Mercurial > octave
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> |
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date | Sun, 03 May 2015 09:36:20 -0700 |
parents | 4197fc428c7d |
children | aa36fb998a4d |
rev | line source |
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1 ## Copyright (C) 2000-2015 Kai Habel |
3803 | 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. | |
3803 | 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/>. | |
3803 | 18 |
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} |
3803 | 39 ## @end deftypefn |
40 | |
41 ## Author: Kai Habel <kai.habel@gmx.de> | |
42 ## Adapted-by: jwe | |
43 | |
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44 function [theta, phi, r] = cart2sph (x, y, z) |
3803 | 45 |
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46 if (nargin != 1 && nargin != 3) |
6046 | 47 print_usage (); |
3803 | 48 endif |
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(:)]; |
3803 | 73 endif |
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); |
3803 | 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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Permit scalars when transforming coordinates.
Ben Abbott <bpabbott@mac.com>
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113 |
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coordinate transforms: add option to operate on column matrix of coordinates.
Rik <octave@nomad.inbox5.com>
parents:
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114 %!test |
7357e37f34fa
coordinate transforms: add option to operate on column matrix of coordinates.
Rik <octave@nomad.inbox5.com>
parents:
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115 %! C = [0, 0, 0; 1, 0, 1; 2, 0, 2]; |
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coordinate transforms: add option to operate on column matrix of coordinates.
Rik <octave@nomad.inbox5.com>
parents:
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116 %! S = [0, 0, 0; 0, pi/4, sqrt(2); 0, pi/4, 2*sqrt(2)]; |
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Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
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117 %! assert (cart2sph (C), S, eps); |
f3d52523cde1
Use Octave coding conventions in all m-file %!test blocks
Rik <octave@nomad.inbox5.com>
parents:
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118 |