A spiral path is defined by phi = arange(0, 10π, 0.1), x = phi·cos(phi), y = phi·sin(phi). Resample it with 200 equidistant points along its arc length. Return a (2, 200) array [x_int, y_int].
phi = arange(0, 10π, 0.1)
x = phi·cos(phi)
y = phi·sin(phi)
(2, 200)
[x_int, y_int]
solve(...)