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annotate scripts/plot/fplot.m @ 16651:4e50bd2946d8 ss-3-7-4

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snapshot 3.7.4 * configure.ac (OCTAVE_VERSION): Bump to 3.7.4.
author John W. Eaton <jwe@octave.org>
date Mon, 13 May 2013 08:07:15 -0400
parents 8aeb5d5c3747
children 5ec3f4aea91c
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1 ## Copyright (C) 2005-2012 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} {} fplot (@var{fn}, @var{limits})
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21 ## @deftypefnx {Function File} {} fplot (@var{fn}, @var{limits}, @var{tol})
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22 ## @deftypefnx {Function File} {} fplot (@var{fn}, @var{limits}, @var{n})
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23 ## @deftypefnx {Function File} {} fplot (@dots{}, @var{fmt})
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24 ## Plot a function @var{fn} within defined limits.
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25 ## @var{fn} is a function handle, inline function, or string
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26 ## containing the name of the function to evaluate.
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27 ## The limits of the plot are given by @var{limits} of the form
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28 ## @code{[@var{xlo}, @var{xhi}]} or @code{[@var{xlo}, @var{xhi},
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29 ## @var{ylo}, @var{yhi}]}. @var{tol} is the default tolerance to use for the
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30 ## plot, and if @var{tol} is an integer it is assumed that it defines the
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31 ## number points to use in the plot. The @var{fmt} argument is passed
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32 ## to the plot command.
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33 ##
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34 ## @example
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35 ## @group
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36 ## fplot ("cos", [0, 2*pi])
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37 ## fplot ("[cos(x), sin(x)]", [0, 2*pi])
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38 ## @end group
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39 ## @end example
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40 ## @seealso{plot}
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41 ## @end deftypefn
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42
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43 ## Author: Paul Kienzle <pkienzle@users.sf.net>
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44
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45 function fplot (fn, limits, n = 0.002, fmt = "")
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46
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47 if (nargin < 2 || nargin > 4)
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48 print_usage ();
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49 endif
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50
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51 if (iscomplex (limits) || (numel (limits) != 2 && numel (limits) != 4))
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52 error ("fplot: LIMITS must be a real vector with 2 or 4 elements");
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53 endif
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54
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55 if (ischar (n))
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56 fmt = n;
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57 n = 0.002;
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58 endif
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59
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60 if (strcmp (typeinfo (fn), "inline function"))
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61 fn = vectorize (fn);
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62 nam = formula (fn);
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63 elseif (isa (fn, "function_handle"))
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64 nam = func2str (fn);
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65 elseif (all (isalnum (fn)))
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66 nam = fn;
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67 elseif (ischar (fn))
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68 fn = vectorize (inline (fn));
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69 nam = formula (fn);
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70 else
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71 error ("fplot: FN must be a function handle, inline function, or string");
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72 endif
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73
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74 if (n != fix (n))
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75 tol = n;
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76 x0 = linspace (limits(1), limits(2), 5)';
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77 y0 = feval (fn, x0);
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78 err0 = Inf;
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79 n = 8;
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80 x = linspace (limits(1), limits(2), n)';
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81 y = feval (fn, x);
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82
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83 while (n < 2 .^ 20)
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84 y00 = interp1 (x0, y0, x, "linear");
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85 err = 0.5 * max (abs ((y00 - y) ./ (y00 + y))(:));
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86 if (err == err0 || err < tol)
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87 break;
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88 endif
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89 x0 = x;
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90 y0 = y;
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91 err0 = err;
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92 n = 2 * (n - 1) + 1;
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93 x = linspace (limits(1), limits(2), n)';
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94 y = feval (fn, x);
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95 endwhile
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96 else
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97 x = linspace (limits(1), limits(2), n)';
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98 y = feval (fn, x);
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99 endif
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100
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101 plot (x, y, fmt);
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102
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103 if (length (limits) > 2)
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104 axis (limits);
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105 endif
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106
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107 if (isvector (y))
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108 legend (nam);
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109 else
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110 for i = 1:columns (y)
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111 nams{i} = sprintf ("%s(:,%i)", nam, i);
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112 endfor
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113 legend (nams{:});
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114 endif
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115
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116 endfunction
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118
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119 %!demo
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120 %! clf;
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121 %! fplot ('cos', [0, 2*pi]);
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123 %!demo
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124 %! clf;
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125 %! fplot ('[cos(x), sin(x)]', [0, 2*pi]);
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126