annotate scripts/geometry/inpolygon.m @ 31253:a40c0b7aa376

maint: changes to follow Octave coding conventions. * NEWS.8.md: Wrap lines to 72 chars. * LSODE-opts.in: Use two spaces after sentence ending period. * LSODE.cc: Use minimum of two spaces between code and start of comment. * MemoizedFunction.m: Change copyright date to 2022 since this is the year it was accepted into core. Don't wrap error() lines to 80 chars. Use newlines to improve readability of switch statements. Use minimum of two spaces between code and start of comment. * del2.m, integral.m, interp1.m, interp2.m, griddata.m, inpolygon.m, waitbar.m, cubehelix.m, ind2x.m, importdata.m, textread.m, logm.m, lighting.m, shading.m, xticklabels.m, yticklabels.m, zticklabels.m, colorbar.m, meshc.m, print.m, __gnuplot_draw_axes__.m, struct2hdl.m, ppval.m, ismember.m, iqr.m: Use a space between comment character '#' and start of comment. Use hyphen for adjectives describing dimensions such as "1-D". * vectorize.m, ode23s.m: Use is_function_handle() instead of "isa (x, "function_handle")" for clarity and performance. * clearAllMemoizedCaches.m: Change copyright date to 2022 since this is the year it was accepted into core. Remove input validation which is done by interpreter. Use two newlines between end of code and start of BIST tests. * memoize.m: Change copyright date to 2022 since this is the year it was accepted into core. Re-wrap documentation to 80 chars. Use is_function_handle() instead of "isa (x, "function_handle")" for clarity and performance. Use two newlines between end of code and start of BIST tests. Use semicolon for assert statements within %!test block. Re-write BIST tests for input validation. * __memoize__.m: Change copyright date to 2022 since this is the year it was accepted into core. Use spaces in for statements to improve readability. * unique.m: Add FIXME note to commented BIST test * dec2bin.m: Remove stray newline at end of file. * triplequad.m: Reduce doubly-commented BIST syntax using "#%!#" to "#%!". * delaunayn.m: Use input variable names in error() statements. Use minimum of two spaces between code and start of comment. Use hyphen for describing dimensions. Use two newlines between end of code and start of BIST tests. Update BIST tests to pass.
author Rik <rik@octave.org>
date Mon, 03 Oct 2022 18:06:55 -0700
parents 796f54d4ddbf
children 597f3ee61a48
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 2006-2022 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 ## 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 {} {@var{in} =} inpolygon (@var{x}, @var{y}, @var{xv}, @var{yv})
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28 ## @deftypefnx {} {[@var{in}, @var{on}] =} inpolygon (@var{x}, @var{y}, @var{xv}, @var{yv})
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29 ##
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30 ## For a polygon defined by vertex points @code{(@var{xv}, @var{yv})}, return
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31 ## true if the points @code{(@var{x}, @var{y})} are inside (or on the boundary)
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32 ## of the polygon; Otherwise, return false.
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33 ##
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34 ## The input variables @var{x} and @var{y}, must have the same dimension.
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35 ##
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36 ## The optional output @var{on} returns true if the points are exactly on the
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37 ## polygon edge, and false otherwise.
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38 ## @seealso{delaunay}
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39 ## @end deftypefn
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40
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41 ## Algorithm: The method for determining if a point is in a polygon is based on
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42 ## the algorithm shown on
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43 ## http://local.wasp.uwa.edu.au/~pbourke/geometry/insidepoly/
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44 ## and is credited to Randolph Franklin.
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45
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46 function [in, on] = inpolygon (x, y, xv, yv)
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48 if (nargin != 4)
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49 print_usage ();
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50 endif
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51
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52 if (! (isreal (x) && isreal (y) && isnumeric (x) && isnumeric (y)
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53 && size_equal (x, y)))
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54 error ("inpolygon: X and Y must be real arrays of the same size");
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55 elseif (! (isreal (xv) && isreal (yv) && isvector (xv) && isvector (yv)
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56 && size_equal (xv, yv)))
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57 error ("inpolygon: XV and YV must be real vectors of the same size");
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58 endif
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59
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60 npol = length (xv);
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61
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62 in = on = false (size (x));
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63
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64 j = npol;
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65 for i = 1 : npol
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66 delta_xv = xv(j) - xv(i);
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67 delta_yv = yv(j) - yv(i);
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68 ## distance = [distance from (x,y) to edge] * length(edge)
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69 distance = delta_xv .* (y - yv(i)) - (x - xv(i)) .* delta_yv;
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70
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71 ## is y between the y-values of edge i,j AND (x,y) on the left of the edge?
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72 idx1 = (((yv(i) <= y & y < yv(j)) | (yv(j) <= y & y < yv(i)))
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73 & 0 < distance.*delta_yv);
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74 in(idx1) = ! in(idx1);
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75
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76 ## Check if (x,y) are actually on the boundary of the polygon.
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77 idx2 = (((yv(i) <= y & y <= yv(j)) | (yv(j) <= y & y <= yv(i)))
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78 & ((xv(i) <= x & x <= xv(j)) | (xv(j) <= x & x <= xv(i)))
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79 & (0 == distance | ! delta_xv));
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80 on(idx2) = true;
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81
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82 j = i;
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83 endfor
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84
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85 ## Matlab definition include both in polygon and on polygon points.
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86 in |= on;
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87
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88 endfunction
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89
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90
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91 %!demo
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92 %! xv = [ 0.05840, 0.48375, 0.69356, 1.47478, 1.32158, ...
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93 %! 1.94545, 2.16477, 1.87639, 1.18218, 0.27615, ...
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94 %! 0.05840 ];
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95 %! yv = [ 0.60628, 0.04728, 0.50000, 0.50000, 0.02015, ...
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96 %! 0.18161, 0.78850, 1.13589, 1.33781, 1.04650, ...
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97 %! 0.60628 ];
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98 %! xa = [0:0.1:2.3];
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99 %! ya = [0:0.1:1.4];
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100 %! [x,y] = meshgrid (xa, ya);
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101 %! [in,on] = inpolygon (x, y, xv, yv);
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102 %! inside = in & ! on;
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103 %!
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104 %! clf;
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105 %! plot (xv, yv);
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106 %! hold on;
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107 %! plot (x(inside), y(inside), "@g");
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108 %! plot (x(! in), y(! in), "@m");
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109 %! plot (x(on), y(on), "@b");
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110 %! hold off;
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111 %! disp ("Green points are inside polygon, magenta are outside,");
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112 %! disp ("and blue are on boundary.");
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113
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114 %!demo
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115 %! xv = [ 0.05840, 0.48375, 0.69356, 1.47478, 1.32158, ...
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116 %! 1.94545, 2.16477, 1.87639, 1.18218, 0.27615, ...
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117 %! 0.05840, 0.73295, 1.28913, 1.74221, 1.16023, ...
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diff changeset
118 %! 0.73295, 0.05840 ];
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14222
diff changeset
119 %! yv = [ 0.60628, 0.04728, 0.50000, 0.50000, 0.02015, ...
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14222
diff changeset
120 %! 0.18161, 0.78850, 1.13589, 1.33781, 1.04650, ...
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14222
diff changeset
121 %! 0.60628, 0.82096, 0.67155, 0.96114, 1.14833, ...
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14222
diff changeset
122 %! 0.82096, 0.60628];
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14222
diff changeset
123 %! xa = [0:0.1:2.3];
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14222
diff changeset
124 %! ya = [0:0.1:1.4];
20133
bef9086a6725 inpolygon.m: Overhaul function and fix bug #40970.
Rik <rik@octave.org>
parents: 19833
diff changeset
125 %! [x, y] = meshgrid (xa, ya);
bef9086a6725 inpolygon.m: Overhaul function and fix bug #40970.
Rik <rik@octave.org>
parents: 19833
diff changeset
126 %! [in, on] = inpolygon (x, y, xv, yv);
20955
77f5591878bf maint: Use '! expr' rather than '!expr' to conform to coding guidelines.
Rik <rik@octave.org>
parents: 20852
diff changeset
127 %! inside = in & ! on;
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14222
diff changeset
128 %!
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14222
diff changeset
129 %! clf;
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14222
diff changeset
130 %! plot (xv, yv);
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14222
diff changeset
131 %! hold on;
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14222
diff changeset
132 %! plot (x(inside), y(inside), "@g");
20955
77f5591878bf maint: Use '! expr' rather than '!expr' to conform to coding guidelines.
Rik <rik@octave.org>
parents: 20852
diff changeset
133 %! plot (x(! in), y(! in), "@m");
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14222
diff changeset
134 %! plot (x(on), y(on), "@b");
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14222
diff changeset
135 %! hold off;
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14222
diff changeset
136 %! disp ("Green points are inside polygon, magenta are outside,");
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14222
diff changeset
137 %! disp ("and blue are on boundary.");
13057
85c77dd2e85b codesprint: tests for inpolygon
John W. Eaton <jwe@octave.org>
parents: 11587
diff changeset
138
85c77dd2e85b codesprint: tests for inpolygon
John W. Eaton <jwe@octave.org>
parents: 11587
diff changeset
139 %!test
20133
bef9086a6725 inpolygon.m: Overhaul function and fix bug #40970.
Rik <rik@octave.org>
parents: 19833
diff changeset
140 %! [in, on] = inpolygon ([1, 0, 2], [1, 0, 0], [-1, -1, 1, 1], [-1, 1, 1, -1]);
bef9086a6725 inpolygon.m: Overhaul function and fix bug #40970.
Rik <rik@octave.org>
parents: 19833
diff changeset
141 %! assert (in, [true, true, false]);
bef9086a6725 inpolygon.m: Overhaul function and fix bug #40970.
Rik <rik@octave.org>
parents: 19833
diff changeset
142 %! assert (on, [true, false, false]);
14237
11949c9795a0 Revamp %!demos in m-files to use Octave coding conventions on spacing, etc.
Rik <octave@nomad.inbox5.com>
parents: 14222
diff changeset
143
31253
a40c0b7aa376 maint: changes to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 30564
diff changeset
144 ## 3-D array input
21222
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
145 %!test
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
146 %! x = zeros (2, 2, 2);
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
147 %! x(1, 1, 1) = 1;
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
148 %! x(2, 2, 2) = 2;
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
149 %! y = zeros (2, 2, 2);
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
150 %! y(1, 1, 1) = 1;
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
151 %! y(2, 2, 2) = -1;
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
152 %! [in, on] = inpolygon (x, y, [-1, -1, 1, 1], [-1, 1, 1, -1]);
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
153 %! IN = true (2, 2, 2);
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
154 %! IN(2, 2, 2) = false;
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
155 %! ON = false (2, 2, 2);
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
156 %! ON(1, 1, 1) = true;
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
157 %! assert (in, IN);
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
158 %! assert (on, ON);
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
159
19833
9fc020886ae9 maint: Clean up m-files to follow Octave coding conventions.
Rik <rik@octave.org>
parents: 19697
diff changeset
160 ## Test input validation
28896
90fea9cc9caa test: Add expected error message <Invalid call> to BIST tests for nargin.
Rik <rik@octave.org>
parents: 27984
diff changeset
161 %!error <Invalid call> inpolygon ()
90fea9cc9caa test: Add expected error message <Invalid call> to BIST tests for nargin.
Rik <rik@octave.org>
parents: 27984
diff changeset
162 %!error <Invalid call> inpolygon (1, 2)
90fea9cc9caa test: Add expected error message <Invalid call> to BIST tests for nargin.
Rik <rik@octave.org>
parents: 27984
diff changeset
163 %!error <Invalid call> inpolygon (1, 2, 3)
21222
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
164 %!error <X and Y must be real> inpolygon (1i, 1, [3, 4], [5, 6])
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
165 %!error <X and Y must be real> inpolygon (1, {1}, [3, 4], [5, 6])
20133
bef9086a6725 inpolygon.m: Overhaul function and fix bug #40970.
Rik <rik@octave.org>
parents: 19833
diff changeset
166 %!error <X and Y must be .* the same size> inpolygon (1, [1,2], [3, 4], [5, 6])
21222
732ec49d1ec5 Fix regressions caused by ismatrix definition change (partial fix bug #47036).
Colin Macdonald <cbm@m.fsf.org>
parents: 20181
diff changeset
167 %!error <X and Y must be .* the same size> inpolygon (1, ones (1,1,2), [3, 4], [5, 6])
20133
bef9086a6725 inpolygon.m: Overhaul function and fix bug #40970.
Rik <rik@octave.org>
parents: 19833
diff changeset
168 %!error <XV and YV must be real vectors> inpolygon (1, 1, [3i, 4], [5, 6])
bef9086a6725 inpolygon.m: Overhaul function and fix bug #40970.
Rik <rik@octave.org>
parents: 19833
diff changeset
169 %!error <XV and YV must be real vectors> inpolygon (1, 1, [3, 4], {5, 6})
bef9086a6725 inpolygon.m: Overhaul function and fix bug #40970.
Rik <rik@octave.org>
parents: 19833
diff changeset
170 %!error <XV and YV must .* the same size> inpolygon ([1,2], [3, 4], [5, 6], 1)