Today i decided to make a new monitoring tool, and I needed to make a list of all permutations of 3 in a set of 22. The set happens to be hostnames of a private Tor network. Order is important, as forming 3-hop circuits through Tor is sequential, which is why i need permutations instead of combination's.
22 * 21 * 20 = 9240 permutations
Crap, I'm not really up on my combinatorial number theory, I guess I'll have to hack it up.
First I used an excel plugin to generate all the permutations.
But this ended up giving me 1408 invalid permutations, because the mix of sets had 10647 results. I copied the results into a text file and counted the number of lines as well as obtained the line numbers of the invalid permutations using this script:
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#!/bin/sh
tornames=("tornode01" "tornode02" "tornode03" "tornode04" "tornode05" \
"tornode06" "tornode07" "tornode08" "tornode09" "tornode10" \
"tornode11" "tornode12" "tornode13" "tornode14" "tornode15" \
"tornode16" "tornode17" "tornode18" "tornode19" "tornode20" \
"tornode21" "tornode22")
for i in ${tornames[*]};
do
while read line; do echo $line|tr " " "\n"|grep $i |wc -l; done < ./vc_list.bak > ./lines.$i
grep -rn '3\|2' ./lines.$i | cut -d: -f1 > ./lines.$i.ln
done
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It saved a bunch of files for me as: lines.[hostname], containing a number on each line indicating the number of times the hostname appears on each line.
Then it grep'd out the lines with a 2 or a 3, asking grep to return the line number, and cut the line number from the output to a file named: lines.[hostname].ln
Then at the command line I did this:
# cat ./lines.*.ln > line.numbers.all
# sed 's/.*/&d/g' ./line.numbers.all > ./delete.sed
# sed -f delete.sed ./file.master >> file.trimmed
Using a sed delete file...finally I had my 9240 valid permutations:
# cat ./file.trimmed | wc
9240 27720 254520
Next I want to make this text list into an array that I can `source` into the monitoring script as an array.
# rsync ./file.trimmed ./perms_array.sh
sed -i -e 's/^\./perms_array.sh
Almost done, I just need to fill in the array number with another sed expression.
# sed = ./perms_array.sh | sed 'N; s/^// ; s/\nperms\[// ; s/^/perms\[/' > \
./perms_array.final.sh
and now to put quotes around the array value:
# sed -e 's/\=/\=\"/' < ./perms_array.final > ./perms_array.final.new && rsync ./perms_array.final.tmp ./perms_array.final
# sed -e 's/$/\"/' < ./perms_array.final > ./perms_array.final.new && rsync ./perms_array.final.tmp ./perms_array.final
here's what the file looks like:
perms[1]="tornode01 tornode02 tornode03"
perms[2]="tornode01 tornode04 tornode05"
perms[3]="tornode01 tornode06 tornode07"
...
Now I can move on to write an essentially simple script that performs the test of all possible virtual circuits.
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