01-23-2020
I voted for the 6/7 letter word option for a couple of reasons. I feel the command(s) would be more self-documenting with longer names. Google, searches, etc for command will avoid false positives for the existing variant of command without capital letters.
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LEARN ABOUT DEBIAN
numtheory
math::numtheory(3tcl) Tcl Math Library math::numtheory(3tcl)
__________________________________________________________________________________________________________________________________________________
NAME
math::numtheory - Number Theory
SYNOPSIS
package require Tcl ?8.5?
package require math::numtheory ?1.0?
math::numtheory::isprime N ?option value ...?
_________________________________________________________________
DESCRIPTION
This package is for collecting various number-theoretic operations, though at the moment it only provides that of testing whether an inte-
ger is a prime.
math::numtheory::isprime N ?option value ...?
The isprime command tests whether the integer N is a prime, returning a boolean true value for prime N and a boolean false value for
non-prime N. The formal definition of 'prime' used is the conventional, that the number being tested is greater than 1 and only has
trivial divisors.
To be precise, the return value is one of 0 (if N is definitely not a prime), 1 (if N is definitely a prime), and on (if N is proba-
bly prime); the latter two are both boolean true values. The case that an integer may be classified as "probably prime" arises
because the Miller-Rabin algorithm used in the test implementation is basically probabilistic, and may if we are unlucky fail to
detect that a number is in fact composite. Options may be used to select the risk of such "false positives" in the test. 1 is
returned for "small" N (which currently means N < 118670087467), where it is known that no false positives are possible.
The only option currently defined is:
-randommr repetitions
which controls how many times the Miller-Rabin test should be repeated with randomly chosen bases. Each repetition reduces
the probability of a false positive by a factor at least 4. The default for repetitions is 4.
Unknown options are silently ignored.
KEYWORDS
number theory, prime
CATEGORY
Mathematics
COPYRIGHT
Copyright (c) 2010 Lars Hellstrom <Lars dot Hellstrom at residenset dot net>
math 1.0 math::numtheory(3tcl)