Mercurial > octave-nkf
annotate scripts/general/interp3.m @ 19627:446c46af4b42 stable
strip trailing whitespace from most source files
* Makefile.am, NEWS, build-aux/common.mk, configure.ac,
doc/Makefile.am, doc/doxyhtml/Makefile.am,
doc/interpreter/Makefile.am, doc/interpreter/arith.txi,
doc/interpreter/audio.txi, doc/interpreter/basics.txi,
doc/interpreter/bugs.txi, doc/interpreter/container.txi,
doc/interpreter/cp-idx.txi, doc/interpreter/data.txi,
doc/interpreter/debug.txi, doc/interpreter/diagperm.txi,
doc/interpreter/diffeq.txi, doc/interpreter/doccheck/README,
doc/interpreter/doccheck/spellcheck, doc/interpreter/emacs.txi,
doc/interpreter/errors.txi, doc/interpreter/eval.txi,
doc/interpreter/expr.txi, doc/interpreter/external.txi,
doc/interpreter/fn-idx.txi, doc/interpreter/func.txi,
doc/interpreter/geometry.txi, doc/interpreter/geometryimages.m,
doc/interpreter/gpl.txi, doc/interpreter/grammar.txi,
doc/interpreter/gui.txi, doc/interpreter/image.txi,
doc/interpreter/install.txi, doc/interpreter/interp.txi,
doc/interpreter/interpimages.m, doc/interpreter/intro.txi,
doc/interpreter/io.txi, doc/interpreter/java.txi,
doc/interpreter/linalg.txi, doc/interpreter/macros.texi,
doc/interpreter/matrix.txi, doc/interpreter/munge-texi.pl,
doc/interpreter/nonlin.txi, doc/interpreter/numbers.txi,
doc/interpreter/obsolete.txi, doc/interpreter/octave-config.1,
doc/interpreter/octave.texi, doc/interpreter/oop.txi,
doc/interpreter/op-idx.txi, doc/interpreter/optim.txi,
doc/interpreter/package.txi, doc/interpreter/plot.txi,
doc/interpreter/poly.txi, doc/interpreter/preface.txi,
doc/interpreter/quad.txi, doc/interpreter/set.txi,
doc/interpreter/signal.txi, doc/interpreter/sparse.txi,
doc/interpreter/sparseimages.m, doc/interpreter/splineimages.m,
doc/interpreter/stats.txi, doc/interpreter/stmt.txi,
doc/interpreter/strings.txi, doc/interpreter/system.txi,
doc/interpreter/testfun.txi, doc/interpreter/tips.txi,
doc/interpreter/var.txi, doc/interpreter/vectorize.txi,
doc/liboctave/Makefile.am, doc/liboctave/array.texi,
doc/liboctave/bugs.texi, doc/liboctave/cp-idx.texi,
doc/liboctave/dae.texi, doc/liboctave/diffeq.texi,
doc/liboctave/error.texi, doc/liboctave/factor.texi,
doc/liboctave/fn-idx.texi, doc/liboctave/gpl.texi,
doc/liboctave/install.texi, doc/liboctave/intro.texi,
doc/liboctave/liboctave.texi, doc/liboctave/matvec.texi,
doc/liboctave/nleqn.texi, doc/liboctave/nlfunc.texi,
doc/liboctave/ode.texi, doc/liboctave/optim.texi,
doc/liboctave/preface.texi, doc/liboctave/quad.texi,
doc/liboctave/range.texi, doc/refcard/Makefile.am,
doc/refcard/refcard.tex, etc/HACKING, etc/NEWS.1, etc/NEWS.2,
etc/NEWS.3, etc/OLD-ChangeLogs/ChangeLog,
etc/OLD-ChangeLogs/doc-ChangeLog,
etc/OLD-ChangeLogs/scripts-ChangeLog,
etc/OLD-ChangeLogs/src-ChangeLog, etc/OLD-ChangeLogs/test-ChangeLog,
etc/PROJECTS, etc/README.Cygwin, etc/README.MacOS, etc/README.MinGW,
etc/README.gnuplot, etc/gdbinit, etc/icons/Makefile.am,
examples/@polynomial/end.m, examples/@polynomial/subsasgn.m,
examples/Makefile.am, examples/standalonebuiltin.cc,
libgui/Makefile.am, libgui/qterminal/libqterminal/README,
libgui/qterminal/libqterminal/unix/BlockArray.cpp,
libgui/qterminal/libqterminal/unix/BlockArray.h,
libgui/qterminal/libqterminal/unix/Character.h,
libgui/qterminal/libqterminal/unix/CharacterColor.h,
libgui/qterminal/libqterminal/unix/Emulation.cpp,
libgui/qterminal/libqterminal/unix/Emulation.h,
libgui/qterminal/libqterminal/unix/Filter.cpp,
libgui/qterminal/libqterminal/unix/Filter.h,
libgui/qterminal/libqterminal/unix/History.cpp,
libgui/qterminal/libqterminal/unix/History.h,
libgui/qterminal/libqterminal/unix/KeyboardTranslator.cpp,
libgui/qterminal/libqterminal/unix/KeyboardTranslator.h,
libgui/qterminal/libqterminal/unix/LineFont.h,
libgui/qterminal/libqterminal/unix/QUnixTerminalImpl.cpp,
libgui/qterminal/libqterminal/unix/QUnixTerminalImpl.h,
libgui/qterminal/libqterminal/unix/Screen.cpp,
libgui/qterminal/libqterminal/unix/Screen.h,
libgui/qterminal/libqterminal/unix/ScreenWindow.cpp,
libgui/qterminal/libqterminal/unix/ScreenWindow.h,
libgui/qterminal/libqterminal/unix/TerminalCharacterDecoder.cpp,
libgui/qterminal/libqterminal/unix/TerminalCharacterDecoder.h,
libgui/qterminal/libqterminal/unix/Vt102Emulation.h,
libgui/qterminal/libqterminal/win32/QWinTerminalImpl.cpp,
libgui/qterminal/qterminal/main.cpp,
libgui/src/m-editor/file-editor-tab.cc, libgui/src/octave-gui.cc,
libgui/src/octave-qt-link.cc, libinterp/corefcn/data.cc,
libinterp/corefcn/defun-int.h, libinterp/corefcn/det.cc,
libinterp/corefcn/gl2ps-renderer.cc, libinterp/corefcn/graphics.cc,
libinterp/corefcn/graphics.in.h, libinterp/corefcn/ls-mat5.cc,
libinterp/corefcn/lu.cc, libinterp/corefcn/oct-tex-parser.yy,
libinterp/corefcn/oct-tex-symbols.in, libinterp/corefcn/quadcc.cc,
libinterp/corefcn/zfstream.cc, libinterp/dldfcn/__eigs__.cc,
libinterp/dldfcn/__voronoi__.cc, libinterp/gendoc.pl,
libinterp/genprops.awk, libinterp/mk-errno-list, libinterp/mk-pkg-add,
libinterp/mkbuiltins, libinterp/mkdefs, libinterp/mkdocs,
libinterp/mkops, libinterp/octave-value/ov-java.cc,
libinterp/parse-tree/lex.ll, libinterp/parse-tree/oct-parse.in.yy,
libinterp/parse-tree/octave.gperf, liboctave/Makefile.am,
liboctave/array/Array.cc, liboctave/array/module.mk,
liboctave/cruft/daspk/datv.f, liboctave/cruft/daspk/dcnst0.f,
liboctave/cruft/daspk/dcnstr.f, liboctave/cruft/daspk/ddasic.f,
liboctave/cruft/daspk/ddasid.f, liboctave/cruft/daspk/ddasik.f,
liboctave/cruft/daspk/ddaspk.f, liboctave/cruft/daspk/ddstp.f,
liboctave/cruft/daspk/ddwnrm.f, liboctave/cruft/daspk/dfnrmd.f,
liboctave/cruft/daspk/dfnrmk.f, liboctave/cruft/daspk/dhels.f,
liboctave/cruft/daspk/dheqr.f, liboctave/cruft/daspk/dinvwt.f,
liboctave/cruft/daspk/dlinsd.f, liboctave/cruft/daspk/dlinsk.f,
liboctave/cruft/daspk/dmatd.f, liboctave/cruft/daspk/dnedd.f,
liboctave/cruft/daspk/dnedk.f, liboctave/cruft/daspk/dnsd.f,
liboctave/cruft/daspk/dnsid.f, liboctave/cruft/daspk/dnsik.f,
liboctave/cruft/daspk/dnsk.f, liboctave/cruft/daspk/dorth.f,
liboctave/cruft/daspk/dslvd.f, liboctave/cruft/daspk/dslvk.f,
liboctave/cruft/daspk/dspigm.f, liboctave/cruft/daspk/dyypnw.f,
liboctave/cruft/dasrt/ddasrt.f, liboctave/cruft/dasrt/drchek.f,
liboctave/cruft/dassl/ddaslv.f, liboctave/cruft/dassl/ddassl.f,
liboctave/cruft/misc/blaswrap.c, liboctave/cruft/misc/module.mk,
liboctave/cruft/odepack/cfode.f, liboctave/cruft/odepack/dlsode.f,
liboctave/cruft/odepack/ewset.f, liboctave/cruft/odepack/intdy.f,
liboctave/cruft/odepack/prepj.f, liboctave/cruft/odepack/sintdy.f,
liboctave/cruft/odepack/slsode.f, liboctave/cruft/odepack/solsy.f,
liboctave/cruft/odepack/ssolsy.f, liboctave/cruft/odepack/stode.f,
liboctave/cruft/odepack/vnorm.f, liboctave/cruft/ranlib/Basegen.doc,
liboctave/cruft/ranlib/README, liboctave/cruft/ranlib/genbet.f,
liboctave/cruft/ranlib/genexp.f, liboctave/cruft/ranlib/gennch.f,
liboctave/cruft/ranlib/gennf.f, liboctave/cruft/ranlib/gennor.f,
liboctave/cruft/ranlib/getsd.f, liboctave/cruft/ranlib/initgn.f,
liboctave/cruft/ranlib/phrtsd.f, liboctave/cruft/ranlib/randlib.fdoc,
liboctave/cruft/ranlib/setsd.f, liboctave/cruft/ranlib/tstgmn.for,
liboctave/cruft/ranlib/tstmid.for, liboctave/cruft/slatec-fn/atanh.f,
liboctave/cruft/slatec-fn/datanh.f,
liboctave/cruft/slatec-fn/xgmainc.f,
liboctave/cruft/slatec-fn/xsgmainc.f, liboctave/numeric/module.mk,
liboctave/operators/mk-ops.awk, liboctave/operators/mx-ops,
liboctave/operators/sparse-mk-ops.awk,
liboctave/operators/sparse-mx-ops, liboctave/operators/vx-ops,
liboctave/util/module.mk, run-octave.in, scripts/@ftp/ftp.m,
scripts/audio/wavread.m, scripts/deprecated/java_convert_matrix.m,
scripts/deprecated/java_debug.m, scripts/deprecated/java_invoke.m,
scripts/deprecated/java_new.m,
scripts/deprecated/java_unsigned_conversion.m,
scripts/deprecated/javafields.m, scripts/deprecated/javamethods.m,
scripts/deprecated/shell_cmd.m, scripts/general/accumarray.m,
scripts/general/display.m, scripts/general/fieldnames.m,
scripts/general/interp1.m, scripts/general/interp2.m,
scripts/general/interp3.m, scripts/general/isa.m,
scripts/general/methods.m, scripts/general/sortrows.m,
scripts/geometry/convhull.m, scripts/geometry/delaunay.m,
scripts/geometry/delaunay3.m, scripts/geometry/delaunayn.m,
scripts/geometry/griddata.m, scripts/geometry/griddatan.m,
scripts/geometry/voronoi.m, scripts/geometry/voronoin.m,
scripts/gui/guihandles.m, scripts/gui/inputdlg.m,
scripts/gui/listdlg.m, scripts/gui/msgbox.m, scripts/gui/questdlg.m,
scripts/gui/uigetfile.m, scripts/gui/waitbar.m, scripts/gui/warndlg.m,
scripts/help/doc.m, scripts/help/help.m, scripts/help/type.m,
scripts/image/bone.m, scripts/image/cmpermute.m,
scripts/image/cmunique.m, scripts/image/colorcube.m,
scripts/image/colormap.m, scripts/image/contrast.m,
scripts/image/gray2ind.m, scripts/image/image.m,
scripts/image/imshow.m, scripts/image/ind2gray.m, scripts/image/jet.m,
scripts/image/rgb2ntsc.m, scripts/image/spinmap.m,
scripts/io/importdata.m, scripts/io/strread.m, scripts/io/textread.m,
scripts/io/textscan.m, scripts/java/java_get.m,
scripts/java/java_set.m, scripts/java/javaaddpath.m,
scripts/java/javaclasspath.m, scripts/java/javamem.m,
scripts/linear-algebra/linsolve.m, scripts/linear-algebra/qzhess.m,
scripts/miscellaneous/debug.m, scripts/miscellaneous/desktop.m,
scripts/miscellaneous/dir.m, scripts/miscellaneous/dos.m,
scripts/miscellaneous/edit.m, scripts/miscellaneous/fact.m,
scripts/miscellaneous/getappdata.m, scripts/miscellaneous/inputname.m,
scripts/miscellaneous/license.m, scripts/miscellaneous/ls_command.m,
scripts/miscellaneous/run.m, scripts/miscellaneous/setfield.m,
scripts/miscellaneous/unix.m, scripts/miscellaneous/ver.m,
scripts/mk-pkg-add, scripts/mkdoc.pl,
scripts/optimization/fminsearch.m, scripts/optimization/optimset.m,
scripts/optimization/sqp.m, scripts/pkg/pkg.m,
scripts/pkg/private/create_pkgadddel.m,
scripts/pkg/private/fix_depends.m, scripts/pkg/private/install.m,
scripts/plot/appearance/axis.m, scripts/plot/appearance/box.m,
scripts/plot/appearance/clabel.m, scripts/plot/appearance/daspect.m,
scripts/plot/appearance/datetick.m, scripts/plot/appearance/grid.m,
scripts/plot/appearance/legend.m, scripts/plot/appearance/orient.m,
scripts/plot/appearance/shading.m, scripts/plot/appearance/text.m,
scripts/plot/appearance/title.m, scripts/plot/appearance/xlabel.m,
scripts/plot/appearance/ylabel.m, scripts/plot/appearance/zlabel.m,
scripts/plot/draw/area.m, scripts/plot/draw/bar.m,
scripts/plot/draw/barh.m, scripts/plot/draw/colorbar.m,
scripts/plot/draw/contour.m, scripts/plot/draw/contour3.m,
scripts/plot/draw/contourf.m, scripts/plot/draw/ellipsoid.m,
scripts/plot/draw/errorbar.m, scripts/plot/draw/ezcontour.m,
scripts/plot/draw/ezcontourf.m, scripts/plot/draw/ezmesh.m,
scripts/plot/draw/ezpolar.m, scripts/plot/draw/fill.m,
scripts/plot/draw/fplot.m, scripts/plot/draw/hist.m,
scripts/plot/draw/meshc.m, scripts/plot/draw/meshz.m,
scripts/plot/draw/pareto.m, scripts/plot/draw/patch.m,
scripts/plot/draw/peaks.m, scripts/plot/draw/pie.m,
scripts/plot/draw/pie3.m, scripts/plot/draw/plot.m,
scripts/plot/draw/plotyy.m, scripts/plot/draw/private/__bar__.m,
scripts/plot/draw/private/__contour__.m,
scripts/plot/draw/private/__errplot__.m,
scripts/plot/draw/private/__ezplot__.m,
scripts/plot/draw/private/__patch__.m,
scripts/plot/draw/private/__stem__.m, scripts/plot/draw/rectangle.m,
scripts/plot/draw/ribbon.m, scripts/plot/draw/rose.m,
scripts/plot/draw/scatter.m, scripts/plot/draw/scatter3.m,
scripts/plot/draw/semilogx.m, scripts/plot/draw/shrinkfaces.m,
scripts/plot/draw/sombrero.m, scripts/plot/draw/sphere.m,
scripts/plot/draw/stairs.m, scripts/plot/draw/stem.m,
scripts/plot/draw/stemleaf.m, scripts/plot/draw/surf.m,
scripts/plot/draw/surface.m, scripts/plot/draw/surfc.m,
scripts/plot/draw/surfl.m, scripts/plot/draw/surfnorm.m,
scripts/plot/draw/tetramesh.m, scripts/plot/draw/trimesh.m,
scripts/plot/draw/triplot.m, scripts/plot/draw/trisurf.m,
scripts/plot/util/__gnuplot_drawnow__.m,
scripts/plot/util/__plt_get_axis_arg__.m, scripts/plot/util/axes.m,
scripts/plot/util/clf.m, scripts/plot/util/copyobj.m,
scripts/plot/util/figure.m, scripts/plot/util/gcbo.m,
scripts/plot/util/graphics_toolkit.m, scripts/plot/util/hggroup.m,
scripts/plot/util/meshgrid.m, scripts/plot/util/newplot.m,
scripts/plot/util/print.m,
scripts/plot/util/private/__add_default_menu__.m,
scripts/plot/util/private/__fltk_print__.m,
scripts/plot/util/private/__gnuplot_print__.m,
scripts/plot/util/private/__print_parse_opts__.m,
scripts/plot/util/refreshdata.m, scripts/plot/util/subplot.m,
scripts/polynomial/conv.m, scripts/polynomial/poly.m,
scripts/polynomial/polyeig.m, scripts/polynomial/polyfit.m,
scripts/polynomial/polyval.m,
scripts/polynomial/private/__splinefit__.m,
scripts/polynomial/spline.m, scripts/prefs/prefdir.m,
scripts/prefs/preferences.m, scripts/prefs/private/prefsfile.m,
scripts/prefs/rmpref.m, scripts/signal/freqz.m,
scripts/signal/module.mk, scripts/sparse/eigs.m, scripts/sparse/pcg.m,
scripts/sparse/private/__sprand_impl__.m, scripts/sparse/sprand.m,
scripts/sparse/sprandn.m, scripts/sparse/spy.m, scripts/sparse/svds.m,
scripts/specfun/expint.m, scripts/specfun/factor.m,
scripts/special-matrix/gallery.m, scripts/special-matrix/hankel.m,
scripts/special-matrix/toeplitz.m, scripts/startup/inputrc,
scripts/statistics/base/kurtosis.m, scripts/statistics/base/moment.m,
scripts/statistics/base/qqplot.m, scripts/statistics/base/var.m,
scripts/statistics/distributions/betarnd.m,
scripts/statistics/distributions/binoinv.m,
scripts/statistics/distributions/binopdf.m,
scripts/statistics/distributions/binornd.m,
scripts/statistics/distributions/cauchy_rnd.m,
scripts/statistics/distributions/chi2rnd.m,
scripts/statistics/distributions/discrete_pdf.m,
scripts/statistics/distributions/discrete_rnd.m,
scripts/statistics/distributions/empirical_rnd.m,
scripts/statistics/distributions/exprnd.m,
scripts/statistics/distributions/frnd.m,
scripts/statistics/distributions/gamrnd.m,
scripts/statistics/distributions/geornd.m,
scripts/statistics/distributions/hygernd.m,
scripts/statistics/distributions/kolmogorov_smirnov_cdf.m,
scripts/statistics/distributions/laplace_cdf.m,
scripts/statistics/distributions/laplace_pdf.m,
scripts/statistics/distributions/logistic_cdf.m,
scripts/statistics/distributions/logistic_pdf.m,
scripts/statistics/distributions/lognrnd.m,
scripts/statistics/distributions/nbincdf.m,
scripts/statistics/distributions/nbininv.m,
scripts/statistics/distributions/nbinpdf.m,
scripts/statistics/distributions/nbinrnd.m,
scripts/statistics/distributions/normrnd.m,
scripts/statistics/distributions/poissinv.m,
scripts/statistics/distributions/poissrnd.m,
scripts/statistics/distributions/tinv.m,
scripts/statistics/distributions/trnd.m,
scripts/statistics/distributions/unidcdf.m,
scripts/statistics/distributions/unidpdf.m,
scripts/statistics/distributions/unidrnd.m,
scripts/statistics/distributions/unifrnd.m,
scripts/statistics/distributions/wblrnd.m,
scripts/statistics/models/module.mk,
scripts/statistics/tests/kruskal_wallis_test.m,
scripts/strings/base2dec.m, scripts/strings/deblank.m,
scripts/strings/dec2base.m, scripts/strings/dec2bin.m,
scripts/strings/dec2hex.m, scripts/strings/mat2str.m,
scripts/strings/ostrsplit.m, scripts/strings/regexptranslate.m,
scripts/strings/str2num.m, scripts/strings/strcat.m,
scripts/strings/strjoin.m, scripts/strings/strsplit.m,
scripts/strings/strtok.m, scripts/strings/strtrim.m,
scripts/strings/strtrunc.m, scripts/strings/substr.m,
scripts/testfun/__run_test_suite__.m, scripts/testfun/speed.m,
scripts/testfun/test.m, scripts/time/asctime.m,
scripts/time/datenum.m, scripts/time/datevec.m,
scripts/time/weekday.m, src/Makefile.am, test/Makefile.am,
test/build-bc-overload-tests.sh, test/build-sparse-tests.sh,
test/jit.tst, test/line-continue.tst: Strip trailing whitespace.
| author | John W. Eaton <jwe@octave.org> |
|---|---|
| date | Tue, 20 Jan 2015 08:26:57 -0500 |
| parents | d63878346099 |
| children | 0e1f5a750d00 |
| rev | line source |
|---|---|
|
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1 ## Copyright (C) 2007-2013 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} =} interp3 (@var{x}, @var{y}, @var{z}, @var{v}, @var{xi}, @var{yi}, @var{zi}) |
| 6702 | 21 ## @deftypefnx {Function File} {@var{vi} =} interp3 (@var{v}, @var{xi}, @var{yi}, @var{zi}) |
| 22 ## @deftypefnx {Function File} {@var{vi} =} interp3 (@var{v}, @var{m}) | |
| 23 ## @deftypefnx {Function File} {@var{vi} =} interp3 (@var{v}) | |
| 24 ## @deftypefnx {Function File} {@var{vi} =} interp3 (@dots{}, @var{method}) | |
| 25 ## @deftypefnx {Function File} {@var{vi} =} interp3 (@dots{}, @var{method}, @var{extrapval}) | |
| 26 ## | |
|
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27 ## Perform 3-dimensional interpolation. Each element of the 3-dimensional |
|
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28 ## array @var{v} represents a value at a location given by the parameters |
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29 ## @var{x}, @var{y}, and @var{z}. The parameters @var{x}, @var{x}, and |
|
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30 ## @var{z} are either 3-dimensional arrays of the same size as the array |
|
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31 ## @var{v} in the @qcode{"meshgrid"} format or vectors. The parameters |
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32 ## @var{xi}, etc. respect a similar format to @var{x}, etc., and they |
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33 ## represent the points at which the array @var{vi} is interpolated. |
| 6702 | 34 ## |
|
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35 ## If @var{x}, @var{y}, @var{z} are omitted, they are assumed to be |
| 6702 | 36 ## @code{x = 1 : size (@var{v}, 2)}, @code{y = 1 : size (@var{v}, 1)} and |
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37 ## @code{z = 1 : size (@var{v}, 3)}. 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 ## |
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61 ## If @var{extrap} is the string @qcode{"extrap"}, then extrapolate values |
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62 ## beyond the endpoints. If @var{extrap} is a number, replace values beyond |
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63 ## the endpoints with that number. If @var{extrap} is missing, assume NA. |
| 6702 | 64 ## @seealso{interp1, interp2, spline, meshgrid} |
| 65 ## @end deftypefn | |
| 66 | |
| 67 function vi = interp3 (varargin) | |
| 68 method = "linear"; | |
| 6742 | 69 extrapval = NA; |
| 6702 | 70 nargs = nargin; |
| 71 | |
| 13151 | 72 if (nargin < 1 || ! isnumeric (varargin{1})) |
| 6702 | 73 print_usage (); |
| 74 endif | |
| 75 | |
| 7174 | 76 if (ischar (varargin{end})) |
| 77 method = varargin{end}; | |
| 6702 | 78 nargs = nargs - 1; |
| 13151 | 79 elseif (nargs > 1 && ischar (varargin{end - 1})) |
| 7174 | 80 if (! isnumeric (varargin{end}) || ! isscalar (varargin{end})) |
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81 error ("interp3: extrapal is expected to be a numeric scalar"); |
| 6702 | 82 endif |
| 7174 | 83 extrapval = varargin{end}; |
| 84 method = varargin{end-1}; | |
| 6702 | 85 nargs = nargs - 2; |
| 86 endif | |
| 87 | |
| 7174 | 88 if (nargs < 3 || (nargs == 4 && ! isvector (varargin{1}) |
| 10549 | 89 && nargs == (ndims (varargin{1}) + 1))) |
| 7174 | 90 v = varargin{1}; |
| 6702 | 91 if (ndims (v) != 3) |
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92 error ("interp3: expect 3-dimensional array of values"); |
| 6702 | 93 endif |
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94 x = varargin (2:nargs); |
| 6722 | 95 if (any (! cellfun (@isvector, x))) |
| 96 for i = 2 : 3 | |
| 10549 | 97 if (! size_equal (x{1}, x{i})) |
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98 error ("interp3: dimensional mismatch"); |
| 10549 | 99 endif |
| 100 x{i} = permute (x{i}, [2, 1, 3]); | |
| 6722 | 101 endfor |
| 102 x{1} = permute (x{1}, [2, 1, 3]); | |
| 103 endif | |
| 104 v = permute (v, [2, 1, 3]); | |
| 105 vi = ipermute (interpn (v, x{:}, method, extrapval), [2, 1, 3]); | |
| 7174 | 106 elseif (nargs == 7 && nargs == (2 * ndims (varargin{ceil (nargs / 2)})) + 1) |
| 107 v = varargin{4}; | |
| 6702 | 108 if (ndims (v) != 3) |
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109 error ("interp3: expect 3-dimensional array of values"); |
| 6702 | 110 endif |
| 6722 | 111 x = varargin (1:3); |
| 112 if (any (! cellfun (@isvector, x))) | |
| 113 for i = 2 : 3 | |
| 10549 | 114 if (! size_equal (x{1}, x{i}) || ! size_equal (x{i}, v)) |
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115 error ("interp3: dimensional mismatch"); |
| 10549 | 116 endif |
| 117 x{i} = permute (x{i}, [2, 1, 3]); | |
| 6722 | 118 endfor |
| 119 x{1} = permute (x{1}, [2, 1, 3]); | |
| 120 endif | |
| 121 y = varargin (5:7); | |
| 122 if (any (! cellfun (@isvector, y))) | |
| 123 for i = 2 : 3 | |
| 10549 | 124 if (! size_equal (y{1}, y{i})) |
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125 error ("interp3: dimensional mismatch"); |
| 10549 | 126 endif |
| 127 y{i} = permute (y{i}, [2, 1, 3]); | |
| 6722 | 128 endfor |
| 129 y{1} = permute (y{1}, [2, 1, 3]); | |
| 130 endif | |
| 131 v = permute (v, [2, 1, 3]); | |
| 7174 | 132 vi = ipermute (interpn (x{:}, v, y{:}, method, extrapval), [2, 1, 3]); |
| 6702 | 133 else |
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134 error ("interp3: wrong number or incorrectly formatted input arguments"); |
| 6702 | 135 endif |
| 136 endfunction | |
| 137 | |
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138 |
| 6702 | 139 %!test |
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140 %! x = y = z = -1:1; y = y + 2; |
| 6702 | 141 %! f = @(x,y,z) x.^2 - y - z.^2; |
| 142 %! [xx, yy, zz] = meshgrid (x, y, z); | |
| 143 %! v = f (xx,yy,zz); | |
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144 %! xi = yi = zi = -1:0.5:1; yi = yi + 2.1; |
| 6702 | 145 %! [xxi, yyi, zzi] = meshgrid (xi, yi, zi); |
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146 %! vi = interp3 (x, y, z, v, xxi, yyi, zzi); |
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147 %! [xxi, yyi, zzi] = ndgrid (yi, xi, zi); |
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148 %! vi2 = interpn (y, x, z, v, xxi, yyi, zzi); |
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149 %! tol = 10 * eps; |
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150 %! assert (vi, vi2, tol); |
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151 |
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152 %!test |
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153 %! x=z=1:2; y=1:3;xi=zi=.6:1.6; yi=1; v=ones([3,2,2]); v(:,2,1)=[7 ;5;4]; v(:,1,2)=[2 ;3;5]; |
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154 %! [xxi3, yyi3, zzi3] = meshgrid (xi, yi, zi); |
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155 %! [xxi, yyi, zzi] = ndgrid (yi, xi, zi); |
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156 %! vi = interp3 (x, y, z, v, xxi3, yyi3, zzi3, "nearest"); |
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157 %! vi2 = interpn (y, x, z, v, xxi, yyi, zzi,"nearest"); |
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158 %! assert (vi, vi2); |
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159 |
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160 %!test |
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161 %! x=z=1:2; y=1:3;xi=zi=.6:1.6; yi=1; v=ones([3,2,2]); v(:,2,1)=[7 ;5;4]; v(:,1,2)=[2 ;3;5]; |
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162 %! vi = interp3 (x, y, z, v, xi+1, yi, zi, "nearest",3); |
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163 %! vi2 = interpn (y, x, z, v, yi, xi+1, zi,"nearest", 3); |
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164 %! assert (vi, vi2); |
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165 |
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166 %!test |
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167 %! x=z=1:2; y=1:3;xi=zi=.6:1.6; yi=1; v=ones([3,2,2]); v(:,2,1)=[7 ;5;4]; v(:,1,2)=[2 ;3;5]; |
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168 %! vi = interp3 (x, y, z, v, xi, yi, zi, "nearest"); |
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169 %! vi2 = interpn (y, x, z, v, yi, xi, zi,"nearest"); |
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170 %! assert (vi, vi2); |
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171 |
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172 %!test |
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173 %! x=z=1:2; y=1:3;xi=zi=.6:1.6; yi=1; v=ones([3,2,2]); v(:,2,1)=[7 ;5;4]; v(:,1,2)=[2 ;3;5]; |
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174 %! vi = interp3 (v, xi, yi, zi, "nearest",3); |
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175 %! vi2 = interpn (v, yi, xi, zi,"nearest", 3); |
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176 %! assert (vi, vi2); |
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177 |
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178 %!test |
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179 %! xi=zi=.6:1.6; yi=1; v=ones([3,2,2]); v(:,2,1)=[7 ;5;4]; v(:,1,2)=[2 ;3;5]; |
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180 %! vi = interp3 (v, xi, yi, zi, "nearest"); |
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181 %! vi2 = interpn (v, yi, xi, zi,"nearest"); |
| 6702 | 182 %! assert (vi, vi2); |
| 13151 | 183 |
| 184 %!shared z, zout, tol | |
| 185 %! z = zeros (3, 3, 3); | |
| 186 %! zout = zeros (5, 5, 5); | |
| 187 %! z(:,:,1) = [1 3 5; 3 5 7; 5 7 9]; | |
| 188 %! z(:,:,2) = z(:,:,1) + 2; | |
| 189 %! z(:,:,3) = z(:,:,2) + 2; | |
| 190 %! for n = 1:5 | |
| 191 %! zout(:,:,n) = [1 2 3 4 5; | |
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192 %! 2 3 4 5 6; |
| 13151 | 193 %! 3 4 5 6 7; |
| 194 %! 4 5 6 7 8; | |
| 195 %! 5 6 7 8 9] + (n-1); | |
| 196 %! end | |
| 197 %! tol = 10 * eps; | |
| 198 %!assert (interp3 (z), zout, tol) | |
| 199 %!assert (interp3 (z, "linear"), zout, tol) | |
| 200 %!assert (interp3 (z, "spline"), zout, tol) | |
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201 |