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A formula that give an angle from 0 to 2pi is:

f(x,y)=pi()-pi()/2(1+sign(x)) (1-sign(y^2))-pi()/4(2+sign(x))sign(y)

      -sign(x*y)*atan((abs(x)-abs(y))/(abs(x)+abs(y)))

There is x=x2-x1 and y=y2-y1,and the formula is working

for any value of x and y.For x=y=0 the result is undefined.