The hardware and bandwidth for this mirror is donated by dogado GmbH, the Webhosting and Full Service-Cloud Provider. Check out our Wordpress Tutorial.
If you wish to report a bug, or if you are interested in having us mirror your free-software or open-source project, please feel free to contact us at mirror[@]dogado.de.

Hailstone Sequences

Getting Started

After following the “Get Started + Install” guide;

library(collatz)
# Optionally
library(gmp)

hailstone_sequence

Compute a hailstone sequence, which defaults to the total stopping time;

hailstone_sequence(5)
#> $values
#> $values[[1]]
#> [1] 5
#> 
#> $values[[2]]
#> [1] 16
#> 
#> $values[[3]]
#> [1] 8
#> 
#> $values[[4]]
#> [1] 4
#> 
#> $values[[5]]
#> [1] 2
#> 
#> $values[[6]]
#> [1] 1
#> 
#> 
#> $terminalCondition
#> [1] "TOTAL_STOPPING_TIME"
#> 
#> $terminalStatus
#> [1] 5

Or only compute down to the regular stopping time;

hailstone_sequence(5, total_stopping_time=FALSE)
#> $values
#> $values[[1]]
#> [1] 5
#> 
#> $values[[2]]
#> [1] 16
#> 
#> $values[[3]]
#> [1] 8
#> 
#> $values[[4]]
#> [1] 4
#> 
#> 
#> $terminalCondition
#> [1] "STOPPING_TIME"
#> 
#> $terminalStatus
#> [1] 3

Remove verbose messaging;

hailstone_sequence(5, verbose=FALSE)
#> [[1]]
#> [1] 5
#> 
#> [[2]]
#> [1] 16
#> 
#> [[3]]
#> [1] 8
#> 
#> [[4]]
#> [1] 4
#> 
#> [[5]]
#> [1] 2
#> 
#> [[6]]
#> [1] 1

It will also stop on finding a cycle;

hailstone_sequence(-56)
#> $values
#> $values[[1]]
#> [1] -56
#> 
#> $values[[2]]
#> [1] -28
#> 
#> $values[[3]]
#> [1] -14
#> 
#> $values[[4]]
#> [1] -7
#> 
#> $values[[5]]
#> [1] -20
#> 
#> $values[[6]]
#> [1] -10
#> 
#> $values[[7]]
#> [1] -5
#> 
#> $values[[8]]
#> [1] -14
#> 
#> 
#> $terminalCondition
#> [1] "CYCLE_LENGTH"
#> 
#> $terminalStatus
#> [1] 5

And can be parameterised;

hailstone_sequence(3, -1, 3, 1)
#> $values
#> $values[[1]]
#> [1] 3
#> 
#> $values[[2]]
#> [1] -3
#> 
#> $values[[3]]
#> [1] 3
#> 
#> 
#> $terminalCondition
#> [1] "CYCLE_LENGTH"
#> 
#> $terminalStatus
#> [1] 2

These binaries (installable software) and packages are in development.
They may not be fully stable and should be used with caution. We make no claims about them.
Health stats visible at Monitor.