annotate scripts/general/cart2sph.m @ 20158:7503499a252b stable

doc: Update docstrings to have one sentence summary as first line. Update scripts in audio, elfun, general, geometry, and image directories. * scripts/audio/@audioplayer/__get_properties__.m, scripts/audio/@audioplayer/audioplayer.m, scripts/audio/@audioplayer/get.m, scripts/audio/@audioplayer/isplaying.m, scripts/audio/@audioplayer/play.m, scripts/audio/@audioplayer/playblocking.m, scripts/audio/@audioplayer/set.m, scripts/audio/@audioplayer/subsasgn.m, scripts/audio/@audioplayer/subsref.m, scripts/audio/@audiorecorder/audiorecorder.m, scripts/audio/@audiorecorder/get.m, scripts/audio/@audiorecorder/getaudiodata.m, scripts/audio/@audiorecorder/getplayer.m, scripts/audio/@audiorecorder/isrecording.m, scripts/audio/@audiorecorder/play.m, scripts/audio/@audiorecorder/record.m, scripts/audio/@audiorecorder/recordblocking.m, scripts/audio/@audiorecorder/set.m, scripts/audio/@audiorecorder/stop.m, scripts/audio/@audiorecorder/subsasgn.m, scripts/audio/@audiorecorder/subsref.m, scripts/audio/lin2mu.m, scripts/audio/mu2lin.m, scripts/audio/record.m, scripts/audio/sound.m, scripts/audio/soundsc.m, scripts/audio/wavread.m, scripts/audio/wavwrite.m, scripts/elfun/cosd.m, scripts/elfun/sind.m, scripts/elfun/tand.m, scripts/general/accumarray.m, scripts/general/accumdim.m, scripts/general/bitcmp.m, scripts/general/bitget.m, scripts/general/bitset.m, scripts/general/blkdiag.m, scripts/general/cart2pol.m, scripts/general/cart2sph.m, scripts/general/cell2mat.m, scripts/general/celldisp.m, scripts/general/chop.m, scripts/general/circshift.m, scripts/general/common_size.m, scripts/general/cplxpair.m, scripts/general/cumtrapz.m, scripts/general/dblquad.m, scripts/general/deal.m, scripts/general/del2.m, scripts/general/display.m, scripts/general/divergence.m, scripts/general/fieldnames.m, scripts/general/flip.m, scripts/general/flipdim.m, scripts/general/fliplr.m, scripts/general/flipud.m, scripts/general/gradient.m, scripts/general/interp3.m, scripts/general/interpft.m, scripts/general/interpn.m, scripts/general/loadobj.m, scripts/general/logspace.m, scripts/general/methods.m, scripts/general/nargchk.m, scripts/general/narginchk.m, scripts/general/nargoutchk.m, scripts/general/nextpow2.m, scripts/general/nthargout.m, scripts/general/num2str.m, scripts/general/pol2cart.m, scripts/general/polyarea.m, scripts/general/postpad.m, scripts/general/prepad.m, scripts/general/profile.m, scripts/general/quadgk.m, scripts/general/quadl.m, scripts/general/quadv.m, scripts/general/randi.m, scripts/general/rat.m, scripts/general/repmat.m, scripts/general/rot90.m, scripts/general/rotdim.m, scripts/general/saveobj.m, scripts/general/shift.m, scripts/general/shiftdim.m, scripts/general/sortrows.m, scripts/general/sph2cart.m, scripts/general/structfun.m, scripts/general/subsindex.m, scripts/general/trapz.m, scripts/general/triplequad.m, scripts/geometry/delaunayn.m, scripts/geometry/dsearch.m, scripts/geometry/dsearchn.m, scripts/geometry/griddata.m, scripts/geometry/griddata3.m, scripts/geometry/griddatan.m, scripts/geometry/inpolygon.m, scripts/geometry/rectint.m, scripts/geometry/tsearchn.m, scripts/geometry/voronoi.m, scripts/geometry/voronoin.m, scripts/help/__unimplemented__.m, scripts/help/doc.m, scripts/help/doc_cache_create.m, scripts/help/get_first_help_sentence.m, scripts/help/help.m, scripts/help/lookfor.m, scripts/help/print_usage.m, scripts/help/type.m, scripts/help/which.m, scripts/image/autumn.m, scripts/image/bone.m, scripts/image/brighten.m, scripts/image/cmpermute.m, scripts/image/colorcube.m, scripts/image/contrast.m, scripts/image/cool.m, scripts/image/copper.m, scripts/image/cubehelix.m, scripts/image/flag.m, scripts/image/gmap40.m, scripts/image/gray.m, scripts/image/gray2ind.m, scripts/image/hot.m, scripts/image/hsv.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/iscolormap.m, scripts/image/jet.m, scripts/image/lines.m, scripts/image/ntsc2rgb.m, scripts/image/ocean.m, scripts/image/pink.m, scripts/image/prism.m, scripts/image/rainbow.m, scripts/image/rgb2ntsc.m, scripts/image/spinmap.m, scripts/image/spring.m, scripts/image/summer.m, scripts/image/white.m, scripts/image/winter.m: Update docstrings to have one sentence summary as first line. Re-structure to have line lengths <= 80 chars.
author Rik <rik@octave.org>
date Sun, 03 May 2015 09:36:20 -0700
parents 4197fc428c7d
children aa36fb998a4d
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rev   line source
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1 ## Copyright (C) 2000-2015 Kai Habel
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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{theta}, @var{phi}, @var{r}] =} cart2sph (@var{x}, @var{y}, @var{z})
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21 ## @deftypefnx {Function File} {[@var{theta}, @var{phi}, @var{r}] =} cart2sph (@var{C})
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22 ## @deftypefnx {Function File} {@var{S} =} cart2sph (@dots{})
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23 ## Transform Cartesian coordinates to spherical coordinates.
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24 ##
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25 ## The inputs @var{x}, @var{y}, and @var{z} must be the same shape, or scalar.
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26 ## If called with a single matrix argument then each row of @var{C} represents
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27 ## the Cartesian coordinate (@var{x}, @var{y}, @var{z}).
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28 ##
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29 ## @var{theta} describes the angle relative to the positive x-axis.
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30 ##
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31 ## @var{phi} is the angle relative to the xy-plane.
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32 ##
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33 ## @var{r} is the distance to the origin @w{(0, 0, 0)}.
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34 ##
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35 ## If only a single return argument is requested then return a matrix @var{S}
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36 ## where each row represents one spherical coordinate
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37 ## (@var{theta}, @var{phi}, @var{r}).
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38 ## @seealso{sph2cart, cart2pol, pol2cart}
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39 ## @end deftypefn
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40
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41 ## Author: Kai Habel <kai.habel@gmx.de>
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42 ## Adapted-by: jwe
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43
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44 function [theta, phi, r] = cart2sph (x, y, z)
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45
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46 if (nargin != 1 && nargin != 3)
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47 print_usage ();
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48 endif
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49
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50 if (nargin == 1)
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51 if (ismatrix (x) && columns (x) == 3)
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52 z = x(:,3);
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53 y = x(:,2);
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54 x = x(:,1);
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55 else
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56 error ("cart2sph: matrix input must have 3 columns [X, Y, Z]");
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57 endif
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58 elseif (nargin == 3)
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59 if (! ((ismatrix (x) && ismatrix (y) && ismatrix (z))
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60 && (size_equal (x, y) || isscalar (x) || isscalar (y))
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61 && (size_equal (x, z) || isscalar (x) || isscalar (z))
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62 && (size_equal (y, z) || isscalar (y) || isscalar (z))))
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63 error ("cart2sph: X, Y, Z must be matrices of the same size, or scalar");
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64 endif
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65 endif
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66
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67 theta = atan2 (y, x);
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68 phi = atan2 (z, sqrt (x .^ 2 + y .^ 2));
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69 r = sqrt (x .^ 2 + y .^ 2 + z .^ 2);
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70
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71 if (nargout <= 1)
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72 theta = [theta(:), phi(:), r(:)];
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73 endif
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74
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75 endfunction
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76
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77
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78 %!test
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79 %! x = [0, 1, 2];
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80 %! y = [0, 1, 2];
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81 %! z = [0, 1, 2];
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82 %! [t, p, r] = cart2sph (x, y, z);
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83 %! assert (t, [0, pi/4, pi/4], eps);
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84 %! assert (p, [0, 1, 1]*atan (sqrt (0.5)), eps);
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85 %! assert (r, [0, 1, 2]*sqrt (3), eps);
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86
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87 %!test
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88 %! x = 0;
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89 %! y = [0, 1, 2];
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90 %! z = [0, 1, 2];
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91 %! S = cart2sph (x, y, z);
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92 %! assert (S(:,1), [0; 1; 1] * pi/2, eps);
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93 %! assert (S(:,2), [0; 1; 1] * pi/4, eps);
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94 %! assert (S(:,3), [0; 1; 2] * sqrt (2), eps);
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95
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96 %!test
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97 %! x = [0, 1, 2];
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98 %! y = 0;
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99 %! z = [0, 1, 2];
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100 %! [t, p, r] = cart2sph (x, y, z);
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101 %! assert (t, [0, 0, 0]);
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102 %! assert (p, [0, 1, 1] * pi/4);
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103 %! assert (r, [0, 1, 2] * sqrt (2));
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104
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105 %!test
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106 %! x = [0, 1, 2];
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107 %! y = [0, 1, 2];
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108 %! z = 0;
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109 %! [t, p, r] = cart2sph (x, y, z);
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110 %! assert (t, [0, 1, 1] * pi/4);
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111 %! assert (p, [0, 0, 0]);
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112 %! assert (r, [0, 1, 2] * sqrt (2));
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113
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114 %!test
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115 %! C = [0, 0, 0; 1, 0, 1; 2, 0, 2];
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116 %! S = [0, 0, 0; 0, pi/4, sqrt(2); 0, pi/4, 2*sqrt(2)];
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117 %! assert (cart2sph (C), S, eps);
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118