psh-fractional/multiplication/mul

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#!/bin/sh
# $1 * $2
# count the total decimal places
countd() {
m="$1"; n=${2:-0}; while [ "$m" ]; do
: $((n+=1))
next="${m%?}"
[ "${m#$next}" = "." ] && {
break
} || {
m="$next"
}
done
echo "$n"
}
dn=$(countd "$2" $(countd "$1")); [ "$dn" -gt 0 ] && : $((dn-=2)) # decimal count
# remove all decimal places
set -- "${1%.*}${1#*.}" "${2%.*}${2#*.}"
m="$2"; n=0; while [ "$m" ]; do
next="${m%?}" # current is ${m#$next}
z=""; zn=0; until [ "$zn" -eq "$n" ]; do
z="${z}0"
: $((zn+=1))
done
o="$((o+$((${m#$next}*$1))$z))"
m="$next"
: $((n+=1))
done # long multiplication
# add back decimal point using $dn
n=0; m="$o"; [ "$dn" -gt 0 ] && while [ "$m" ]; do
next="${m%?}"
: $((n+=1))
[ "$n" -eq "$dn" ] && o="$next.${o#${m%?}}"
m="$next"
done
echo "$o"