X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?p=CreaPhase.git;a=blobdiff_plain;f=octave_packages%2Fm%2Fplot%2Ffplot.m;fp=octave_packages%2Fm%2Fplot%2Ffplot.m;h=2a2656c67a221d7e23516224ef010a7b6b437771;hp=0000000000000000000000000000000000000000;hb=1c0469ada9531828709108a4882a751d2816994a;hpb=63de9f36673d49121015e3695f2c336ea92bc278 diff --git a/octave_packages/m/plot/fplot.m b/octave_packages/m/plot/fplot.m new file mode 100644 index 0000000..2a2656c --- /dev/null +++ b/octave_packages/m/plot/fplot.m @@ -0,0 +1,136 @@ +## Copyright (C) 2005-2012 Paul Kienzle +## +## 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 +## . + +## -*- texinfo -*- +## @deftypefn {Function File} {} fplot (@var{fn}, @var{limits}) +## @deftypefnx {Function File} {} fplot (@var{fn}, @var{limits}, @var{tol}) +## @deftypefnx {Function File} {} fplot (@var{fn}, @var{limits}, @var{n}) +## @deftypefnx {Function File} {} fplot (@dots{}, @var{fmt}) +## Plot a function @var{fn} within defined limits. +## @var{fn} is a function handle, inline function, or string +## containing the name of the function to evaluate. +## The limits of the plot are given by @var{limits} of the form +## @code{[@var{xlo}, @var{xhi}]} or @code{[@var{xlo}, @var{xhi}, +## @var{ylo}, @var{yhi}]}. @var{tol} is the default tolerance to use for the +## plot, and if @var{tol} is an integer it is assumed that it defines the +## number points to use in the plot. The @var{fmt} argument is passed +## to the plot command. +## +## @example +## @group +## fplot ("cos", [0, 2*pi]) +## fplot ("[cos(x), sin(x)]", [0, 2*pi]) +## @end group +## @end example +## @seealso{plot} +## @end deftypefn + +## Author: Paul Kienzle + +function fplot (fn, limits, n, fmt) + if (nargin < 2 || nargin > 4) + print_usage (); + endif + + if (!isreal (limits) || (numel (limits) != 2 && numel (limits) != 4)) + error ("fplot: second input argument must be a real vector with 2 or 4 elements"); + endif + + if (nargin < 3) + n = 0.002; + endif + + have_linespec = true; + if (nargin < 4) + have_linespec = false; + endif + + if (ischar (n)) + have_linespec = true; + fmt = n; + n = 0.002; + endif + + if (strcmp (typeinfo (fn), "inline function")) + fn = vectorize (fn); + nam = formula (fn); + elseif (isa (fn, "function_handle")) + nam = func2str (fn); + elseif (all (isalnum (fn))) + nam = fn; + elseif (ischar (fn)) + fn = vectorize (inline (fn)); + nam = formula (fn); + else + error ("fplot: first input argument must be a function handle, inline function or string"); + endif + + if (floor(n) != n) + tol = n; + x0 = linspace (limits(1), limits(2), 5)'; + y0 = feval (fn, x0); + err0 = Inf; + n = 8; + x = linspace (limits(1), limits(2), n)'; + y = feval (fn, x); + + while (n < 2 .^ 20) + y00 = interp1 (x0, y0, x, "linear"); + err = 0.5 * max (abs ((y00 - y) ./ (y00 + y))(:)); + if (err == err0 || 0.5 * max (abs ((y00 - y) ./ (y00 + y))(:)) < tol) + break; + endif + x0 = x; + y0 = y; + err0 = err; + n = 2 * (n - 1) + 1; + x = linspace (limits(1), limits(2), n)'; + y = feval (fn, x); + endwhile + else + x = linspace (limits(1), limits(2), n)'; + y = feval (fn, x); + endif + + if (have_linespec) + plot (x, y, fmt); + else + plot (x, y); + endif + + if (length (limits) > 2) + axis (limits); + endif + + if (isvector (y)) + legend (nam); + else + for i = 1:columns (y) + nams{i} = sprintf ("%s(:,%i)", nam, i); + endfor + legend (nams{:}); + endif +endfunction + +%!demo +%! clf +%! fplot ("cos", [0, 2*pi]) + +%!demo +%! clf +%! fplot ("[cos(x), sin(x)]", [0, 2*pi])