Mercurial > hg > octave-nkf
annotate scripts/linear-algebra/isbanded.m @ 20782:1b62fc4e1b2f stable
doc: Cuddle parentheses in example code of for loop.
* stmt.txi: Cuddle parentheses in example code of for loop.
author | Rik <rik@octave.org> |
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date | Wed, 07 Oct 2015 14:41:39 -0700 |
parents | df3244834a50 |
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rev | line source |
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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} {} 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 |