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annotate scripts/deprecated/interp1q.m @ 19898:4197fc428c7d

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maint: Update copyright notices for 2015.
author John W. Eaton <jwe@octave.org>
date Wed, 11 Feb 2015 14:19:08 -0500
parents e124ae274013
children 9fc020886ae9
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19898
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John W. Eaton <jwe@octave.org>
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1 ## Copyright (C) 2008-2015 David Bateman
18102
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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} {@var{yi} =} interp1q (@var{x}, @var{y}, @var{xi})
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21 ## One-dimensional linear interpolation without error checking.
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22 ## Interpolates @var{y}, defined at the points @var{x}, at the points
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23 ## @var{xi}. The sample points @var{x} must be a strictly monotonically
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24 ## increasing column vector. If @var{y} is a matrix or an N-dimensional
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25 ## array, the interpolation is performed on each column of @var{y}. If
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26 ## @var{y} is a vector, it must be a column vector of the same length as
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27 ## @var{x}.
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28 ##
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29 ## Values of @var{xi} beyond the endpoints of the interpolation result
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30 ## in NA being returned.
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31 ##
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32 ## Note that the error checking is only a significant portion of the
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33 ## execution time of this @code{interp1} if the size of the input arguments
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34 ## is relatively small. Therefore, the benefit of using @code{interp1q}
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35 ## is relatively small.
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36 ## @seealso{interp1}
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37 ## @end deftypefn
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38
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39 function yi = interp1q (x, y, xi)
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40
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41 persistent warned = false;
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42 if (! warned)
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43 warned = true;
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44 warning ("Octave:deprecated-function",
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45 "interp1q is obsolete and will be removed from a future version of Octave; use interp1 instead");
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46 endif
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47
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48 x = x(:);
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49 nx = rows (x);
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50 szy = size (y);
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51 y = y(:,:);
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52 [ny, nc] = size (y);
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53 szx = size (xi);
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54 xi = xi (:);
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55 dy = diff (y);
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56 dx = diff (x);
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57 idx = lookup (x, xi, "lr");
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58 s = (xi - x (idx)) ./ dx (idx);
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59 yi = bsxfun (@times, s, dy(idx,:)) + y(idx,:);
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60 range = xi < x(1) | !(xi <= x(nx));
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61 yi(range,:) = NA;
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62 if (length (szx) == 2 && any (szx == 1))
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63 yi = reshape (yi, [max(szx), szy(2:end)]);
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64 else
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65 yi = reshape (yi, [szx, szy(2:end)]);
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66 endif
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67 endfunction
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68
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69
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70 %!shared xp, yp, xi, yi
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71 %! xp = [0:2:10].'; yp = sin (2*pi*xp/5);
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72 %! xi = [-1; 0; 2.2; 4; 6.6; 10; 11];
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73 %! yi = interp1 (xp,yp,xi);
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74 %!assert (interp1q (xp,yp, [min(xp)-1; max(xp)+1]), [NA; NA]);
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75 %!assert (interp1q (xp,yp,xp), yp, 100*eps);
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76 %!assert (isempty (interp1q (xp,yp,[])));
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77 %!assert (interp1q (xp,yp,xi), yi);
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78 %!assert (interp1q (xp,[yp,yp],xi), [yi, yi]);
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79 %!assert (interp1q (xp,yp,[xi,xi]), [yi, yi]);
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80 %!assert (interp1q (xp,[yp,yp],[xi,xi]), cat (3, [yi, yi], [yi, yi]));
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81