Mercurial > hg > octave-lyh
annotate scripts/general/interp1q.m @ 14872:c2dbdeaa25df
maint: use rows() and columns() to clarify m-files.
* gradient.m, interp1q.m, rat.m, tsearchn.m, image.m, imwrite.m, area.m,
contourc.m, hist.m, isocolors.m, isonormals.m, meshz.m, print.m, __bar__.m,
__go_draw_axes__.m, __interp_cube__.m, __marching_cube__.m, __patch__.m,
__print_parse_opts__.m, __quiver__.m, rose.m, shrinkfaces.m, stairs.m,
surfnorm.m, tetramesh.m, text.m, deconv.m, spline.m, intersect.m, setdiff.m,
setxor.m, union.m, periodogram.m, pcg.m, perms.m: Replace size (x,1) with
rows (x) and size(x,2) with columns(x).
| author | Rik <octave@nomad.inbox5.com> |
|---|---|
| date | Tue, 17 Jul 2012 13:34:19 -0700 |
| parents | 5d3a684236b0 |
| children | bb3a1ec7cc4b |
| rev | line source |
|---|---|
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John W. Eaton <jwe@octave.org>
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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 an array, treat the columns |
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25 ## of @var{y} separately. If @var{y} is a vector, it must be a column |
| 7785 | 26 ## vector of the same length as @var{x}. |
| 27 ## | |
| 28 ## Values of @var{xi} beyond the endpoints of the interpolation result | |
| 29 ## in NA being returned. | |
| 30 ## | |
| 31 ## Note that the error checking is only a significant portion of the | |
| 32 ## execution time of this @code{interp1} if the size of the input arguments | |
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33 ## is relatively small. Therefore, the benefit of using @code{interp1q} |
| 7785 | 34 ## is relatively small. |
| 35 ## @seealso{interp1} | |
| 36 ## @end deftypefn | |
| 37 | |
| 38 function yi = interp1q (x, y, xi) | |
| 39 x = x(:); | |
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40 nx = rows (x); |
| 7785 | 41 szy = size (y); |
| 9940 | 42 y = y(:,:); |
| 43 [ny, nc] = size (y); | |
| 7785 | 44 szx = size (xi); |
| 45 xi = xi (:); | |
| 9940 | 46 dy = diff (y); |
| 47 dx = diff (x); | |
| 7785 | 48 idx = lookup (x, xi, "lr"); |
| 49 s = (xi - x (idx)) ./ dx (idx); | |
| 9940 | 50 yi = bsxfun (@times, s, dy(idx,:)) + y(idx,:); |
| 51 range = xi < x(1) | !(xi <= x(nx)); | |
| 52 yi(range,:) = NA; | |
| 7785 | 53 if (length (szx) == 2 && any (szx == 1)) |
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54 yi = reshape (yi, [max(szx), szy(2:end)]); |
| 7785 | 55 else |
| 56 yi = reshape (yi, [szx, szy(2:end)]); | |
| 57 endif | |
| 58 endfunction | |
| 59 | |
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60 |
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61 %!shared xp, yp, xi, yi |
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62 %! xp = [0:2:10].'; yp = sin (2*pi*xp/5); |
| 7785 | 63 %! xi = [-1; 0; 2.2; 4; 6.6; 10; 11]; |
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64 %! yi = interp1 (xp,yp,xi); |
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65 %!assert (interp1q (xp,yp, [min(xp)-1; max(xp)+1]), [NA; NA]); |
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66 %!assert (interp1q (xp,yp,xp), yp, 100*eps); |
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67 %!assert (isempty (interp1q (xp,yp,[]))); |
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68 %!assert (interp1q (xp,yp,xi), yi); |
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69 %!assert (interp1q (xp,[yp,yp],xi), [yi, yi]); |
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70 %!assert (interp1q (xp,yp,[xi,xi]), [yi, yi]); |
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71 %!assert (interp1q (xp,[yp,yp],[xi,xi]), cat (3, [yi, yi], [yi, yi])); |
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72 |