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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
commit cb5bb5e222
199093 changed files with 3378972 additions and 0 deletions

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### In the file hailstone.tcl ###
package provide hailstone 1.0
proc hailstone n {
while 1 {
lappend seq $n
if {$n == 1} {return $seq}
set n [expr {$n & 1 ? $n*3+1 : $n/2}]
}
}
# If directly executed, run demo code
if {[info script] eq $::argv0} {
set h27 [hailstone 27]
puts "h27 len=[llength $h27]"
puts "head4 = [lrange $h27 0 3]"
puts "tail4 = [lrange $h27 end-3 end]"
set maxlen [set max 0]
for {set i 1} {$i<100000} {incr i} {
set l [llength [hailstone $i]]
if {$l>$maxlen} {set maxlen $l;set max $i}
}
puts "max is $max, with length $maxlen"
}

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pkg_mkIndex .

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#!/usr/bin/tclsh8.6
package require Tcl 8.6 ;# For [lsort -stride] option
lappend auto_path . ;# Or wherever it is located
package require hailstone 1.0
# Construct a histogram of length frequencies
set histogram {}
for {set n 1} {$n < 100000} {incr n} {
dict incr histogram [llength [hailstone $n]]
}
# Identify the most common length by sorting...
set sortedHist [lsort -decreasing -stride 2 -index 1 $histogram]
lassign $sortedHist mostCommonLength freq
puts "most common length is $mostCommonLength, with frequency $freq"