0
SUMX = 0
SUMY = 0
N =0
FOR each angle a (in radians) DO
SUMX = SUMX + COS(a)
SUMY = SUMY + SIN(a)
N = N + 1
ENDFOR
AVGX = SUMX/N
AVGY = SUMY/N
IF (AVGX,AVGY) is "too close" to (0,0) THEN
report directionless, NULL VECTOR
ELSE
AVERAGEANGLE = ARCTAN(AVGY,AVGX)
ENDIF
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