?? inside.m
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function result=inside(xpt,ypt,xpoly,ypoly)
% result = inside(xpt,ypt,xpoly,ypoly)
%
% function returns 1 if (xpt,ypt) is inside the polygon described by
% xpoly and ypoly and 0 otherwise
%
% xpt = x coordinates of the test points. May be a scalar, vector or matrix.
% ypt = y coordinates of the test pts
% xpoly = vector of the x coordinates of the polygon vertices
% The last vertex is tested against the first and is discarded
% if it is identical
% ypoly = vector of the y coordinates of the polygon vertices
%
% result = vector of boolean values the same size as xpt(:). Points inside
% the polygon may be addressed as xpt(result) and ypt(result) while
% those outside are xpt(~result) and ypt(~result)
%
% Transcribed from FORTAN by G.F. Margrave, October 1993
% FORTRAN written by T.N. Bishop, May 1989
% Algorithm after B.J. Larkin, Computer & Geosciences, Vol 14, pp1-14, 1988
% Original algorithm due to K.R. Anderson, Mathematical Geology, Vol 8, no 1,
% 1976, pp 105-106
%
% NOTE: It is illegal for you to use this software for a purpose other
% than non-profit education or research UNLESS you are employed by a CREWES
% Project sponsor. By using this software, you are agreeing to the terms
% detailed in this software's Matlab source file.
% BEGIN TERMS OF USE LICENSE
%
% This SOFTWARE is maintained by the CREWES Project at the Department
% of Geology and Geophysics of the University of Calgary, Calgary,
% Alberta, Canada. The copyright and ownership is jointly held by
% its author (identified above) and the CREWES Project. The CREWES
% project may be contacted via email at: crewesinfo@crewes.org
%
% The term 'SOFTWARE' refers to the Matlab source code, translations to
% any other computer language, or object code
%
% Terms of use of this SOFTWARE
%
% 1) Use of this SOFTWARE by any for-profit commercial organization is
% expressly forbidden unless said organization is a CREWES Project
% Sponsor.
%
% 2) A CREWES Project sponsor may use this SOFTWARE under the terms of the
% CREWES Project Sponsorship agreement.
%
% 3) A student or employee of a non-profit educational institution may
% use this SOFTWARE subject to the following terms and conditions:
% - this SOFTWARE is for teaching or research purposes only.
% - this SOFTWARE may be distributed to other students or researchers
% provided that these license terms are included.
% - reselling the SOFTWARE, or including it or any portion of it, in any
% software that will be resold is expressly forbidden.
% - transfering the SOFTWARE in any form to a commercial firm or any
% other for-profit organization is expressly forbidden.
%
% END TERMS OF USE LICENSE
[m,n]=size(xpoly);
if( m~= 1) xpoly = xpoly'; end % make sure we have row vectors
[m,n]=size(ypoly);
if( m~= 1) ypoly = ypoly'; end % make sure we have row vectors
% determine the number of vertices
nvert = length(xpoly);
if( nvert ~= length(ypoly) )
error( 'xpoly and ypoly must be the same length' );
end
% check for last pt == first pt
if( (xpoly(1)==xpoly(nvert))&(ypoly(1)==ypoly(nvert)))
xpoly = xpoly(1:nvert-1);
ypoly = ypoly(1:nvert-1);
nvert=nvert-1;
end
if( nvert < 3 )
error( 'polygon must have more than 2 vertices');
end
% count number of polygon sides to the right of the point
xprev = [xpoly(nvert) xpoly(1:nvert-1)];
yprev = [ypoly(nvert) ypoly(1:nvert-1)];
xpt=xpt(:);ypt=ypt(:);
result=zeros(size(xpt)); % guilty until proven innocent
for n=1:length(result)
for k=1:nvert
test1 = ypt(n) > yprev(k);
test2 = ypt(n) <= ypoly(k);
if( test1 == test2 )
grad = (xpoly(k)-xprev(k))/(ypoly(k)-yprev(k));
xint = xprev(k) - grad*yprev(k);
xcut = grad*ypt(n)+xint;
if( xpt(n) < xcut ) result(n) = ~result(n); end
end
end
end
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