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annotate scripts/plot/draw/peaks.m @ 17572:7bb76a22cde1

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maint: Split scripts/plot directory into 4 pieces. scripts/gui : user-interface functions scripts/plot/appearance : functions controlling plot appearance scripts/plot/draw : plotting functions which produce graphs scripts/plot/util : low-level plotting functions and utilities. * scripts/gui/guidata.m, scripts/gui/guihandles.m, scripts/gui/module.mk, scripts/gui/private/__file_filter__.m, scripts/gui/private/__fltk_file_filter__.m, scripts/gui/private/__is_function__.m, scripts/gui/private/__uigetdir_fltk__.m, scripts/gui/private/__uigetfile_fltk__.m, scripts/gui/private/__uiobject_split_args__.m, scripts/gui/private/__uiputfile_fltk__.m, scripts/gui/uicontextmenu.m, scripts/gui/uicontrol.m, scripts/gui/uigetdir.m, scripts/gui/uigetfile.m, scripts/gui/uimenu.m, scripts/gui/uipanel.m, scripts/gui/uipushtool.m, scripts/gui/uiputfile.m, scripts/gui/uiresume.m, scripts/gui/uitoggletool.m, scripts/gui/uitoolbar.m, scripts/gui/uiwait.m, scripts/gui/waitbar.m, scripts/gui/waitforbuttonpress.m: Moved from scripts/plot to scripts/gui * scripts/plot/appearance/__clabel__.m, scripts/plot/appearance/__getlegenddata__.m, scripts/plot/appearance/axis.m, scripts/plot/appearance/box.m, scripts/plot/appearance/caxis.m, scripts/plot/appearance/clabel.m, scripts/plot/appearance/daspect.m, scripts/plot/appearance/diffuse.m, scripts/plot/appearance/grid.m, scripts/plot/appearance/gtext.m, scripts/plot/appearance/hidden.m, scripts/plot/appearance/legend.m, scripts/plot/appearance/orient.m, scripts/plot/appearance/pbaspect.m, scripts/plot/appearance/private/__axis_label__.m, scripts/plot/appearance/private/__axis_limits__.m, scripts/plot/appearance/shading.m, scripts/plot/appearance/specular.m, scripts/plot/appearance/text.m, scripts/plot/appearance/title.m, scripts/plot/appearance/view.m, scripts/plot/appearance/whitebg.m, scripts/plot/appearance/xlabel.m, scripts/plot/appearance/xlim.m, scripts/plot/appearance/ylabel.m, scripts/plot/appearance/ylim.m, scripts/plot/appearance/zlabel.m, scripts/plot/appearance/zlim.m: Moved from scripts/plot to subdir appearance. * scripts/plot/draw/area.m, scripts/plot/draw/bar.m, scripts/plot/draw/barh.m, scripts/plot/draw/colorbar.m, scripts/plot/draw/comet.m, scripts/plot/draw/comet3.m, scripts/plot/draw/compass.m, scripts/plot/draw/contour.m, scripts/plot/draw/contour3.m, scripts/plot/draw/contourc.m, scripts/plot/draw/contourf.m, scripts/plot/draw/cylinder.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/ezmeshc.m, scripts/plot/draw/ezplot.m, scripts/plot/draw/ezplot3.m, scripts/plot/draw/ezpolar.m, scripts/plot/draw/ezsurf.m, scripts/plot/draw/ezsurfc.m, scripts/plot/draw/feather.m, scripts/plot/draw/fill.m, scripts/plot/draw/fplot.m, scripts/plot/draw/hist.m, scripts/plot/draw/isocolors.m, scripts/plot/draw/isonormals.m, scripts/plot/draw/isosurface.m, scripts/plot/draw/line.m, scripts/plot/draw/loglog.m, scripts/plot/draw/loglogerr.m, scripts/plot/draw/mesh.m, scripts/plot/draw/meshc.m, scripts/plot/draw/meshz.m, scripts/plot/draw/pareto.m, scripts/plot/draw/patch.m, scripts/plot/draw/pcolor.m, scripts/plot/draw/peaks.m, scripts/plot/draw/pie.m, scripts/plot/draw/pie3.m, scripts/plot/draw/plot.m, scripts/plot/draw/plot3.m, scripts/plot/draw/plotmatrix.m, scripts/plot/draw/plotyy.m, scripts/plot/draw/polar.m, scripts/plot/draw/private/__add_datasource__.m, scripts/plot/draw/private/__bar__.m, scripts/plot/draw/private/__contour__.m, scripts/plot/draw/private/__errcomm__.m, scripts/plot/draw/private/__errplot__.m, scripts/plot/draw/private/__ezplot__.m, scripts/plot/draw/private/__interp_cube__.m, scripts/plot/draw/private/__line__.m, scripts/plot/draw/private/__marching_cube__.m, scripts/plot/draw/private/__patch__.m, scripts/plot/draw/private/__pie__.m, scripts/plot/draw/private/__plt__.m, scripts/plot/draw/private/__quiver__.m, scripts/plot/draw/private/__scatter__.m, scripts/plot/draw/private/__stem__.m, scripts/plot/draw/quiver.m, scripts/plot/draw/quiver3.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/semilogxerr.m, scripts/plot/draw/semilogy.m, scripts/plot/draw/semilogyerr.m, scripts/plot/draw/shrinkfaces.m, scripts/plot/draw/slice.m, scripts/plot/draw/sombrero.m, scripts/plot/draw/sphere.m, scripts/plot/draw/stairs.m, scripts/plot/draw/stem.m, scripts/plot/draw/stem3.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/draw/waterfall.m: Moved from plot/ to subdir draw. * scripts/plot/util/__actual_axis_position__.m, scripts/plot/util/__default_plot_options__.m, scripts/plot/util/__gnuplot_drawnow__.m, scripts/plot/util/__next_line_color__.m, scripts/plot/util/__next_line_style__.m, scripts/plot/util/__plt_get_axis_arg__.m, scripts/plot/util/__pltopt__.m, scripts/plot/util/allchild.m, scripts/plot/util/ancestor.m, scripts/plot/util/axes.m, scripts/plot/util/cla.m, scripts/plot/util/clf.m, scripts/plot/util/close.m, scripts/plot/util/closereq.m, scripts/plot/util/colstyle.m, scripts/plot/util/copyobj.m, scripts/plot/util/figure.m, scripts/plot/util/findall.m, scripts/plot/util/findfigs.m, scripts/plot/util/findobj.m, scripts/plot/util/gca.m, scripts/plot/util/gcbf.m, scripts/plot/util/gcbo.m, scripts/plot/util/gcf.m, scripts/plot/util/gco.m, scripts/plot/util/ginput.m, scripts/plot/util/gnuplot_binary.in, scripts/plot/util/graphics_toolkit.m, scripts/plot/util/hdl2struct.m, scripts/plot/util/hggroup.m, scripts/plot/util/hold.m, scripts/plot/util/isaxes.m, scripts/plot/util/isfigure.m, scripts/plot/util/ishghandle.m, scripts/plot/util/ishold.m, scripts/plot/util/isprop.m, scripts/plot/util/linkprop.m, scripts/plot/util/meshgrid.m, scripts/plot/util/ndgrid.m, scripts/plot/util/newplot.m, scripts/plot/util/print.m, scripts/plot/util/printd.m, scripts/plot/util/private/__add_default_menu__.m, scripts/plot/util/private/__fltk_ginput__.m, scripts/plot/util/private/__fltk_print__.m, scripts/plot/util/private/__ghostscript__.m, scripts/plot/util/private/__gnuplot_get_var__.m, scripts/plot/util/private/__gnuplot_ginput__.m, scripts/plot/util/private/__gnuplot_has_feature__.m, scripts/plot/util/private/__gnuplot_has_terminal__.m, scripts/plot/util/private/__gnuplot_open_stream__.m, scripts/plot/util/private/__gnuplot_print__.m, scripts/plot/util/private/__gnuplot_version__.m, scripts/plot/util/private/__go_draw_axes__.m, scripts/plot/util/private/__go_draw_figure__.m, scripts/plot/util/private/__print_parse_opts__.m, scripts/plot/util/private/__tight_eps_bbox__.m, scripts/plot/util/refresh.m, scripts/plot/util/refreshdata.m, scripts/plot/util/saveas.m, scripts/plot/util/shg.m, scripts/plot/util/struct2hdl.m, scripts/plot/util/subplot.m: Moved from plot to subdir util. * etc/HACKING: Updated directory structure info. * scripts/Makefile.am, scripts/plot/appearance/module.mk, scripts/plot/draw/module.mk, scripts/plot/util/module.mk: Added new directories to build system.
author Rik <rik@octave.org>
date Fri, 04 Oct 2013 17:09:08 -0700
parents scripts/plot/peaks.m@1c89599167a6
children d63878346099
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1 ## Copyright (C) 2007-2012 Paul Kienzle
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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} {} peaks ()
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21 ## @deftypefnx {Function File} {} peaks (@var{n})
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22 ## @deftypefnx {Function File} {} peaks (@var{x}, @var{y})
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23 ## @deftypefnx {Function File} {@var{z} =} peaks (@dots{})
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24 ## @deftypefnx {Function File} {[@var{x}, @var{y}, @var{z}] =} peaks (@dots{})
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25 ## Plot a function with lots of local maxima and minima.
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26 ##
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27 ## The function has the form
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28 ##
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29 ## @tex
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30 ## $$f(x,y) = 3 (1 - x) ^ 2 e ^ {\left(-x^2 - (y+1)^2\right)} - 10 \left({x \over 5} - x^3 - y^5)\right) - {1 \over 3} e^{\left(-(x+1)^2 - y^2\right)}$$
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31 ## @end tex
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32 ## @ifnottex
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33 ## @verbatim
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34 ## f(x,y) = 3*(1-x)^2*exp(-x^2 - (y+1)^2) ...
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35 ## - 10*(x/5 - x^3 - y^5)*exp(-x^2-y^2) ...
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36 ## - 1/3*exp(-(x+1)^2 - y^2)
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37 ## @end verbatim
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38 ## @end ifnottex
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39 ##
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40 ## Called without a return argument, @code{peaks} plots the surface of the
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41 ## above function using @code{surf}.
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42 ##
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43 ## If @var{n} is a scalar, @code{peaks} plots the value of the above
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44 ## function on an @var{n}-by-@var{n} mesh over the range [-3,3]. The
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45 ## default value for @var{n} is 49.
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46 ##
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47 ## If @var{n} is a vector, then it represents the grid values over which
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48 ## to calculate the function. If @var{x} and @var{y} are specified then
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49 ## the function value is calculated over the specified grid of vertices.
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50 ##
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51 ## When called with output arguments, return the data for the function
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52 ## evaluated over the meshgrid. This can subsequently be plotted with
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53 ## @code{surf (@var{x}, @var{y}, @var{z})}.
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54 ##
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55 ## @seealso{sombrero, meshgrid, mesh, surf}
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56 ## @end deftypefn
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57
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58 ## Expression for the peaks function was taken from the following paper:
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59 ## http://www.control.hut.fi/Kurssit/AS-74.115/Material/GENALGgoga.pdf
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60
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61 function [X_out, Y_out, Z_out] = peaks (x, y)
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62
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63 if (nargin == 0)
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64 x = y = linspace (-3, 3, 49);
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65 elseif (nargin == 1)
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66 if (length (x) > 1)
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67 y = x;
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68 else
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69 x = y = linspace (-3, 3, x);
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70 endif
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71 endif
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72
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73 if (isvector (x) && isvector (y))
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74 [X, Y] = meshgrid (x, y);
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75 else
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76 X = x;
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77 Y = y;
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78 endif
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79
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80 Z = 3 * (1 - X) .^ 2 .* exp (- X .^ 2 - (Y + 1) .^ 2) ...
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81 - 10 * (X / 5 - X .^ 3 - Y .^ 5) .* exp (- X .^ 2 - Y .^ 2) ...
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82 - 1 / 3 * exp (- (X + 1) .^ 2 - Y .^ 2);
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83
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84 if (nargout == 0)
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85 surf (x, y, Z);
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86 elseif (nargout == 1)
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87 X_out = Z;
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88 else
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89 X_out = X;
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90 Y_out = Y;
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91 Z_out = Z;
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
dbateman
parents:
diff changeset
92 endif
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
dbateman
parents:
diff changeset
93
c81a0f3f5a82 [project @ 2007-07-23 22:05:29 by dbateman]
dbateman
parents:
diff changeset
94 endfunction
17338
1c89599167a6 maint: End m-files with 1 blank line.
Rik <rik@octave.org>
parents: 17122
diff changeset
95