Mercurial > hg > octave-lyh
annotate scripts/general/interp1q.m @ 17535:c12c688a35ed default tip lyh
Fix warnings
| author | LYH <lyh.kernel@gmail.com> |
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| date | Fri, 27 Sep 2013 17:43:27 +0800 |
| parents | bb3a1ec7cc4b |
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| rev | line source |
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1 ## Copyright (C) 2008-2012 David Bateman |
| 7785 | 2 ## |
| 3 ## This file is part of Octave. | |
| 4 ## | |
| 5 ## Octave is free software; you can redistribute it and/or modify it | |
| 6 ## under the terms of the GNU General Public License as published by | |
| 7 ## the Free Software Foundation; either version 3 of the License, or (at | |
| 8 ## your option) any later version. | |
| 9 ## | |
| 10 ## Octave is distributed in the hope that it will be useful, but | |
| 11 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
| 12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
| 13 ## General Public License for more details. | |
| 14 ## | |
| 15 ## You should have received a copy of the GNU General Public License | |
| 16 ## along with Octave; see the file COPYING. If not, see | |
| 17 ## <http://www.gnu.org/licenses/>. | |
| 18 | |
| 19 ## -*- texinfo -*- | |
| 20 ## @deftypefn {Function File} {@var{yi} =} interp1q (@var{x}, @var{y}, @var{xi}) | |
| 21 ## One-dimensional linear interpolation without error checking. | |
| 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}. |
| 7785 | 28 ## |
| 29 ## Values of @var{xi} beyond the endpoints of the interpolation result | |
| 30 ## in NA being returned. | |
| 31 ## | |
| 32 ## Note that the error checking is only a significant portion of the | |
| 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} |
| 7785 | 35 ## is relatively small. |
| 36 ## @seealso{interp1} | |
| 37 ## @end deftypefn | |
| 38 | |
| 39 function yi = interp1q (x, y, xi) | |
| 40 x = x(:); | |
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41 nx = rows (x); |
| 7785 | 42 szy = size (y); |
| 9940 | 43 y = y(:,:); |
| 44 [ny, nc] = size (y); | |
| 7785 | 45 szx = size (xi); |
| 46 xi = xi (:); | |
| 9940 | 47 dy = diff (y); |
| 48 dx = diff (x); | |
| 7785 | 49 idx = lookup (x, xi, "lr"); |
| 50 s = (xi - x (idx)) ./ dx (idx); | |
| 9940 | 51 yi = bsxfun (@times, s, dy(idx,:)) + y(idx,:); |
| 52 range = xi < x(1) | !(xi <= x(nx)); | |
| 53 yi(range,:) = NA; | |
| 7785 | 54 if (length (szx) == 2 && any (szx == 1)) |
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55 yi = reshape (yi, [max(szx), szy(2:end)]); |
| 7785 | 56 else |
| 57 yi = reshape (yi, [szx, szy(2:end)]); | |
| 58 endif | |
| 59 endfunction | |
| 60 | |
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61 |
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62 %!shared xp, yp, xi, yi |
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63 %! xp = [0:2:10].'; yp = sin (2*pi*xp/5); |
| 7785 | 64 %! xi = [-1; 0; 2.2; 4; 6.6; 10; 11]; |
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65 %! yi = interp1 (xp,yp,xi); |
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66 %!assert (interp1q (xp,yp, [min(xp)-1; max(xp)+1]), [NA; NA]); |
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67 %!assert (interp1q (xp,yp,xp), yp, 100*eps); |
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68 %!assert (isempty (interp1q (xp,yp,[]))); |
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69 %!assert (interp1q (xp,yp,xi), yi); |
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70 %!assert (interp1q (xp,[yp,yp],xi), [yi, yi]); |
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71 %!assert (interp1q (xp,yp,[xi,xi]), [yi, yi]); |
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72 %!assert (interp1q (xp,[yp,yp],[xi,xi]), cat (3, [yi, yi], [yi, yi])); |
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73 |