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https://dicksdeathabove.xyz/~mia/psh-fractional
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finish long subtraction
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parent
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119
subtraction/sub
Normal file → Executable file
119
subtraction/sub
Normal file → Executable file
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@ -0,0 +1,119 @@
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#!/bin/sh
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# long subtraction !?
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# $f1 - $f2
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countd() { # count decimal places
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m="$1"; n=${2:-0}; while [ "$m" ]; do
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: $((n+=1))
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next="${m%?}"
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[ "${m#$next}" = "." ] && {
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break
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} || {
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m="$next"
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}
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done
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echo "$n"
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}
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borrow(){
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# $2 current number (to increase)
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# $1 as whole number; will return modified
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# $3 as $next
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b="${1%$2}"; b="${b#${3%?}}"
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[ "$b" -gt 0 ] && {
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c1="$2";
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[ "$b" -eq 10 ] && {
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o="${1%$b$2}"; : $((b-=1)); o="${o}0${b}$c1" # eg 21 = 2090 10
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# tbh idk why this works; 2090 should acctually be 1 10 9 10
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# which somehow becomes 209 10 ? I'm guessing a second borrow call is made
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# and that somehow corrects it; but again idk; a second borrow call /is/ made
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# but idk how it corrects it
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} || {
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o="${1%$b$2}"; : $((b-=1)); o="$o$b$c1"
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}
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: $((c1+=10))
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echo "$o $c1"
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} || { # otherwise use recusion
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o="${1#${3%?}}"; o="${o%$2}"
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borrow "$1" "$o" "${3%?}"
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}
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}
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[ -z "${1##*.*}" -o -z "${2##*.*}" ] && {
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if [ ! -z "${1##*.*}" ]; then # if $1 is not float
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zp1="$1"; zp2="${2%.*}${2#*.}"
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elif [ ! -z "${2##*.*}" ]; then
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zp1="${1%.*}${1#*.}"; zp2="$2"
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else
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zp1="${1%.*}${1#*.}"; zp2="${2%.*}${2#*.}"
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fi # yank out decimal places to compare
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if [ "${#zp1}" -gt "${#zp2}" ]; then
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until [ "${#zp2}" -eq "${#zp1}" ]; do
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zp2="${zp2}0"
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done
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elif [ "${#zp1}" -lt "${#zp2}" ]; then
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until [ "${#zp1}" -eq "${#zp2}" ]; do
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zp1="${zp1}0"
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done
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fi
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[ "$zp2" -gt "$zp1" ] && {
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set -- "$2" "$1"
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nr=-
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}
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# above handles negative results
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# determine decimal point
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if [ "${#1}" -gt "${#2}" -a -z "${1##*.*}" ]; then # if $1 has no decimal points it should not be counted
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# this fixes a but when $1 is longer than $2 but has no decimal points
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dn=$(countd "$1")
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elif [ "${#1}" -lt "${#2}" -a -z "${2##*.*}" ]; then # same here
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dn=$(countd "$2")
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else # equal
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dn=$(countd "$2")
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fi
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zp1="${1%%.*}"; zp2="${2%%.*}"
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[ "${#zp1}" -gt "${#zp2}" ] && until [ "${#zp1}" -eq "${#zp2}" ]; do
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set -- "$1" "0$2"
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zp1="${1%%.*}"; zp2="${2%%.*}"
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done
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[ "${#zp1}" -lt "${#zp2}" ] && until [ "${#zp1}" -eq "${#zp2}" ]; do
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set -- "0$1" "$2"
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zp1="${1%%.*}"; zp2="${2%%.*}"
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done; unset zp1 zp2
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[ "$dn" -gt 0 ] && : $((dn-=1))
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if [ ! -z "${1##*.*}" ]; then # if $1 not float
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set -- "${1}.0" "$2"
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elif [ ! -z "${2##*.*}" ]; then
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set -- "$1" "${2}.0"
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fi
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#echo "$1 $2"
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set -- "${1%.*}${1#*.}" "${2%.*}${2#*.}" # remove decimals
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f1="$1"; f2="$2"
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[ "${#f1}" -lt "${#f2}" ] && until [ "${#f1}" -eq "${#f2}" ]; do
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f1="${f1}0"
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done
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[ "${#f1}" -gt "${#f2}" ] && until [ "${#f2}" -eq "${#f1}" ]; do
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f2="${f2}0"
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done # 0 padding
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#echo "$f1 - $f2"
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while [ "$f1" ]; do
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while [ "$f2" ]; do # shift over both numbers; double while
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next1="${f1%?}"; next2="${f2%?}"; c1="${f1#$next1}"; c2="${f2#$next2}"
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[ "$c1" -lt "$c2" ] && { # regroup
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b=$(borrow "$f1" "$c1" "$next1")
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c1="${b#* }"; f1="${b% *}"; next1="${f1%?}"
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#echo "-- $f1 / $b"
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}
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#echo "$c1 - $c2 | $f1 - $f2"
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o="$((c1-c2))$o" # subtract
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f1="$next1"; f2="$next2"
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done
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done
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[ "$dn" -gt 0 ] && {
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n=0; f1="$o"; while [ "$f1" ]; do
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next="${f1%?}"
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: $((n+=1))
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[ "$n" -eq "$dn" ] && o="$next.${o#${f1%?}}"
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f1="$next"
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done
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}
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echo "${nr}$o" # $nr is for negative handling
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} || echo $(($1-$2)) # NOT float
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