mirror of
https://dicksdeathabove.xyz/~mia/psh-fractional
synced 2024-09-19 16:40:44 +00:00
108 lines
2.7 KiB
Bash
Executable file
108 lines
2.7 KiB
Bash
Executable file
#!/bin/sh
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s() {
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n=$1; i=1; while [ "$n" -le $2 ]; do
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echo "$n"; : $((n+=i))
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done
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} # seq
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fd() { # return first digit of $1
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x="$1"; until [ "${#x}" -eq 1 ]; do
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x="${x%?}"
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done
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echo "$x"
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}
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ld() { # $1/$2
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di="$1"; div="$2"; count="$3"
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case "$div" in
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*'.'*)
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sp=0; sdiv="${div%%.*}"; IFS="."; set -- ${div}; div="${1}${2}"; unset IFS
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sp="$((${#div}-${#sdiv}))"
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esac
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# determine where the decimal point is -- if present
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case "$di" in
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*'.'*)
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dp=0; t="$di"; while :; do # use while true + case/break
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t="${t#?}"; : $((dp+=1))
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case "$t" in
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'.'*) break
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esac
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done
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;;
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*) dp=0
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esac
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[ "$dp" -gt 0 ] && {
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IFS="."; set -- ${di}; di="${1}${2}"; unset IFS
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}
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#echo "$sp $div ${di}/${#di}"
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[ "$sp" ] && {
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ss="${#di}"; : $((ss-=dp)); : $((ss+=sp)); : $((ss+=1))
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until [ "${#div}" -eq "$ss" ]; do
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div="${div}0"
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done
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}
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#echo "-"
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o="$((di/div))"; dp="${#o}"
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[ "${#o}" -eq 0 ] && : $((count+=2))
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: $((count+=${#o}))
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until [ "${#di}" -eq "$count" ]; do
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di="${di}0"
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done
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set -- "$1" "$2" "${3:-9}" "$di" "$sd"
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unset IFS o; n=0; for i in $(s 1 $count); do
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fd="$(fd $di)" # fd is needed later
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#echo "$fd";
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[ "$i" -gt 1 ] && {
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fd="${sd}${fd}"
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#echo "$fd"
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}
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sd="$((fd/div))"; [ "$sd" -eq 0 ] && : $((count+=1))
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o="${o}${sd}"; sd="$((sd*div))"
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#printf " %s\n- %s\n" "$fd" "$sd"
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sd="$((fd-sd))"
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#echo "| $sd"
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[ "$sd" -eq 0 ] && {
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n=0
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break
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}
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# now pull down # redefine $di
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di="${di#?}" # $fd$sd
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: $((n+=1))
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done
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[ "$n" -gt 0 ] && {
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count=$((count+n))
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} || count=0
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#echo "$fd $di/$4 - $div / $dp -- $sp | $count"
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# do again if $((count-n)) is > 0
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[ "$count" -gt 0 ] && {
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di="$4"; sd="$5"; o=""; until [ "${#di}" -eq "$count" ]; do
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di="${di}0"
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done
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for i in $(s 1 $count); do
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fd="$(fd $di)" # fd is needed later
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[ "$i" -gt 1 ] && fd="${sd}${fd}"
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sd="$((fd/div))"; o="${o}${sd}"; sd="$((sd*div))"; sd="$((fd-sd))"
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[ "$sd" -eq 0 ] && break
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di="${di#?}"
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done
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}
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until [ "${o#0}" = "$o" ]; do
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o="${o#0}"
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done
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[ "$dp" -gt 0 -a "$fd" -ne "$1" ] && {
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[ "$t" ] || : $((dp+=1))
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[ "$t" ] && : $((dp-=1))
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[ "$sp" ] && : $((dp+=1))
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[ "${sp:-0}" -gt 1 ] && : $((dp+=1))
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#echo "$o $dp/$sp | ${#o}"
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do="$o"; [ "${#do}" -gt "$dp" ] && until [ "${#do}" -eq "$dp" ]; do
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do="${do%?}"
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done
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[ "$1" -lt "$2" ] && do="${do%?}"
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o="${do:-0}.${o#$do}"
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}
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[ "$1" -lt "$2" ] || until [ "${o#0}" = "$o" ]; do
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o="${o#0}"
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done
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echo "$o" # | $dp | $do"
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}
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# 9 decimal points unless $3 is passed
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[ "$1" -a "$2" ] && ld "$1" "$2" "${3:-9}" |