Polar Angles

angle(x, y) Returns the angle from the x-axis to a line containing the origin and the point (x,y). Results are in radians between 0 and 2π, excluding 2π.

atan2(x, y) Returns the angle from the x-axis to a line containing the origin and the point (x,y). Results are in radians between –π and π, excluding –π.

Arguments:

• x and y are real scalars, and must have the same dimensions.

Notes:

• The atan2 function is related to the functions atan and arg by the following relationships:

  atan2(x,y) = atan(y/x) (although atan returns values between –π/2 and π/2)

  – and –

  atan2(x,y) = arg(x + yi)

• If the result is positive, the angle is measured counterclockwise from the x-axis. If the result is negative, the angle is measured clockwise from the x-axis.