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annotate scripts/plot/draw/sombrero.m @ 17610:3f8b3588a9f0

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fill.m: Properly color faces based on orientation of cdata vector. * scripts/plot/draw/fill.m: Test for row vector and set "facecolor" to "flat" if found.
author Rik <rik@octave.org>
date Tue, 08 Oct 2013 15:50:38 -0700
parents 7bb76a22cde1
children d63878346099
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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72c96de7a403 maint: update copyright notices for 2012
John W. Eaton <jwe@octave.org>
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1 ## Copyright (C) 1993-2012 John W. Eaton
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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} {} sombrero ()
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21 ## @deftypefnx {Function File} {} sombrero (@var{n})
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22 ## @deftypefnx {Function File} {@var{z} =} sombrero (@dots{})
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23 ## @deftypefnx {Function File} {[@var{x}, @var{y}, @var{z}] =} sombrero (@dots{})
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24 ## Plot the familiar 3-D sombrero function.
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25 ##
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26 ## The function plotted is
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27 ## @tex
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28 ## $$z = { \rm{sin} (\sqrt {(x^2 + y^2)}) \over \sqrt {(x^2 + y^2)} }$$
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29 ## @end tex
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30 ## @ifnottex
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31 ##
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32 ## @example
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33 ## z = sin (sqrt (x^2 + y^2)) / (sqrt (x^2 + y^2))
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34 ## @end example
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35 ##
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36 ## @end ifnottex
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37 ## Called without a return argument, @code{sombrero} plots the surface of the
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38 ## above function over the meshgrid [-8,8] using @code{surf}.
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39 ##
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40 ## If @var{n} is a scalar the plot is made with @var{n} grid lines.
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41 ## The default value for @var{n} is 41.
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42 ##
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43 ## When called with output arguments, return the data for the function
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44 ## evaluated over the meshgrid. This can subsequently be plotted with
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45 ## @code{surf (@var{x}, @var{y}, @var{z})}.
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46 ##
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47 ## @seealso{peaks, meshgrid, mesh, surf}
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48 ## @end deftypefn
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50 ## Author: jwe
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51
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52 function [x, y, z] = sombrero (n = 41)
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53
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54 if (nargin > 2)
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55 print_usage ();
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56 elseif (n <= 1)
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57 error ("sombrero: number of grid lines N must be greater than 1");
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58 endif
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59
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60 [xx, yy] = meshgrid (linspace (-8, 8, n));
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61 r = sqrt (xx.^2 + yy.^2) + eps; # eps prevents div/0 errors
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62 zz = sin (r) ./ r;
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64 if (nargout == 0)
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65 surf (xx, yy, zz);
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66 elseif (nargout == 1)
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67 x = zz;
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68 else
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69 x = xx;
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70 y = yy;
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71 z = zz;
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72 endif
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73
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74 endfunction
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75
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76
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77 %!demo
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78 %! clf;
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79 %! colormap ('default');
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80 %! sombrero ();
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81 %! title ('sombrero() function');
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82
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83 ## Test input validation
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84 %!error sombrero (1,2,3)
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85 %!error <N must be greater than 1> sombrero (1)
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86