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annotate scripts/polynomial/polyint.m @ 20830:b65888ec820e draft default tip gccjit

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dmalcom gcc jit import
author Stefan Mahr <dac922@gmx.de>
date Fri, 27 Feb 2015 16:59:36 +0100
parents f1d0f506ee78
children
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19898
4197fc428c7d maint: Update copyright notices for 2015.
John W. Eaton <jwe@octave.org>
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1 ## Copyright (C) 1996-2015 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} {} polyint (@var{p})
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21 ## @deftypefnx {Function File} {} polyint (@var{p}, @var{k})
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22 ## Return the coefficients of the integral of the polynomial whose
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23 ## coefficients are represented by the vector @var{p}.
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24 ##
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25 ## The variable @var{k} is the constant of integration, which by default is
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26 ## set to zero.
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27 ## @seealso{polyder, polyval}
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28 ## @end deftypefn
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29
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30 ## Author: Tony Richardson <arichard@stark.cc.oh.us>
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31 ## Created: June 1994
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32 ## Adapted-By: jwe
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33
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34 function retval = polyint (p, k)
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35
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36 if (nargin < 1 || nargin > 2)
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37 print_usage ();
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38 endif
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39
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40 if (nargin == 1)
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41 k = 0;
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42 elseif (! isscalar (k))
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43 error ("polyint: the constant of integration must be a scalar");
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44 endif
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45
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46 if (! (isvector (p) || isempty (p)))
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47 error ("polyint: argument must be a vector");
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48 endif
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49
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50 lp = length (p);
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51
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52 if (lp == 0)
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53 retval = [];
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54 return;
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55 endif
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56
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57 if (rows (p) > 1)
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58 ## Convert to column vector
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59 p = p.';
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60 endif
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61
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62 retval = [(p ./ [lp:-1:1]), k];
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63
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64 endfunction
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65
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66
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67 %!test
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68 %! A = [3, 2, 1];
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69 %! assert (polyint (A), polyint (A,0));
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70 %! assert (polyint (A), polyint (A'));
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71 %! assert (polyint (A), [1, 1, 1, 0]);
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72 %! assert (polyint (A,1), ones (1,4));
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74 %!test
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75 %! A = ones (1,8);
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76 %! B = [length(A):-1:1];
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77 %! assert (polyint (A), [1./B, 0]);
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78
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79 %!error polyint ()
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80 %!error polyint (ones (2,2))
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81