annotate scripts/plot/draw/streamtube.m @ 28896:90fea9cc9caa

test: Add expected error message <Invalid call> to BIST tests for nargin. * acosd.m, acot.m, acotd.m, acoth.m, acsc.m, acscd.m, acsch.m, asec.m, asecd.m, asech.m, asind.m, atand.m, cosd.m, cot.m, cotd.m, coth.m, csc.m, cscd.m, csch.m, sec.m, secd.m, sech.m, sind.m, tand.m, cart2pol.m, cart2sph.m, celldisp.m, common_size.m, deal.m, del2.m, fliplr.m, integral2.m, interp1.m, isequal.m, isequaln.m, nextpow2.m, pol2cart.m, quad2d.m, quadl.m, quadv.m, randi.m, rat.m, repelem.m, rescale.m, shiftdim.m, sortrows.m, sph2cart.m, xor.m, convhull.m, delaunay.m, delaunayn.m, griddata.m, griddatan.m, inpolygon.m, voronoi.m, voronoin.m, listdlg.m, msgbox.m, questdlg.m, rmappdata.m, setappdata.m, __gripe_missing_component__.m, get_first_help_sentence.m, type.m, which.m, cmpermute.m, cmunique.m, gray2ind.m, imfinfo.m, imshow.m, imwrite.m, ind2rgb.m, movie.m, rgb2ind.m, importdata.m, bandwidth.m, condeig.m, gls.m, housh.m, linsolve.m, logm.m, lscov.m, normest.m, normest1.m, ols.m, ordeig.m, planerot.m, qzhess.m, rref.m, copyfile.m, delete.m, dos.m, fileparts.m, getfield.m, menu.m, mkdir.m, movefile.m, orderfields.m, publish.m, setfield.m, substruct.m, unix.m, unpack.m, decic.m, ode23.m, ode23s.m, ode45.m, fminsearch.m, lsqnonneg.m, pqpnonneg.m, sqp.m, annotation.m, lighting.m, shading.m, area.m, compass.m, contourc.m, feather.m, fplot.m, hist.m, isocaps.m, isocolors.m, isonormals.m, isosurface.m, ostreamtube.m, pie.m, pie3.m, reducepatch.m, reducevolume.m, rose.m, smooth3.m, stairs.m, stem.m, stem3.m, stream2.m, stream3.m, streamline.m, streamribbon.m, streamtube.m, surfnorm.m, trimesh.m, trisurf.m, colstyle.m, hgload.m, linkprop.m, meshgrid.m, ndgrid.m, padecoef.m, polyfit.m, polyval.m, unmkpp.m, profexport.m, ismember.m, unique.m, movfun.m, movslice.m, periodogram.m, sinc.m, spdiags.m, sprandsym.m, betaincinv.m, ellipke.m, factor.m, gammainc.m, gammaincinv.m, isprime.m, lcm.m, gallery.m, hadamard.m, bounds.m, corrcoef.m, discrete_rnd.m, empirical_rnd.m, histc.m, mode.m, movmad.m, movmax.m, movmean.m, movmedian.m, movmin.m, movprod.m, movstd.m, movsum.m, movvar.m, ranks.m, runlength.m, zscore.m, str2num.m, strchr.m, strsplit.m, strtok.m, untabify.m, assert.m, demo.m, example.m, speed.m, test.m, datenum.m, datevec.m, webread.m, webwrite.m: Add expected error message <Invalid call> to BIST tests for nargin. Remove redundant tests for nargin greater than the number of declared inputs which are now handled by interpreter.
author Rik <rik@octave.org>
date Sun, 11 Oct 2020 21:59:35 -0700
parents 8a9a041db1dc
children 3c37ae43996a
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 2019-2020 The Octave Project Developers
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4 ##
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5 ## See the file COPYRIGHT.md in the top-level directory of this
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6 ## distribution or <https://octave.org/copyright/>.
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7 ##
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8 ## This file is part of Octave.
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9 ##
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10 ## Octave is free software: you can redistribute it and/or modify it
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11 ## under the terms of the GNU General Public License as published by
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12 ## the Free Software Foundation, either version 3 of the License, or
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13 ## (at your option) any later version.
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14 ##
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15 ## Octave is distributed in the hope that it will be useful, but
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16 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 ## GNU General Public License for more details.
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19 ##
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20 ## You should have received a copy of the GNU General Public License
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21 ## along with Octave; see the file COPYING. If not, see
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22 ## <https://www.gnu.org/licenses/>.
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23 ##
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24 ########################################################################
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25
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26 ## -*- texinfo -*-
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27 ## @deftypefn {} {} streamtube (@var{x}, @var{y}, @var{z}, @var{u}, @var{v}, @var{w}, @var{sx}, @var{sy}, @var{sz})
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28 ## @deftypefnx {} {} streamtube (@var{u}, @var{v}, @var{w}, @var{sx}, @var{sy}, @var{sz})
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29 ## @deftypefnx {} {} streamtube (@var{xyz}, @var{x}, @var{y}, @var{z}, @var{div})
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30 ## @deftypefnx {} {} streamtube (@var{xyz}, @var{div})
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31 ## @deftypefnx {} {} streamtube (@var{xyz}, @var{dia})
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32 ## @deftypefnx {} {} streamtube (@dots{}, @var{options})
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33 ## @deftypefnx {} {} streamtube (@var{hax}, @dots{})
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34 ## @deftypefnx {} {@var{h} =} streamtube (@dots{})
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35 ## Plot tubes scaled by the divergence along streamlines.
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36 ##
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37 ## @code{streamtube} draws tubes whose diameter is scaled by the divergence of
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38 ## a vector field. The vector field is given by
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39 ## @code{[@var{u}, @var{v}, @var{w}]} and is defined over a rectangular grid
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40 ## given by @code{[@var{x}, @var{y}, @var{z}]}. The tubes start at the
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41 ## seed points @code{[@var{sx}, @var{sy}, @var{sz}]} and are plot along
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42 ## streamlines.
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43 ##
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44 ## @code{streamtube} can also be called with a cell array containing
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45 ## pre-computed streamline data. To do this, @var{xyz} must be created with
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46 ## the @code{stream3} command. @var{div} is used to scale the tubes.
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47 ## In order to plot tubes scaled by the vector field divergence, @var{div}
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48 ## must be calculated with the @code{divergence} command.
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49 ##
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50 ## A tube diameter of zero corresponds to the smallest scaling value along the
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51 ## streamline and the largest tube diameter corresponds to the largest scaling
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52 ## value.
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53 ##
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54 ## It is also possible to draw a tube along an arbitrary array of vertices
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55 ## @var{xyz}. The tube diameter can be specified by the vertex array @var{dia}
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56 ## or by a constant.
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57 ##
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58 ## The input parameter @var{options} is a 2-D vector of the form
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59 ## @code{[@var{scale}, @var{n}]}. The first parameter scales the tube
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60 ## diameter (default 1). The second parameter specifies the number of vertices
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61 ## that are used to construct the tube circumference (default 20).
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62 ##
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63 ## If the first argument @var{hax} is an axes handle, then plot into this axes,
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64 ## rather than the current axes returned by @code{gca}.
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65 ##
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66 ## The optional return value @var{h} is a graphics handle to the plot objects
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67 ## created for each tube.
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68 ##
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69 ## @seealso{stream3, streamline, streamribbon, ostreamtube}
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70 ## @end deftypefn
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71
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72 function h = streamtube (varargin)
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73
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74 [hax, varargin, nargin] = __plt_get_axis_arg__ ("streamtube", varargin{:});
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75
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76 options = [];
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77 xyz = [];
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78 div = [];
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79 dia = [];
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80 switch (nargin)
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81 case 0
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82 print_usage ();
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83 case 2
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84 ## "dia" can be a cell array or a constant
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85 if (iscell (varargin{2}) || numel (varargin{2}) == 1)
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86 [xyz, dia] = varargin{:};
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87 else
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88 [xyz, div] = varargin{:};
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89 [m, n, p] = size (div);
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90 [x, y, z] = meshgrid (1:n, 1:m, 1:p);
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91 endif
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92 case 3
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93 if (iscell (varargin{2}))
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94 [xyz, dia, options] = varargin{:};
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95 else
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96 [xyz, div, options] = varargin{:};
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97 [m, n, p] = size (div);
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98 [x, y, z] = meshgrid (1:n, 1:m, 1:p);
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99 endif
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100 case 5
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101 [xyz, x, y, z, div] = varargin{:};
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102 case 6
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103 if (iscell (varargin{1}))
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104 [xyz, x, y, z, div, options] = varargin{:};
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105 else
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106 [u, v, w, spx, spy, spz] = varargin{:};
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107 [m, n, p] = size (u);
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108 [x, y, z] = meshgrid (1:n, 1:m, 1:p);
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109 endif
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110 case 7
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
111 [u, v, w, spx, spy, spz, options] = varargin{:};
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
112 [m, n, p] = size (u);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
113 [x, y, z] = meshgrid (1:n, 1:m, 1:p);
27810
f2b89a2e20b6 overhaul streamXXX.m series of functions.
Rik <rik@octave.org>
parents: 27794
diff changeset
114 case 9
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
115 [x, y, z, u, v, w, spx, spy, spz] = varargin{:};
27810
f2b89a2e20b6 overhaul streamXXX.m series of functions.
Rik <rik@octave.org>
parents: 27794
diff changeset
116 case 10
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
117 [x, y, z, u, v, w, spx, spy, spz, options] = varargin{:};
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
118 otherwise
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
119 error ("streamtube: invalid number of inputs");
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
120 endswitch
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
121
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
122 scale = 1;
28135
695bb31e565b Rename "streamtube" to "ostreamtube" (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28036
diff changeset
123 num_circum = 20;
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
124 if (! isempty (options))
27810
f2b89a2e20b6 overhaul streamXXX.m series of functions.
Rik <rik@octave.org>
parents: 27794
diff changeset
125 switch (numel (options))
f2b89a2e20b6 overhaul streamXXX.m series of functions.
Rik <rik@octave.org>
parents: 27794
diff changeset
126 case 1
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
127 scale = options(1);
27810
f2b89a2e20b6 overhaul streamXXX.m series of functions.
Rik <rik@octave.org>
parents: 27794
diff changeset
128 case 2
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
129 scale = options(1);
28135
695bb31e565b Rename "streamtube" to "ostreamtube" (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28036
diff changeset
130 num_circum = options(2);
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
131 otherwise
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
132 error ("streamtube: invalid number of OPTIONS elements");
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
133 endswitch
27810
f2b89a2e20b6 overhaul streamXXX.m series of functions.
Rik <rik@octave.org>
parents: 27794
diff changeset
134
f2b89a2e20b6 overhaul streamXXX.m series of functions.
Rik <rik@octave.org>
parents: 27794
diff changeset
135 if (! isreal (scale) || scale <= 0)
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
136 error ("streamtube: SCALE must be a real scalar > 0");
27810
f2b89a2e20b6 overhaul streamXXX.m series of functions.
Rik <rik@octave.org>
parents: 27794
diff changeset
137 endif
28135
695bb31e565b Rename "streamtube" to "ostreamtube" (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28036
diff changeset
138 if (! isreal (num_circum) || num_circum < 3)
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
139 error ("streamtube: number of tube vertices N must be greater than 2");
27810
f2b89a2e20b6 overhaul streamXXX.m series of functions.
Rik <rik@octave.org>
parents: 27794
diff changeset
140 endif
28135
695bb31e565b Rename "streamtube" to "ostreamtube" (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28036
diff changeset
141 num_circum = fix (num_circum);
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
142 endif
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
143
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
144 if (isempty (xyz))
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
145 xyz = stream3 (x, y, z, u, v, w, spx, spy, spz, 0.2);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
146 endif
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
147
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
148 if (isempty (div) && isempty (dia))
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
149 div = divergence (x, y, z, u, v, w);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
150 endif
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
151
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
152 if (! isempty (dia) && iscell (dia))
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
153 for i = 1 : length (xyz)
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
154 if (rows (dia{i}) != rows (xyz{i}))
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
155 error ("streamtube: DIA must have same length then XYZ");
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
156 endif
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
157 endfor
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
158 endif
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
159
27810
f2b89a2e20b6 overhaul streamXXX.m series of functions.
Rik <rik@octave.org>
parents: 27794
diff changeset
160 if (isempty (hax))
f2b89a2e20b6 overhaul streamXXX.m series of functions.
Rik <rik@octave.org>
parents: 27794
diff changeset
161 hax = gca ();
f2b89a2e20b6 overhaul streamXXX.m series of functions.
Rik <rik@octave.org>
parents: 27794
diff changeset
162 else
f2b89a2e20b6 overhaul streamXXX.m series of functions.
Rik <rik@octave.org>
parents: 27794
diff changeset
163 hax = hax(1);
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
164 endif
27810
f2b89a2e20b6 overhaul streamXXX.m series of functions.
Rik <rik@octave.org>
parents: 27794
diff changeset
165
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
166 ## Derive final scale factor from the bounding box diagonal
28036
465be7c652f1 streamtube: Change used graphics object and tube radius (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28035
diff changeset
167 mxx = mnx = mxy = mny = mxz = mnz = [];
465be7c652f1 streamtube: Change used graphics object and tube radius (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28035
diff changeset
168 j = 1;
465be7c652f1 streamtube: Change used graphics object and tube radius (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28035
diff changeset
169 for i = 1 : length (xyz)
465be7c652f1 streamtube: Change used graphics object and tube radius (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28035
diff changeset
170 sl = xyz{i};
465be7c652f1 streamtube: Change used graphics object and tube radius (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28035
diff changeset
171 if (! isempty (sl))
28385
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
172 slx = sl(:,1); sly = sl(:,2); slz = sl(:,3);
28135
695bb31e565b Rename "streamtube" to "ostreamtube" (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28036
diff changeset
173 mxx(j) = max (slx); mnx(j) = min (slx);
695bb31e565b Rename "streamtube" to "ostreamtube" (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28036
diff changeset
174 mxy(j) = max (sly); mny(j) = min (sly);
695bb31e565b Rename "streamtube" to "ostreamtube" (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28036
diff changeset
175 mxz(j) = max (slz); mnz(j) = min (slz);
28036
465be7c652f1 streamtube: Change used graphics object and tube radius (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28035
diff changeset
176 j += 1;
465be7c652f1 streamtube: Change used graphics object and tube radius (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28035
diff changeset
177 endif
465be7c652f1 streamtube: Change used graphics object and tube radius (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28035
diff changeset
178 endfor
465be7c652f1 streamtube: Change used graphics object and tube radius (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28035
diff changeset
179 dx = max (mxx) - min (mnx);
465be7c652f1 streamtube: Change used graphics object and tube radius (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28035
diff changeset
180 dy = max (mxy) - min (mny);
465be7c652f1 streamtube: Change used graphics object and tube radius (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28035
diff changeset
181 dz = max (mxz) - min (mnz);
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
182 clen = scale * sqrt (dx*dx + dy*dy + dz*dz) / 40;
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
183
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
184 h = [];
27810
f2b89a2e20b6 overhaul streamXXX.m series of functions.
Rik <rik@octave.org>
parents: 27794
diff changeset
185 for i = 1 : length (xyz)
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
186 sl = xyz{i};
28035
0cd5f632a4b0 streamtube.m: Clean up function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 27984
diff changeset
187 num_vertices = rows (sl);
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
188 if (! isempty (sl) && num_vertices > 1)
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
189 if (isempty (dia))
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
190
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
191 ## Plot a tube based on normalized divergence
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
192 [div_sl, max_vertices] = interp_sl (x, y, z, div, sl);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
193 if (max_vertices > 1)
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
194 ## Nomalize the divergence along the streamline
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
195 mn = min (div_sl);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
196 mx = max (div_sl);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
197 if (mn == mx)
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
198 radius_sl = clen * ones (max_vertices, 1);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
199 else
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
200 radius_sl = clen * (div_sl - mn) / (mx - mn);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
201 endif
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
202 htmp = plottube (hax, sl, radius_sl, max_vertices, num_circum);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
203 h = [h; htmp];
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
204 endif
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
205
28036
465be7c652f1 streamtube: Change used graphics object and tube radius (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28035
diff changeset
206 else
465be7c652f1 streamtube: Change used graphics object and tube radius (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28035
diff changeset
207
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
208 ## Plot a tube from external data (vertex array or constant)
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
209 if (iscell (dia))
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
210 radius_sl = 0.5 * scale * dia{i};
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
211 else
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
212 radius_sl = 0.5 * scale * dia * ones (1, num_vertices);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
213 endif
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
214 htmp = plottube (hax, sl, radius_sl, num_vertices, num_circum);
28036
465be7c652f1 streamtube: Change used graphics object and tube radius (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28035
diff changeset
215 h = [h; htmp];
465be7c652f1 streamtube: Change used graphics object and tube radius (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28035
diff changeset
216
465be7c652f1 streamtube: Change used graphics object and tube radius (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28035
diff changeset
217 endif
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
218 endif
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
219 endfor
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
220
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
221 endfunction
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
222
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
223 function h = plottube (hax, sl, radius_sl, max_vertices, num_circum)
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
224
28135
695bb31e565b Rename "streamtube" to "ostreamtube" (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28036
diff changeset
225 phi = linspace (0, 2*pi, num_circum);
28035
0cd5f632a4b0 streamtube.m: Clean up function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 27984
diff changeset
226 cp = cos (phi);
0cd5f632a4b0 streamtube.m: Clean up function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 27984
diff changeset
227 sp = sin (phi);
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
228
28385
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
229 ## 1st streamline segment
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
230 X0 = sl(1,:);
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
231 X1 = sl(2,:);
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
232 R = X1 - X0;
28035
0cd5f632a4b0 streamtube.m: Clean up function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 27984
diff changeset
233 RE = R / norm (R);
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
234
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
235 ## Guide point and its rotation to create a segment
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
236 KE = get_normal1 (RE);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
237 K = radius_sl(1) * KE;
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
238 XS0 = rotation (K, RE, cp, sp) + repmat (X0.', 1, num_circum);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
239 K = radius_sl(2) * KE;
28135
695bb31e565b Rename "streamtube" to "ostreamtube" (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28036
diff changeset
240 XS = rotation (K, RE, cp, sp) + repmat (X1.', 1, num_circum);
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
241
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
242 px = zeros (num_circum, max_vertices);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
243 py = zeros (num_circum, max_vertices);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
244 pz = zeros (num_circum, max_vertices);
28036
465be7c652f1 streamtube: Change used graphics object and tube radius (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28035
diff changeset
245
28385
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
246 px(:,1) = XS0(1,:).';
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
247 py(:,1) = XS0(2,:).';
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
248 pz(:,1) = XS0(3,:).';
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
249
28385
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
250 px(:,2) = XS(1,:).';
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
251 py(:,2) = XS(2,:).';
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
252 pz(:,2) = XS(3,:).';
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
253
28035
0cd5f632a4b0 streamtube.m: Clean up function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 27984
diff changeset
254 for i = 3 : max_vertices
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
255
28385
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
256 ## Next streamline segment
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
257 X0 = X1;
28385
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
258 X1 = sl(i,:);
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
259 R = X1 - X0;
28035
0cd5f632a4b0 streamtube.m: Clean up function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 27984
diff changeset
260 RE = R / norm (R);
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
261
28385
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
262 ## Project KE onto RE and get the difference in order to transport
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
263 ## the normal vector KE along the vertex array
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
264 Kp = KE - RE * dot (KE, RE);
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
265 KE = Kp / norm (Kp);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
266 K = radius_sl(i) * KE;
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
267
28135
695bb31e565b Rename "streamtube" to "ostreamtube" (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28036
diff changeset
268 ## Rotate around RE and collect surface patches
695bb31e565b Rename "streamtube" to "ostreamtube" (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28036
diff changeset
269 XS = rotation (K, RE, cp, sp) + repmat (X1.', 1, num_circum);
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
270
28385
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
271 px(:,i) = XS(1,:).';
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
272 py(:,i) = XS(2,:).';
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
273 pz(:,i) = XS(3,:).';
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
274
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
275 endfor
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
276
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
277 h = surface (hax, px, py, pz);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
278
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
279 endfunction
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
280
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
281 ## Interpolate onto the streamline vertices and return the first chunck of
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
282 ## valid samples until a singularity is hit (NaN or +-Inf) or
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
283 ## the streamline vertex array "sl" ends
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
284 function [div_sl_crop, max_vertices] = interp_sl (x, y, z, div, sl)
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
285
28385
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
286 div_sl = interp3 (x, y, z, div, sl(:,1), sl(:,2), sl(:,3));
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
287 is_nan = find (isnan (div_sl), 1, "first");
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
288 is_inf = find (isinf (div_sl), 1, "first");
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
289
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
290 max_vertices = rows (sl);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
291 if (! isempty (is_nan))
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
292 max_vertices = min (max_vertices, is_nan - 1);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
293 endif
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
294 if (! isempty (is_inf))
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
295 max_vertices = min (max_vertices, is_inf - 1);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
296 endif
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
297
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
298 div_sl_crop = div_sl(1 : max_vertices);
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
299
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
300 endfunction
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
301
28035
0cd5f632a4b0 streamtube.m: Clean up function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 27984
diff changeset
302 ## Arbitrary N normal to X
0cd5f632a4b0 streamtube.m: Clean up function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 27984
diff changeset
303 function N = get_normal1 (X)
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
304
28035
0cd5f632a4b0 streamtube.m: Clean up function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 27984
diff changeset
305 if ((X(3) == 0) && (X(1) == -X(2)))
28385
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
306 N = [(- X(2) - X(3)), X(1), X(1)];
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
307 else
28385
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
308 N = [X(3), X(3), (- X(1) - X(2))];
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
309 endif
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
310
27810
f2b89a2e20b6 overhaul streamXXX.m series of functions.
Rik <rik@octave.org>
parents: 27794
diff changeset
311 N /= norm (N);
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
312
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
313 endfunction
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
314
28035
0cd5f632a4b0 streamtube.m: Clean up function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 27984
diff changeset
315 ## Rotate X around U where |U| = 1
0cd5f632a4b0 streamtube.m: Clean up function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 27984
diff changeset
316 ## cp = cos (angle), sp = sin (angle)
0cd5f632a4b0 streamtube.m: Clean up function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 27984
diff changeset
317 function Y = rotation (X, U, cp, sp)
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
318
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
319 ux = U(1);
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
320 uy = U(2);
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
321 uz = U(3);
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
322
28385
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
323 Y(1,:) = X(1) * (cp + ux * ux * (1 - cp)) + ...
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
324 X(2) * (ux * uy * (1 - cp) - uz * sp) + ...
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
325 X(3) * (ux * uz * (1 - cp) + uy * sp);
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
326
28385
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
327 Y(2,:) = X(1) * (uy * ux * (1 - cp) + uz * sp) + ...
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
328 X(2) * (cp + uy * uy * (1 - cp)) + ...
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
329 X(3) * (uy * uz * (1 - cp) - ux * sp);
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
330
28385
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
331 Y(3,:) = X(1) * (uz * ux * (1 - cp) - uy * sp) + ...
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
332 X(2) * (uz * uy * (1 - cp) + ux * sp) + ...
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
333 X(3) * (cp + uz * uz * (1 - cp));
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
334
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
335 endfunction
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
336
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
337 %!demo
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
338 %! clf;
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
339 %! [x, y, z] = meshgrid (-3:0.15:3, -1:0.1:1, -1:0.1:1);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
340 %! u = 2 + 8 * exp (-2.0*x.*x);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
341 %! v = zeros (size (x));
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
342 %! w = zeros (size (x));
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
343 %! h = streamtube (x, y, z, u, v, w, -3, 0, 0, [5, 60]);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
344 %! set (h, "facecolor", "r", "edgecolor", "none");
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
345 %! hold on;
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
346 %! camlight ();
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
347 %! lighting gouraud;
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
348 %! view (3);
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
349 %! grid on;
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
350 %! quiver3 (x, y, z, u, v, w);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
351 %! axis tight equal;
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
352 %! title ("Divergence Plot");
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
353
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
354 %!demo
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
355 %! clf;
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
356 %! t = 0:.15:15;
28385
1888f07317a8 streamtube.m, ostreamtube.m: Minor code cleaning (patch #9916).
Markus Meisinger <chloros2@gmx.de>
parents: 28137
diff changeset
357 %! xyz{1} = [cos(t)', sin(t)', (t/3)'];
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
358 %! dia{1} = cos(t)';
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
359 %! streamtube (xyz, dia);
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
360 %! grid on;
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
361 %! axis tight equal;
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
362 %! colormap (jet);
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
363 %! shading interp;
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
364 %! camlight ();
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
365 %! lighting gouraud;
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
366 %! view (3);
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
367 %! title ("Plot Arbitrary Tube");
27759
992e702ef0d7 Add stream* functions (patch #9859).
Markus Meisinger <chloros2@gmx.de>
parents:
diff changeset
368
27810
f2b89a2e20b6 overhaul streamXXX.m series of functions.
Rik <rik@octave.org>
parents: 27794
diff changeset
369 ## Test input validation
28896
90fea9cc9caa test: Add expected error message <Invalid call> to BIST tests for nargin.
Rik <rik@octave.org>
parents: 28386
diff changeset
370 %!error <Invalid call> streamtube ()
28136
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
371 %!error <invalid number of inputs> streamtube (1)
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
372 %!error <invalid number of inputs> streamtube (1,2,3,4)
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
373 %!error <invalid number of inputs> streamtube (1,2,3,4,5,6,7,8)
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
374 %!error <invalid number of inputs> streamtube (1,2,3,4,5,6,7,8,9,10,11)
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
375 %!error <invalid number of OPTIONS elements> streamtube (1,2,[1,2,3])
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
376 %!error <SCALE must be a real scalar . 0> streamtube (1,2,[1i])
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
377 %!error <SCALE must be a real scalar . 0> streamtube (1,2,[0])
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
378 %!error <SCALE must be a real scalar . 0> streamtube (1,2,[-1])
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
379 %!error <N must be greater than 2> streamtube (1,2,[1,1i])
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
380 %!error <N must be greater than 2> streamtube (1,2,[1,2])
23f667483fab Add Matlab compatible "streamtube" function (bug #57471).
Markus Meisinger <chloros2@gmx.de>
parents: 28135
diff changeset
381 %!error <DIA must have same length then XYZ> streamtube ({[1,1,1;2,2,2]},{[1,1,1]})