Mercurial > hg > octave-nkf
annotate scripts/general/interpn.m @ 17281:bc924baa2c4e
doc: Add new @qcode macro for code samples which are quoted.
Macro handles options ("on") or properties ("position") more elegantly
than @code{"text"}.
* doc/interpreter/macros.texi: Add new @qcode macro.
* doc/interpreter/tips.txi: Add documentation about @qcode macro.
* doc/interpreter/basics.txi, doc/interpreter/container.txi,
doc/interpreter/emacs.txi, doc/interpreter/errors.txi,
doc/interpreter/eval.txi, doc/interpreter/expr.txi,
doc/interpreter/external.txi, doc/interpreter/func.txi,
doc/interpreter/grammar.txi, doc/interpreter/image.txi,
doc/interpreter/install.txi, doc/interpreter/interp.txi,
doc/interpreter/io.txi, doc/interpreter/matrix.txi,
doc/interpreter/numbers.txi, doc/interpreter/oop.txi,
doc/interpreter/package.txi, doc/interpreter/plot.txi,
doc/interpreter/quad.txi, doc/interpreter/sparse.txi,
doc/interpreter/strings.txi, doc/interpreter/system.txi,
doc/interpreter/vectorize.txi, libinterp/corefcn/balance.cc,
libinterp/corefcn/bitfcns.cc, libinterp/corefcn/cellfun.cc,
libinterp/corefcn/conv2.cc, libinterp/corefcn/data.cc,
libinterp/corefcn/debug.cc, libinterp/corefcn/defaults.cc,
libinterp/corefcn/dirfns.cc, libinterp/corefcn/dlmread.cc,
libinterp/corefcn/error.cc, libinterp/corefcn/file-io.cc,
libinterp/corefcn/find.cc, libinterp/corefcn/gammainc.cc,
libinterp/corefcn/graphics.cc, libinterp/corefcn/help.cc,
libinterp/corefcn/hex2num.cc, libinterp/corefcn/input.cc,
libinterp/corefcn/load-path.cc, libinterp/corefcn/load-save.cc,
libinterp/corefcn/ls-oct-ascii.cc, libinterp/corefcn/lu.cc,
libinterp/corefcn/luinc.cc, libinterp/corefcn/matrix_type.cc,
libinterp/corefcn/oct-hist.cc, libinterp/corefcn/pager.cc,
libinterp/corefcn/pr-output.cc, libinterp/corefcn/pt-jit.cc,
libinterp/corefcn/qz.cc, libinterp/corefcn/rand.cc,
libinterp/corefcn/regexp.cc, libinterp/corefcn/schur.cc,
libinterp/corefcn/sighandlers.cc, libinterp/corefcn/sparse.cc,
libinterp/corefcn/spparms.cc, libinterp/corefcn/str2double.cc,
libinterp/corefcn/svd.cc, libinterp/corefcn/symtab.cc,
libinterp/corefcn/syscalls.cc, libinterp/corefcn/toplev.cc,
libinterp/corefcn/tril.cc, libinterp/corefcn/typecast.cc,
libinterp/corefcn/utils.cc, libinterp/corefcn/variables.cc,
libinterp/dldfcn/__init_fltk__.cc, libinterp/dldfcn/chol.cc,
libinterp/dldfcn/colamd.cc, libinterp/dldfcn/fftw.cc, libinterp/dldfcn/qr.cc,
libinterp/dldfcn/symbfact.cc, libinterp/octave-value/ov-base.cc,
libinterp/octave-value/ov-fcn-handle.cc,
libinterp/octave-value/ov-fcn-inline.cc, libinterp/octave-value/ov-java.cc,
libinterp/octave-value/ov-range.cc, libinterp/octave-value/ov-struct.cc,
libinterp/octave-value/ov-usr-fcn.cc, libinterp/parse-tree/oct-parse.in.yy,
libinterp/parse-tree/pt-binop.cc, libinterp/parse-tree/pt-eval.cc,
libinterp/parse-tree/pt-mat.cc, scripts/@ftp/ftp.m,
scripts/deprecated/java_convert_matrix.m, scripts/deprecated/java_debug.m,
scripts/deprecated/java_unsigned_conversion.m, scripts/deprecated/shell_cmd.m,
scripts/general/dblquad.m, scripts/general/display.m,
scripts/general/genvarname.m, scripts/general/idivide.m,
scripts/general/interp1.m, scripts/general/interp2.m,
scripts/general/interp3.m, scripts/general/interpn.m, scripts/general/isa.m,
scripts/general/profexplore.m, scripts/general/profile.m,
scripts/general/quadgk.m, scripts/general/randi.m, scripts/general/structfun.m,
scripts/general/subsindex.m, scripts/general/triplequad.m,
scripts/geometry/griddata.m, scripts/geometry/griddata3.m,
scripts/geometry/griddatan.m, scripts/geometry/voronoi.m, scripts/help/help.m,
scripts/help/lookfor.m, scripts/image/cmpermute.m, scripts/image/colormap.m,
scripts/image/image.m, scripts/image/imagesc.m, scripts/image/imfinfo.m,
scripts/image/imformats.m, scripts/image/imread.m, scripts/image/imshow.m,
scripts/image/imwrite.m, scripts/image/ind2gray.m, scripts/image/lines.m,
scripts/image/rgb2ind.m, scripts/image/spinmap.m, scripts/io/dlmwrite.m,
scripts/io/strread.m, scripts/io/textread.m, scripts/io/textscan.m,
scripts/java/javaclasspath.m, scripts/java/usejava.m,
scripts/miscellaneous/bzip2.m, scripts/miscellaneous/computer.m,
scripts/miscellaneous/copyfile.m, scripts/miscellaneous/debug.m,
scripts/miscellaneous/dos.m, scripts/miscellaneous/edit.m,
scripts/miscellaneous/gzip.m, scripts/miscellaneous/license.m,
scripts/miscellaneous/mkoctfile.m, scripts/miscellaneous/movefile.m,
scripts/miscellaneous/parseparams.m, scripts/miscellaneous/unix.m,
scripts/optimization/fminbnd.m, scripts/optimization/fminsearch.m,
scripts/optimization/fminunc.m, scripts/optimization/fsolve.m,
scripts/optimization/fzero.m, scripts/optimization/glpk.m,
scripts/optimization/lsqnonneg.m, scripts/optimization/optimset.m,
scripts/optimization/pqpnonneg.m, scripts/pkg/pkg.m, scripts/plot/allchild.m,
scripts/plot/ancestor.m, scripts/plot/area.m, scripts/plot/axis.m,
scripts/plot/bar.m, scripts/plot/barh.m, scripts/plot/box.m,
scripts/plot/caxis.m, scripts/plot/cla.m, scripts/plot/clabel.m,
scripts/plot/clf.m, scripts/plot/close.m, scripts/plot/colorbar.m,
scripts/plot/daspect.m, scripts/plot/ezmesh.m, scripts/plot/ezmeshc.m,
scripts/plot/ezsurf.m, scripts/plot/ezsurfc.m, scripts/plot/findall.m,
scripts/plot/findobj.m, scripts/plot/gcbo.m, scripts/plot/gcf.m,
scripts/plot/gco.m, scripts/plot/grid.m, scripts/plot/guihandles.m,
scripts/plot/hdl2struct.m, scripts/plot/hidden.m, scripts/plot/hold.m,
scripts/plot/isonormals.m, scripts/plot/isosurface.m, scripts/plot/legend.m,
scripts/plot/mesh.m, scripts/plot/meshc.m, scripts/plot/meshz.m,
scripts/plot/newplot.m, scripts/plot/orient.m, scripts/plot/pareto.m,
scripts/plot/patch.m, scripts/plot/pbaspect.m, scripts/plot/pcolor.m,
scripts/plot/plot.m, scripts/plot/print.m,
scripts/plot/private/__add_default_menu__.m, scripts/plot/quiver.m,
scripts/plot/quiver3.m, scripts/plot/refreshdata.m, scripts/plot/saveas.m,
scripts/plot/scatter.m, scripts/plot/scatter3.m, scripts/plot/shading.m,
scripts/plot/shrinkfaces.m, scripts/plot/slice.m, scripts/plot/stem.m,
scripts/plot/stem3.m, scripts/plot/struct2hdl.m, scripts/plot/subplot.m,
scripts/plot/surf.m, scripts/plot/surfc.m, scripts/plot/surfl.m,
scripts/plot/tetramesh.m, scripts/plot/uigetfile.m, scripts/plot/uimenu.m,
scripts/plot/uiputfile.m, scripts/plot/waterfall.m, scripts/plot/whitebg.m,
scripts/plot/xlim.m, scripts/plot/ylim.m, scripts/plot/zlim.m,
scripts/polynomial/conv.m, scripts/polynomial/polyout.m,
scripts/polynomial/splinefit.m, scripts/set/ismember.m, scripts/set/powerset.m,
scripts/set/setdiff.m, scripts/set/union.m, scripts/set/unique.m,
scripts/signal/detrend.m, scripts/signal/filter2.m, scripts/signal/freqz.m,
scripts/signal/periodogram.m, scripts/signal/spectral_adf.m,
scripts/signal/spectral_xdf.m, scripts/sparse/eigs.m, scripts/sparse/svds.m,
scripts/specfun/legendre.m, scripts/special-matrix/gallery.m,
scripts/statistics/base/mean.m, scripts/statistics/base/moment.m,
scripts/statistics/tests/cor_test.m,
scripts/statistics/tests/kolmogorov_smirnov_test.m,
scripts/statistics/tests/kolmogorov_smirnov_test_2.m,
scripts/statistics/tests/kruskal_wallis_test.m,
scripts/statistics/tests/prop_test_2.m, scripts/statistics/tests/sign_test.m,
scripts/statistics/tests/t_test.m, scripts/statistics/tests/t_test_2.m,
scripts/statistics/tests/t_test_regression.m,
scripts/statistics/tests/u_test.m, scripts/statistics/tests/var_test.m,
scripts/statistics/tests/welch_test.m,
scripts/statistics/tests/wilcoxon_test.m, scripts/statistics/tests/z_test.m,
scripts/statistics/tests/z_test_2.m, scripts/strings/base2dec.m,
scripts/strings/index.m, scripts/strings/isstrprop.m,
scripts/strings/mat2str.m, scripts/strings/regexptranslate.m,
scripts/strings/rindex.m, scripts/strings/str2num.m, scripts/strings/strcat.m,
scripts/strings/strjust.m, scripts/strings/strmatch.m,
scripts/strings/validatestring.m, scripts/testfun/demo.m,
scripts/testfun/example.m, scripts/testfun/test.m, scripts/time/addtodate.m,
scripts/time/asctime.m, scripts/time/datestr.m, scripts/time/datetick.m,
scripts/time/weekday.m, scripts/ui/errordlg.m, scripts/ui/helpdlg.m,
scripts/ui/inputdlg.m, scripts/ui/listdlg.m, scripts/ui/msgbox.m,
scripts/ui/questdlg.m, scripts/ui/warndlg.m: Use new @qcode macro.
author | Rik <rik@octave.org> |
---|---|
date | Mon, 19 Aug 2013 20:46:38 -0700 |
parents | 486c3e2731ff |
children | d63878346099 |
rev | line source |
---|---|
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1 ## Copyright (C) 2007-2012 David Bateman |
6702 | 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 | |
7016 | 7 ## the Free Software Foundation; either version 3 of the License, or (at |
8 ## your option) any later version. | |
6702 | 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 | |
7016 | 16 ## along with Octave; see the file COPYING. If not, see |
17 ## <http://www.gnu.org/licenses/>. | |
6702 | 18 |
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{}) |
6702 | 21 ## @deftypefnx {Function File} {@var{vi} =} interpn (@var{v}, @var{y1}, @var{y2}, @dots{}) |
22 ## @deftypefnx {Function File} {@var{vi} =} interpn (@var{v}, @var{m}) | |
23 ## @deftypefnx {Function File} {@var{vi} =} interpn (@var{v}) | |
24 ## @deftypefnx {Function File} {@var{vi} =} interpn (@dots{}, @var{method}) | |
25 ## @deftypefnx {Function File} {@var{vi} =} interpn (@dots{}, @var{method}, @var{extrapval}) | |
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 @qcode{"ndgrid"} format or vectors. The parameters @var{y1}, etc. |
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33 ## respect a similar format to @var{x1}, etc., and they represent the points |
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34 ## at which the array @var{vi} is interpolated. |
6702 | 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 |
6702 | 40 ## specified, then @var{m} is assumed to be @code{1}. |
41 ## | |
42 ## Method is one of: | |
43 ## | |
44 ## @table @asis | |
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45 ## @item @qcode{"nearest"} |
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46 ## Return the nearest neighbor. |
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47 ## |
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48 ## @item @qcode{"linear"} |
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49 ## Linear interpolation from nearest neighbors. |
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50 ## |
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51 ## @item @qcode{"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 @qcode{"spline"} |
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55 ## Cubic spline interpolation---smooth first and second derivatives |
6702 | 56 ## throughout the curve. |
57 ## @end table | |
58 ## | |
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59 ## The default method is @qcode{"linear"}. |
6702 | 60 ## |
8116 | 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, |
8116 | 63 ## assume NA. |
6702 | 64 ## @seealso{interp1, interp2, spline, ndgrid} |
65 ## @end deftypefn | |
66 | |
67 function vi = interpn (varargin) | |
68 | |
69 method = "linear"; | |
6742 | 70 extrapval = NA; |
6702 | 71 nargs = nargin; |
72 | |
13151 | 73 if (nargin < 1 || ! isnumeric (varargin{1})) |
6702 | 74 print_usage (); |
75 endif | |
76 | |
7208 | 77 if (ischar (varargin{end})) |
78 method = varargin{end}; | |
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79 nargs -= 1; |
13151 | 80 elseif (nargs > 1 && ischar (varargin{end - 1})) |
7208 | 81 if (! isnumeric (varargin{end}) || ! isscalar (varargin{end})) |
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82 error ("interpn: extrapal is expected to be a numeric scalar"); |
6702 | 83 endif |
7208 | 84 method = varargin{end - 1}; |
8116 | 85 extrapval = varargin{end}; |
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86 nargs -= 2; |
6702 | 87 endif |
88 | |
89 if (nargs < 3) | |
7208 | 90 v = varargin{1}; |
6702 | 91 m = 1; |
92 if (nargs == 2) | |
13151 | 93 if (ischar (varargin{2})) |
94 method = varargin{2}; | |
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95 elseif (isnumeric (m) && isscalar (m) && fix (m) == m) |
13151 | 96 m = varargin{2}; |
97 else | |
98 print_usage (); | |
6702 | 99 endif |
100 endif | |
101 sz = size (v); | |
102 nd = ndims (v); | |
103 x = cell (1, nd); | |
104 y = cell (1, nd); | |
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105 for i = 1 : nd |
6702 | 106 x{i} = 1 : sz(i); |
107 y{i} = 1 : (1 / (2 ^ m)) : sz(i); | |
108 endfor | |
13151 | 109 y{1} = y{1}.'; |
110 [y{:}] = ndgrid (y{:}); | |
7208 | 111 elseif (! isvector (varargin{1}) && nargs == (ndims (varargin{1}) + 1)) |
112 v = varargin{1}; | |
6702 | 113 sz = size (v); |
114 nd = ndims (v); | |
115 x = cell (1, nd); | |
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116 y = varargin(2 : nargs); |
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117 for i = 1 : nd |
6702 | 118 x{i} = 1 : sz(i); |
119 endfor | |
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120 elseif (rem (nargs, 2) == 1 |
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121 && nargs == (2 * ndims (varargin{ceil (nargs / 2)})) + 1) |
6702 | 122 nv = ceil (nargs / 2); |
7208 | 123 v = varargin{nv}; |
6702 | 124 sz = size (v); |
125 nd = ndims (v); | |
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126 x = varargin(1 : (nv - 1)); |
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127 y = varargin((nv + 1) : nargs); |
6702 | 128 else |
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129 error ("interpn: wrong number or incorrectly formatted input arguments"); |
6702 | 130 endif |
131 | |
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132 if (any (! cellfun ("isvector", x))) |
6702 | 133 for i = 2 : nd |
134 if (! size_equal (x{1}, x{i}) || ! size_equal (x{i}, v)) | |
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135 error ("interpn: dimensional mismatch"); |
6702 | 136 endif |
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137 idx(1 : nd) = {1}; |
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138 idx(i) = ":"; |
6721 | 139 x{i} = x{i}(idx{:})(:); |
6702 | 140 endfor |
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141 idx(1 : nd) = {1}; |
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142 idx(1) = ":"; |
6721 | 143 x{1} = x{1}(idx{:})(:); |
6702 | 144 endif |
145 | |
7421 | 146 method = tolower (method); |
6702 | 147 |
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148 all_vectors = all (cellfun ("isvector", y)); |
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149 different_lengths = numel (unique (cellfun ("numel", y))) > 1; |
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150 if (all_vectors && different_lengths) |
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151 [foobar(1:numel(y)).y] = ndgrid (y{:}); |
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152 y = {foobar.y}; |
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153 endif |
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154 |
6702 | 155 if (strcmp (method, "linear")) |
156 vi = __lin_interpn__ (x{:}, v, y{:}); | |
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157 vi(isna (vi)) = extrapval; |
6702 | 158 elseif (strcmp (method, "nearest")) |
159 yshape = size (y{1}); | |
160 yidx = cell (1, nd); | |
161 for i = 1 : nd | |
162 y{i} = y{i}(:); | |
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163 yidx{i} = lookup (x{i}, y{i}, "lr"); |
6702 | 164 endfor |
165 idx = cell (1,nd); | |
166 for i = 1 : nd | |
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167 idx{i} = yidx{i} + (y{i} - x{i}(yidx{i})(:) >= x{i}(yidx{i} + 1)(:) - y{i}); |
6702 | 168 endfor |
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169 vi = v(sub2ind (sz, idx{:})); |
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170 idx = zeros (prod (yshape), 1); |
6702 | 171 for i = 1 : nd |
172 idx |= y{i} < min (x{i}(:)) | y{i} > max (x{i}(:)); | |
173 endfor | |
174 vi(idx) = extrapval; | |
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175 vi = reshape (vi, yshape); |
6721 | 176 elseif (strcmp (method, "spline")) |
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177 if (any (! cellfun ("isvector", y))) |
7423 | 178 for i = 2 : nd |
10549 | 179 if (! size_equal (y{1}, y{i})) |
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180 error ("interpn: dimensional mismatch"); |
10549 | 181 endif |
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182 idx(1 : nd) = {1}; |
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183 idx(i) = ":"; |
10549 | 184 y{i} = y{i}(idx{:}); |
7423 | 185 endfor |
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186 idx(1 : nd) = {1}; |
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187 idx(1) = ":"; |
7423 | 188 y{1} = y{1}(idx{:}); |
189 endif | |
7421 | 190 |
6702 | 191 vi = __splinen__ (x, v, y, extrapval, "interpn"); |
7421 | 192 |
7423 | 193 if (size_equal (y{:})) |
194 ly = length (y{1}); | |
195 idx = cell (1, ly); | |
196 q = cell (1, nd); | |
197 for i = 1 : ly | |
10549 | 198 q(:) = i; |
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199 idx{i} = q; |
7423 | 200 endfor |
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201 vi = vi(cellfun (@(x) sub2ind (size (vi), x{:}), idx)); |
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202 vi = reshape (vi, size (y{1})); |
7423 | 203 endif |
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204 elseif (strcmp (method, "cubic")) |
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205 error ("interpn: cubic interpolation not yet implemented"); |
6702 | 206 else |
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207 error ("interpn: unrecognized interpolation METHOD"); |
6702 | 208 endif |
209 | |
210 endfunction | |
211 | |
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212 |
6702 | 213 %!demo |
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214 %! clf; |
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215 %! colormap ("default"); |
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216 %! A = [13,-1,12;5,4,3;1,6,2]; |
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217 %! x = [0,1,4]; y = [10,11,12]; |
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218 %! xi = linspace (min (x), max (x), 17); |
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219 %! yi = linspace (min (y), max (y), 26)'; |
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220 %! mesh (xi, yi, interpn (x,y,A.',xi,yi, "linear").'); |
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221 %! [x,y] = meshgrid (x,y); |
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222 %! hold on; plot3 (x(:),y(:),A(:),"b*"); hold off; |
6702 | 223 |
224 %!demo | |
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225 %! clf; |
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226 %! colormap ("default"); |
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227 %! A = [13,-1,12;5,4,3;1,6,2]; |
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228 %! x = [0,1,4]; y = [10,11,12]; |
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229 %! xi = linspace (min (x), max (x), 17); |
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230 %! yi = linspace (min (y), max (y), 26)'; |
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231 %! mesh (xi, yi, interpn (x,y,A.',xi,yi, "nearest").'); |
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232 %! [x,y] = meshgrid (x,y); |
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233 %! hold on; plot3 (x(:),y(:),A(:),"b*"); hold off; |
6702 | 234 |
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235 %!#demo # FIXME: Uncomment when support for "cubic" has been added |
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236 %! clf; |
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237 %! colormap ("default"); |
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238 %! A = [13,-1,12;5,4,3;1,6,2]; |
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239 %! x = [0,1,2]; y = [10,11,12]; |
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240 %! xi = linspace (min (x), max (x), 17); |
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241 %! yi = linspace (min (y), max (y), 26)'; |
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242 %! mesh (xi, yi, interpn (x,y,A.',xi,yi, "cubic").'); |
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243 %! [x,y] = meshgrid (x,y); |
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244 %! hold on; plot3 (x(:),y(:),A(:),"b*"); hold off; |
6702 | 245 |
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; |
6721 | 256 |
257 %!demo | |
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258 %! clf; |
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259 %! colormap ("default"); |
6721 | 260 %! x = y = z = -1:1; |
261 %! f = @(x,y,z) x.^2 - y - z.^2; | |
262 %! [xx, yy, zz] = meshgrid (x, y, z); | |
263 %! v = f (xx,yy,zz); | |
264 %! xi = yi = zi = -1:0.1:1; | |
265 %! [xxi, yyi, zzi] = ndgrid (xi, yi, zi); | |
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266 %! vi = interpn (x, y, z, v, xxi, yyi, zzi, "spline"); |
6721 | 267 %! mesh (yi, zi, squeeze (vi(1,:,:))); |
268 | |
7421 | 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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279 %!test |
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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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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 |
13151 | 304 %! z = zeros (3, 3, 3); |
305 %! zout = zeros (5, 5, 5); | |
306 %! z(:,:,1) = [1 3 5; 3 5 7; 5 7 9]; | |
307 %! z(:,:,2) = z(:,:,1) + 2; | |
308 %! z(:,:,3) = z(:,:,2) + 2; | |
309 %! for n = 1:5 | |
310 %! zout(:,:,n) = [1 2 3 4 5; | |
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311 %! 2 3 4 5 6; |
13151 | 312 %! 3 4 5 6 7; |
313 %! 4 5 6 7 8; | |
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 |