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Full Discussion: taking the Log2 values
Top Forums Shell Programming and Scripting taking the Log2 values Post 302340970 by KenJackson on Tuesday 4th of August 2009 08:31:27 PM
Old 08-04-2009
I don't know awk, but if you can take a log, you can take a base 2 log.

Given that you know X and you want to know log2 X:
log2 X = Y
2 ** (log2 X) = X = 2 ** Y
log X = Y log 2
Y = log X / log 2

Or roughly

log2 X = 3.322 log X


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LOG(3)							   BSD Library Functions Manual 						    LOG(3)

log, log2, log10, log1p, -- logarithm functions SYNOPSIS
#include <math.h> double log(double x); double log2(double x); double log10(double x); double log1p(double x); DESCRIPTION
The log() function computes the value of the natural logarithm of argument x. The log2() function computes the value of the logarithm of argument x to base 2. The log10() function computes the value of the logarithm of argument x to base 10. The log1p() function computes the value of log(1+x) accurately even for very small values of x. SPECIAL VALUES
log(+-0) , log2(+-0) , and log10(+-0) return -infinity and raise the "divide-by-zero" floating-point exception. log(1) , log2(1) , and log10(1) return +0. log(x) , log2(x) , and log10(x) return a NaN and raise the "invalid" floating-point exception for x < 0. log(+infinity) , log2(+infinity) , and log10(+infinity) return +infinity. log1p(+-0) returns +-0. log1p(-1) returns -infinity and raises the "divide-by-zero" floating-point exception. log1p(x) returns a NaN and raises the "invalid" floating-point exception for x < -1. log1p(+infinity) returns +infinity. SEE ALSO
math(3), exp(3), exp2(3), expm1(3), pow(3), infnan(3) STANDARDS
The log() , log2() , log10() , and log1p() functions conform to ISO/IEC 9899:1999(E). 4th Berkeley Distribution July 2, 2003 4th Berkeley Distribution

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