Assume there are two lines and each line is defined by two points.(e.g. (x1a,y1a) and (x2a,y2a) for line 1, (x1b,y1b) and (x2b,y2b) for line 2.). Consider also a square centered at the origin therefore these points are inside the square. How can we test whether a point inside the square (xu,yu) lies between these lines? Lines can be either parallel or intersecting (in such case, lines intersect outside the square).
%line 1
x1a=-2.5; y1a=-1.8; x2a=0.8; y2a=-2.5; %line2
x1b=-2.5; y1b=- 1.4; x2b=2.5; y2b=1.4; %square
xs=[-2.5 -2.5 2.5 2.5 -2.5] ; ys=[-2.5 2.5 2.5 -2.5 -2.5]; figure; plot([x1a x2a],[y1a y2a]) hold on plot([x1b x2b],[y1b y2b]) hold on plot(xs,ys,'-k','Linewidth',2) axis([-3 3 -3 3])
Assume the lines and square created above. How can we exactly test if (2,-2) is between lines inside the square but (-1,1) is not?
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