Mercurial > octave
annotate scripts/linear-algebra/istril.m @ 29358:0a5b15007766 stable
update Octave Project Developers copyright for the new year
In files that have the "Octave Project Developers" copyright notice,
update for 2021.
author | John W. Eaton <jwe@octave.org> |
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date | Wed, 10 Feb 2021 09:52:15 -0500 |
parents | a4268efb7334 |
children | 7854d5752dd2 |
rev | line source |
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1 ######################################################################## |
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2 ## |
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3 ## Copyright (C) 2014-2021 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 {} {} istril (@var{A}) |
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28 ## Return true if @var{A} is a lower triangular matrix. |
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29 ## |
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30 ## A lower triangular matrix has nonzero entries only on the main diagonal and |
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31 ## below. |
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32 ## @seealso{istriu, isbanded, isdiag, tril, bandwidth} |
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33 ## @end deftypefn |
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34 |
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35 function retval = istril (A) |
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36 |
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37 if (nargin != 1) |
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38 print_usage (); |
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39 endif |
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40 |
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41 retval = (isnumeric (A) || islogical (A)) && ndims (A) == 2; |
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42 if (retval) |
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43 [i, j] = find (A); |
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44 retval = all (i >= j); |
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45 endif |
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46 |
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47 endfunction |
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48 |
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49 |
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50 %!assert (! istril ("string")) |
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51 %!assert (istril ([])) |
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52 %!assert (! istril (zeros (2,2,2))) |
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53 |
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54 %!assert (istril (1)) |
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55 %!assert (! istril ([1, 1])) |
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56 %!assert (istril ([1; 1])) |
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57 %!assert (istril (eye (10))) |
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58 %!assert (istril (speye (100))) |
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59 |
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60 %!assert (istril (tril (randn (10)))) |
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61 %!assert (! istril (randn (10))) |
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62 |
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63 ## Test input validation |
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64 %!error istril () |
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65 %!error istril (1,2) |