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[x] <- res; res type type type type BddIndex = int Bdd = Bdd of BddIndex BddNode = Node of Var * BddIndex * BddIndex BddBuilder(order : Var -> Var -> int) = // The core data structures that preserve uniqueness let uniqueTab = new Dictionary<BddNode,BddIndex>() let nodeTab = new Dictionary<BddIndex,BddNode>() // Keep track of the next index let mutable nextIdx = 2 let trueIdx = 1 let falseIdx = -1.

Note that this command will erase the block change-tracking file. It does not just disable the feature it removes the file as well.

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Note On certain operating systems, such as Windows, you might find that if you run my example creating a

let trueNode = Node("",trueIdx,trueIdx) let falseNode = Node("",falseIdx,falseIdx) // Map indexes to nodes. Negative indexes go to their negation. The special // indexes -1 and 1 go to special true/false nodes. let idxToNode(idx) = if idx = trueIdx then trueNode elif idx = falseIdx then falseNode elif idx > 0 then nodeTab.[idx] else let (Node(v,l,r)) = nodeTab.[-idx] Node(v,-l,-r) // Map nodes to indexes. Add an entry to the table if needed. let nodeToUniqueIdx(node) = if uniqueTab.ContainsKey(node) then uniqueTab.[node] else let idx = nextIdx uniqueTab.[node] <- idx nodeTab.[idx] <- node nextIdx <- nextIdx + 1 idx // Get the canonical index for a node. Preserve the invariant that the // left-hand node of a conditional is always a positive node let mkNode(v:Var,l:BddIndex,r:BddIndex) = if l = r then l elif l >= 0 then nodeToUniqueIdx(Node(v,l,r) ) else -nodeToUniqueIdx(Node(v,-l,-r)) // Construct the BDD for a conjunction "m1 AND m2" let rec mkAnd(m1,m2) = if m1 = falseIdx or m2 = falseIdx then falseIdx elif m1 = trueIdx then m2 elif m2 = trueIdx then m1 else let Node(x,l1,r1) = idxToNode(m1) let Node(y,l2,r2) = idxToNode(m2) let v,(la,lb),(ra,rb) = match order x y with | c when c = 0 -> x,(l1,l2),(r1,r2) | c when c < 0 -> x,(l1,m2),(r1,m2) | c -> y,(m1,l2),(m1,r2) mkNode(v,mkAnd(la,lb), mkAnd(ra,rb)) // Memoize this function let mkAnd = memoize mkAnd

block change-tracking file and then disabling it the file appears to still exist. This is an OS-specific issue it does not happen on many operating systems. It will happen only if you CREATE and DISABLE the change-tracking file from a single session. The session that created the block change-tracking file will leave that file open and some operating systems will not permit you to erase a file that has been opened by some process. This is harmless; you just need to remove the file yourself later.

You can enable this new block change-tracking feature in either ARCHIVELOG or NOARCHIVELOG mode. But remember, a database in NOARCHIVELOG mode, where the redo log generated daily is not retained, can t recover all changes in the event of a media (disk or device) failure! A NOARCHIVELOG mode database will lose data some day. We will cover these two database modes in more detail in 9 Redo and Undo.

// Publish the construction functions that make BDDs from existing BDDs member gFalse = Bdd falseIdx member gAnd(Bdd m1,Bdd m2) = Bdd(mkAnd(m1,m2)) member gNot(Bdd m) = Bdd(-m) member gVar(nm) = Bdd(mkNode(nm,trueIdx,falseIdx)) member gNodeCount = nextIdx The types of these functions are as follows: val memoize : ('a -> 'b) -> ('a -> 'b) type BddIndex = int type Bdd = Bdd of BddIndex type BddNode = Node of Var * BddIndex * BddIndex type BddBuilder = class end with new : order:(Var -> Var -> int) -> BddBuilder member And : _arg1:Bdd * _arg2:Bdd -> Bdd member Not : _arg3:Bdd -> Bdd member Var : nm:Var -> Bdd member False : Bdd member NodeCount : int end Besides the functions that ensure that nodes are unique, the only substantial function in the implementation is mkAnd.

Flashback logs were introduced in Oracle 10g in support of the FLASHBACK DATABASE command, a new feature of the Enterprise Edition of the database in that release. Flashback logs contain before images of modified database blocks that can be used to return the database to the way it was at some prior point in time.