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annotate scripts/linear-algebra/isbanded.m @ 18921:d0d0858cfab1

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doc: Match docstring variable names to function variable names for linear-algebra m-files. * isbanded.m, isdefinite.m, isdiag.m, ishermitian.m, issymmetric.m, istril.m, istriu.m: Use 'A' for input matrix in linear algebra routines. Change docstrings from 'x' to 'A'.
author Rik <rik@octave.org>
date Mon, 14 Jul 2014 08:54:45 -0700
parents 9addb5ad9426
children
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18900
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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} {} isbanded (@var{A}, @var{lower}, @var{upper})
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21 ## Return true if @var{A} is a matrix with entries confined between
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22 ## @var{lower} diagonals below the main diagonal and @var{upper} diagonals
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23 ## above the main diagonal.
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24 ##
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25 ## @var{lower} and @var{upper} must be non-negative integers.
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26 ## @seealso{isdiag, istril, istriu, bandwidth}
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27 ## @end deftypefn
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28
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29 ## Author: Massimiliano Fasi
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30
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31 function retval = isbanded (A, lower, upper)
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32
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33 if (nargin != 3)
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34 print_usage ();
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35 endif
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36
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37 if (! isreal (lower) || ! isreal (upper) || lower < 0 || upper < 0)
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38 error ("isbanded: LOWER and UPPER must be non-negative integers");
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39 endif
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40
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41 if (isempty (A))
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42 retval = [];
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43 else
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44 retval = (isnumeric (A) || islogical (A)) && ndims (A) == 2;
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45 if (retval)
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46 [i, j] = find (A);
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47 pupp = j >= i;
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48 retval = all (j(pupp) - i(pupp) <= upper);
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49 if (retval)
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50 plow = i >= j;
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51 retval = all (i(plow) - j(plow) <= lower);
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52 endif
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53 endif
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54 endif
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55
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56 endfunction
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57
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58
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59 %!assert (! isbanded ("string", 0, 0))
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60 %!assert (! isbanded (zeros (2,2,2), 0, 0))
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61 %!assert (isbanded ([], 0, 0))
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62 %!assert (isbanded (1,0,0))
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63 %!assert (isbanded (1,10,10))
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64
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65 %!assert (isbanded ([1, 1],1,1))
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66 %!assert (isbanded ([1; 1],1,1))
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67 %!assert (isbanded (eye(10),0,0))
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68 %!assert (isbanded (eye(10),1,1))
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69 %!assert (isbanded (i*eye(10),1,1))
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70 %!assert (isbanded (logical (eye (10)),1,1))
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71
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72 %! 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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73 %! assert (isbanded (A,1,1))
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74 %! assert (! isbanded (A,0,1))
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75 %! assert (! isbanded (A,1,0))
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76
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77 %% Test input validation
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78 %!error isbanded ()
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79 %!error isbanded (1)
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80 %!error isbanded (1,2)
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81 %!error isbanded (1,2,3,4)
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82 %!error <LOWER and UPPER must be non-negative> isbanded (1, -1, 1)
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83 %!error <LOWER and UPPER must be non-negative> isbanded (1, 1, -1)
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84 %!error <LOWER and UPPER must be non-negative> isbanded (1, {1}, 1)
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85 %!error <LOWER and UPPER must be non-negative> isbanded (1, 1, {1})
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86