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annotate scripts/plot/peaks.m @ 17535:c12c688a35ed default tip lyh

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Fix warnings
author LYH <lyh.kernel@gmail.com>
date Fri, 27 Sep 2013 17:43:27 +0800
parents 1c89599167a6
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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72c96de7a403 maint: update copyright notices for 2012
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1 ## Copyright (C) 2007-2012 Paul Kienzle
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 3 of the License, or (at
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8 ## your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {} peaks ()
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21 ## @deftypefnx {Function File} {} peaks (@var{n})
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22 ## @deftypefnx {Function File} {} peaks (@var{x}, @var{y})
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23 ## @deftypefnx {Function File} {@var{z} =} peaks (@dots{})
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24 ## @deftypefnx {Function File} {[@var{x}, @var{y}, @var{z}] =} peaks (@dots{})
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25 ## Plot a function with lots of local maxima and minima.
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26 ##
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27 ## The function has the form
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28 ##
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29 ## @tex
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30 ## $$f(x,y) = 3 (1 - x) ^ 2 e ^ {\left(-x^2 - (y+1)^2\right)} - 10 \left({x \over 5} - x^3 - y^5)\right) - {1 \over 3} e^{\left(-(x+1)^2 - y^2\right)}$$
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31 ## @end tex
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32 ## @ifnottex
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33 ## @verbatim
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34 ## f(x,y) = 3*(1-x)^2*exp(-x^2 - (y+1)^2) ...
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35 ## - 10*(x/5 - x^3 - y^5)*exp(-x^2-y^2) ...
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36 ## - 1/3*exp(-(x+1)^2 - y^2)
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37 ## @end verbatim
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38 ## @end ifnottex
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39 ##
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40 ## Called without a return argument, @code{peaks} plots the surface of the
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41 ## above function using @code{surf}.
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42 ##
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43 ## If @var{n} is a scalar, @code{peaks} plots the value of the above
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44 ## function on an @var{n}-by-@var{n} mesh over the range [-3,3]. The
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45 ## default value for @var{n} is 49.
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46 ##
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47 ## If @var{n} is a vector, then it represents the grid values over which
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48 ## to calculate the function. If @var{x} and @var{y} are specified then
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49 ## the function value is calculated over the specified grid of vertices.
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50 ##
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51 ## When called with output arguments, return the data for the function
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52 ## evaluated over the meshgrid. This can subsequently be plotted with
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53 ## @code{surf (@var{x}, @var{y}, @var{z})}.
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54 ##
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55 ## @seealso{sombrero, meshgrid, mesh, surf}
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56 ## @end deftypefn
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57
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58 ## Expression for the peaks function was taken from the following paper:
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59 ## http://www.control.hut.fi/Kurssit/AS-74.115/Material/GENALGgoga.pdf
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60
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61 function [X_out, Y_out, Z_out] = peaks (x, y)
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62
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63 if (nargin == 0)
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64 x = y = linspace (-3, 3, 49);
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65 elseif (nargin == 1)
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66 if (length (x) > 1)
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67 y = x;
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68 else
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69 x = y = linspace (-3, 3, x);
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70 endif
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71 endif
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72
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73 if (isvector (x) && isvector (y))
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74 [X, Y] = meshgrid (x, y);
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75 else
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76 X = x;
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77 Y = y;
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78 endif
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79
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80 Z = 3 * (1 - X) .^ 2 .* exp (- X .^ 2 - (Y + 1) .^ 2) ...
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81 - 10 * (X / 5 - X .^ 3 - Y .^ 5) .* exp (- X .^ 2 - Y .^ 2) ...
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82 - 1 / 3 * exp (- (X + 1) .^ 2 - Y .^ 2);
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83
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84 if (nargout == 0)
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85 surf (x, y, Z);
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86 elseif (nargout == 1)
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87 X_out = Z;
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88 else
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89 X_out = X;
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90 Y_out = Y;
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91 Z_out = Z;
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92 endif
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93
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94 endfunction
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95