cov corrcoef&covariance, correlation coefficient\cr
tan tanh atan2&trig and hyperbolic functions\cr
cross curl del2&vector algebra functions\cr
&\cr
det inv& determinant matrix inverse\cr
eig &eigenvalues and eigenvectors\cr
norm &vector norm, matrix norm\cr
rank &matrix rank\cr
qr &QR factorization\cr
chol &Cholesky factorization\cr
svd &singular value decomposition\cr
&\cr
fsolve&solve nonlinear algebraic equations\cr
lsode ode45&integrate nonlinear ODEs\cr
dassl&integrate nonlinear DAEs\cr
integral&integrate nonlinear functions\cr
&\cr
union&set union\cr
intersection&set intersection\cr
setdiff&set difference\cr
&\cr
roots &polynomial roots\cr
poly &matrix characteristic polynomial\cr
polyder polyint&polynomial derivative or integral\cr
polyfit polyval&polynomial fitting and evaluation\cr
residue &partial fraction expansion\cr
legendre bessel&special functions\cr
&\cr
conv conv2& convolution, polynomial multiplication\cr
deconv& deconvolution, polynomial division\cr
&\cr
fft fft2 ifft({\it a})&FFT / inverse FFT\cr
freqz &FIR filter frequency response\cr
filter &filter by transfer function\cr
\endsec

\altsec Plotting and Graphics;
plot plot3 &2D / 3D plot with linear axes\cr
line &2D or 3D line\cr
patch fill&2D patch, optionally colored\cr
semilogx semilogy loglog&logarithmic axes\cr
bar hist&bar chart, histogram\cr
stairs stem&stairsteps and stem graphs\cr
contour &contour plot\cr
mesh trimesh surf &plot 3D surfaces\cr
&\cr
figure&new figure\cr
hold on&add to existing figure\cr
title &set plot title\cr
axis &set axis range and aspect\cr
xlabel ylabel zlabel &set axis labels\cr
text &add text to a plot\cr
grid legend &draw grid or legend\cr
&\cr
image imagesc spy&display matrix as image\cr
imwrite saveas print&save figure or image\cr
imread&load an image\cr
colormap &get or set colormap\cr
\endsec

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Quick reference for Octave \octaveversion.
Copyright 1996-2024 The Octave Project Developers.  The authors assume
no responsibility for any errors on this card.  This card may be freely
distributed under the terms of the GNU General Public License.

Octave license and copyright: https://octave.org/copyright/

\TeX{} Macros for this card by Roland Pesch (pesch@cygnus.com),
originally for the GDB reference card
}

\end

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