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Full Discussion: awk and trig functions
Top Forums Shell Programming and Scripting awk and trig functions Post 302334479 by ubeejani on Wednesday 15th of July 2009 04:33:28 PM
Old 07-15-2009
Hello,
I want to calculate distance between two GPS coordinates(Latitude A, Longitude A, Latitude B, Longitude B). By Spherical Law, the formula is:
distance= ACOS ( SIN(latA) * SIN(latB) + COS(latA) * COS(latB) * COS(longB-LongA)) * R
where R= Radius of the earth(6371)
As there is no ACOS function in awk, therefore I have to use the following method:
function acos(x) { return atan2(sqrt(1-x*x), x) }
value = sin(latA) * sin(latB) + cos(latA) * cos(latB) * cos(longB-LongA)
distance = acos(value)*R
But I don't know when I calculate the distance using this method, I get different value from Spherical law formula. For Spherical Law I use MS Excel to calculate the value.
I need your help please.Thanks a lot.
Regards,
Ubee
 

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LEARN ABOUT NETBSD

cos

COS(3)							   BSD Library Functions Manual 						    COS(3)

NAME

     cos, cosf -- cosine function

LIBRARY

     Math Library (libm, -lm)

SYNOPSIS

     #include <math.h>

     double
     cos(double x);

     float
     cosf(float x);

DESCRIPTION

     The cos() and cosf() functions compute the cosine of x (measured in radians).  A large magnitude argument may yield a result with little or
     no significance.  For a discussion of error due to roundoff, see math(3).

RETURN VALUES

     The cos() function returns the cosine value.

SEE ALSO

     acos(3), asin(3), atan(3), atan2(3), cosh(3), math(3), sin(3), sinh(3), tan(3), tanh(3)

STANDARDS

     The cos() function conforms to ANSI X3.159-1989 (``ANSI C89'').

BSD
								    May 2, 1991 							       BSD
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