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annotate scripts/linear-algebra/bandwidth.m @ 20488:3b25741a9927

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Avoid HAVE_ macro in header file. * main-window.cc (main_window::dock_widget_list): Define here. * main-window.h: Not here.
author John W. Eaton <jwe@octave.org>
date Wed, 24 Jun 2015 11:56:32 -0400
parents 03b9d17a2d95
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
19898
4197fc428c7d maint: Update copyright notices for 2015.
John W. Eaton <jwe@octave.org>
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1 ## Copyright (C) 2014-2015 Massimiliano Fasi
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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} {@var{bw} =} bandwidth (@var{A}, @var{type})
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21 ## @deftypefnx {Function File} {[@var{lower}, @var{upper}] =} bandwidth (@var{A})
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22 ## Compute the bandwidth of @var{A}.
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23 ##
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24 ## The @var{type} argument is the string @qcode{"lower"} for the lower
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25 ## bandwidth and @qcode{"upper"} for the upper bandwidth. If no @var{type} is
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26 ## specified return both the lower and upper bandwidth of @var{A}.
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27 ##
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28 ## The lower/upper bandwidth of a matrix is the number of
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29 ## subdiagonals/superdiagonals with nonzero entries.
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30 ##
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31 ## @seealso{isbanded, isdiag, istril, istriu}
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32 ## @end deftypefn
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33
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34 ## Author: Massimiliano Fasi
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35
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36 function [lower, upper] = bandwidth (A, type)
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37
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38 if (! ((nargin == 1 && nargout == 2) || (nargin == 2 && nargout <= 1)))
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39 print_usage ();
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40 endif
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41
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42 if (! isnumeric (A) && ! islogical (A) || ndims (A) != 2)
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43 error ("bandwidth: A must be a 2-D numeric or logical matrix");
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44 elseif (nargin == 2 && ! (strcmp (type, "lower") || strcmp (type, "upper")))
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45 error ('bandwidth: TYPE must be "lower" or "upper"');
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46 endif
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47
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48 if (nargin == 1)
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49 [i, j] = find (A);
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50 if (isempty (i))
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51 lower = upper = 0;
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52 else
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53 lower = max (i - j);
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54 upper = max (j - i);
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55 endif
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56 else
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57 [i, j] = find (A);
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58 if (isempty (i))
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59 lower = 0;
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60 elseif (strcmp (type, "lower"))
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61 lower = max (i - j);
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62 else
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63 lower = max (j - i);
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64 endif
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65 endif
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66
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67 endfunction
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68
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69
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70 %!test
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71 %! [a,b] = bandwidth (speye (100));
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72 %! assert ([a,b] == [0,0]);
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73 %! assert (bandwidth (speye (100), "upper"), 0);
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74 %! assert (bandwidth (speye (100), "lower"), 0);
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75
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76 %!test
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77 %! A = [2 3 0 0 0; 1 2 3 0 0; 0 1 2 3 0; 0 0 1 2 3; 0 0 0 1 2];
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78 %! [a,b] = bandwidth (A);
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79 %! assert ([a,b] == [1,1]);
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80 %! assert (bandwidth (A, "lower"), 1);
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81 %! assert (bandwidth (A, "upper"), 1);
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82
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83 %!assert (bandwidth ([], "lower"), 0)
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84 %!assert (bandwidth ([], "upper"), 0)
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85 %!assert (bandwidth (zeros (3,3), "lower"), 0)
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86 %!assert (bandwidth (zeros (3,3), "upper"), 0)
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87 %!assert (bandwidth (ones (5,5), "lower"), 4)
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88 %!assert (bandwidth (ones (5,5), "upper"), 4)
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89
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90 %!test
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91 %! [a,b] = bandwidth ([]);
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92 %! assert ([a,b] == [0,0]);
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93 %!test
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94 %! [a,b] = bandwidth (zeros (3,3));
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95 %! assert ([a,b] == [0,0]);
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96 %!test
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97 %! [a,b] = bandwidth (ones (5,5));
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98 %! assert ([a,b] == [4,4]);
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99
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100 ## Test input validation
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101 %!error bandwidth ()
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102 %!error bandwidth (1,2,3)
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103 %!error [a,b,c] = bandwidth (ones (2))
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104 %!error [a,b] = bandwidth (ones (2), "upper")
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105 %!error <A must be a 2-D numeric or logical> bandwidth ("string", "lower")
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106 %!error <A must be a 2-D numeric or logical> bandwidth (ones (3,3,3), "lower")
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107 %!error <TYPE must be "lower" or "upper"> bandwidth (ones (2), "uper")
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108 %!error <TYPE must be "lower" or "upper"> bandwidth (ones (2), "uppper")
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109