Write and test a routine to compute arctan x for x in radians as follows. If 0? x ?1.7×10−9, set arctan x ≈ x. If 1.7×10−9 < x ? ×10−2, use the series approximation
Finally, set arctan x ≈ a + b(c + arctan u).
Note: This algorithm uses telescoped rational and Gaussian continued fractions.
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