awk and trig functions Post: 302331052

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LEARN ABOUT OPENDARWIN

atan2

ATAN2(3)						   BSD Library Functions Manual 						  ATAN2(3)

NAME

     atan2 -- arc tangent function of two variables

SYNOPSIS

     #include <math.h>

     double
     atan2(double y, double x);

DESCRIPTION

     The atan2() function computes the principal value of the arc tangent of y/x, using the signs of both arguments to determine the quadrant of
     the return value.

SPECIAL VALUES

     atan2(+-0, -0) returns +-pi.

     atan2(+-0, +0) returns +-0.

     atan2(+-0, x) returns +-pi for x < 0.

     atan2(+-0, x) returns +-0 for x > 0.

     atan2(y, +-0) returns -pi/2 for y > 0.

     atan2(+-y, -infinity) returns +-pi for finite y > 0.

     atan2(+-y, +infinity) returns +-0 for finite y > 0.

     atan2(+-infinity, +x) returns +-pi/2 for finite x.

     atan2(+-infinity, -infinity) returns +-3*pi/4.

     atan2(+-infinity, +infinity) returns +-pi/4.

NOTES

     The atan2() function is used mostly to convert from rectangular (x,y) to polar (r,theta) coordinates that must satisfy x = r*cos theta and y
     = r*sin theta.  In general, conversions to polar coordinates should be computed thus:

	   r	:= hypot(x,y);	... := sqrt(x*x+y*y)
	   theta     := atan2(y,x).

SEE ALSO

     acos(3), asin(3), atan(3), cos(3), cosh(3), sin(3), sinh(3), tan(3), tanh(3), math(3),

STANDARDS

     The atan2() function conforms to ISO/IEC 9899:1999(E).

BSD
								 November 18, 2002							       BSD

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