Files
sml-projects/fcore/search-list.sml

432 lines
15 KiB
Standard ML

structure SearchList =
struct
type t = {left: int vector list, right: int vector list}
val targetLength = 1024
val empty: t = {left = [], right = []}
fun isLessThanTarget (v1, v2) =
Vector.length v1 + Vector.length v2 <= targetLength
fun isThreeLessThanTarget (v1, v2, v3) =
Vector.length v1 + Vector.length v2 + Vector.length v3 <= targetLength
fun joinEndOfLeft (new, left) =
case left of
hd :: tail =>
if isLessThanTarget (new, hd) then
let val newHd = Vector.concat [hd, new]
in newHd :: tail
end
else
new :: left
| [] => new :: left
fun joinStartOfRight (new, right) =
case right of
hd :: tail =>
if isLessThanTarget (new, hd) then
let val newHd = Vector.concat [new, hd]
in newHd :: tail
end
else
new :: right
| [] => new :: right
fun insMiddle (new, hd, tl, left, right) =
let
val middle = BinSearch.equalOrMore (new, hd)
val leftSlice = VectorSlice.slice (hd, 0, SOME middle)
val rightLength = Vector.length hd - middle
val rightSlice = VectorSlice.slice (hd, middle, SOME rightLength)
val new = Vector.fromList [new]
val new = VectorSlice.full new
in
if Vector.length hd < targetLength then
let val newHd = VectorSlice.concat [leftSlice, new, rightSlice]
in {left = joinEndOfLeft (newHd, tl), right = right}
end
else if middle < targetLength then
(* leftSlice is less than targetLength *)
let
val hd1 = VectorSlice.concat [leftSlice, new]
val hd2 = VectorSlice.vector rightSlice
in
{ left = joinEndOfLeft (hd1, tl)
, right = joinStartOfRight (hd2, right)
}
end
else
let
val hd1 = VectorSlice.vector leftSlice
val hd2 = VectorSlice.concat [new, rightSlice]
in
{ left = joinEndOfLeft (hd1, tl)
, right = joinStartOfRight (hd2, right)
}
end
end
fun insLeft (new, left, right) =
case left of
hd :: tl =>
let
val first = Vector.sub (hd, 0)
in
if new < first then
insLeft (new, tl, joinStartOfRight (hd, right))
else if new > first then
let
val last = Vector.sub (hd, Vector.length hd - 1)
in
if new < last then
(* have to insert in middle *)
insMiddle (new, hd, tl, left, right)
else if new > last then
(* have to insert new at end of left
* or start of right (both are equivalent) *)
{ left = left
, right = joinStartOfRight (Vector.fromList [new], right)
}
else
(* new = last so just return *)
{left = left, right = right}
end
else
(* new = first *)
{left = left, right = right}
end
| [] => {left = left, right = right}
fun insRight (new, left, right) =
case right of
hd :: tl =>
let
val last = Vector.sub (hd, Vector.length hd - 1)
in
if new > last then
insRight (new, joinEndOfLeft (hd, left), tl)
else if new < last then
let
val first = Vector.sub (hd, 0)
in
if new > first then
(* have to insert in middle *)
insMiddle (new, hd, tl, left, right)
else if new < first then
(* have to insert new at start of right
* or end of left (both are equivalent) *)
{ left = left
, right = joinStartOfRight (Vector.fromList [new], right)
}
else
(* new = first so just return *)
{left = left, right = right}
end
else
(* new = last *)
{left = left, right = right}
end
| [] => {left = left, right = right}
fun insert (new, {left, right}: t) =
(* look at elements to see which way to traverse *)
case right of
hd :: _ =>
if Vector.sub (hd, 0) >= new then insRight (new, left, right)
else insLeft (new, left, right)
| [] => insLeft (new, left, right)
fun helpGoToNumLeft (num, left, right) =
case left of
hd :: tl =>
if num < Vector.sub (hd, 0) then
(* continue *)
helpGoToNumLeft (num, tl, joinStartOfRight (hd, right))
else
(* greater or equal to first element so return.
* Note: caller which destructures list expects found hd to always be
* on right. *)
{left = tl, right = joinStartOfRight (hd, right)}
| [] => {left = left, right = right}
fun helpGoToNumRight (num, left, right) =
case right of
hd :: tl =>
if num > Vector.sub (hd, Vector.length hd - 1) then
(* continue *)
helpGoToNumRight (num, joinEndOfLeft (hd, left), tl)
else
(* less than or equal to last element so return *)
{left = left, right = right}
| [] => {left = left, right = right}
fun goToNum (num, {left, right}: t) =
case right of
hd :: tl =>
if num > Vector.sub (hd, Vector.length hd - 1) then
helpGoToNumRight (num, left, right)
else
helpGoToNumLeft (num, left, right)
| [] => helpGoToNumLeft (num, left, right)
fun delRightFromHere (finish, left, right) =
case right of
hd :: tl =>
let
val last = Vector.sub (hd, Vector.length hd - 1)
in
if finish > last then
delRightFromHere (finish, left, tl)
else if finish < Vector.sub (hd, 0) then
(* finish < first *)
{left = left, right = right}
else if finish < last then
let
val delpoint = BinSearch.equalOrMore (finish, hd)
val newHd = VectorSlice.slice (hd, 0, SOME delpoint)
val newHd = VectorSlice.vector newHd
in
{left = left, right = joinStartOfRight (newHd, right)}
end
else
(* finish = last *)
{left = left, right = tl}
end
| [] => {left = left, right = right}
fun moveRightAndDelete (start, finish, left, right) =
case right of
hd :: tl =>
let
val last = Vector.sub (hd, Vector.length hd - 1)
in
if start > last then
moveRightAndDelete (start, finish, joinEndOfLeft (hd, left), tl)
else if start > Vector.sub (hd, 0) then
(* start > first *)
{left = left, right = right}
else if start < last then
if finish > last then
(* delete part of hd, and continue deleting rightwards *)
let
val delpoint = BinSearch.equalOrMore (start, hd)
val newHd = VectorSlice.slice (hd, 0, SOME delpoint)
val newHd = VectorSlice.vector newHd
in
delRightFromHere (finish, joinEndOfLeft (newHd, left), tl)
end
else if finish < last then
(* have to delete from middle of hd and then return *)
let
val startpoint = BinSearch.equalOrMore (start, hd)
val finishpoint = BinSearch.equalOrMore (finish, hd)
val lhd = VectorSlice.slice (hd, 0, SOME
(Vector.length hd - startpoint))
val rhd = VectorSlice.slice (hd, finishpoint, SOME
(Vector.length hd - finishpoint))
val lhd = VectorSlice.vector lhd
val rhd = VectorSlice.vector rhd
in
{ left = joinEndOfLeft (lhd, left)
, right = joinStartOfRight (rhd, right)
}
end
else
(* finish = last, which means delete from last part of hd *)
let
val startpoint = BinSearch.equalOrMore (start, hd)
val newHd = VectorSlice.slice (hd, 0, SOME startpoint)
val newHd = VectorSlice.vector newHd
in
{left = left, right = joinStartOfRight (newHd, tl)}
end
else
(* start = last, meaning delete last and then continue deleting right*)
let
val length = Vector.length hd - 1
val newHd = VectorSlice.slice (hd, 0, SOME length)
val newHd = VectorSlice.vector newHd
in
delRightFromHere (finish, joinEndOfLeft (newHd, left), tl)
end
end
| [] => {left = left, right = right}
fun delLeftFromHere (start, left, right) =
case left of
hd :: tl =>
let
val first = Vector.sub (hd, 0)
in
if start < first then
delLeftFromHere (start, tl, right)
else if start > Vector.sub (hd, Vector.length hd - 1) then
(* start > last *)
{left = left, right = right}
else if start > first then
let
val delpoint = BinSearch.equalOrMore (start, hd)
val newLength = Vector.length hd - delpoint
val newHd = VectorSlice.slice (hd, delpoint, SOME newLength)
val newHd = VectorSlice.vector newHd
in
{left = joinEndOfLeft (newHd, left), right = right}
end
else
(* start = first *)
{left = tl, right = right}
end
| [] => {left = left, right = right}
fun moveLeftAndDelete (start, finish, left, right) =
case left of
hd :: tl =>
let
val first = Vector.sub (hd, 0)
in
if finish < first then
moveLeftAndDelete (start, finish, tl, joinStartOfRight (hd, right))
else if finish > Vector.sub (hd, Vector.length hd - 1) then
(* finish > last *)
{left = left, right = right}
else if finish > first then
if start < first then
(* delete from start of hd and continue deleting leftwards *)
let
val startpoint = BinSearch.equalOrMore (finish, hd)
val len = Vector.length hd - startpoint
val newHd = VectorSlice.slice (hd, startpoint, SOME len)
val newHd = VectorSlice.vector newHd
in
delLeftFromHere (start, tl, joinStartOfRight (newHd, right))
end
else if start > first then
(* delete from middle and then return *)
let
val llen = BinSearch.equalOrMore (start, hd)
val rstart = BinSearch.equalOrMore (finish, hd)
val rlen = Vector.length hd - rstart
val lhd = VectorSlice.slice (hd, 0, SOME llen)
val rhd = VectorSlice.slice (hd, rstart, SOME rlen)
val lhd = VectorSlice.vector lhd
val rhd = VectorSlice.vector rhd
in
{ left = joinEndOfLeft (lhd, tl)
, right = joinStartOfRight (rhd, right)
}
end
else
(* start = first and finish > first
* have to delete from start of hd and return*)
let
val startpoint = BinSearch.equalOrMore (finish, hd)
val len = Vector.length hd - startpoint
val newHd = VectorSlice.slice (hd, startpoint, SOME len)
val newHd = VectorSlice.vector newHd
in
{left = joinEndOfLeft (newHd, tl), right = right}
end
else
(* finish = first *)
let
val len = Vector.length hd - 1
val newHd = VectorSlice.slice (hd, 1, SOME len)
val newHd = VectorSlice.vector newHd
in
if start < first then
delLeftFromHere (start, tl, joinStartOfRight (newHd, right))
else
(* start = first *)
{left = tl, right = joinStartOfRight (newHd, right)}
end
end
| [] => {left = left, right = right}
fun delFromLeftAndRight (start, finish, left, right) =
let val {left, right} = delRightFromHere (finish, left, right)
in delLeftFromHere (start, left, right)
end
fun del (start, finish, left, right) =
case right of
rhd :: rtl =>
let
val rfirst = Vector.sub (rhd, 0)
in
if start < rfirst then
(case left of
lhd :: ltl =>
let
val llast = Vector.sub (lhd, Vector.length lhd - 1)
in
if
start < llast
then
if finish < rfirst then
(* start < rfirst and start < llast and finish < rfirst
* move left and delete *)
moveLeftAndDelete (start, finish, left, right)
else
(* start < rfirst and start < llast and finish >= rfirst
* in middle; delete from both sides *)
delFromLeftAndRight (start, finish, left, right)
else if
start = llast
then
if finish < rfirst then
(* start < rfirst, start = llast, and finish < rfirst
* so just have to delete left from here *)
delLeftFromHere (start, left, right)
else
(* start < rfirst, start = llast, finish >= rfirst
* in middle; delete from both sides *)
delFromLeftAndRight (start, finish, left, right)
else (* start > llast and start < rfirst *) if
finish >= rfirst
then
(* delete right from here *)
delRightFromHere (finish, left, right)
else
(* start < rfirst and finish < rfirst
* so just return *)
{left = left, right = right}
end
| [] =>
(* start < rfirst
* but left is empty.
* All we can do is 1. Delete right or 2. Return *)
if finish < rfirst then {left = left, right = right}
else delRightFromHere (finish, left, right))
else if start = rfirst then
delRightFromHere (finish, left, right)
else
(* start > rfirst
* move right and then start deleting *)
moveRightAndDelete (start, finish, left, right)
end
| [] =>
(case left of
lhd :: ltl =>
let
val llast = Vector.sub (lhd, Vector.length lhd - 1)
in
if start < llast then
if finish <= llast then
moveRightAndDelete (start, finish, left, right)
else
delLeftFromHere (finish, left, right)
else
moveRightAndDelete (start, finish, left, right)
end
| [] =>
(* left and right are both empty *)
{left = left, right = right})
fun delete (start, length, {left, right}: t) =
if length > 0 then del (start, start + length, left, right)
else {left = left, right = right}
end