📄 compmap.m
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function compmap(strfun,xmin,xmax,ymin,ymax)
% This function maps a mesh of lines parallel
% to the coordinate axes in the complex plane
% into the image of the rectangular mesh under
% the function defined by strfun, a character
% string specifing the function.
fun=fcnchk(strfun,'vectorized');
dx=(xmax-xmin)/15;
dy=(ymax-ymin)/15;
v=linspace(ymin,ymax,100);
h=linspace(xmin,xmax,100);
%First map the vertical lines
for x=xmin:dx:xmax
mapvert=fun(x+v*i);
plot(mapvert); hold on;
end
%Now map the horizontal lines
for y=ymin:dy:ymax
maphoriz=fun(h+y*i);
plot(maphoriz)
end
axis equal;
hold off;
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