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// Copyright 2011 The Go Authors. All rights reserved.
// Use of this source code is governed by a BSD-style
// license that can be found in the LICENSE file.
// This algorithm is based on "Faster Suffix Sorting"
// by N. Jesper Larsson and Kunihiko Sadakane
// paper: http://www.larsson.dogma.net/ssrev-tr.pdf
// code: http://www.larsson.dogma.net/qsufsort.c
// This algorithm computes the suffix array sa by computing its inverse.
// Consecutive groups of suffixes in sa are labeled as sorted groups or
// unsorted groups. For a given pass of the sorter, all suffixes are ordered
// up to their first h characters, and sa is h-ordered. Suffixes in their
// final positions and unambiguouly sorted in h-order are in a sorted group.
// Consecutive groups of suffixes with identical first h characters are an
// unsorted group. In each pass of the algorithm, unsorted groups are sorted
// according to the group number of their following suffix.
// In the implementation, if sa[i] is negative, it indicates that i is
// the first element of a sorted group of length -sa[i], and can be skipped.
// An unsorted group sa[i:k] is given the group number of the index of its
// last element, k-1. The group numbers are stored in the inverse slice (inv),
// and when all groups are sorted, this slice is the inverse suffix array.
package suffixarray
import "sort"
func qsufsort(data []byte) []int {
// initial sorting by first byte of suffix
sa := sortedByFirstByte(data)
if len(sa) < 2 {
return sa
}
// initialize the group lookup table
// this becomes the inverse of the suffix array when all groups are sorted
inv := initGroups(sa, data)
// the index starts 1-ordered
sufSortable := &suffixSortable{sa, inv, 1}
for sa[0] > -len(sa) { // until all suffixes are one big sorted group
// The suffixes are h-ordered, make them 2*h-ordered
pi := 0 // pi is first position of first group
sl := 0 // sl is negated length of sorted groups
for pi < len(sa) {
if s := sa[pi]; s < 0 { // if pi starts sorted group
pi -= s // skip over sorted group
sl += s // add negated length to sl
} else { // if pi starts unsorted group
if sl != 0 {
sa[pi+sl] = sl // combine sorted groups before pi
sl = 0
}
pk := inv[s] + 1 // pk-1 is last position of unsorted group
sufSortable.sa = sa[pi:pk]
sort.Sort(sufSortable)
sufSortable.updateGroups(pi)
pi = pk // next group
}
}
if sl != 0 { // if the array ends with a sorted group
sa[pi+sl] = sl // combine sorted groups at end of sa
}
sufSortable.h *= 2 // double sorted depth
}
for i := range sa { // reconstruct suffix array from inverse
sa[inv[i]] = i
}
return sa
}
func sortedByFirstByte(data []byte) []int {
// total byte counts
var count [256]int
for _, b := range data {
count[b]++
}
// make count[b] equal index of first occurence of b in sorted array
sum := 0
for b := range count {
count[b], sum = sum, count[b]+sum
}
// iterate through bytes, placing index into the correct spot in sa
sa := make([]int, len(data))
for i, b := range data {
sa[count[b]] = i
count[b]++
}
return sa
}
func initGroups(sa []int, data []byte) []int {
// label contiguous same-letter groups with the same group number
inv := make([]int, len(data))
prevGroup := len(sa) - 1
groupByte := data[sa[prevGroup]]
for i := len(sa) - 1; i >= 0; i-- {
if b := data[sa[i]]; b < groupByte {
if prevGroup == i+1 {
sa[i+1] = -1
}
groupByte = b
prevGroup = i
}
inv[sa[i]] = prevGroup
if prevGroup == 0 {
sa[0] = -1
}
}
// Separate out the final suffix to the start of its group.
// This is necessary to ensure the suffix "a" is before "aba"
// when using a potentially unstable sort.
lastByte := data[len(data)-1]
s := -1
for i := range sa {
if sa[i] >= 0 {
if data[sa[i]] == lastByte && s == -1 {
s = i
}
if sa[i] == len(sa)-1 {
sa[i], sa[s] = sa[s], sa[i]
inv[sa[s]] = s
sa[s] = -1 // mark it as an isolated sorted group
break
}
}
}
return inv
}
type suffixSortable struct {
sa []int
inv []int
h int
}
func (x *suffixSortable) Len() int { return len(x.sa) }
func (x *suffixSortable) Less(i, j int) bool { return x.inv[x.sa[i]+x.h] < x.inv[x.sa[j]+x.h] }
func (x *suffixSortable) Swap(i, j int) { x.sa[i], x.sa[j] = x.sa[j], x.sa[i] }
func (x *suffixSortable) updateGroups(offset int) {
prev := len(x.sa) - 1
group := x.inv[x.sa[prev]+x.h]
for i := prev; i >= 0; i-- {
if g := x.inv[x.sa[i]+x.h]; g < group {
if prev == i+1 { // previous group had size 1 and is thus sorted
x.sa[i+1] = -1
}
group = g
prev = i
}
x.inv[x.sa[i]] = prev + offset
if prev == 0 { // first group has size 1 and is thus sorted
x.sa[0] = -1
}
}
}
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