08-16-2018
When measuring, couple of things to consider.
Todays OS and filesystems are
smart, they cache, prefetch and similar math magic being done falling into probability and combinatorics division.
So far and deep in HW that they give you other users data when
asked nicely
Filesystems will cache the first 10 MB read, so second read will be amazingly fast(er).
Be sure to take above into consideration during testing.
This was not done to compare ruby or awk per se, just to point out not to limit yourself to certain path, but use the right tool for the task.
As for the strace options, i've read the manual a bit before, to find an option, since i was sure GNU stuff has that nicely formatted without effort
Regards
Peasant.
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LEARN ABOUT OSX
combinatorics
math::combinatorics(n) Tcl Math Library math::combinatorics(n)
__________________________________________________________________________________________________________________________________________________
NAME
math::combinatorics - Combinatorial functions in the Tcl Math Library
SYNOPSIS
package require Tcl 8.2
package require math ?1.2.3?
::math::ln_Gamma z
::math::factorial x
::math::choose n k
::math::Beta z w
_________________________________________________________________
DESCRIPTION
The math package contains implementations of several functions useful in combinatorial problems.
COMMANDS
::math::ln_Gamma z
Returns the natural logarithm of the Gamma function for the argument z.
The Gamma function is defined as the improper integral from zero to positive infinity of
t**(x-1)*exp(-t) dt
The approximation used in the Tcl Math Library is from Lanczos, ISIAM J. Numerical Analysis, series B, volume 1, p. 86. For "x >
1", the absolute error of the result is claimed to be smaller than 5.5*10**-10 -- that is, the resulting value of Gamma when
exp( ln_Gamma( x) )
is computed is expected to be precise to better than nine significant figures.
::math::factorial x
Returns the factorial of the argument x.
For integer x, 0 <= x <= 12, an exact integer result is returned.
For integer x, 13 <= x <= 21, an exact floating-point result is returned on machines with IEEE floating point.
For integer x, 22 <= x <= 170, the result is exact to 1 ULP.
For real x, x >= 0, the result is approximated by computing Gamma(x+1) using the ::math::ln_Gamma function, and the result is
expected to be precise to better than nine significant figures.
It is an error to present x <= -1 or x > 170, or a value of x that is not numeric.
::math::choose n k
Returns the binomial coefficient C(n, k)
C(n,k) = n! / k! (n-k)!
If both parameters are integers and the result fits in 32 bits, the result is rounded to an integer.
Integer results are exact up to at least n = 34. Floating point results are precise to better than nine significant figures.
::math::Beta z w
Returns the Beta function of the parameters z and w.
Beta(z,w) = Beta(w,z) = Gamma(z) * Gamma(w) / Gamma(z+w)
Results are returned as a floating point number precise to better than nine significant digits provided that w and z are both at
least 1.
BUGS, IDEAS, FEEDBACK
This document, and the package it describes, will undoubtedly contain bugs and other problems. Please report such in the category math of
the Tcllib SF Trackers [http://sourceforge.net/tracker/?group_id=12883]. Please also report any ideas for enhancements you may have for
either package and/or documentation.
CATEGORY
Mathematics
math 1.2.3 math::combinatorics(n)