annotate scripts/plot/compass.m @ 10549:95c3e38098bf

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author Rik <code@nomad.inbox5.com>
date Fri, 23 Apr 2010 11:28:50 -0700
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children be55736a0783
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1 ## Copyright (C) 2007, 2008, 2009 David Bateman
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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} {} compass (@var{u}, @var{v})
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21 ## @deftypefnx {Function File} {} compass (@var{z})
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22 ## @deftypefnx {Function File} {} compass (@dots{}, @var{style})
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23 ## @deftypefnx {Function File} {} compass (@var{h}, @dots{})
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24 ## @deftypefnx {Function File} {@var{h} =} compass (@dots{})
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25 ##
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26 ## Plot the @code{(@var{u}, @var{v})} components of a vector field emanating
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27 ## from the origin of a polar plot. If a single complex argument @var{z} is
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28 ## given, then @code{@var{u} = real (@var{z})} and @code{@var{v} = imag
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29 ## (@var{z})}.
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30 ##
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31 ## The style to use for the plot can be defined with a line style @var{style}
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32 ## in a similar manner to the line styles used with the @code{plot} command.
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33 ##
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34 ## The optional return value @var{h} provides a list of handles to the
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35 ## the parts of the vector field (body, arrow and marker).
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36 ##
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37 ## @example
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38 ## @group
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39 ## a = toeplitz([1;randn(9,1)],[1,randn(1,9)]);
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40 ## compass (eig (a))
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41 ## @end group
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42 ## @end example
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43 ##
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44 ## @seealso{plot, polar, quiver, feather}
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45 ## @end deftypefn
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46
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47 function retval = compass (varargin)
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48
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49 [h, varargin, nargin] = __plt_get_axis_arg__ ("compass", varargin{:});
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50
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51 arrowsize = 0.25;
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52
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53 if (nargin == 0)
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54 print_usage ();
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55 elseif (nargin == 1 || (nargin == 2 && ! isnumeric (varargin{2})))
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56 ioff = 2;
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57 z = varargin{1}(:).';
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58 u = real (z);
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59 v = imag (z);
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60 elseif (nargin > 1 && isnumeric (varargin{2}))
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61 ioff = 3;
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62 u = varargin{1}(:).';
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63 v = varargin{2}(:).';
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64 endif
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65
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66 line_spec = "b-";
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67 have_line_spec = false;
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68 while (ioff <= nargin)
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69 arg = varargin{ioff++};
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70 if ((ischar (arg) || iscell (arg)) && ! have_line_spec)
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71 [linespec, valid] = __pltopt__ ("compass", arg, false);
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72 if (valid)
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73 line_spec = arg;
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74 have_line_spec = true;
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75 break;
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76 else
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77 error ("compass: invalid linespec");
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78 endif
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79 else
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80 error ("compass: unrecognized argument");
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81 endif
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82 endwhile
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83
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84 ## Matlab draws compass plots, with the arrow head as one continous
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85 ## line, and each arrow separately. This is completely different than
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86 ## quiver and quite ugly.
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87 n = length (u);
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88 xend = u;
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89 xtmp = u .* (1 - arrowsize);
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90 yend = v;
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91 ytmp = v .* (1 - arrowsize);
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92 x = [zeros(1, n); xend; xtmp - v * arrowsize / 3; xend; ...
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93 xtmp + v * arrowsize / 3];
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94 y = [zeros(1, n); yend; ytmp + u * arrowsize / 3; yend; ...
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95 ytmp - u * arrowsize / 3];
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96 [r, p] = cart2pol (x, y);
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97
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98 oldh = gca ();
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99 unwind_protect
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100 axes (h);
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101 newplot ();
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102 hlist = polar (h, r, p, line_spec);
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103 unwind_protect_cleanup
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104 axes (oldh);
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105 end_unwind_protect
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106
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107 if (nargout > 0)
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108 retval = hlist;
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109 endif
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110
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111 endfunction
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112
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113 %!demo
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114 %! a = toeplitz([1;randn(9,1)],[1,randn(1,9)]);
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115 %! compass (eig (a))