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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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