/usr/share/octave/packages/geometry-1.7.0/geom2d/angleSort.m is in octave-geometry 1.7.0-1build1.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 | ## Copyright (C) 2004-2011 David Legland <david.legland@grignon.inra.fr>
## Copyright (C) 2004-2011 INRA - CEPIA Nantes - MIAJ (Jouy-en-Josas)
## Copyright (C) 2012 Adapted to Octave by Juan Pablo Carbajal <carbajal@ifi.uzh.ch>
## All rights reserved.
##
## Redistribution and use in source and binary forms, with or without
## modification, are permitted provided that the following conditions are met:
##
## 1 Redistributions of source code must retain the above copyright notice,
## this list of conditions and the following disclaimer.
## 2 Redistributions in binary form must reproduce the above copyright
## notice, this list of conditions and the following disclaimer in the
## documentation and/or other materials provided with the distribution.
##
## THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS ''AS IS''
## AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
## IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
## ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE FOR
## ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
## DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR
## SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER
## CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,
## OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
## OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
## -*- texinfo -*-
## @deftypefn {Function File} {varargout =} angleSort (@var{pts}, varargin)
## Sort points in the plane according to their angle to origin
##
##
## PTS2 = angleSort(PTS);
## Computes angle of points with origin, and sort points with increasing
## angles in Counter-Clockwise direction.
##
## PTS2 = angleSort(PTS, PTS0);
## Computes angles between each point of PTS and PT0, which can be
## different from origin.
##
## PTS2 = angleSort(..., THETA0);
## Specifies the starting angle for sorting.
##
## [PTS2, I] = angleSort(...);
## Also returns in I the indices of PTS, such that PTS2 = PTS(I, :);
##
## @seealso{points2d, angles2d, angle2points, normalizeAngle}
## @end deftypefn
function varargout = angleSort(pts, varargin)
# default values
pt0 = [0 0];
theta0 = 0;
if length(varargin)==1
var = varargin{1};
if size(var, 2)==1
# specify angle
theta0 = var;
else
pt0 = var;
end
elseif length(varargin)==2
pt0 = varargin{1};
theta0 = varargin{2};
end
n = size(pts, 1);
pts2 = pts - repmat(pt0, [n 1]);
angle = lineAngle([zeros(n, 2) pts2]);
angle = mod(angle - theta0 + 2*pi, 2*pi);
[dummy, I] = sort(angle);
# format output
if nargout<2
varargout{1} = pts(I, :);
elseif nargout==2
varargout{1} = pts(I, :);
varargout{2} = I;
end
endfunction
%!shared p1,p2,p3,p4,pts,center
%! p1 = [0 0];
%! p2 = [10 0];
%! p3 = [10 10];
%! p4 = [0 10];
%! pts = [p1;p2;p3;p4];
%! center = [5 5];
%!test
%! expected = pts([3 4 1 2], :);
%! assert (expected, angleSort (pts, center), 1e-6);
%!assert (pts, angleSort (pts, center, -pi), 1e-6);
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