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## Copyright (C) 2015-2019 - Philip Nienhuis
## Copyright (C) 2017 - Juan Pablo Carbajal
## Copyright (C) 2017 - Piyush Jain
##
## This program is free software; you can redistribute it and/or modify it
## under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 3 of the License, or
## (at your option) any later version.
##
## This program is distributed in the hope that it will be useful,
## but WITHOUT ANY WARRANTY; without even the implied warranty of
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
## GNU General Public License for more details.
##
## You should have received a copy of the GNU General Public License
## along with this program. If not, see <http://www.gnu.org/licenses/>.
## -*- texinfo -*-
## @deffn {} [@var{outpol}, @var{npol}] = clipPolygon_clipper (@var{inpol}, @var{clippol})
## @deffnx {} [@var{outpol}, @var{npol}] = clipPolygon_clipper (@var{inpol}, @var{clippol}, @var{op})
## @deffnx {} [@var{outpol}, @var{npol}] = clipPolygon_clipper (@var{inpol}, @var{clippol}, @var{op}, @var{rules}, @var{rulec})
## Perform boolean operation on polygon(s) using the Clipper library.
##
## @var{inpol} = Nx2 matrix of (X, Y) coordinates constituting the polygons(s)
## to be clipped. Polygons are separated by [NaN NaN] rows. @var{clippol} =
## another Nx2 matrix of (X, Y) coordinates representing the clip polygon(s).
##
## Optional argument @var{op}, the boolean operation, can be:
##
## @itemize
## @item 0: difference @var{inpol} - @var{clippol}
##
## @item 1: intersection ("AND") of @var{inpol} and @var{clippol} (= default)
##
## @item 2: exclusiveOR ("XOR") of @var{inpol} and @var{clippol}
##
## @item 3: union ("OR") of @var{inpol} and @var{clippol}
## @end itemize
##
## In addition a rule can be specified to instruct polyclip how to assess
## holes, or rather, how to assess polygon fill. This works as follows: start
## with a winding number of zero (0). From a point outside all polygons
## specified in @var{INPOL}, go to the center of the innermost polygon and note
## which polygons are crossed. For each polygon boundary crossing from right
## to left, increase the winding number, while for each polygon crossing from
## left to right, decrement it, and then assign it to the crossed polygon.
## @var{rules} and @var{rulec} can be set individually for subject and clip
## polygons, respectively, as follows:
##
## @itemize
## @item 0 Even-Odd, also called Alternate (= default):
## The first polygon crossed specifies the outer boundary of a filled polygon,
## the next polygon (if present) specifies the inner boundary of that filled
## polygon, and so on. Winding direction (clockwise or counterclockwise) is
## irrelevant here.
##
## @item 1 Non-Zero:
## All polygons with a non-zero winding number are filled.
##
## @item 2 Positive:
## All polygons with a winding number > 0 are filled. This is the usual setting
## for counterclockwise polygons to be the outer, and clockwise polygons to be
## the inner boundary ("holes") of complex polygons.
##
## @item 3 Negative:
## All polygons with a winding number < 0 are filled.
## @end itemize
## (for details see [1])
##
## Output array @var{outpol} will be an Nx2 array of polygons resulting from
## the requested boolean operation, or in case of just one input argument an
## Nx1 array indicating winding direction of each subpolygon in input argument
## @var{inpol}.
##
## [1]: @uref{http://www.angusj.com/delphi/clipper/documentation/Docs/Units/ClipperLib/Types/PolyFillType.htm}
##
## @seealso{clipPolygon_mrf,clipPolygon}
## @end deffn
## Author: Philip Nienhuis <prnienhuis@users.sf.net>
## Created: 2015-05-03
## Based on Clipper library, polyclipping.sf.net, 3rd Party, Matlab
function [outpoly, npol] = clipPolygon_clipper (inpoly, clippoly, method=1, rules=0, rulec=0)
## Input validation
if (nargin < 3)
print_usage ();
endif
if (! isnumeric (inpoly) || size (inpoly, 2) < 2)
error ("Octave:invalid-input-arg", ...
"clipPolygon: inpoly should be a numeric Nx2 array");
endif
if (! isnumeric (clippoly) || size (clippoly, 2) < 2)
error ("Octave:invalid-input-arg", ...
"clipPolygon: clippoly should be a numeric Nx2 array");
elseif (! isnumeric (method) || method < 0 || method > 3)
error ("Octave:invalid-input-arg", ...
"clipPolygon: operation must be a number in the range [0..3]");
elseif (! isnumeric (rules) || ! isnumeric (rulec) || rules < 0 || rulec < 0)
error ("Octave:invalid-input-arg", ...
"clipPolygon: fill type rules must be nummbers in range [0..3]");
endif
[inpol, xy_mean, xy_magn] = __dbl2int64__ (inpoly, clippoly);
clpol = __dbl2int64__ (clippoly, [], xy_mean, xy_magn);
## Perform boolean operation
outpol = clipper (inpol, clpol, method, rules, rulec);
npol = numel (outpol);
if (! isempty (outpol))
## Morph struct output into [X,Y] array. Put NaNs between sub-polys. First X:
[tmp(1:2:2*npol, 1)] = deal ({outpol.x});
[tmp(2:2:2*npol, 1)] = ...
cellfun (@(x) [x(1); NaN], tmp(1:2:2*npol, 1), "uni", 0);
## Convert back from in64 into double, wipe trailing NaN
X = double (cell2mat (tmp))(1:end-1);
## Y-coordinates:
[tmp(1:2:2*npol, 1)] = deal ({outpol.y});
[tmp(2:2:2*npol, 1)] = ...
cellfun (@(y) [y(1); NaN], tmp(1:2:2*npol, 1), "uni", 0);
Y = double (cell2mat (tmp))(1:end-1);
outpoly = ([X Y] / xy_magn) + xy_mean;
else
outpoly = zeros (0, 2);
endif
endfunction
%!demo
%! pol1 = [2 2; 6 2; 6 6; 2 6; 2 2; NaN NaN; 3 3; 3 5; 5 5; 5 3; 3 3];
%! pol2 = [1 2; 7 4; 4 7; 1 2; NaN NaN; 2.5 3; 5.5 4; 4 5.5; 2.5 3];
%! lw = 2;
%!
%! subplot (2, 7, [1 2])
%! pol1a = polygon2patch (pol1);
%! patch (pol1a(:, 1), pol1a(:, 2), 'facecolor', 'c', 'edgecolor', 'k', 'linewidth', lw);
%! axis image
%! title ("1. Subject polygon")
%! axis off
%!
%! subplot (2, 7, [3 4])
%! patch (pol1a(:, 1), pol1a(:, 2), 'facecolor', 'c', 'edgecolor', 'none');
%! hold on
%! pol2a = polygon2patch (pol2);
%! patch (pol2a(:, 1), pol2a(:, 2), 'facecolor', 'y', 'edgecolor', 'b', 'linewidth', lw);
%! axis image
%! title "2. Clip polygon"
%! axis off
%!
%! op = {"Sub - clip", "AND / Intersection", "Exclusive OR", "OR / Union"};
%! for i=1:numel(op)
%! subplot (6, 4, [12 16]+i);
%! [opol, npol] = clipPolygon_clipper (pol1, pol2, i-1);
%! opol = polygon2patch (opol);
%! patch (pol1a(:, 1), pol1a(:, 2), 'facecolor', 'c', 'edgecolor', 'none');
%! hold on
%! patch (pol2a(:, 1), pol2a(:, 2), 'facecolor', 'y', 'edgecolor', 'none');
%! patch (opol(:,1),opol(:,2), 'facecolor', 'g', 'edgecolor', 'r', ...
%! 'linewidth', lw);
%! axis image
%! grid on
%! title (sprintf("%d. %s", i+3, op{i}));
%! axis off
%! endfor
%!
%! subplot (2, 7, [6 7]);
%! [opol, npol] = clipPolygon_clipper (pol2, pol1, 0);
%! opol = polygon2patch (opol);
%! patch (pol1a(:, 1), pol1a(:, 2), 'facecolor', 'c', 'edgecolor', 'none');
%! hold on
%! patch (pol2a(:, 1), pol2a(:, 2), 'facecolor', 'y', 'edgecolor', 'none');
%! patch (opol(:,1),opol(:,2), 'facecolor', 'g', 'edgecolor', 'r', ...
%! 'linewidth', lw);
%! axis image
%! grid on
%! axis off
%! title "3. Clip - sub";
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