function a = area(x,y) % AREA Area of a planar polygon. % AREA(X,Y) Calculates the area of a 2-dimensional % polygon formed by vertices with coordinate vectors % X and Y. The result is direction-sensitive: the % area is positive if the bounding contour is counter- % clockwise and negative if it is clockwise. % % See also TRAPZ. % Copyright (c) 1995 by Kirill K. Pankratov, % kirill@plume.mit.edu. % 04/20/94, 05/20/95 % Make polygon closed ............. x = [x(:); x(1)]; y = [y(:); y(1)]; % Calculate contour integral Int -y*dx (same as Int x*dy). lx = length(x); a = -(x(2:lx)-x(1:lx-1))'*(y(1:lx-1)+y(2:lx))/2;