Mercurial > octave-nkf
view scripts/geometry/voronoi.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 | b5d6314314fc |
children | d63878346099 |
line wrap: on
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## Copyright (C) 2000-2012 Kai Habel ## ## This file is part of Octave. ## ## Octave is free software; you can redistribute it and/or modify it ## under the terms of the GNU General Public License as published by ## the Free Software Foundation; either version 3 of the License, or (at ## your option) any later version. ## ## Octave is distributed in the hope that it will be useful, but ## WITHOUT ANY WARRANTY; without even the implied warranty of ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU ## General Public License for more details. ## ## You should have received a copy of the GNU General Public License ## along with Octave; see the file COPYING. If not, see ## <http://www.gnu.org/licenses/>. ## -*- texinfo -*- ## @deftypefn {Function File} {} voronoi (@var{x}, @var{y}) ## @deftypefnx {Function File} {} voronoi (@var{x}, @var{y}, @var{options}) ## @deftypefnx {Function File} {} voronoi (@dots{}, "linespec") ## @deftypefnx {Function File} {} voronoi (@var{hax}, @dots{}) ## @deftypefnx {Function File} {@var{h} =} voronoi (@dots{}) ## @deftypefnx {Function File} {[@var{vx}, @var{vy}] =} voronoi (@dots{}) ## Plot the Voronoi diagram of points @code{(@var{x}, @var{y})}. ## The Voronoi facets with points at infinity are not drawn. ## ## If @qcode{"linespec"} is given it is used to set the color and line style ## of the plot. If an axis graphics handle @var{hax} is supplied then the ## Voronoi diagram is drawn on the specified axis rather than in a new ## figure. ## ## The @var{options} argument, which must be a string or cell array of strings, ## contains options passed to the underlying qhull command. ## See the documentation for the Qhull library for details ## @url{http://www.qhull.org/html/qh-quick.htm#options}. ## ## If a single output argument is requested then the Voronoi diagram will be ## plotted and a graphics handle @var{h} to the plot is returned. ## [@var{vx}, @var{vy}] = voronoi (@dots{}) returns the Voronoi vertices ## instead of plotting the diagram. ## ## @example ## @group ## x = rand (10, 1); ## y = rand (size (x)); ## h = convhull (x, y); ## [vx, vy] = voronoi (x, y); ## plot (vx, vy, "-b", x, y, "o", x(h), y(h), "-g"); ## legend ("", "points", "hull"); ## @end group ## @end example ## ## @seealso{voronoin, delaunay, convhull} ## @end deftypefn ## Author: Kai Habel <kai.habel@gmx.de> ## First Release: 20/08/2000 ## 2002-01-04 Paul Kienzle <pkienzle@users.sf.net> ## * limit the default graph to the input points rather than the whole diagram ## * provide example ## * use unique(x,"rows") rather than __unique_rows__ ## 2003-12-14 Rafael Laboissiere <rafael@laboissiere.net> ## Added optional fourth argument to pass options to the underlying ## qhull command function [vx, vy] = voronoi (varargin) if (nargin < 1) print_usage (); endif narg = 1; if (isscalar (varargin{1}) && ishandle (varargin{1})) hax = varargin{1}; if (! isaxes (harg)) error ("imagesc: HAX argument must be an axes object"); endif narg++; elseif (nargout < 2) hax = gca (); endif if (nargin < 1 + narg || nargin > 3 + narg) print_usage (); endif x = varargin{narg++}; y = varargin{narg++}; opts = {}; if (narg <= nargin) if (iscell (varargin{narg})) opts = varargin(narg++); elseif (isnumeric (varargin{narg})) ## Accept, but ignore, the triangulation narg++; endif endif linespec = {"b"}; if (narg <= nargin && ischar (varargin{narg})) linespec = varargin(narg); endif if (length (x) != length (y)) error ("voronoi: X and Y must be vectors of the same length"); endif ## Add box to approximate rays to infinity. For Voronoi diagrams the ## box can (and should) be close to the points themselves. To make the ## job of finding the exterior edges it should be at least two times the ## delta below however xmax = max (x(:)); xmin = min (x(:)); ymax = max (y(:)); ymin = min (y(:)); xdelta = xmax - xmin; ydelta = ymax - ymin; scale = 2; xbox = [xmin - scale * xdelta; xmin - scale * xdelta; ... xmax + scale * xdelta; xmax + scale * xdelta]; ybox = [ymin - scale * ydelta; ymax + scale * ydelta; ... ymax + scale * ydelta; ymin - scale * ydelta]; [p, c, infi] = __voronoi__ ("voronoi", [[x(:) ; xbox(:)], [y(:); ybox(:)]], opts{:}); c = c(! infi).'; ## Delete null entries which cause problems in next cellfun function c(cellfun ("isempty", c)) = []; edges = cell2mat (cellfun (@(x) [x ; [x(end), x(1:end-1)]], c, "uniformoutput", false)); ## Identify the unique edges of the Voronoi diagram edges = sortrows (sort (edges).').'; edges = edges(:, [(edges(1, 1 :end - 1) != edges(1, 2 : end) | ... edges(2, 1 :end - 1) != edges(2, 2 : end)), true]); ## Eliminate the edges of the diagram representing the box poutside = (1:rows (p)) ... (p(:, 1) < xmin - xdelta | p(:, 1) > xmax + xdelta | ... p(:, 2) < ymin - ydelta | p(:, 2) > ymax + ydelta); edgeoutside = ismember (edges(1, :), poutside) & ... ismember (edges(2, :), poutside); edges(:, edgeoutside) = []; ## Get points of the diagram Vvx = reshape (p(edges, 1), size (edges)); Vvy = reshape (p(edges, 2), size (edges)); if (nargout < 2) h = plot (hax, Vvx, Vvy, linespec{:}, x, y, '+'); lim = [xmin, xmax, ymin, ymax]; axis (lim + 0.1 * [[-1, 1] * xdelta, [-1, 1] * ydelta]); if (nargout == 1) vx = h; endif else vx = Vvx; vy = Vvy; endif endfunction %!demo %! voronoi (rand (10,1), rand (10,1)); %!testif HAVE_QHULL %! phi = linspace (-pi, 3/4*pi, 8); %! [x,y] = pol2cart (phi, 1); %! [vx,vy] = voronoi (x,y); %! assert (vx(2,:), zeros (1, columns (vx)), eps); %! assert (vy(2,:), zeros (1, columns (vy)), eps); %% FIXME: Need input validation tests