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// Copyright (c) 2017 Couchbase, Inc.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
// Package mergeplan provides a segment merge planning approach that's
// inspired by Lucene's TieredMergePolicy.java and descriptions like
// http://blog.mikemccandless.com/2011/02/visualizing-lucenes-segment-merges.html
package mergeplan
import (
"errors"
"fmt"
"math"
"sort"
"strings"
)
// A Segment represents the information that the planner needs to
// calculate segment merging.
type Segment interface {
// Unique id of the segment -- used for sorting.
Id() uint64
// Full segment size (the size before any logical deletions).
FullSize() int64
// Size of the live data of the segment; i.e., FullSize() minus
// any logical deletions.
LiveSize() int64
}
// Plan() will functionally compute a merge plan. A segment will be
// assigned to at most a single MergeTask in the output MergePlan. A
// segment not assigned to any MergeTask means the segment should
// remain unmerged.
func Plan(segments []Segment, o *MergePlanOptions) (*MergePlan, error) {
return plan(segments, o)
}
// A MergePlan is the result of the Plan() API.
//
// The planner doesn’t know how or whether these tasks are executed --
// that’s up to a separate merge execution system, which might execute
// these tasks concurrently or not, and which might execute all the
// tasks or not.
type MergePlan struct {
Tasks []*MergeTask
}
// A MergeTask represents several segments that should be merged
// together into a single segment.
type MergeTask struct {
Segments []Segment
}
// The MergePlanOptions is designed to be reusable between planning calls.
type MergePlanOptions struct {
// Max # segments per logarithmic tier, or max width of any
// logarithmic “step”. Smaller values mean more merging but fewer
// segments. Should be >= SegmentsPerMergeTask, else you'll have
// too much merging.
MaxSegmentsPerTier int
// Max size of any segment produced after merging. Actual
// merging, however, may produce segment sizes different than the
// planner’s predicted sizes.
MaxSegmentSize int64
// The growth factor for each tier in a staircase of idealized
// segments computed by CalcBudget().
TierGrowth float64
// The number of segments in any resulting MergeTask. e.g.,
// len(result.Tasks[ * ].Segments) == SegmentsPerMergeTask.
SegmentsPerMergeTask int
// Small segments are rounded up to this size, i.e., treated as
// equal (floor) size for consideration. This is to prevent lots
// of tiny segments from resulting in a long tail in the index.
FloorSegmentSize int64
// Controls how aggressively merges that reclaim more deletions
// are favored. Higher values will more aggressively target
// merges that reclaim deletions, but be careful not to go so high
// that way too much merging takes place; a value of 3.0 is
// probably nearly too high. A value of 0.0 means deletions don't
// impact merge selection.
ReclaimDeletesWeight float64
// Optional, defaults to mergeplan.CalcBudget().
CalcBudget func(totalSize int64, firstTierSize int64,
o *MergePlanOptions) (budgetNumSegments int)
// Optional, defaults to mergeplan.ScoreSegments().
ScoreSegments func(segments []Segment, o *MergePlanOptions) float64
// Optional.
Logger func(string)
}
// Returns the higher of the input or FloorSegmentSize.
func (o *MergePlanOptions) RaiseToFloorSegmentSize(s int64) int64 {
if s > o.FloorSegmentSize {
return s
}
return o.FloorSegmentSize
}
// MaxSegmentSizeLimit represents the maximum size of a segment,
// this limit comes with hit-1 optimisation/max encoding limit uint31.
const MaxSegmentSizeLimit = 1<<31 - 1
// ErrMaxSegmentSizeTooLarge is returned when the size of the segment
// exceeds the MaxSegmentSizeLimit
var ErrMaxSegmentSizeTooLarge = errors.New("MaxSegmentSize exceeds the size limit")
// DefaultMergePlanOptions suggests the default options.
var DefaultMergePlanOptions = MergePlanOptions{
MaxSegmentsPerTier: 10,
MaxSegmentSize: 5000000,
TierGrowth: 10.0,
SegmentsPerMergeTask: 10,
FloorSegmentSize: 2000,
ReclaimDeletesWeight: 2.0,
}
// SingleSegmentMergePlanOptions helps in creating a
// single segment index.
var SingleSegmentMergePlanOptions = MergePlanOptions{
MaxSegmentsPerTier: 1,
MaxSegmentSize: 1 << 30,
TierGrowth: 1.0,
SegmentsPerMergeTask: 10,
FloorSegmentSize: 1 << 30,
ReclaimDeletesWeight: 2.0,
}
// -------------------------------------------
func plan(segmentsIn []Segment, o *MergePlanOptions) (*MergePlan, error) {
if len(segmentsIn) <= 1 {
return nil, nil
}
if o == nil {
o = &DefaultMergePlanOptions
}
segments := append([]Segment(nil), segmentsIn...) // Copy.
sort.Sort(byLiveSizeDescending(segments))
var minLiveSize int64 = math.MaxInt64
var eligibles []Segment
var eligiblesLiveSize int64
for _, segment := range segments {
if minLiveSize > segment.LiveSize() {
minLiveSize = segment.LiveSize()
}
// Only small-enough segments are eligible.
if segment.LiveSize() < o.MaxSegmentSize/2 {
eligibles = append(eligibles, segment)
eligiblesLiveSize += segment.LiveSize()
}
}
minLiveSize = o.RaiseToFloorSegmentSize(minLiveSize)
calcBudget := o.CalcBudget
if calcBudget == nil {
calcBudget = CalcBudget
}
budgetNumSegments := calcBudget(eligiblesLiveSize, minLiveSize, o)
scoreSegments := o.ScoreSegments
if scoreSegments == nil {
scoreSegments = ScoreSegments
}
rv := &MergePlan{}
var empties []Segment
for _, eligible := range eligibles {
if eligible.LiveSize() <= 0 {
empties = append(empties, eligible)
}
}
if len(empties) > 0 {
rv.Tasks = append(rv.Tasks, &MergeTask{Segments: empties})
eligibles = removeSegments(eligibles, empties)
}
// While we’re over budget, keep looping, which might produce
// another MergeTask.
for len(eligibles) > 0 && (len(eligibles)+len(rv.Tasks)) > budgetNumSegments {
// Track a current best roster as we examine and score
// potential rosters of merges.
var bestRoster []Segment
var bestRosterScore float64 // Lower score is better.
for startIdx := 0; startIdx < len(eligibles); startIdx++ {
var roster []Segment
var rosterLiveSize int64
for idx := startIdx; idx < len(eligibles) && len(roster) < o.SegmentsPerMergeTask; idx++ {
eligible := eligibles[idx]
if rosterLiveSize+eligible.LiveSize() < o.MaxSegmentSize {
roster = append(roster, eligible)
rosterLiveSize += eligible.LiveSize()
}
}
if len(roster) > 0 {
rosterScore := scoreSegments(roster, o)
if len(bestRoster) == 0 || rosterScore < bestRosterScore {
bestRoster = roster
bestRosterScore = rosterScore
}
}
}
if len(bestRoster) == 0 {
return rv, nil
}
rv.Tasks = append(rv.Tasks, &MergeTask{Segments: bestRoster})
eligibles = removeSegments(eligibles, bestRoster)
}
return rv, nil
}
// Compute the number of segments that would be needed to cover the
// totalSize, by climbing up a logarithmically growing staircase of
// segment tiers.
func CalcBudget(totalSize int64, firstTierSize int64, o *MergePlanOptions) (
budgetNumSegments int) {
tierSize := firstTierSize
if tierSize < 1 {
tierSize = 1
}
maxSegmentsPerTier := o.MaxSegmentsPerTier
if maxSegmentsPerTier < 1 {
maxSegmentsPerTier = 1
}
tierGrowth := o.TierGrowth
if tierGrowth < 1.0 {
tierGrowth = 1.0
}
for totalSize > 0 {
segmentsInTier := float64(totalSize) / float64(tierSize)
if segmentsInTier < float64(maxSegmentsPerTier) {
budgetNumSegments += int(math.Ceil(segmentsInTier))
break
}
budgetNumSegments += maxSegmentsPerTier
totalSize -= int64(maxSegmentsPerTier) * tierSize
tierSize = int64(float64(tierSize) * tierGrowth)
}
return budgetNumSegments
}
// Of note, removeSegments() keeps the ordering of the results stable.
func removeSegments(segments []Segment, toRemove []Segment) []Segment {
rv := make([]Segment, 0, len(segments)-len(toRemove))
OUTER:
for _, segment := range segments {
for _, r := range toRemove {
if segment == r {
continue OUTER
}
}
rv = append(rv, segment)
}
return rv
}
// Smaller result score is better.
func ScoreSegments(segments []Segment, o *MergePlanOptions) float64 {
var totBeforeSize int64
var totAfterSize int64
var totAfterSizeFloored int64
for _, segment := range segments {
totBeforeSize += segment.FullSize()
totAfterSize += segment.LiveSize()
totAfterSizeFloored += o.RaiseToFloorSegmentSize(segment.LiveSize())
}
if totBeforeSize <= 0 || totAfterSize <= 0 || totAfterSizeFloored <= 0 {
return 0
}
// Roughly guess the "balance" of the segments -- whether the
// segments are about the same size.
balance :=
float64(o.RaiseToFloorSegmentSize(segments[0].LiveSize())) /
float64(totAfterSizeFloored)
// Gently favor smaller merges over bigger ones. We don't want to
// make the exponent too large else we end up with poor merges of
// small segments in order to avoid the large merges.
score := balance * math.Pow(float64(totAfterSize), 0.05)
// Strongly favor merges that reclaim deletes.
nonDelRatio := float64(totAfterSize) / float64(totBeforeSize)
score *= math.Pow(nonDelRatio, o.ReclaimDeletesWeight)
return score
}
// ------------------------------------------
// ToBarChart returns an ASCII rendering of the segments and the plan.
// The barMax is the max width of the bars in the bar chart.
func ToBarChart(prefix string, barMax int, segments []Segment, plan *MergePlan) string {
rv := make([]string, 0, len(segments))
var maxFullSize int64
for _, segment := range segments {
if maxFullSize < segment.FullSize() {
maxFullSize = segment.FullSize()
}
}
if maxFullSize < 0 {
maxFullSize = 1
}
for _, segment := range segments {
barFull := int(segment.FullSize())
barLive := int(segment.LiveSize())
if maxFullSize > int64(barMax) {
barFull = int(float64(barMax) * float64(barFull) / float64(maxFullSize))
barLive = int(float64(barMax) * float64(barLive) / float64(maxFullSize))
}
barKind := " "
barChar := "."
if plan != nil {
TASK_LOOP:
for taski, task := range plan.Tasks {
for _, taskSegment := range task.Segments {
if taskSegment == segment {
barKind = "*"
barChar = fmt.Sprintf("%d", taski)
break TASK_LOOP
}
}
}
}
bar :=
strings.Repeat(barChar, barLive)[0:barLive] +
strings.Repeat("x", barFull-barLive)[0:barFull-barLive]
rv = append(rv, fmt.Sprintf("%s %5d: %5d /%5d - %s %s", prefix,
segment.Id(),
segment.LiveSize(),
segment.FullSize(),
barKind, bar))
}
return strings.Join(rv, "\n")
}
// ValidateMergePlannerOptions validates the merge planner options
func ValidateMergePlannerOptions(options *MergePlanOptions) error {
if options.MaxSegmentSize > MaxSegmentSizeLimit {
return ErrMaxSegmentSizeTooLarge
}
return nil
}