annotate scripts/general/interpn.m @ 14868:5d3a684236b0

maint: Use Octave coding conventions for cuddling parentheses in scripts directory * lin2mu.m, loadaudio.m, wavread.m, accumarray.m, bicubic.m, celldisp.m, colon.m, cplxpair.m, dblquad.m, divergence.m, genvarname.m, gradient.m, int2str.m, interp1.m, interp1q.m, interp2.m, interpn.m, loadobj.m, nthargout.m, __isequal__.m, __splinen__.m, quadgk.m, quadl.m, quadv.m, rat.m, rot90.m, rotdim.m, saveobj.m, subsindex.m, triplequad.m, delaunay3.m, griddata.m, inpolygon.m, tsearchn.m, voronoi.m, get_first_help_sentence.m, which.m, gray2ind.m, pink.m, dlmwrite.m, strread.m, textread.m, textscan.m, housh.m, ishermitian.m, issymmetric.m, krylov.m, logm.m, null.m, rref.m, compare_versions.m, copyfile.m, dump_prefs.m, edit.m, fileparts.m, getappdata.m, isappdata.m, movefile.m, orderfields.m, parseparams.m, __xzip__.m, rmappdata.m, setappdata.m, swapbytes.m, unpack.m, ver.m, fminbnd.m, fminunc.m, fsolve.m, glpk.m, lsqnonneg.m, qp.m, sqp.m, configure_make.m, copy_files.m, describe.m, get_description.m, get_forge_pkg.m, install.m, installed_packages.m, is_architecture_dependent.m, load_package_dirs.m, print_package_description.m, rebuild.m, repackage.m, save_order.m, shell.m, allchild.m, ancestor.m, area.m, axes.m, axis.m, clabel.m, close.m, colorbar.m, comet.m, comet3.m, contour.m, cylinder.m, ezmesh.m, ezsurf.m, findobj.m, fplot.m, hist.m, isocolors.m, isonormals.m, isosurface.m, isprop.m, legend.m, mesh.m, meshz.m, pareto.m, pcolor.m, peaks.m, plot3.m, plotmatrix.m, plotyy.m, polar.m, print.m, __add_datasource__.m, __add_default_menu__.m, __axes_limits__.m, __bar__.m, __clabel__.m, __contour__.m, __errcomm__.m, __errplot__.m, __ezplot__.m, __file_filter__.m, __fltk_print__.m, __ghostscript__.m, __gnuplot_print__.m, __go_draw_axes__.m, __go_draw_figure__.m, __interp_cube__.m, __marching_cube__.m, __patch__.m, __pie__.m, __plt__.m, __print_parse_opts__.m, __quiver__.m, __scatter__.m, __stem__.m, __tight_eps_bbox__.m, __uigetdir_fltk__.m, __uigetfile_fltk__.m, __uiputfile_fltk__.m, quiver.m, quiver3.m, rectangle.m, refreshdata.m, ribbon.m, scatter.m, semilogy.m, shading.m, slice.m, subplot.m, surface.m, surfl.m, surfnorm.m, text.m, uigetfile.m, uiputfile.m, whitebg.m, deconv.m, mkpp.m, pchip.m, polyaffine.m, polyder.m, polygcd.m, polyout.m, polyval.m, ppint.m, ppjumps.m, ppval.m, residue.m, roots.m, spline.m, splinefit.m, addpref.m, getpref.m, setpref.m, ismember.m, setxor.m, arch_fit.m, arch_rnd.m, arch_test.m, autoreg_matrix.m, diffpara.m, fftconv.m, filter2.m, hanning.m, hurst.m, periodogram.m, triangle_sw.m, sinc.m, spectral_xdf.m, spencer.m, stft.m, synthesis.m, unwrap.m, yulewalker.m, bicgstab.m, gmres.m, pcg.m, pcr.m, __sprand_impl__.m, speye.m, spfun.m, sprandn.m, spstats.m, svds.m, treelayout.m, treeplot.m, bessel.m, factor.m, legendre.m, perms.m, primes.m, magic.m, toeplitz.m, corr.m, cov.m, mean.m, median.m, mode.m, qqplot.m, quantile.m, ranks.m, zscore.m, logistic_regression_likelihood.m, bartlett_test.m, chisquare_test_homogeneity.m, chisquare_test_independence.m, kolmogorov_smirnov_test.m, run_test.m, u_test.m, wilcoxon_test.m, z_test.m, z_test_2.m, bin2dec.m, dec2base.m, mat2str.m, strcat.m, strchr.m, strjust.m, strtok.m, substr.m, untabify.m, assert.m, demo.m, example.m, fail.m, speed.m, test.m, now.m: Use Octave coding conventions for cuddling parentheses in scripts directory.
author Rik <octave@nomad.inbox5.com>
date Tue, 17 Jul 2012 07:08:39 -0700
parents f3d52523cde1
children 486c3e2731ff
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rev   line source
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72c96de7a403 maint: update copyright notices for 2012
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1 ## Copyright (C) 2007-2012 David Bateman
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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{vi} =} interpn (@var{x1}, @var{x2}, @dots{}, @var{v}, @var{y1}, @var{y2}, @dots{})
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21 ## @deftypefnx {Function File} {@var{vi} =} interpn (@var{v}, @var{y1}, @var{y2}, @dots{})
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22 ## @deftypefnx {Function File} {@var{vi} =} interpn (@var{v}, @var{m})
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23 ## @deftypefnx {Function File} {@var{vi} =} interpn (@var{v})
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24 ## @deftypefnx {Function File} {@var{vi} =} interpn (@dots{}, @var{method})
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25 ## @deftypefnx {Function File} {@var{vi} =} interpn (@dots{}, @var{method}, @var{extrapval})
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26 ##
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27 ## Perform @var{n}-dimensional interpolation, where @var{n} is at least two.
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28 ## Each element of the @var{n}-dimensional array @var{v} represents a value
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29 ## at a location given by the parameters @var{x1}, @var{x2}, @dots{}, @var{xn}.
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30 ## The parameters @var{x1}, @var{x2}, @dots{}, @var{xn} are either
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31 ## @var{n}-dimensional arrays of the same size as the array @var{v} in
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32 ## the "ndgrid" format or vectors. The parameters @var{y1}, etc. respect a
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33 ## similar format to @var{x1}, etc., and they represent the points at which
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34 ## the array @var{vi} is interpolated.
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35 ##
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36 ## If @var{x1}, @dots{}, @var{xn} are omitted, they are assumed to be
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37 ## @code{x1 = 1 : size (@var{v}, 1)}, etc. If @var{m} is specified, then
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38 ## the interpolation adds a point half way between each of the interpolation
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39 ## points. This process is performed @var{m} times. If only @var{v} is
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40 ## specified, then @var{m} is assumed to be @code{1}.
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41 ##
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42 ## Method is one of:
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43 ##
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44 ## @table @asis
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45 ## @item "nearest"
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46 ## Return the nearest neighbor.
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47 ##
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48 ## @item "linear"
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49 ## Linear interpolation from nearest neighbors.
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50 ##
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51 ## @item "cubic"
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52 ## Cubic interpolation from four nearest neighbors (not implemented yet).
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53 ##
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54 ## @item "spline"
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55 ## Cubic spline interpolation---smooth first and second derivatives
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56 ## throughout the curve.
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57 ## @end table
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58 ##
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59 ## The default method is "linear".
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60 ##
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61 ## If @var{extrapval} is the scalar value, use it to replace the values
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62 ## beyond the endpoints with that number. If @var{extrapval} is missing,
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63 ## assume NA.
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64 ## @seealso{interp1, interp2, spline, ndgrid}
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65 ## @end deftypefn
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66
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67 function vi = interpn (varargin)
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68
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69 method = "linear";
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70 extrapval = NA;
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71 nargs = nargin;
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72
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73 if (nargin < 1 || ! isnumeric (varargin{1}))
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74 print_usage ();
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75 endif
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76
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77 if (ischar (varargin{end}))
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78 method = varargin{end};
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79 nargs = nargs - 1;
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80 elseif (nargs > 1 && ischar (varargin{end - 1}))
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81 if (! isnumeric (varargin{end}) || ! isscalar (varargin{end}))
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82 error ("interpn: extrapal is expected to be a numeric scalar");
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83 endif
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84 method = varargin{end - 1};
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85 extrapval = varargin{end};
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86 nargs = nargs - 2;
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87 endif
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88
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89 if (nargs < 3)
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90 v = varargin{1};
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91 m = 1;
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92 if (nargs == 2)
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93 if (ischar (varargin{2}))
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94 method = varargin{2};
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95 elseif (isnumeric (m) && isscalar (m) && fix (m) == m)
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96 m = varargin{2};
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97 else
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98 print_usage ();
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99 endif
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100 endif
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101 sz = size (v);
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102 nd = ndims (v);
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103 x = cell (1, nd);
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104 y = cell (1, nd);
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105 for i = 1 : nd;
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106 x{i} = 1 : sz(i);
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107 y{i} = 1 : (1 / (2 ^ m)) : sz(i);
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108 endfor
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109 y{1} = y{1}.';
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110 [y{:}] = ndgrid (y{:});
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111 elseif (! isvector (varargin{1}) && nargs == (ndims (varargin{1}) + 1))
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112 v = varargin{1};
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113 sz = size (v);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
114 nd = ndims (v);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
115 x = cell (1, nd);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
116 y = varargin (2 : nargs);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
117 for i = 1 : nd;
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
118 x{i} = 1 : sz(i);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
119 endfor
11587
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parents: 11523
diff changeset
120 elseif (rem (nargs, 2) == 1 && nargs ==
10549
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parents: 10427
diff changeset
121 (2 * ndims (varargin{ceil (nargs / 2)})) + 1)
6702
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
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diff changeset
122 nv = ceil (nargs / 2);
7208
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jwe
parents: 7016
diff changeset
123 v = varargin{nv};
6702
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
124 sz = size (v);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
125 nd = ndims (v);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
126 x = varargin (1 : (nv - 1));
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
127 y = varargin ((nv + 1) : nargs);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
128 else
10635
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Rik <octave@nomad.inbox5.com>
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diff changeset
129 error ("interpn: wrong number or incorrectly formatted input arguments");
6702
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diff changeset
130 endif
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
131
12931
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Rik <octave@nomad.inbox5.com>
parents: 12175
diff changeset
132 if (any (! cellfun ("isvector", x)))
6702
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133 for i = 2 : nd
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
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diff changeset
134 if (! size_equal (x{1}, x{i}) || ! size_equal (x{i}, v))
10635
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Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
135 error ("interpn: dimensional mismatch");
6702
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dbateman
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diff changeset
136 endif
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
137 idx (1 : nd) = {1};
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
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diff changeset
138 idx (i) = ":";
6721
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139 x{i} = x{i}(idx{:})(:);
6702
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diff changeset
140 endfor
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
141 idx (1 : nd) = {1};
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
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diff changeset
142 idx (1) = ":";
6721
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143 x{1} = x{1}(idx{:})(:);
6702
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diff changeset
144 endif
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
145
7421
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diff changeset
146 method = tolower (method);
6702
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
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diff changeset
147
12931
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parents: 12175
diff changeset
148 all_vectors = all (cellfun ("isvector", y));
cefd568ea073 Replace function handles with function names in cellfun calls for 15% speedup.
Rik <octave@nomad.inbox5.com>
parents: 12175
diff changeset
149 different_lengths = numel (unique (cellfun ("numel", y))) > 1;
10819
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
150 if (all_vectors && different_lengths)
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
151 [foobar(1:numel(y)).y] = ndgrid (y{:});
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
152 y = {foobar.y};
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
153 endif
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
154
6702
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dbateman
parents:
diff changeset
155 if (strcmp (method, "linear"))
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
156 vi = __lin_interpn__ (x{:}, v, y{:});
6742
ebf96cc00ee9 [project @ 2007-06-18 16:27:52 by jwe]
jwe
parents: 6722
diff changeset
157 vi (isna (vi)) = extrapval;
6702
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
158 elseif (strcmp (method, "nearest"))
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
159 yshape = size (y{1});
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
160 yidx = cell (1, nd);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
161 for i = 1 : nd
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
162 y{i} = y{i}(:);
7671
4fbaba9abec1 implement compiled binary lookup
Jaroslav Hajek <highegg@gmail.com>
parents: 7561
diff changeset
163 yidx{i} = lookup (x{i}, y{i}, "lr");
6702
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
164 endfor
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
165 idx = cell (1,nd);
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
166 for i = 1 : nd
10819
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
167 idx{i} = yidx{i} + (y{i} - x{i}(yidx{i})(:) >= x{i}(yidx{i} + 1)(:) - y{i});
6702
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
168 endfor
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
169 vi = v (sub2ind (sz, idx{:}));
10819
f3c984d45dcb interpn.m: Convert interpolation vectors of non-equal length to nd-arrays.
Ben Abbott <bpabbott@mac.com>
parents: 10793
diff changeset
170 idx = zeros (prod (yshape), 1);
6702
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dbateman
parents:
diff changeset
171 for i = 1 : nd
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
172 idx |= y{i} < min (x{i}(:)) | y{i} > max (x{i}(:));
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
173 endfor
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
174 vi(idx) = extrapval;
11587
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John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
175 vi = reshape (vi, yshape);
6721
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dbateman
parents: 6702
diff changeset
176 elseif (strcmp (method, "spline"))
12931
cefd568ea073 Replace function handles with function names in cellfun calls for 15% speedup.
Rik <octave@nomad.inbox5.com>
parents: 12175
diff changeset
177 if (any (! cellfun ("isvector", y)))
7423
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman]
dbateman
parents: 7421
diff changeset
178 for i = 2 : nd
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 10427
diff changeset
179 if (! size_equal (y{1}, y{i}))
10635
d1978e7364ad Print name of function in error() string messages.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
180 error ("interpn: dimensional mismatch");
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 10427
diff changeset
181 endif
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 10427
diff changeset
182 idx (1 : nd) = {1};
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 10427
diff changeset
183 idx (i) = ":";
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 10427
diff changeset
184 y{i} = y{i}(idx{:});
7423
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman]
dbateman
parents: 7421
diff changeset
185 endfor
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman]
dbateman
parents: 7421
diff changeset
186 idx (1 : nd) = {1};
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman]
dbateman
parents: 7421
diff changeset
187 idx (1) = ":";
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman]
dbateman
parents: 7421
diff changeset
188 y{1} = y{1}(idx{:});
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman]
dbateman
parents: 7421
diff changeset
189 endif
7421
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dbateman
parents: 7208
diff changeset
190
6702
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parents:
diff changeset
191 vi = __splinen__ (x, v, y, extrapval, "interpn");
7421
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dbateman
parents: 7208
diff changeset
192
7423
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman]
dbateman
parents: 7421
diff changeset
193 if (size_equal (y{:}))
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman]
dbateman
parents: 7421
diff changeset
194 ly = length (y{1});
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman]
dbateman
parents: 7421
diff changeset
195 idx = cell (1, ly);
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman]
dbateman
parents: 7421
diff changeset
196 q = cell (1, nd);
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman]
dbateman
parents: 7421
diff changeset
197 for i = 1 : ly
10549
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 10427
diff changeset
198 q(:) = i;
95c3e38098bf Untabify .m scripts
Rik <code@nomad.inbox5.com>
parents: 10427
diff changeset
199 idx {i} = q;
7423
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman]
dbateman
parents: 7421
diff changeset
200 endfor
14868
5d3a684236b0 maint: Use Octave coding conventions for cuddling parentheses in scripts directory
Rik <octave@nomad.inbox5.com>
parents: 14363
diff changeset
201 vi = vi (cellfun (@(x) sub2ind (size (vi), x{:}), idx));
5d3a684236b0 maint: Use Octave coding conventions for cuddling parentheses in scripts directory
Rik <octave@nomad.inbox5.com>
parents: 14363
diff changeset
202 vi = reshape (vi, size (y{1}));
7423
342a48abed2a [project @ 2008-01-25 23:54:47 by dbateman]
dbateman
parents: 7421
diff changeset
203 endif
11587
c792872f8942 all script files: untabify and strip trailing whitespace
John W. Eaton <jwe@octave.org>
parents: 11523
diff changeset
204 elseif (strcmp (method, "cubic"))
10635
d1978e7364ad Print name of function in error() string messages.
Rik <octave@nomad.inbox5.com>
parents: 10549
diff changeset
205 error ("interpn: cubic interpolation not yet implemented");
6702
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
206 else
11472
1740012184f9 Use uppercase for variable names in error() strings to match Info documentation. Only m-files done.
Rik <octave@nomad.inbox5.com>
parents: 10846
diff changeset
207 error ("interpn: unrecognized interpolation METHOD");
6702
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dbateman
parents:
diff changeset
208 endif
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
209
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
210 endfunction
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
211
14237
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Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
212
6702
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dbateman
parents:
diff changeset
213 %!demo
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
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parents: 14138
diff changeset
214 %! clf;
14247
c4fa5e0b6193 test: Make surface demos reproducible by setting colormap to default at start of demo.
Rik <octave@nomad.inbox5.com>
parents: 14237
diff changeset
215 %! colormap ("default");
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
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parents: 14138
diff changeset
216 %! A = [13,-1,12;5,4,3;1,6,2];
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
217 %! x = [0,1,4]; y = [10,11,12];
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
218 %! xi = linspace (min (x), max (x), 17);
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
219 %! yi = linspace (min (y), max (y), 26)';
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
220 %! mesh (xi, yi, interpn (x,y,A.',xi,yi, "linear").');
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
221 %! [x,y] = meshgrid (x,y);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
222 %! hold on; plot3 (x(:),y(:),A(:),"b*"); hold off;
6702
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dbateman
parents:
diff changeset
223
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
224 %!demo
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
225 %! clf;
14247
c4fa5e0b6193 test: Make surface demos reproducible by setting colormap to default at start of demo.
Rik <octave@nomad.inbox5.com>
parents: 14237
diff changeset
226 %! colormap ("default");
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
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parents: 14138
diff changeset
227 %! A = [13,-1,12;5,4,3;1,6,2];
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
228 %! x = [0,1,4]; y = [10,11,12];
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
229 %! xi = linspace (min (x), max (x), 17);
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
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parents: 14359
diff changeset
230 %! yi = linspace (min (y), max (y), 26)';
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
231 %! mesh (xi, yi, interpn (x,y,A.',xi,yi, "nearest").');
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
232 %! [x,y] = meshgrid (x,y);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
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parents: 14138
diff changeset
233 %! hold on; plot3 (x(:),y(:),A(:),"b*"); hold off;
6702
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
diff changeset
234
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
235 %!#demo # FIXME: Uncomment when support for "cubic" has been added
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
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parents: 14138
diff changeset
236 %! clf;
14247
c4fa5e0b6193 test: Make surface demos reproducible by setting colormap to default at start of demo.
Rik <octave@nomad.inbox5.com>
parents: 14237
diff changeset
237 %! colormap ("default");
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
238 %! A = [13,-1,12;5,4,3;1,6,2];
14363
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
239 %! x = [0,1,2]; y = [10,11,12];
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
240 %! xi = linspace (min (x), max (x), 17);
f3d52523cde1 Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents: 14359
diff changeset
241 %! yi = linspace (min (y), max (y), 26)';
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
242 %! mesh (xi, yi, interpn (x,y,A.',xi,yi, "cubic").');
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
243 %! [x,y] = meshgrid (x,y);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
244 %! hold on; plot3 (x(:),y(:),A(:),"b*"); hold off;
6702
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
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245
b2391d403ed2 [project @ 2007-06-12 21:39:26 by dbateman]
dbateman
parents:
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246 %!demo
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247 %! clf;
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248 %! colormap ("default");
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249 %! A = [13,-1,12;5,4,3;1,6,2];
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250 %! x = [0,1,2]; y = [10,11,12];
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251 %! xi = linspace (min (x), max (x), 17);
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252 %! yi = linspace (min (y), max (y), 26)';
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253 %! mesh (xi, yi, interpn (x,y,A.',xi,yi, "spline").');
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254 %! [x,y] = meshgrid (x,y);
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255 %! hold on; plot3 (x(:),y(:),A(:),"b*"); hold off;
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256
01036667884a [project @ 2007-06-14 06:56:41 by dbateman]
dbateman
parents: 6702
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257 %!demo
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258 %! clf;
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259 %! colormap ("default");
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dbateman
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260 %! x = y = z = -1:1;
01036667884a [project @ 2007-06-14 06:56:41 by dbateman]
dbateman
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261 %! f = @(x,y,z) x.^2 - y - z.^2;
01036667884a [project @ 2007-06-14 06:56:41 by dbateman]
dbateman
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262 %! [xx, yy, zz] = meshgrid (x, y, z);
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dbateman
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263 %! v = f (xx,yy,zz);
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dbateman
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264 %! xi = yi = zi = -1:0.1:1;
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dbateman
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265 %! [xxi, yyi, zzi] = ndgrid (xi, yi, zi);
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266 %! vi = interpn (x, y, z, v, xxi, yyi, zzi, "spline");
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267 %! mesh (yi, zi, squeeze (vi(1,:,:)));
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dbateman
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268
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1c7b3e1fda19 [project @ 2008-01-25 21:00:42 by dbateman]
dbateman
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269 %!test
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270 %! [x,y,z] = ndgrid (0:2);
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271 %! f = x + y + z;
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272 %! assert (interpn (x,y,z,f,[.5 1.5],[.5 1.5],[.5 1.5]), [1.5, 4.5]);
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273 %! assert (interpn (x,y,z,f,[.51 1.51],[.51 1.51],[.51 1.51],"nearest"), [3, 6]);
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274 %! assert (interpn (x,y,z,f,[.5 1.5],[.5 1.5],[.5 1.5],"spline"), [1.5, 4.5]);
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275 %! assert (interpn (x,y,z,f,x,y,z), f);
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276 %! assert (interpn (x,y,z,f,x,y,z,"nearest"), f);
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277 %! assert (interpn (x,y,z,f,x,y,z,"spline"), f);
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278
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Alexander Barth
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279 %!test
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Ben Abbott <bpabbott@mac.com>
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280 %! [x, y, z] = ndgrid (0:2, 1:4, 2:6);
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281 %! f = x + y + z;
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282 %! xi = [0.5 1.0 1.5]; yi = [1.5 2.0 2.5 3.5]; zi = [2.5 3.5 4.0 5.0 5.5];
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283 %! fi = interpn (x, y, z, f, xi, yi, zi);
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284 %! [xi, yi, zi] = ndgrid (xi, yi, zi);
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285 %! assert (fi, xi + yi + zi);
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286
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287 %!test
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288 %! xi = 0:2; yi = 1:4; zi = 2:6;
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289 %! [x, y, z] = ndgrid (xi, yi, zi);
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Ben Abbott <bpabbott@mac.com>
parents: 10793
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290 %! f = x + y + z;
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291 %! fi = interpn (x, y, z, f, xi, yi, zi, "nearest");
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292 %! assert (fi, x + y + z);
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293
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294 %!test
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295 %! [x,y,z] = ndgrid (0:2);
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296 %! f = x.^2 + y.^2 + z.^2;
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297 %! assert (interpn (x,y,-z,f,1.5,1.5,-1.5), 7.5);
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298
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299 %!test # for Matlab-compatible rounding for "nearest"
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300 %! x = meshgrid (1:4);
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301 %! assert (interpn (x, 2.5, 2.5, "nearest"), 3);
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302
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303 %!test
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304 %! z = zeros (3, 3, 3);
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305 %! zout = zeros (5, 5, 5);
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306 %! z(:,:,1) = [1 3 5; 3 5 7; 5 7 9];
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307 %! z(:,:,2) = z(:,:,1) + 2;
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Ben Abbott <bpabbott@mac.com>
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308 %! z(:,:,3) = z(:,:,2) + 2;
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Ben Abbott <bpabbott@mac.com>
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309 %! for n = 1:5
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310 %! zout(:,:,n) = [1 2 3 4 5;
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311 %! 2 3 4 5 6;
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Ben Abbott <bpabbott@mac.com>
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312 %! 3 4 5 6 7;
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Ben Abbott <bpabbott@mac.com>
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313 %! 4 5 6 7 8;
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Ben Abbott <bpabbott@mac.com>
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314 %! 5 6 7 8 9] + (n-1);
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315 %! endfor
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316 %! tol = 10*eps;
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317 %! assert (interpn (z), zout, tol);
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318 %! assert (interpn (z, "linear"), zout, tol);
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319 %! assert (interpn (z, "spline"), zout, tol);
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320