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1 ## Copyright (C) 2000, 2006, 2007 Paul Kienzle |
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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} {} isprime (@var{n}) |
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21 ## |
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22 ## Return true if @var{n} is a prime number, false otherwise. |
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23 ## |
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24 ## Something like the following is much faster if you need to test a lot |
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25 ## of small numbers: |
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26 ## |
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27 ## @example |
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28 ## @var{t} = ismember (@var{n}, primes (max (@var{n} (:)))); |
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29 ## @end example |
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30 ## |
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31 ## If max(n) is very large, then you should be using special purpose |
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32 ## factorization code. |
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33 ## |
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34 ## @seealso{primes, factor, gcd, lcm} |
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35 ## @end deftypefn |
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36 |
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37 function t = isprime (n) |
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38 if (! isscalar (n)) |
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39 nel = numel (n); |
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40 t = n; |
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41 for i = 1:nel |
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42 t(i) = isprime (t(i)); |
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43 endfor |
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44 elseif (n != fix (n) || n < 2) |
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45 t = 0; |
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46 elseif (n < 9) |
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47 t = all (n != [4, 6, 8]); |
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48 else |
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49 q = n./[2, 3:2:sqrt(n)]; |
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50 t = all (q != fix (q)); |
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51 endif |
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52 endfunction |
