// B-Tree Maintenance Routines // Copyright Xerox Corporation 1979, 1980, 1981, 1982 // BTreeWrtMS0.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 May 9, 1982 5:24 PM by Taft get "btree.decl" external [ Allocate // Defined by OS Free MoveBlock DefaultArgs Dvec ReadBTreePage // defined by OpenBTree WriteBTreePage LockBTreePtr UnlockBTreePtr BTreeBug PathRecLE // Defined in BTreeRead.bcpl BackUpOneRecord PopStack ReadStack ReadStackAndLockBTreePtr GetRecord ] external [ UpdateRecord // Defined in BTreeWrtMS.bcpl InsertRecords ComplexInsertRecords HairyInsertRecords MakeNewRoot PageLength EntryLength FillLeftPage FillRightPage AppendEntSeqEnt PushEntSeqEnt MakeEntSeqEnt ComputeEntLens PushEntSeqEntLens AppendEntSeqEntLens DepositESL FindRightBrother FindLeftBrother RemoveEntry WriteRightBrother WritePage AddToHeap TrickleDown RemoveFromHeap SiftUp FabricateIS FreeIS ] let UpdateRecord(Tree, Key, RecordGenerator, Param, CKR, PathStk, UseExistingPath; numargs na) be [ DefaultArgs(lv na, -3, 0, Tree>>TREE.CompareKeyRtn, size PS/16, false) if PathStk eq size PS/16 then [ Dvec(UpdateRecord, lv PathStk); UseExistingPath = false ] let LR = Tree>>TREE.LengthRtn let Zone = Tree>>TREE.Zone let OrigST = PathRecLE(Tree, PathStk, UseExistingPath, Key, CKR) let FoundRecord = Empty let FoundRecLen = nil if PathStk>>PS.PathStkTop ge 1 then [ FoundRecord = GetRecord(Tree, PathStk, false) FoundRecLen = LR(FoundRecord) unless CKR(Key, FoundRecord) eq 0 do [ Free(Zone, FoundRecord); FoundRecord = Empty ] ] let Record = RecordGenerator(FoundRecord, Param) let RecLen = LR(Record) unless CKR(Key, Record) eq 0 do BTreeBug(Tree, ecRecGenReturnedWrongKey) // This update may change the tree in ways that invalidate any // existing PathStk. Tree>>TREE.Version = Tree>>TREE.Version+1 // To minimize average insertion time, perform the update in one of // three ways (in increasing order of difficulty, as measured by amount // of temporary storage allocated and amount of data copied): // (1) If replacing an existing record of the same size, just overwrite it. // (2) If the new record fits on the page (after removing the old record // if any), just slide up the records beyond the insertion point and // insert the new record. // (3) Otherwise, leave the new record as an ESE at the appropriate // stack level, and let InsertRecords cope with the problem. let PSE = lv (PathStk>>PS.PSE↑(PathStk>>PS.PathStkTop)) if FoundRecord ne Empty & RecLen eq FoundRecLen then [ // New record same length as old, just copy it over let PagePtr = WriteBTreePage(Tree, PSE>>PSE.PageNo) LockBTreePtr(Tree, lv PagePtr) MoveBlock(lv (PagePtr+PSE>>PSE.LastOffset)>>BTE.Record, Record, RecLen) UnlockBTreePtr(Tree, lv PagePtr) Free(Zone, Record) return ] let OldRecGrPtr = Empty test FoundRecord eq Empty ifso [ PathStk>>PS.PathStkTop = OrigST PSE = lv (PathStk>>PS.PSE↑(PathStk>>PS.PathStkTop)) Tree>>TREE.RecordCount = Tree>>TREE.RecordCount+1 Tree>>TREE.StateDirty = true ] ifnot [ BackUpOneRecord(Tree, PSE) Free(Zone, RemoveEntry(Tree, PSE, lv OldRecGrPtr)) ] let EntLen = RecLen+(offset BTE.Record/16) if EntLen le ReadStack(Tree, PathStk)>>BTP.FreeWords then [ // New record fits on the page -- insert it the easy way let PagePtr = WriteBTreePage(Tree, PSE>>PSE.PageNo) LockBTreePtr(Tree, lv PagePtr) let NewEnt = PagePtr + PSE>>PSE.Offset let FreeEnt = PagePtr + Tree>>TREE.PageLength - PagePtr>>BTP.FreeWords while FreeEnt gr NewEnt do [ // slide up in chunks -- MoveBlock goes the wrong way MoveBlock(FreeEnt, FreeEnt-EntLen, EntLen) FreeEnt = FreeEnt - EntLen ] MoveBlock(lv NewEnt>>BTE.Record, Record, RecLen) NewEnt>>BTE.GrPtr = OldRecGrPtr PagePtr>>BTP.FreeWords = PagePtr>>BTP.FreeWords - EntLen UnlockBTreePtr(Tree, lv PagePtr) Free(Zone, Record) return ] let RecPtr = Allocate(Zone, EntLen) MoveBlock(lv (RecPtr>>BTE.Record), Record, RecLen) RecPtr>>BTE.GrPtr = OldRecGrPtr Free(Zone, Record) AppendEntSeqEnt(PSE, MakeEntSeqEnt(Zone, RecPtr, EntLen)) Free(Zone, RecPtr) let IS = FabricateIS(Tree, PathStk) while (PathStk>>PS.PathStkTop ge 0) & (PathStk>>PS.PSE↑(PathStk>>PS.PathStkTop).ESLFront ne Empty) do [ InsertRecords(Tree, PathStk, IS) PopStack(PathStk) ] FreeIS(IS) ] and MakeEntSeqEnt(Zone, EntSeq, Length) = valof [ let E = Allocate(Zone, (offset ESLE.EntSeq/16)+Length) E>>ESLE.EntSeqP = lv E>>ESLE.EntSeq E>>ESLE.EntSeqLen = Length MoveBlock(lv E>>ESLE.EntSeq, EntSeq, Length) resultis E ] and AppendEntSeqEnt(PathStkEntry, Entry) be [ Entry>>ESLE.FwdP = Empty test PathStkEntry>>PSE.ESLRear eq Empty ifso PathStkEntry>>PSE.ESLFront = Entry ifnot (PathStkEntry>>PSE.ESLRear)>>ESLE.FwdP = Entry PathStkEntry>>PSE.ESLRear = Entry ] and FabricateIS(Tree, PathStk) = valof [ let Zone = Tree>>TREE.Zone let IS = Allocate(Zone, size IS/16) IS>>IS.Tree = Tree let MaxFreeWords = Tree>>TREE.PageLength-PageOverhead IS>>IS.MaxFreeWords = MaxFreeWords IS>>IS.AwfullyFull = (9*MaxFreeWords)/10 IS>>IS.PrettyFull = (2*MaxFreeWords)/3 IS>>IS.FairlyFull = MaxFreeWords/2 IS>>IS.BreathingSpace = MaxFreeWords-IS>>IS.AwfullyFull IS>>IS.PathStk = PathStk IS>>IS.HeapPtr = Allocate(Zone, size HP/16) IS>>IS.ELLPtr = Allocate(Zone, size ELL/16) resultis IS ] and FreeIS(IS) be [ let Zone = (IS>>IS.Tree)>>TREE.Zone Free(Zone, IS>>IS.HeapPtr) Free(Zone, IS>>IS.ELLPtr) Free(Zone, IS) ] and InsertRecords(Tree, PathStk, IS) be [ let PathStkTop = PathStk>>PS.PathStkTop let SP = lv PathStk>>PS.PSE↑PathStkTop if SP>>PSE.ESLFront eq Empty then return let Zone = Tree>>TREE.Zone ComputeEntLens(IS, SP) if PathStkTop le 0 then [ MakeNewRoot(IS, SP, Tree) return ] let CurPtr = WriteBTreePage(Tree, SP>>PSE.PageNo) LockBTreePtr(Tree, lv CurPtr) let FreeWords = CurPtr>>BTP.FreeWords let Offset = SP>>PSE.Offset let TailBlkPtr = CurPtr+Offset let TailBlkLen = (IS>>IS.MaxFreeWords-FreeWords)- (Offset-Rec1Offset) let NewWords = PageLength(IS, 0) if NewWords le FreeWords then // All entries fit the current page. Hurrah! [ let T = Allocate(Zone, IS>>IS.MaxFreeWords) MoveBlock(T, TailBlkPtr, TailBlkLen) unless DepositESL(Tree, SP, TailBlkPtr, NewWords) eq NewWords do BTreeBug(Tree, ecDepositESLWrong) MoveBlock(TailBlkPtr+NewWords, T, TailBlkLen) Free(Zone, T) CurPtr>>BTP.FreeWords = FreeWords-NewWords UnlockBTreePtr(Tree, lv CurPtr) return ] // Not all the entries will fit on the current page. This is // getting complex. let LeftESEnt = MakeEntSeqEnt(Zone, CurPtr+Rec1Offset, Offset-Rec1Offset) PushEntSeqEnt(SP, LeftESEnt) PushEntSeqEntLens(IS, LeftESEnt) let RightESEnt = MakeEntSeqEnt(Zone, TailBlkPtr, TailBlkLen) AppendEntSeqEnt(SP, RightESEnt) AppendEntSeqEntLens(IS, RightESEnt) UnlockBTreePtr(Tree, lv CurPtr) let RtBroPg1 = ComplexInsertRecords(Tree, PathStk, IS) if RtBroPg1 ne Empty then HairyInsertRecords(Tree, PathStk, IS, RtBroPg1) ] and ComputeEntLens(IS, PSE) be [ IS>>IS.ELLLen = 0 (IS>>IS.ELLPtr)>>ELL.CumEntLen↑0 = 0 let NextToScan = PSE>>PSE.ESLFront while NextToScan ne Empty do [ AppendEntSeqEntLens(IS, NextToScan) NextToScan = NextToScan>>ESLE.FwdP ] ] and AppendEntSeqEntLens(IS, EntSeqEnt) be [ let LR = (IS>>IS.Tree)>>TREE.LengthRtn let CurSize = IS>>IS.ELLLen let EntLens = IS>>IS.ELLPtr let CumLen = EntLens>>ELL.CumEntLen↑CurSize let WordsLeft = EntSeqEnt>>ESLE.EntSeqLen let BTEntry = EntSeqEnt>>ESLE.EntSeqP while WordsLeft gr 0 do [ CurSize = CurSize+1 let LengthThisEntry = (offset BTE.Record/16)+ LR(BTEntry+(offset BTE.Record/16)) CumLen = CumLen+LengthThisEntry EntLens>>ELL.CumEntLen↑CurSize = CumLen BTEntry = BTEntry+LengthThisEntry WordsLeft = WordsLeft-LengthThisEntry ] IS>>IS.ELLLen = CurSize ] and PageLength(IS, LeftFather, RightFather; numargs na) = valof [ if na ls 3 then RightFather = IS>>IS.ELLLen+1 let EntLens = IS>>IS.ELLPtr resultis (EntLens>>ELL.CumEntLen↑(RightFather-1)- EntLens>>ELL.CumEntLen↑LeftFather) ] and DepositESL(Tree, PSE, Block, Length) = valof [ let LR = Tree>>TREE.LengthRtn let OrigLength = Length while PSE>>PSE.ESLFront ne Empty do [ let ESLFront = PSE>>PSE.ESLFront let ESP = ESLFront>>ESLE.EntSeqP let ESLen = ESLFront>>ESLE.EntSeqLen test ESLen le Length ifso [ MoveBlock(Block, ESP, ESLen) Block = Block+ESLen Length = Length-ESLen PSE>>PSE.ESLFront = ESLFront>>ESLE.FwdP Free(Tree>>TREE.Zone, ESLFront) ] ifnot [ let FirstRecP = lv (ESP>>BTE.Record) let FirstEntLen = LR(FirstRecP)+ (offset BTE.Record/16) test FirstEntLen le Length ifso [ MoveBlock(Block, ESP, FirstEntLen) Block = Block+FirstEntLen Length = Length-FirstEntLen ESLFront>>ESLE.EntSeqP = ESP+FirstEntLen ESLFront>>ESLE.EntSeqLen = ESLen-FirstEntLen ] ifnot resultis OrigLength-Length ] ] PSE>>PSE.ESLRear = Empty resultis OrigLength-Length ]