// B-Tree Maintenance Routines // Copyright Xerox Corporation 1979, 1981 // BTreeWrtMS1.bcpl -- Routines for writing in B-Trees // Uses pagination strategy MS to minimize the sum of lengths // of records posted to the father page. // last edited November 26, 1981 12:38 PM by Taft get "btree.decl" external [ Allocate // Defined by OS Free MoveBlock ReadBTreePage // defined by OpenBTree WriteBTreePage LockBTreePtr UnlockBTreePtr AllocateBTreePage BTreeBug PathRecLE // Defined in BTreeRead.bcpl BackUpOneRecord ReadPageAndLockBTreePtr ] external [ UpdateRecord // Defined in BTreeWrtMS.bcpl InsertRecords ComplexInsertRecords MakeNewRoot PageLength EntryLength FillLeftPage FillRightPage AppendEntSeqEnt PushEntSeqEnt MakeEntSeqEnt ComputeEntLens PushEntSeqEntLens AppendEntSeqEntLens DepositESL FindRightBrother FindLeftBrother RemoveEntry BasicRemoveEntry WriteRightBrother WritePage AddToHeap TrickleDown RemoveFromHeap SiftUp ] let ComplexInsertRecords(Tree, PathStk, IS) = valof [ let PathStkTop = PathStk>>PS.PathStkTop let SP = lv PathStk>>PS.PSE^PathStkTop let SFP = SP - size PSE/16 let MaxFreeWords = IS>>IS.MaxFreeWords // Not all the entries will fit on the current page. Try // spilling over onto the right brother page, or onto the // left brother page if there isn't a right brother. SFP>>PSE.LeastSon = SP>>PSE.PageNo // In case this is the // root page splitting let RtBroPg1 = Empty if PathStkTop gr 1 then [ RtBroPg1 = FindRightBrother(IS, SFP, -MaxFreeWords, SP) if RtBroPg1 eq Empty then RtBroPg1 = FindLeftBrother(IS, SFP, -MaxFreeWords, SP) ] if RtBroPg1 eq Empty then RtBroPg1 = AllocateBTreePage(Tree) let OneBrotherEnough = false if IS>>IS.ELLLen ls 3 then BTreeBug(Tree, ecEntryListTooShort) let FatherEnt = FillLeftPage(IS, 0) let BestFatherEnt = nil let BestFatherLen = MaxFreeWords+1 // Causes BestFatherEnt // to be updated the // first time around. // The idea next is to send the shortest entry into // the father page such that the current page is at least // "pretty" full (if we have such a choice). while valof [ let PL1 = PageLength(IS, FatherEnt) if PL1 gr MaxFreeWords then resultis false let PL0 = PageLength(IS, 0, FatherEnt) resultis (PL0 gr 0) & (PL0+PL1 le MaxFreeWords+IS>>IS.AwfullyFull) ] do // Still enough room in brother page. See if this // is shortest father entry, and try moving one // more entry into brother page. [ let FatherLen = EntryLength(IS, FatherEnt) if FatherLen ls BestFatherLen then [ BestFatherEnt = FatherEnt BestFatherLen = FatherLen OneBrotherEnough = true ] FatherEnt = FatherEnt-1 ] if OneBrotherEnough then [ let BreakLen = PageLength(IS, 0, BestFatherEnt) let TotLen = PageLength(IS, 0) WritePage(IS, SP, SP>>PSE.PageNo, BreakLen) PushEntSeqEnt(SFP, WriteRightBrother(IS, SP, SFP, RtBroPg1, TotLen-BreakLen)) resultis Empty ] // At this point we know that at least the current page and // two brother pages are involved. resultis RtBroPg1 ] and FindRightBrother(IS, StkFatherPtr, SpaceNeeded, PathStkEntry) = valof [ let Tree = IS>>IS.Tree let LR = Tree>>TREE.LengthRtn let FatherEnt = nil let FatherPtr = 0 LockBTreePtr(Tree, lv FatherPtr) test StkFatherPtr>>PSE.ESLFront eq Empty ifso [ FatherPtr = ReadBTreePage(Tree, StkFatherPtr>>PSE.PageNo) let FatherFreeWords = FatherPtr>>BTP.FreeWords let FatherOffset = StkFatherPtr>>PSE.Offset FatherEnt = FatherPtr+FatherOffset if ((FatherOffset-Rec1Offset) ge (IS>>IS.MaxFreeWords-FatherFreeWords)) then [ UnlockBTreePtr(Tree, lv FatherPtr) resultis Empty ] ] ifnot FatherEnt = (StkFatherPtr>>PSE.ESLFront)>>ESLE.EntSeqP let FatherEntLen = (offset BTE.Record/16)+ LR(lv FatherEnt>>BTE.Record) let RtBroPg = FatherEnt>>BTE.GrPtr let RtBroPtr = ReadBTreePage(Tree, RtBroPg) unless RtBroPtr>>BTP.FreeWords-FatherEntLen ge SpaceNeeded do [ UnlockBTreePtr(Tree, lv FatherPtr) resultis Empty ] LockBTreePtr(Tree, lv RtBroPtr) let RtBroLen = IS>>IS.MaxFreeWords-(RtBroPtr>>BTP. FreeWords) let NewESE = MakeEntSeqEnt(Tree>>TREE.Zone, lv (RtBroPtr>>BTP.BTEBlock), RtBroLen) let ESE = RemoveEntry(Tree, StkFatherPtr) AppendEntSeqEntLens(IS, ESE) AppendEntSeqEnt(PathStkEntry, ESE) AppendEntSeqEntLens(IS, NewESE) AppendEntSeqEnt(PathStkEntry, NewESE) WriteBTreePage(Tree, RtBroPg) UnlockBTreePtr(Tree, lv FatherPtr) UnlockBTreePtr(Tree, lv RtBroPtr) resultis RtBroPg ] and RemoveEntry(Tree, StkPtr, lvOldGrPtr; numargs na) = valof [ let ResultESE = (StkPtr>>PSE.ESLFront eq Empty)? BasicRemoveEntry(Tree, StkPtr), RemoveESE(Tree, StkPtr) let GreaterSonPg = (ResultESE>>ESLE.EntSeqP)>>BTE.GrPtr if na eq 3 then @lvOldGrPtr = GreaterSonPg (ResultESE>>ESLE.EntSeqP)>>BTE.GrPtr = (GreaterSonPg eq Empty)? Empty, (ReadBTreePage(Tree, GreaterSonPg))>>BTP.MinPtr // no need to lock transient reference resultis ResultESE ] and BasicRemoveEntry(Tree, StkPtr) = valof [ let Ptr = WriteBTreePage(Tree, StkPtr>>PSE.PageNo) LockBTreePtr(Tree, lv Ptr) let Offset = StkPtr>>PSE.Offset let Entry = Ptr+Offset let EntLen = (offset BTE.Record/16)+ (Tree>>TREE.LengthRtn)(lv (Entry>>BTE.Record)) let ResultESE = MakeEntSeqEnt(Tree>>TREE.Zone, Entry, EntLen) Ptr>>BTP.FreeWords = Ptr>>BTP.FreeWords+EntLen let TailBlkLen = (Tree>>TREE.PageLength-Ptr>>BTP.FreeWords)-Offset MoveBlock(Entry, Entry+EntLen, TailBlkLen) UnlockBTreePtr(Tree, lv Ptr) resultis ResultESE ] and RemoveESE(Tree, StkPtr) = valof [ let Ent = (StkPtr>>PSE.ESLFront)>> ESLE.EntSeqP let EntLen = (offset BTE.Record/16)+ (Tree>>TREE.LengthRtn)(lv (Ent>>BTE.Record)) let ESE = Allocate(Tree>>TREE.Zone, (offset ESLE.EntSeq/16)+EntLen) ESE>>ESLE.EntSeqP = lv (ESE>>ESLE.EntSeq) ESE>>ESLE.EntSeqLen = EntLen DepositESL(Tree, StkPtr, lv (ESE>>ESLE.EntSeq), EntLen) resultis ESE ] and WriteRightBrother(IS, StkPtr, StkFatherPtr, RtBroPg, NWords) = valof [ let Tree = IS>>IS.Tree let ESE = RemoveESE(Tree, StkPtr) let WordsLeft = NWords-ESE>>ESLE.EntSeqLen let MinPtr = (ESE>>ESLE.EntSeqP)>>BTE.GrPtr (ESE>>ESLE.EntSeqP)>>BTE.GrPtr = RtBroPg WriteBTreePage(Tree, RtBroPg)>>BTP.MinPtr = MinPtr unless WritePage(IS, StkPtr, RtBroPg, WordsLeft) eq WordsLeft do BTreeBug(Tree, ecWritePageWrong) resultis ESE // for father page ] and WritePage(IS, PSE, PageNo, NWords) = valof [ let Tree = IS>>IS.Tree let PagePtr = WriteBTreePage(Tree, PageNo) LockBTreePtr(Tree, lv PagePtr) let SentWords = DepositESL(Tree, PSE, lv (PagePtr>>BTP.BTEBlock), NWords) PagePtr>>BTP.FreeWords = IS>>IS.MaxFreeWords-SentWords UnlockBTreePtr(Tree, lv PagePtr) resultis SentWords ] and EntryLength(IS, Entry) = PageLength(IS, Entry-1, Entry+1) and FillLeftPage(IS, LeftFather, RightFather; numargs na) = valof [ if na ls 3 then RightFather = IS>>IS.ELLLen+1 let MidFather = LeftFather+2 while MidFather ls RightFather-2 & PageLength(IS, LeftFather, MidFather+1) le IS>>IS.MaxFreeWords do MidFather = MidFather+1 resultis MidFather ] and FillRightPage(IS, LeftFather, RightFather; numargs na) = valof [ if na ls 3 then RightFather = IS>>IS.ELLLen+1 let MidFather = RightFather-2 while MidFather gr LeftFather+2 & PageLength(IS, MidFather-1, RightFather) le IS>>IS.MaxFreeWords do MidFather = MidFather-1 resultis MidFather ] and PushEntSeqEnt(PathStkEntry, Entry) be [ Entry>>ESLE.FwdP = PathStkEntry>>PSE.ESLFront PathStkEntry>>PSE.ESLFront = Entry if PathStkEntry>>PSE.ESLRear eq Empty then PathStkEntry>>PSE.ESLRear = Entry ] and PushEntSeqEntLens(IS, EntSeqEnt) be [ // The idea is to add the entries on the tail end and // then to take the added bunch of entries and move them // to the head end, adjusting cumulative lengths // appropriately. // N.B. This must never be done while we have an // active heap, or disaster will ensue. let OldEnd = IS>>IS.ELLLen AppendEntSeqEntLens(IS, EntSeqEnt) let NewEnd = IS>>IS.ELLLen let ELL = IS>>IS.ELLPtr let OldLen = ELL>>ELL.CumEntLen^OldEnd let NewLen = ELL>>ELL.CumEntLen^NewEnd let OldBase = ELL>>ELL.CumEntLen^0 let Zone = (IS>>IS.Tree)>>TREE.Zone let TSize = OldEnd*(size ELE/16) let T = Allocate(Zone, TSize) MoveBlock(T, lv ELL>>ELL.ELE^1, TSize) MoveBlock(lv ELL>>ELL.ELE^1, lv ELL>>ELL.ELE^(OldEnd+1), ((NewEnd-OldEnd)*(size ELE/16))) MoveBlock(lv ELL>>ELL.ELE^(1+NewEnd-OldEnd), T, TSize) Free(Zone, T) ELL>>ELL.CumEntLen^0 = OldBase-(NewLen-OldLen) let Delta = OldBase-NewLen for i=1 to NewEnd-OldEnd do ELL>>ELL.CumEntLen^i = ELL>>ELL.CumEntLen^i+Delta ]