X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?a=blobdiff_plain;ds=sidebyside;f=octave_packages%2Fm%2Fplot%2Fpeaks.m;fp=octave_packages%2Fm%2Fplot%2Fpeaks.m;h=70e15cfc784d3b15e5efff9ffae829b608868524;hb=1c0469ada9531828709108a4882a751d2816994a;hp=0000000000000000000000000000000000000000;hpb=63de9f36673d49121015e3695f2c336ea92bc278;p=CreaPhase.git diff --git a/octave_packages/m/plot/peaks.m b/octave_packages/m/plot/peaks.m new file mode 100644 index 0000000..70e15cf --- /dev/null +++ b/octave_packages/m/plot/peaks.m @@ -0,0 +1,86 @@ +## Copyright (C) 2007-2012 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} {} peaks () +## @deftypefnx {Function File} {} peaks (@var{n}) +## @deftypefnx {Function File} {} peaks (@var{x}, @var{y}) +## @deftypefnx {Function File} {@var{z} =} peaks (@dots{}) +## @deftypefnx {Function File} {[@var{x}, @var{y}, @var{z}] =} peaks (@dots{}) +## Generate a function with lots of local maxima and minima. The function +## has the form +## +## @tex +## $f(x,y) = 3 (1 - x) ^ 2 e ^ {\left(-x^2 - (y+1)^2\right)} - 10 \left({x \over 5} - x^3 - y^5)\right) - {1 \over 3} e^{\left(-(x+1)^2 - y^2\right)}$ +## @end tex +## @ifnottex +## @verbatim +## f(x,y) = 3*(1-x)^2*exp(-x^2 - (y+1)^2) ... +## - 10*(x/5 - x^3 - y^5)*exp(-x^2-y^2) ... +## - 1/3*exp(-(x+1)^2 - y^2) +## @end verbatim +## @end ifnottex +## +## Called without a return argument, @code{peaks} plots the surface of the +## above function using @code{mesh}. If @var{n} is a scalar, the @code{peaks} +## returns the values of the above function on a @var{n}-by-@var{n} mesh over +## the range @code{[-3,3]}. The default value for @var{n} is 49. +## +## If @var{n} is a vector, then it represents the @var{x} and @var{y} values +## of the grid on which to calculate the above function. The @var{x} and +## @var{y} values can be specified separately. +## @seealso{surf, mesh, meshgrid} +## @end deftypefn + +## Expression for the peaks function was taken from the following paper: +## http://www.control.hut.fi/Kurssit/AS-74.115/Material/GENALGgoga.pdf + +function [X_out, Y_out, Z_out] = peaks (x, y) + + if (nargin == 0) + x = y = linspace (-3, 3, 49); + elseif (nargin == 1) + if length(x) > 1 + y = x; + else + x = y = linspace (-3, 3, x); + endif + endif + + if (isvector (x) && isvector (y)) + [X, Y] = meshgrid (x, y); + else + X = x; + Y = y; + endif + + Z = 3 * (1 - X) .^ 2 .* exp(- X .^ 2 - (Y + 1) .^ 2) \ + - 10 * (X / 5 - X .^ 3 - Y .^ 5) .* exp(- X .^ 2 - Y .^ 2) \ + - 1 / 3 * exp(- (X + 1) .^ 2 - Y .^ 2); + + if (nargout == 0) + surf (x, y, Z); + elseif (nargout == 1) + X_out = Z; + else + X_out = X; + Y_out = Y; + Z_out = Z; + endif + +endfunction