Synopsis
double atan2(double x,
             double y);
Description

atan2 returns the value, in radians, of the inverse circular tangent of y divided by x using the signs of x and y to compute the quadrant of the return value. The principal value lies in the interval [?½?/2, +½?] radians. If x = y = 0, errno is set to EDOM and atan2 returns HUGE_VAL.

atan2(x, NaN) is NaN.
atan2(NaN, x) is NaN.
atan2(±0, +(anything but NaN)) is ±0.
atan2(±0, ?(anything but NaN)) is ±?.
atan2(±(anything but 0 and NaN), 0) is ±½?.
atan2(±(anything but ∞ and NaN), +∞) is ±0.
atan2(±(anything but ∞ and NaN), ?∞) is ±?.
atan2(±∞, +∞) is ±¼?.
atan2(±∞, ?∞) is ±¾?.
atan2(±∞, (anything but 0, NaN, and ∞)) is ±½?.