Rfractran (version 1.0.1)

fracAns: A Q&D "Logulator" to Find Numbers of Interest From fracDo Output

Description

In nearly all cases FRACTRAN's "result" is the exponent of some number. This function takes the logarithm of the specified base and identifies values which are integers (or nearly so, to the specified precision).

Usage

fracAns(intvec, logbase, logprec = 1e-05)

Value

A vector of the integer values found

Arguments

intvec

A vector of bigq values, as returned from fracDo

logbase

The base of the desired logarithm, e.g. 2 or 10 in many cases.

logprec

A reasonably small value used to check whether the returned double should be considered to be an integer (thus ignoring binary precision errors)

Author

Carl Witthoft <[e-mail]>

Examples

##---The prime generator doesn't terminate, so look for values.
#start with 10,  and result includes a series of values 10^p , p prime 
fracp10 <- fracMake(c(7,99,13,39,36,10,49,7,1,91), c(3,98,49,35,91,143,13,11,2,1)) 
p10 <-fracDo(10,fractions = fracp10, tries = 1000)
foundp10 <-fracAns(p10,logbase = 10)
# [1] 1 2 3 5 7 # sorry about the "1" :-)