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# Atbash Cipher
Create an implementation of the atbash cipher, an ancient encryption system created in the Middle East.
The Atbash cipher is a simple substitution cipher that relies on
transposing all the letters in the alphabet such that the resulting
alphabet is backwards. The first letter is replaced with the last
letter, the second with the second-last, and so on.
An Atbash cipher for the Latin alphabet would be as follows:
```text
Plain: abcdefghijklmnopqrstuvwxyz
Cipher: zyxwvutsrqponmlkjihgfedcba
```
It is a very weak cipher because it only has one possible key, and it is
a simple monoalphabetic substitution cipher. However, this may not have
been an issue in the cipher's time.
Ciphertext is written out in groups of fixed length, the traditional group size
being 5 letters, and punctuation is excluded. This is to make it harder to guess
things based on word boundaries.
## Examples
- Encoding `test` gives `gvhg`
- Decoding `gvhg` gives `test`
- Decoding `gsvjf rxpyi ldmul cqfnk hlevi gsvoz abwlt` gives `thequickbrownfoxjumpsoverthelazydog`
Run the tests with:
```bash
bats atbash_cipher_test.sh
```
After the first test(s) pass, continue by commenting out or removing the
`[[ $BATS_RUN_SKIPPED == true ]] || skip`
annotations prepending other tests.
To run all tests, including the ones with `skip` annotations, run:
```bash
BATS_RUN_SKIPPED=true bats atbash_cipher_test.sh
```
## Source
Wikipedia [http://en.wikipedia.org/wiki/Atbash](http://en.wikipedia.org/wiki/Atbash)
## External utilities
`Bash` is a language to write "scripts" -- programs that can call
external tools, such as
[`sed`](https://www.gnu.org/software/sed/),
[`awk`](https://www.gnu.org/software/gawk/),
[`date`](https://www.gnu.org/software/coreutils/manual/html_node/date-invocation.html)
and even programs written in other programming languages,
like [`Python`](https://www.python.org/).
This track does not restrict the usage of these utilities, and as long
as your solution is portable between systems and does not require
installation of third party applications, feel free to use them to solve
the exercise.
For an extra challenge, if you would like to have a better understanding
of the language, try to re-implement the solution in pure `Bash`,
without using any external tools. Note that there are some types of
problems that bash cannot solve, such as performing floating point
arithmetic and manipulating dates: for those, you must call out to an
external tool.
## Submitting Incomplete Solutions
It's possible to submit an incomplete solution so you can see how others
have completed the exercise.

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#!/usr/bin/env bash
#
# External tools: none.
# Subshell: no.
#
# Tested on: bash 5.0, 3.2
#
# V1: initial version
# V2: changed +() to @() in args check. Fixed typo on lines 48-52 formulas.
shopt -s extglob
# set to mask to enable logs. 0: none, 255: all
(( debug=2#00000000 ))
#(( debug=2#00001111 ))
# $1: log level (mask), then strings to display.
debug () {
(( debug & $1 )) && shift && echo Line ${BASH_LINENO[0]}: "${@}" >&2
}
die () {
echo "${@}" >&2
exit 1
}
usage() {
die "usage: atbash_cypher.sh encode|decode text [...]"
}
# we will accept the syntax:
# atbash_cypher.sh encode|decode text [...]
# in case text is separated as multiple arguments, we will consider a space is
# in between.
# example:
# atbash_cypher.sh encode "I am happy"
# will also be accepted as:
# atbash_cypher.sh encode I am happy
# basic args check & set all chars to lowercase
(($# < 2)) || [[ "$1" != @(encode|decode) ]] && usage
action="$1"
shift
string="${*,,}"
len="${#string}"
debug 1 "string=$string" "len=$len"
# algorithm we will use:
# to get rev element c' of c in a consecutive integer n-m list :
# c = n+i i is distance from n to c
# c' = m-i and also reverse distance from m to c'
# ------------
# c+c' = n+m sum the 2
# c' = n+m-c after simplification
# for printf, a '<char> arg is the ascii value of <char>
# and yes, we should use a constant, any programmer knows ascii value of 'a'
# and # of letters in alphabet, we could simply set tval to 219
printf -v aval "%d" "'a" # 'a' ascii value
printf -v zval "%d" "'z" # 'z' ascii value
printf -v tval "%d" $((aval+zval)) # their sum
# tval=219 # correct code for this exercise, for me
debug 1 "aval:$aval zval:$zval tval:$tval"
# many options here:
# - for encode, add <spaces> in loop, or at the end
# - use a table with all alphabet ({a..z}), to avoid multiple printf
# - fill acceptable chars only (my choice), insert spaces at end.
# I preferred that one to avoid multiple encode/decode tests in loop.
# - likely many others
result="" # resulting string, with no spaces
for ((i=0; i<len; ++i)); do
c=${string:$i:1} # current char
printf -v cval "%d" "'$c" # $c's ascii value
debug 2 "c='$c' cval=$cval"
case "$c" in
[[:alpha:]]) # rev $c's in alphabet (with hex value)
printf -v rval "%x" $((tval - cval))
printf -v c "\\x$rval" # shellcheck unhappy here
debug 4 "rev c=$c"
;;
[![:digit:]]) # we avoid 1 case (digits)
continue
;;
esac
result+="$c"
done
# for encoding, we split in 5 chars groups.
if [[ $action == encode ]]; then
[[ $result =~ ${result//?/(.)} ]]
# we use REMATCH here, to avoid loop, but we could end with a space.
printf -v result "%c%c%c%c%c " "${BASH_REMATCH[@]:1}"
fi
debug 1 "result: =${result%% }="
echo "${result%% }" # fix possible REMATCH extra final space
exit 0
# emacs/vim settings.
# Local Variables:
# sh-basic-offset: 4
# indent-tabs-mode: nil
# comment-column: 40
# fill-column: 80
# End:
# vim: set tabstop=4 expandtab: