// Package bitseq provides a structure and utilities for representing long bitmask // as sequence of run-lenght encoded blocks. It operates direclty on the encoded // representation, it does not decode/encode. package bitseq import ( "encoding/binary" "fmt" "sync" "github.com/docker/libnetwork/datastore" "github.com/docker/libnetwork/types" ) // block sequence constants // If needed we can think of making these configurable const ( blockLen = uint32(32) blockBytes = blockLen / 8 blockMAX = uint32(1<%s", s.block, s.count, nextBlock) } // GetAvailableBit returns the position of the first unset bit in the bitmask represented by this sequence func (s *sequence) getAvailableBit(from uint32) (uint32, uint32, error) { if s.block == blockMAX || s.count == 0 { return invalidPos, invalidPos, errNoBitAvailable } bits := from bitSel := blockFirstBit >> from for bitSel > 0 && s.block&bitSel != 0 { bitSel >>= 1 bits++ } return bits / 8, bits % 8, nil } // GetCopy returns a copy of the linked list rooted at this node func (s *sequence) getCopy() *sequence { n := &sequence{block: s.block, count: s.count} pn := n ps := s.next for ps != nil { pn.next = &sequence{block: ps.block, count: ps.count} pn = pn.next ps = ps.next } return n } // Equal checks if this sequence is equal to the passed one func (s *sequence) equal(o *sequence) bool { this := s other := o for this != nil { if other == nil { return false } if this.block != other.block || this.count != other.count { return false } this = this.next other = other.next } // Check if other is longer than this if other != nil { return false } return true } // ToByteArray converts the sequence into a byte array func (s *sequence) toByteArray() ([]byte, error) { var bb []byte p := s for p != nil { b := make([]byte, 8) binary.BigEndian.PutUint32(b[0:], p.block) binary.BigEndian.PutUint32(b[4:], p.count) bb = append(bb, b...) p = p.next } return bb, nil } // fromByteArray construct the sequence from the byte array func (s *sequence) fromByteArray(data []byte) error { l := len(data) if l%8 != 0 { return fmt.Errorf("cannot deserialize byte sequence of lenght %d (%v)", l, data) } p := s i := 0 for { p.block = binary.BigEndian.Uint32(data[i : i+4]) p.count = binary.BigEndian.Uint32(data[i+4 : i+8]) i += 8 if i == l { break } p.next = &sequence{} p = p.next } return nil } func (h *Handle) getCopy() *Handle { return &Handle{ bits: h.bits, unselected: h.unselected, head: h.head.getCopy(), app: h.app, id: h.id, dbIndex: h.dbIndex, dbExists: h.dbExists, store: h.store, } } // SetAnyInRange atomically sets the first unset bit in the specified range in the sequence and returns the corresponding ordinal func (h *Handle) SetAnyInRange(start, end uint32) (uint32, error) { if end-start <= 0 || end >= h.bits { return invalidPos, fmt.Errorf("invalid bit range [%d, %d]", start, end) } if h.Unselected() == 0 { return invalidPos, errNoBitAvailable } return h.set(0, start, end, true, false) } // SetAny atomically sets the first unset bit in the sequence and returns the corresponding ordinal func (h *Handle) SetAny() (uint32, error) { if h.Unselected() == 0 { return invalidPos, errNoBitAvailable } return h.set(0, 0, h.bits-1, true, false) } // Set atomically sets the corresponding bit in the sequence func (h *Handle) Set(ordinal uint32) error { if err := h.validateOrdinal(ordinal); err != nil { return err } _, err := h.set(ordinal, 0, 0, false, false) return err } // Unset atomically unsets the corresponding bit in the sequence func (h *Handle) Unset(ordinal uint32) error { if err := h.validateOrdinal(ordinal); err != nil { return err } _, err := h.set(ordinal, 0, 0, false, true) return err } // IsSet atomically checks if the ordinal bit is set. In case ordinal // is outside of the bit sequence limits, false is returned. func (h *Handle) IsSet(ordinal uint32) bool { if err := h.validateOrdinal(ordinal); err != nil { return false } h.Lock() _, _, err := checkIfAvailable(h.head, ordinal) h.Unlock() return err != nil } // set/reset the bit func (h *Handle) set(ordinal, start, end uint32, any bool, release bool) (uint32, error) { var ( bitPos uint32 bytePos uint32 ret uint32 err error ) for { h.Lock() // Get position if available if release { bytePos, bitPos = ordinalToPos(ordinal) } else { if any { bytePos, bitPos, err = getFirstAvailable(h.head, start) ret = posToOrdinal(bytePos, bitPos) if end < ret { err = errNoBitAvailable } } else { bytePos, bitPos, err = checkIfAvailable(h.head, ordinal) ret = ordinal } } if err != nil { h.Unlock() return ret, err } // Create a private copy of h and work on it nh := h.getCopy() h.Unlock() nh.head = pushReservation(bytePos, bitPos, nh.head, release) if release { nh.unselected++ } else { nh.unselected-- } // Attempt to write private copy to store if err := nh.writeToStore(); err != nil { if _, ok := err.(types.RetryError); !ok { return ret, fmt.Errorf("internal failure while setting the bit: %v", err) } // Retry continue } // Previous atomic push was succesfull. Save private copy to local copy h.Lock() defer h.Unlock() h.unselected = nh.unselected h.head = nh.head h.dbExists = nh.dbExists h.dbIndex = nh.dbIndex return ret, nil } } // checks is needed because to cover the case where the number of bits is not a multiple of blockLen func (h *Handle) validateOrdinal(ordinal uint32) error { if ordinal >= h.bits { return fmt.Errorf("bit does not belong to the sequence") } return nil } // Destroy removes from the datastore the data belonging to this handle func (h *Handle) Destroy() { h.deleteFromStore() } // ToByteArray converts this handle's data into a byte array func (h *Handle) ToByteArray() ([]byte, error) { h.Lock() defer h.Unlock() ba := make([]byte, 8) binary.BigEndian.PutUint32(ba[0:], h.bits) binary.BigEndian.PutUint32(ba[4:], h.unselected) bm, err := h.head.toByteArray() if err != nil { return nil, fmt.Errorf("failed to serialize head: %s", err.Error()) } ba = append(ba, bm...) return ba, nil } // FromByteArray reads his handle's data from a byte array func (h *Handle) FromByteArray(ba []byte) error { if ba == nil { return fmt.Errorf("nil byte array") } nh := &sequence{} err := nh.fromByteArray(ba[8:]) if err != nil { return fmt.Errorf("failed to deserialize head: %s", err.Error()) } h.Lock() h.head = nh h.bits = binary.BigEndian.Uint32(ba[0:4]) h.unselected = binary.BigEndian.Uint32(ba[4:8]) h.Unlock() return nil } // Bits returns the length of the bit sequence func (h *Handle) Bits() uint32 { return h.bits } // Unselected returns the number of bits which are not selected func (h *Handle) Unselected() uint32 { h.Lock() defer h.Unlock() return h.unselected } func (h *Handle) String() string { h.Lock() defer h.Unlock() return fmt.Sprintf("App: %s, ID: %s, DBIndex: 0x%x, bits: %d, unselected: %d, sequence: %s", h.app, h.id, h.dbIndex, h.bits, h.unselected, h.head.toString()) } // getFirstAvailable looks for the first unset bit in passed mask starting from start func getFirstAvailable(head *sequence, start uint32) (uint32, uint32, error) { // Find sequence which contains the start bit byteStart, bitStart := ordinalToPos(start) current, _, _, inBlockBytePos := findSequence(head, byteStart) // Derive the this sequence offsets byteOffset := byteStart - inBlockBytePos bitOffset := inBlockBytePos*8 + bitStart for current != nil { if current.block != blockMAX { bytePos, bitPos, err := current.getAvailableBit(bitOffset) return byteOffset + bytePos, bitPos, err } // Moving to next block: Reset bit offset. bitOffset = 0 byteOffset += current.count * blockBytes current = current.next } return invalidPos, invalidPos, errNoBitAvailable } // checkIfAvailable checks if the bit correspondent to the specified ordinal is unset // If the ordinal is beyond the sequence limits, a negative response is returned func checkIfAvailable(head *sequence, ordinal uint32) (uint32, uint32, error) { bytePos, bitPos := ordinalToPos(ordinal) // Find the sequence containing this byte current, _, _, inBlockBytePos := findSequence(head, bytePos) if current != nil { // Check whether the bit corresponding to the ordinal address is unset bitSel := blockFirstBit >> (inBlockBytePos*8 + bitPos) if current.block&bitSel == 0 { return bytePos, bitPos, nil } } return invalidPos, invalidPos, fmt.Errorf("requested bit is not available") } // Given the byte position and the sequences list head, return the pointer to the // sequence containing the byte (current), the pointer to the previous sequence, // the number of blocks preceding the block containing the byte inside the current sequence. // If bytePos is outside of the list, function will return (nil, nil, 0, invalidPos) func findSequence(head *sequence, bytePos uint32) (*sequence, *sequence, uint32, uint32) { // Find the sequence containing this byte previous := head current := head n := bytePos for current.next != nil && n >= (current.count*blockBytes) { // Nil check for less than 32 addresses masks n -= (current.count * blockBytes) previous = current current = current.next } // If byte is outside of the list, let caller know if n >= (current.count * blockBytes) { return nil, nil, 0, invalidPos } // Find the byte position inside the block and the number of blocks // preceding the block containing the byte inside this sequence precBlocks := n / blockBytes inBlockBytePos := bytePos % blockBytes return current, previous, precBlocks, inBlockBytePos } // PushReservation pushes the bit reservation inside the bitmask. // Given byte and bit positions, identify the sequence (current) which holds the block containing the affected bit. // Create a new block with the modified bit according to the operation (allocate/release). // Create a new sequence containing the new block and insert it in the proper position. // Remove current sequence if empty. // Check if new sequence can be merged with neighbour (previous/next) sequences. // // // Identify "current" sequence containing block: // [prev seq] [current seq] [next seq] // // Based on block position, resulting list of sequences can be any of three forms: // // block position Resulting list of sequences // A) block is first in current: [prev seq] [new] [modified current seq] [next seq] // B) block is last in current: [prev seq] [modified current seq] [new] [next seq] // C) block is in the middle of current: [prev seq] [curr pre] [new] [curr post] [next seq] func pushReservation(bytePos, bitPos uint32, head *sequence, release bool) *sequence { // Store list's head newHead := head // Find the sequence containing this byte current, previous, precBlocks, inBlockBytePos := findSequence(head, bytePos) if current == nil { return newHead } // Construct updated block bitSel := blockFirstBit >> (inBlockBytePos*8 + bitPos) newBlock := current.block if release { newBlock &^= bitSel } else { newBlock |= bitSel } // Quit if it was a redundant request if current.block == newBlock { return newHead } // Current sequence inevitably looses one block, upadate count current.count-- // Create new sequence newSequence := &sequence{block: newBlock, count: 1} // Insert the new sequence in the list based on block position if precBlocks == 0 { // First in sequence (A) newSequence.next = current if current == head { newHead = newSequence previous = newHead } else { previous.next = newSequence } removeCurrentIfEmpty(&newHead, newSequence, current) mergeSequences(previous) } else if precBlocks == current.count-2 { // Last in sequence (B) newSequence.next = current.next current.next = newSequence mergeSequences(current) } else { // In between the sequence (C) currPre := &sequence{block: current.block, count: precBlocks, next: newSequence} currPost := current currPost.count -= precBlocks newSequence.next = currPost if currPost == head { newHead = currPre } else { previous.next = currPre } // No merging or empty current possible here } return newHead } // Removes the current sequence from the list if empty, adjusting the head pointer if needed func removeCurrentIfEmpty(head **sequence, previous, current *sequence) { if current.count == 0 { if current == *head { *head = current.next } else { previous.next = current.next current = current.next } } } // Given a pointer to a sequence, it checks if it can be merged with any following sequences // It stops when no more merging is possible. // TODO: Optimization: only attempt merge from start to end sequence, no need to scan till the end of the list func mergeSequences(seq *sequence) { if seq != nil { // Merge all what possible from seq for seq.next != nil && seq.block == seq.next.block { seq.count += seq.next.count seq.next = seq.next.next } // Move to next mergeSequences(seq.next) } } func getNumBlocks(numBits uint32) uint32 { numBlocks := numBits / blockLen if numBits%blockLen != 0 { numBlocks++ } return numBlocks } func ordinalToPos(ordinal uint32) (uint32, uint32) { return ordinal / 8, ordinal % 8 } func posToOrdinal(bytePos, bitPos uint32) uint32 { return bytePos*8 + bitPos }