annotate scripts/general/chop.m @ 14383:07c55bceca23 stable

Fix guarded_eval() subfunction in fminunc (bug #35534). * fminunc.m: Fix guarded_eval() subfunction in fminunc (bug #35534).
author Olaf Till <olaf.till@uni-jena.de>
date Wed, 15 Feb 2012 14:44:37 +0100
parents 4d917a6a858b
children f3d52523cde1
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1 ## Copyright (C) 2010-2012 John W. Eaton
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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} {} chop (@var{x}, @var{ndigits}, @var{base})
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21 ## Truncate elements of @var{x} to a length of @var{ndigits} such that the
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22 ## resulting numbers are exactly divisible by @var{base}. If @var{base} is not
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23 ## specified it defaults to 10.
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24 ##
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25 ## @example
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26 ## @group
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27 ## chop (-pi, 5, 10)
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28 ## @result{} -3.14200000000000
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29 ## chop (-pi, 5, 5)
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30 ## @result{} -3.14150000000000
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31 ## @end group
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32 ## @end example
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33 ## @end deftypefn
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34
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35 function retval = chop (x, ndigits, base = 10)
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36
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37 if (nargin == 2 || nargin == 3)
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38 tmp = abs (x);
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39
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40 ## Avoid computing log (0).
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41 tmp(x == 0) = 1;
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42
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43 ## Digits to the left of the decimal.
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44 tmp = floor (log10 (tmp) + 1);
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45
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46 ## The expression
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47 ##
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48 ## round (x .* inflate)
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49 ##
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50 ## produces an integer that contains the digits we want to keep.
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51 ## Multiplying by deflate puts the decimal back where it belngs.
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52 ##
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53 ## Further scaling and rounding with the base factor produces a
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54 ## value with ndigits exactly divisible by base. We skip that step
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55 ## unless base was explicitly provided.
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56
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57 inflate = 10 .^ (ndigits - tmp);
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58 deflate = 10 .^ (tmp - ndigits);
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59 if (nargin == 2)
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60 retval = deflate .* round (x .* inflate);
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61 else
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62 retval = base .* deflate .* round (round (x .* inflate) ./ base);
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63 endif
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64 else
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65 print_usage ();
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66 endif
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67
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68 endfunction
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69
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70
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71 %!assert (chop (e, 3), 2.72)
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72 %!assert (chop (e, 4), 2.718)
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73 %!assert (chop (e, 4, 5), 2.72)
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74 %!assert (chop (e, 4, 7), 2.716)
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75 %!assert (chop (-e, 3), -2.72)
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76 %!assert (chop (-e, 4), -2.718)
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77 %!assert (chop (-e, 4, 5), -2.72)
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78 %!assert (chop (-e, 4, 7), -2.716)
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79 %!assert (chop (hilb (3), 3), [1,.5,.333;.5,.333,.25;.333,.25,.2])
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80 %!assert (chop (hilb (3), 2, 7), [.7,.49,.35;.49,.35,.28;.35,.28,.21], 2*eps)