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|
# 13apr25 Software Lab. Alexander Burger
# *Prune
(private) (_store _put _splitBt _del)
(de root (Tree)
(cond
((not Tree) (val *DB))
((atom Tree) (val Tree))
((ext? (cdr Tree)) (get @ (car Tree)))
((atom (cdr Tree))
(get *DB (cdr Tree) (car Tree)) )
(T (get (cddr Tree) (cadr Tree) (car Tree))) ) )
# Fetch
(de fetch (Tree Key)
(let? Node (cdr (root Tree))
(and *Prune (idx '*Prune Node T))
(use R
(loop
(and *Prune (set (prop Node NIL) 0))
(T
(and
(setq R (rank Key (cdr (val Node))))
(= Key (car R)) )
(or (cddr R) (fin (car R))) )
(NIL
(setq Node (if R (cadr R) (car (val Node)))) ) ) ) ) )
# Store
(de store (Tree Key Val Dbf)
(default Dbf (1 . 256))
(if (atom Tree)
(let Base (or Tree *DB)
(_store (or (val Base) (set Base (cons 0)))) )
(let Base
(if (atom (cdr Tree))
(or
(ext? (cdr Tree))
(get *DB (cdr Tree))
(put *DB (cdr Tree) (new T 0)) )
(or
(get (cddr Tree) (cadr Tree))
(put (cddr Tree) (cadr Tree) (new T)) ) )
(_store
(or
(get Base (car Tree))
(put Base (car Tree) (cons 0)) ) ) ) ) )
(de _store (Root)
(and *Prune (cdr Root) (idx '*Prune @ T))
(ifn Val
(when (and (cdr Root) (_del @))
(touch Base)
(cond
(*Solo (zap (cdr Root)))
(*Zap (push @ (cdr Root))) )
(con Root) )
(and (= Val (fin Key)) (off Val))
(if (cdr Root)
(when (_put @)
(touch Base)
(con Root (def (new (car Dbf)) (list (car @) (cdr @)))) )
(touch Base)
(con Root
(def (new (car Dbf))
(list NIL (cons Key NIL Val)) ) )
(and *Prune (set (prop (cdr Root) NIL) 0))
(inc Root) ) ) )
(de _put (Top)
(and *Prune (set (prop Top NIL) 0))
(let (V (val Top) R (rank Key (cdr V)))
(cond
(R
(if (= Key (car R))
(nil (touch Top) (con (cdr R) Val))
(let X (memq R V)
(if (cadr R)
(when (_put @)
(touch Top)
(set (cdr R) (car @))
(con X (cons (cdr @) (cdr X)))
(_splitBt) )
(touch Top)
(con X
(cons (cons Key (cons NIL Val)) (cdr X)) )
(touch Base)
(inc Root)
(_splitBt) ) ) ) )
((car V)
(when (_put @)
(touch Top)
(set V (car @))
(con V (cons (cdr @) (cdr V)))
(_splitBt) ) )
(T
(touch Top)
(con V
(cons (cons Key (cons NIL Val)) (cdr V)) )
(touch Base)
(inc Root)
(_splitBt) ) ) ) )
(de _splitBt ()
(when (and (cddddr V) (> (size Top) (cdr Dbf)))
(let (N (>> 1 (length V)) X (get V (inc N)))
(set (cdr X)
(def (new (car Dbf))
(cons (cadr X) (nth V (+ 2 N))) ) )
(cons
(if *Solo
(prog (set Top (head N V)) Top)
(and *Zap (push @ Top))
(def (new (car Dbf)) (head N V)) )
X ) ) ) )
# Del
(de _del (Top)
(and *Prune (set (prop Top NIL) 0))
(let (V (val Top) R (rank Key (cdr V)))
(cond
((not R)
(when (and (car V) (_del @))
(touch Top)
(cond
(*Solo (zap (car V)))
(*Zap (push @ (car V))) )
(set V)
(not (cdr V)) ) )
((= Key (car R))
(if (cadr R)
(let X (val @)
(while (car X) (setq X (val @)))
(touch Top)
(xchg R (cadr X))
(con (cdr R) (cddr (cadr X)))
(when (_del (cadr R))
(cond
(*Solo (zap (cadr R)))
(*Zap (push @ (cadr R))) )
(set (cdr R)) ) )
(touch Base)
(dec Root)
(nand
(or
(con V (delq R (cdr V)))
(car V) )
(touch Top) ) ) )
((cadr R)
(when (_del @)
(touch Top)
(cond
(*Solo (zap (cadr R)))
(*Zap (push @ (cadr R))) )
(set (cdr R)) ) ) ) ) )
# Delayed deletion
(de zap_ ()
(let (F (cdr *Zap) Z (pack F "_"))
(cond
((info Z)
(in Z (while (rd) (zap @)))
(if (info F)
(call "mv" F Z)
(%@ "unlink" NIL Z) ) )
((info F) (call "mv" F Z)) ) ) )
# Tree node count
(de count (Tree)
(or (car (root Tree)) 0) )
# Return first leaf
(de leaf (Tree)
(let (Node (cdr (root Tree)) X)
(while (val Node)
(setq X (cadr @) Node (car @)) )
(cddr X) ) )
(private) revNode
# Reverse node
(de revNode (Node)
(let? Lst (val Node)
(let (L (car Lst) R)
(for X (cdr Lst)
(push 'R (cons (car X) L (cddr X)))
(setq L (cadr X)) )
(cons L R) ) ) )
# Key management
(de minKey (Tree Min Max)
(default Max T)
(let (Node (cdr (root Tree)) K)
(use (V R X)
(loop
(NIL (setq V (val Node)) K)
(T
(and
(setq R (rank Min (cdr V)))
(= Min (car R)) )
Min )
(if R
(prog
(and
(setq X (cdr (memq R V)))
(>= Max (caar X))
(setq K (caar X)) )
(setq Node (cadr R)) )
(when (>= Max (caadr V))
(setq K (caadr V)) )
(setq Node (car V)) ) ) ) ) )
(de maxKey (Tree Min Max)
(default Max T)
(let (Node (cdr (root Tree)) K)
(use (V R X)
(loop
(NIL (setq V (revNode Node)) K)
(T
(and
(setq R (rank Max (cdr V) T))
(= Max (car R)) )
Max )
(if R
(prog
(and
(setq X (cdr (memq R V)))
(>= (caar X) Min)
(setq K (caar X)) )
(setq Node (cadr R)) )
(when (>= (caadr V) Min)
(setq K (caadr V)) )
(setq Node (car V)) ) ) ) ) )
# Step
(de init (Tree Beg End)
(or Beg End (on End))
(let (Node (cdr (root Tree)) Q)
(use (V R X)
(if (>= End Beg)
(loop
(NIL (setq V (val Node)))
(T
(and
(setq R (rank Beg (cdr V)))
(= Beg (car R)) )
(push 'Q (memq R V)) )
(if R
(prog
(and
(setq X (cdr (memq R V)))
(>= End (caar X))
(push 'Q X) )
(setq Node (cadr R)) )
(and
(cdr V)
(>= End (caadr V))
(push 'Q (cdr V)) )
(setq Node (car V)) ) )
(loop
(NIL (setq V (revNode Node)))
(T
(and
(setq R (rank Beg (cdr V) T))
(= Beg (car R)) )
(push 'Q (memq R V)) )
(if R
(prog
(and
(setq X (cdr (memq R V)))
(>= (caar X) End)
(push 'Q X) )
(setq Node (cadr R)) )
(and
(cdr V)
(>= (caadr V) End)
(push 'Q (cdr V)) )
(setq Node (car V)) ) ) ) )
(cons (cons (cons Beg End) Q)) ) )
(de step (Q Flg)
(use (L F X)
(loop
(T
(loop
(T (cdar Q))
(NIL (cdr Q) T)
(set Q (cadr Q))
(con Q (cddr Q)) ) )
(setq
L (car Q)
F (>= (cdar L) (caar L))
X (pop (cdr L)) )
(or (cadr L) (con L (cddr L)))
(T
(if ((if F > <) (car X) (cdar L))
(con (car Q))
(for
(V (cadr X)
((if F val revNode) V)
(car @) )
(con L (cons (cdr @) (cdr L))) )
(unless (and Flg (flg? (fin (car X))))
(if (cddr X)
(prog (setq @@ (car X)) @)
(setq @@ (caar X))
(fin (car X)) ) ) )
@ ) ) ) )
(private) (_scan _nacs _iter _reti)
(private) (Tree Fun Beg End Flg Node R X V)
# Scan tree nodes
(de scan (Tree Fun Beg End Flg)
(default Fun println)
(or Beg End (on End))
(let Node (cdr (root Tree))
(and *Prune (idx '*Prune Node T))
((if (>= End Beg) _scan _nacs) Node) ) )
(de _scan (Node)
(let? V (val Node)
(for X
(if (rank Beg (cdr V))
(let R @
(if (= Beg (car R))
(memq R (cdr V))
(_scan (cadr R))
(cdr (memq R (cdr V))) ) )
(_scan (car V))
(cdr V) )
(T (> (car X) End))
(unless (and Flg (flg? (fin (car X))))
(Fun
(car X)
(or (cddr X) (fin (car X))) ) )
(_scan (cadr X)) )
(and *Prune (set (prop Node NIL) 0)) ) )
(de _nacs (Node)
(let? V (revNode Node)
(for X
(if (rank Beg (cdr V) T)
(let R @
(if (= Beg (car R))
(memq R (cdr V))
(_nacs (cadr R))
(cdr (memq R (cdr V))) ) )
(_nacs (car V))
(cdr V) )
(T (> End (car X)))
(unless (and Flg (flg? (fin (car X))))
(Fun
(car X)
(or (cddr X) (fin (car X))) ) )
(_nacs (cadr X)) )
(and *Prune (set (prop Node NIL) 0)) ) )
# Iterate tree values
(de iter (Tree Fun Beg End Flg)
(default Fun println)
(or Beg End (on End))
(let Node (cdr (root Tree))
(and *Prune (idx '*Prune Node T))
((if (>= End Beg) _iter _reti) Node) ) )
(de _iter (Node)
(let? V (val Node)
(for X
(if (rank Beg (cdr V))
(let R @
(if (= Beg (car R))
(memq R (cdr V))
(_iter (cadr R))
(cdr (memq R (cdr V))) ) )
(_iter (car V))
(cdr V) )
(T (> (car X) End))
(unless (and Flg (flg? (fin (car X))))
(Fun (or (cddr X) (fin (car X)))) )
(_iter (cadr X)) )
(and *Prune (set (prop Node NIL) 0)) ) )
(de _reti (Node)
(let? V (revNode Node)
(for X
(if (rank Beg (cdr V) T)
(let R @
(if (= Beg (car R))
(memq R (cdr V))
(_reti (cadr R))
(cdr (memq R (cdr V))) ) )
(_reti (car V))
(cdr V) )
(T (> End (car X)))
(unless (and Flg (flg? (fin (car X))))
(Fun (or (cddr X) (fin (car X)))) )
(_reti (cadr X)) )
(and *Prune (set (prop Node NIL) 0)) ) )
# UB-Trees
(de ub>= (Dim End Val Beg)
(let (D (>> (- 1 Dim) 1) Pat D)
(while (> End Pat)
(setq Pat (| D (>> (- Dim) Pat))) )
(do Dim
(NIL
(>=
(& Pat End)
(& Pat Val)
(& Pat Beg) ) )
(setq Pat (>> 1 Pat)) ) ) )
(private) (Tree Dim Fun X1 X2 Node Lst Left Beg End B E X Msb Pat N Min Max Lo Hi)
(de ubIter (Tree Dim Fun X1 X2)
(let
(Node (cdr (root Tree))
Lst (val Node)
Left (++ Lst)
Beg (ubZval (copy X1))
End (ubZval (copy X2) T)
B (car Beg)
E (car End) )
(recur (Left Lst Beg End X)
(while (setq X (++ Lst))
(cond
((> (car X) End)
(setq Lst (; Left 0 -1) Left (; Left 0 1)) )
((> Beg (car X))
(if Lst
(setq Left (cadr X))
(setq Left (; X 2 0 1) Lst (; X 2 0 -1)) ) )
((ub>= Dim E (caar X) B)
(Fun (cdar X))
(recurse (; Left 0 1) (; Left 0 -1) Beg (car X))
(setq Beg (car X))
(if Lst
(setq Left (cadr X))
(setq Left (; X 2 0 1) Lst (; X 2 0 -1)) ) )
(T
(let (Msb 1 Pat 0 N 0 Min B Max E Lo (caar X) Hi Lo)
(while (>= Max Msb)
(setq Msb (>> -1 Msb) Pat (>> -1 Pat)) # Msb 100000000
(when (= Dim (inc 'N)) # Pat 000100100
(inc 'Pat)
(zero N) ) )
(catch "ub" # Clr 111..111011011
(let (Top Msb Clr (| Top (x| Pat (dec Msb))))
(loop
(T (=0 (setq Msb (>> 1 Msb))))
(setq
Pat (>> 1 Pat)
Clr (| Top (>> 1 Clr)) )
(ifn (bit? Msb (caar X))
(when (bit? Msb Max)
(ifn (bit? Msb Min) # 001
(setq
Max (- (| Pat Max) Msb) # 0111(Max)
Lo (| Msb (& Min Clr)) ) # 1000(Min)
(setq Lo Min) # 011
(throw "ub") ) )
(unless (bit? Msb Min)
(if (bit? Msb Max) # 101
(setq
Hi (- (| Pat Max) Msb) # 0111(Max)
Min (| Msb (& Min Clr)) ) # 1000(Min)
(setq Hi Max) # 100
(throw "ub") ) ) ) ) ) )
(recurse (; Left 0 1) (; Left 0 -1) Beg (cons Hi T))
(setq Beg (cons Lo))
(if Lst
(setq Left (cadr X))
(setq Left (; X 2 0 1) Lst (; X 2 0 -1)) ) ) ) ) ) ) ) )
(de prune (N)
(for Node (idx '*Prune)
(recur (Node)
(let? V (val (lieu Node))
(if (>= (inc (prop Node NIL)) N)
(wipe Node)
(recurse (car V))
(for X (cdr V)
(recurse (cadr X)) ) ) ) ) )
(or (gt0 N) (setq *Prune N)) )
# Delete Tree
(de zapTree (Node)
(let? V (val Node)
(zapTree (car V))
(for L (cdr V)
(zapTree (cadr L)) )
(zap Node) ) )
(private) (Node Fun N L V X Y)
# Check tree structure
(de chkTree (Node Fun)
(let (N 0 X)
(when Node
(recur (Node)
(let V (val Node)
(let L (car V)
(for Y (cdr V)
(when L
(unless (ext? L)
(quit "Bad node link" Node) )
(recurse L) )
(when (>= X (car Y))
(quit "Bad sequence" Node) )
(setq X (car Y))
(inc 'N)
(and
Fun
(not (Fun (car Y) (cddr Y)))
(quit "Check fail" Node) )
(setq L (cadr Y)) )
(and L (recurse L)) ) )
(wipe Node) ) )
N ) )
|
