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annotate scripts/linear-algebra/bandwidth.m @ 19631:db92e7e28e1f

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strip trailing whitespace from most source files * NEWS, doc/interpreter/contributors.in, doc/interpreter/func.txi, doc/interpreter/genpropdoc.m, doc/interpreter/octave_logo.eps, doc/interpreter/plot.txi, doc/interpreter/stmt.txi, examples/data/Makefile.am, libinterp/corefcn/data.cc, libinterp/corefcn/debug.cc, libinterp/corefcn/error.cc, libinterp/corefcn/file-io.cc, libinterp/corefcn/gl-render.cc, libinterp/corefcn/graphics.cc, libinterp/corefcn/graphics.in.h, libinterp/corefcn/load-path.cc, libinterp/corefcn/pr-output.cc, libinterp/corefcn/pt-jit.cc, libinterp/corefcn/strfind.cc, libinterp/corefcn/toplev.cc, libinterp/corefcn/toplev.h, libinterp/corefcn/urlwrite.cc, libinterp/corefcn/variables.cc, libinterp/octave-value/ov-classdef.cc, libinterp/octave-value/ov-classdef.h, libinterp/octave.cc, libinterp/parse-tree/lex.h, libinterp/parse-tree/oct-parse.in.yy, libinterp/parse-tree/pt-classdef.h, liboctave/system/file-ops.cc, liboctave/system/oct-env.cc, m4/acinclude.m4, scripts/deprecated/finite.m, scripts/deprecated/fmod.m, scripts/deprecated/fnmatch.m, scripts/deprecated/luinc.m, scripts/deprecated/octave_tmp_file_name.m, scripts/deprecated/syl.m, scripts/deprecated/usage.m, scripts/general/inputParser.m, scripts/general/interp1.m, scripts/general/interp2.m, scripts/general/interp3.m, scripts/general/isequal.m, scripts/general/private/__isequal__.m, scripts/geometry/voronoi.m, scripts/image/image.m, scripts/image/imshow.m, scripts/image/ind2rgb.m, scripts/linear-algebra/bandwidth.m, scripts/linear-algebra/isbanded.m, scripts/miscellaneous/bzip2.m, scripts/miscellaneous/cast.m, scripts/miscellaneous/copyfile.m, scripts/miscellaneous/delete.m, scripts/miscellaneous/fullfile.m, scripts/miscellaneous/getappdata.m, scripts/miscellaneous/gunzip.m, scripts/miscellaneous/isappdata.m, scripts/miscellaneous/ls.m, scripts/miscellaneous/mex.m, scripts/miscellaneous/movefile.m, scripts/miscellaneous/orderfields.m, scripts/miscellaneous/recycle.m, scripts/miscellaneous/rmappdata.m, scripts/miscellaneous/setfield.m, scripts/miscellaneous/symvar.m, scripts/miscellaneous/tar.m, scripts/miscellaneous/tmpnam.m, scripts/miscellaneous/unpack.m, scripts/miscellaneous/ver.m, scripts/miscellaneous/what.m, scripts/miscellaneous/xor.m, scripts/miscellaneous/zip.m, scripts/optimization/fminbnd.m, scripts/optimization/sqp.m, scripts/path/private/getsavepath.m, scripts/path/savepath.m, scripts/pkg/pkg.m, scripts/pkg/private/installed_packages.m, scripts/plot/draw/plotyy.m, scripts/plot/draw/polar.m, scripts/plot/draw/private/__quiver__.m, scripts/plot/draw/private/__scatter__.m, scripts/plot/draw/private/__stem__.m, scripts/plot/draw/surface.m, scripts/plot/draw/surfnorm.m, scripts/plot/util/copyobj.m, scripts/plot/util/hgload.m, scripts/plot/util/hgsave.m, scripts/plot/util/isprop.m, scripts/plot/util/linkprop.m, scripts/plot/util/private/__go_draw_axes__.m, scripts/set/setdiff.m, scripts/set/union.m, scripts/signal/periodogram.m, scripts/sparse/eigs.m, scripts/sparse/ilu.m, scripts/sparse/qmr.m, scripts/sparse/sprand.m, scripts/sparse/sprandn.m, scripts/specfun/beta.m, scripts/specfun/ellipke.m, scripts/specfun/isprime.m, scripts/statistics/base/lscov.m, scripts/testfun/__run_test_suite__.m, scripts/testfun/test.m: Strip trailing whitespace.
author John W. Eaton <jwe@octave.org>
date Tue, 20 Jan 2015 10:29:54 -0500
parents 9addb5ad9426
children 4197fc428c7d
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rev   line source
18938
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Massimiliano Fasi <massimiliano.fasi@gmail.com>
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1 ## Copyright (C) 2014 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.
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26 ## If no @var{type} is specified return both the lower and upper bandwidth
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27 ## of @var{A}.
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28 ##
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29 ## The lower/upper bandwidth of a matrix is the number of
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30 ## subdiagonals/superdiagonals with nonzero entries.
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31 ##
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32 ## @seealso{isbanded, isdiag, istril, istriu}
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33 ## @end deftypefn
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34
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35 ## Author: Massimiliano Fasi
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36
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37 function [lower, upper] = bandwidth (A, type)
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38
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39 if (! ((nargin == 1 && nargout == 2) || (nargin == 2 && nargout <= 1)))
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40 print_usage ();
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41 endif
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42
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43 if (! isnumeric (A) && ! islogical (A) || ndims (A) != 2)
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44 error ("bandwidth: A must be a 2-D numeric or logical matrix");
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45 elseif (nargin == 2 && ! (strcmp (type, "lower") || strcmp (type, "upper")))
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46 error ('bandwidth: TYPE must be "lower" or "upper"');
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47 endif
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48
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49 if (nargin == 1)
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50 [i, j] = find (A);
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51 if (isempty (i))
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52 lower = upper = 0;
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53 else
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54 lower = max (i - j);
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55 upper = max (j - i);
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56 endif
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57 else
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58 [i, j] = find (A);
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59 if (isempty (i))
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60 lower = 0;
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61 elseif (strcmp (type, "lower"))
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62 lower = max (i - j);
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63 else
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64 lower = max (j - i);
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65 endif
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66 endif
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67
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68 endfunction
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69
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70
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71 %!test
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72 %! [a,b] = bandwidth (speye (100));
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73 %! assert ([a,b] == [0,0]);
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74 %! assert (bandwidth (speye (100), "upper"), 0);
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75 %! assert (bandwidth (speye (100), "lower"), 0);
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76
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77 %!test
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78 %! 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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79 %! [a,b] = bandwidth (A);
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80 %! assert ([a,b] == [1,1]);
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81 %! assert (bandwidth (A, "lower"), 1);
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82 %! assert (bandwidth (A, "upper"), 1);
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83
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84 %!assert (bandwidth ([], "lower"), 0)
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85 %!assert (bandwidth ([], "upper"), 0)
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86 %!assert (bandwidth (zeros (3,3), "lower"), 0)
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87 %!assert (bandwidth (zeros (3,3), "upper"), 0)
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88 %!assert (bandwidth (ones (5,5), "lower"), 4)
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89 %!assert (bandwidth (ones (5,5), "upper"), 4)
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90
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91 %!test
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92 %! [a,b] = bandwidth ([]);
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93 %! assert ([a,b] == [0,0]);
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94 %!test
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95 %! [a,b] = bandwidth (zeros (3,3));
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96 %! assert ([a,b] == [0,0]);
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97 %!test
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98 %! [a,b] = bandwidth (ones (5,5));
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99 %! assert ([a,b] == [4,4]);
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100
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101 %% Test input validation
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102 %!error bandwidth ()
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103 %!error bandwidth (1,2,3)
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104 %!error [a,b,c] = bandwidth (ones (2))
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105 %!error [a,b] = bandwidth (ones (2), "upper")
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106 %!error <A must be a 2-D numeric or logical> bandwidth ("string", "lower")
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107 %!error <A must be a 2-D numeric or logical> bandwidth (ones (3,3,3), "lower")
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108 %!error <TYPE must be "lower" or "upper"> bandwidth (ones (2), "uper")
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109 %!error <TYPE must be "lower" or "upper"> bandwidth (ones (2), "uppper")
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110