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doc: Clarify object types for isX functions (bug #48088) * libinterp/corefcn/data.cc (isscalar, isvector, isrow, iscolumn, ismatrix, issquare): Change docstring to indicate the functions apply to arrays of any type. * libinterp/octave-value/ov-null-mat.cc (isnull): Replace matrix with array in docstring. * scripts/linear-algebra/isbanded.m, isdefinite.m, ishermitian.m, issymmetric.m, istril, istriu: Note in docstrings that functions return true for numeric matrices. * scripts/linear-algebra/isdiag.m: Note in docstring that function returns true for numeric matrices. Define meaning of diagonal.
author Nicholas R. Jankowski <jankowski.nicholas@gmail.com>
date Thu, 15 Feb 2024 21:42:27 -0500
parents 2e484f9f1f18
children
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 2014-2024 The Octave Project Developers
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4 ##
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5 ## See the file COPYRIGHT.md in the top-level directory of this
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6 ## distribution or <https://octave.org/copyright/>.
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7 ##
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8 ## This file is part of Octave.
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9 ##
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10 ## Octave is free software: you can redistribute it and/or modify it
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11 ## under the terms of the GNU General Public License as published by
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12 ## the Free Software Foundation, either version 3 of the License, or
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13 ## (at your option) any later version.
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14 ##
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15 ## Octave is distributed in the hope that it will be useful, but
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16 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 ## GNU General Public License for more details.
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19 ##
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20 ## You should have received a copy of the GNU General Public License
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21 ## along with Octave; see the file COPYING. If not, see
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22 ## <https://www.gnu.org/licenses/>.
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23 ##
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24 ########################################################################
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25
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26 ## -*- texinfo -*-
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27 ## @deftypefn {} {@var{tf} =} isbanded (@var{A}, @var{lower}, @var{upper})
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28 ## Return true if @var{A} is a numeric matrix with entries confined between
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29 ## @var{lower} diagonals below the main diagonal and @var{upper} diagonals
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30 ## above the main diagonal.
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31 ##
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32 ## @var{lower} and @var{upper} must be non-negative integers.
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33 ## @seealso{isdiag, istril, istriu, bandwidth}
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34 ## @end deftypefn
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35
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36 function tf = isbanded (A, lower, upper)
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37
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38 if (nargin != 3)
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39 print_usage ();
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40 endif
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41
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42 if (! isreal (lower) || ! isreal (upper) || lower < 0 || upper < 0)
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43 error ("isbanded: LOWER and UPPER must be non-negative integers");
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44 endif
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45
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46 if (isempty (A))
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47 tf = [];
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48 else
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49 tf = (isnumeric (A) || islogical (A)) && ndims (A) == 2;
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50 if (tf)
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51 [i, j] = find (A);
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52 pupp = j >= i;
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53 tf = all (j(pupp) - i(pupp) <= upper);
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54 if (tf)
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55 plow = i >= j;
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56 tf = all (i(plow) - j(plow) <= lower);
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57 endif
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58 endif
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59 endif
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60
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61 endfunction
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63
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64 %!assert (! isbanded ("string", 0, 0))
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65 %!assert (! isbanded (zeros (2,2,2), 0, 0))
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66 %!assert (isbanded ([], 0, 0), [])
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67 %!assert (isbanded (1,0,0))
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68 %!assert (isbanded (1,10,10))
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69
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70 %!assert (isbanded ([1, 1],1,1))
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71 %!assert (isbanded ([1; 1],1,1))
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72 %!assert (isbanded (eye (10),0,0))
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73 %!assert (isbanded (eye (10),1,1))
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74 %!assert (isbanded (i*eye (10),1,1))
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75 %!assert (isbanded (logical (eye (10)),1,1))
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76
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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 %! assert (isbanded (A,1,1));
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79 %! assert (! isbanded (A,0,1));
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80 %! assert (! isbanded (A,1,0));
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81
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82 ## Test input validation
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83 %!error <Invalid call> isbanded ()
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84 %!error <Invalid call> isbanded (1)
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85 %!error <Invalid call> isbanded (1,2)
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86 %!error <LOWER and UPPER must be non-negative> isbanded (1, -1, 1)
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87 %!error <LOWER and UPPER must be non-negative> isbanded (1, 1, -1)
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88 %!error <LOWER and UPPER must be non-negative> isbanded (1, {1}, 1)
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89 %!error <LOWER and UPPER must be non-negative> isbanded (1, 1, {1})