Adding upstream version 1.20.14.upstream/1.20.14upstream

Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>

1 files changed, 1741 insertions, 0 deletions

diff --git a/src/index/suffixarray/sais2.go b/src/index/suffixarray/sais2.go
new file mode 100644
index 0000000..32b8972
--- /dev/null
+++ b/src/index/suffixarray/sais2.go
@@ -0,0 +1,1741 @@
+// Copyright 2019 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.
+
+// Code generated by go generate; DO NOT EDIT.
+
+package suffixarray
+
+func text_64(text []byte, sa []int64) {
+	if int(int64(len(text))) != len(text) || len(text) != len(sa) {
+		panic("suffixarray: misuse of text_64")
+	}
+	sais_8_64(text, 256, sa, make([]int64, 2*256))
+}
+
+func sais_8_64(text []byte, textMax int, sa, tmp []int64) {
+	if len(sa) != len(text) || len(tmp) < int(textMax) {
+		panic("suffixarray: misuse of sais_8_64")
+	}
+
+	// Trivial base cases. Sorting 0 or 1 things is easy.
+	if len(text) == 0 {
+		return
+	}
+	if len(text) == 1 {
+		sa[0] = 0
+		return
+	}
+
+	// Establish slices indexed by text character
+	// holding character frequency and bucket-sort offsets.
+	// If there's only enough tmp for one slice,
+	// we make it the bucket offsets and recompute
+	// the character frequency each time we need it.
+	var freq, bucket []int64
+	if len(tmp) >= 2*textMax {
+		freq, bucket = tmp[:textMax], tmp[textMax:2*textMax]
+		freq[0] = -1 // mark as uninitialized
+	} else {
+		freq, bucket = nil, tmp[:textMax]
+	}
+
+	// The SAIS algorithm.
+	// Each of these calls makes one scan through sa.
+	// See the individual functions for documentation
+	// about each's role in the algorithm.
+	numLMS := placeLMS_8_64(text, sa, freq, bucket)
+	if numLMS <= 1 {
+		// 0 or 1 items are already sorted. Do nothing.
+	} else {
+		induceSubL_8_64(text, sa, freq, bucket)
+		induceSubS_8_64(text, sa, freq, bucket)
+		length_8_64(text, sa, numLMS)
+		maxID := assignID_8_64(text, sa, numLMS)
+		if maxID < numLMS {
+			map_64(sa, numLMS)
+			recurse_64(sa, tmp, numLMS, maxID)
+			unmap_8_64(text, sa, numLMS)
+		} else {
+			// If maxID == numLMS, then each LMS-substring
+			// is unique, so the relative ordering of two LMS-suffixes
+			// is determined by just the leading LMS-substring.
+			// That is, the LMS-suffix sort order matches the
+			// (simpler) LMS-substring sort order.
+			// Copy the original LMS-substring order into the
+			// suffix array destination.
+			copy(sa, sa[len(sa)-numLMS:])
+		}
+		expand_8_64(text, freq, bucket, sa, numLMS)
+	}
+	induceL_8_64(text, sa, freq, bucket)
+	induceS_8_64(text, sa, freq, bucket)
+
+	// Mark for caller that we overwrote tmp.
+	tmp[0] = -1
+}
+
+func sais_32(text []int32, textMax int, sa, tmp []int32) {
+	if len(sa) != len(text) || len(tmp) < int(textMax) {
+		panic("suffixarray: misuse of sais_32")
+	}
+
+	// Trivial base cases. Sorting 0 or 1 things is easy.
+	if len(text) == 0 {
+		return
+	}
+	if len(text) == 1 {
+		sa[0] = 0
+		return
+	}
+
+	// Establish slices indexed by text character
+	// holding character frequency and bucket-sort offsets.
+	// If there's only enough tmp for one slice,
+	// we make it the bucket offsets and recompute
+	// the character frequency each time we need it.
+	var freq, bucket []int32
+	if len(tmp) >= 2*textMax {
+		freq, bucket = tmp[:textMax], tmp[textMax:2*textMax]
+		freq[0] = -1 // mark as uninitialized
+	} else {
+		freq, bucket = nil, tmp[:textMax]
+	}
+
+	// The SAIS algorithm.
+	// Each of these calls makes one scan through sa.
+	// See the individual functions for documentation
+	// about each's role in the algorithm.
+	numLMS := placeLMS_32(text, sa, freq, bucket)
+	if numLMS <= 1 {
+		// 0 or 1 items are already sorted. Do nothing.
+	} else {
+		induceSubL_32(text, sa, freq, bucket)
+		induceSubS_32(text, sa, freq, bucket)
+		length_32(text, sa, numLMS)
+		maxID := assignID_32(text, sa, numLMS)
+		if maxID < numLMS {
+			map_32(sa, numLMS)
+			recurse_32(sa, tmp, numLMS, maxID)
+			unmap_32(text, sa, numLMS)
+		} else {
+			// If maxID == numLMS, then each LMS-substring
+			// is unique, so the relative ordering of two LMS-suffixes
+			// is determined by just the leading LMS-substring.
+			// That is, the LMS-suffix sort order matches the
+			// (simpler) LMS-substring sort order.
+			// Copy the original LMS-substring order into the
+			// suffix array destination.
+			copy(sa, sa[len(sa)-numLMS:])
+		}
+		expand_32(text, freq, bucket, sa, numLMS)
+	}
+	induceL_32(text, sa, freq, bucket)
+	induceS_32(text, sa, freq, bucket)
+
+	// Mark for caller that we overwrote tmp.
+	tmp[0] = -1
+}
+
+func sais_64(text []int64, textMax int, sa, tmp []int64) {
+	if len(sa) != len(text) || len(tmp) < int(textMax) {
+		panic("suffixarray: misuse of sais_64")
+	}
+
+	// Trivial base cases. Sorting 0 or 1 things is easy.
+	if len(text) == 0 {
+		return
+	}
+	if len(text) == 1 {
+		sa[0] = 0
+		return
+	}
+
+	// Establish slices indexed by text character
+	// holding character frequency and bucket-sort offsets.
+	// If there's only enough tmp for one slice,
+	// we make it the bucket offsets and recompute
+	// the character frequency each time we need it.
+	var freq, bucket []int64
+	if len(tmp) >= 2*textMax {
+		freq, bucket = tmp[:textMax], tmp[textMax:2*textMax]
+		freq[0] = -1 // mark as uninitialized
+	} else {
+		freq, bucket = nil, tmp[:textMax]
+	}
+
+	// The SAIS algorithm.
+	// Each of these calls makes one scan through sa.
+	// See the individual functions for documentation
+	// about each's role in the algorithm.
+	numLMS := placeLMS_64(text, sa, freq, bucket)
+	if numLMS <= 1 {
+		// 0 or 1 items are already sorted. Do nothing.
+	} else {
+		induceSubL_64(text, sa, freq, bucket)
+		induceSubS_64(text, sa, freq, bucket)
+		length_64(text, sa, numLMS)
+		maxID := assignID_64(text, sa, numLMS)
+		if maxID < numLMS {
+			map_64(sa, numLMS)
+			recurse_64(sa, tmp, numLMS, maxID)
+			unmap_64(text, sa, numLMS)
+		} else {
+			// If maxID == numLMS, then each LMS-substring
+			// is unique, so the relative ordering of two LMS-suffixes
+			// is determined by just the leading LMS-substring.
+			// That is, the LMS-suffix sort order matches the
+			// (simpler) LMS-substring sort order.
+			// Copy the original LMS-substring order into the
+			// suffix array destination.
+			copy(sa, sa[len(sa)-numLMS:])
+		}
+		expand_64(text, freq, bucket, sa, numLMS)
+	}
+	induceL_64(text, sa, freq, bucket)
+	induceS_64(text, sa, freq, bucket)
+
+	// Mark for caller that we overwrote tmp.
+	tmp[0] = -1
+}
+
+func freq_8_64(text []byte, freq, bucket []int64) []int64 {
+	if freq != nil && freq[0] >= 0 {
+		return freq // already computed
+	}
+	if freq == nil {
+		freq = bucket
+	}
+
+	freq = freq[:256] // eliminate bounds check for freq[c] below
+	for i := range freq {
+		freq[i] = 0
+	}
+	for _, c := range text {
+		freq[c]++
+	}
+	return freq
+}
+
+func freq_32(text []int32, freq, bucket []int32) []int32 {
+	if freq != nil && freq[0] >= 0 {
+		return freq // already computed
+	}
+	if freq == nil {
+		freq = bucket
+	}
+
+	for i := range freq {
+		freq[i] = 0
+	}
+	for _, c := range text {
+		freq[c]++
+	}
+	return freq
+}
+
+func freq_64(text []int64, freq, bucket []int64) []int64 {
+	if freq != nil && freq[0] >= 0 {
+		return freq // already computed
+	}
+	if freq == nil {
+		freq = bucket
+	}
+
+	for i := range freq {
+		freq[i] = 0
+	}
+	for _, c := range text {
+		freq[c]++
+	}
+	return freq
+}
+
+func bucketMin_8_64(text []byte, freq, bucket []int64) {
+	freq = freq_8_64(text, freq, bucket)
+	freq = freq[:256]     // establish len(freq) = 256, so 0 ≤ i < 256 below
+	bucket = bucket[:256] // eliminate bounds check for bucket[i] below
+	total := int64(0)
+	for i, n := range freq {
+		bucket[i] = total
+		total += n
+	}
+}
+
+func bucketMin_32(text []int32, freq, bucket []int32) {
+	freq = freq_32(text, freq, bucket)
+	total := int32(0)
+	for i, n := range freq {
+		bucket[i] = total
+		total += n
+	}
+}
+
+func bucketMin_64(text []int64, freq, bucket []int64) {
+	freq = freq_64(text, freq, bucket)
+	total := int64(0)
+	for i, n := range freq {
+		bucket[i] = total
+		total += n
+	}
+}
+
+func bucketMax_8_64(text []byte, freq, bucket []int64) {
+	freq = freq_8_64(text, freq, bucket)
+	freq = freq[:256]     // establish len(freq) = 256, so 0 ≤ i < 256 below
+	bucket = bucket[:256] // eliminate bounds check for bucket[i] below
+	total := int64(0)
+	for i, n := range freq {
+		total += n
+		bucket[i] = total
+	}
+}
+
+func bucketMax_32(text []int32, freq, bucket []int32) {
+	freq = freq_32(text, freq, bucket)
+	total := int32(0)
+	for i, n := range freq {
+		total += n
+		bucket[i] = total
+	}
+}
+
+func bucketMax_64(text []int64, freq, bucket []int64) {
+	freq = freq_64(text, freq, bucket)
+	total := int64(0)
+	for i, n := range freq {
+		total += n
+		bucket[i] = total
+	}
+}
+
+func placeLMS_8_64(text []byte, sa, freq, bucket []int64) int {
+	bucketMax_8_64(text, freq, bucket)
+
+	numLMS := 0
+	lastB := int64(-1)
+	bucket = bucket[:256] // eliminate bounds check for bucket[c1] below
+
+	// The next stanza of code (until the blank line) loop backward
+	// over text, stopping to execute a code body at each position i
+	// such that text[i] is an L-character and text[i+1] is an S-character.
+	// That is, i+1 is the position of the start of an LMS-substring.
+	// These could be hoisted out into a function with a callback,
+	// but at a significant speed cost. Instead, we just write these
+	// seven lines a few times in this source file. The copies below
+	// refer back to the pattern established by this original as the
+	// "LMS-substring iterator".
+	//
+	// In every scan through the text, c0, c1 are successive characters of text.
+	// In this backward scan, c0 == text[i] and c1 == text[i+1].
+	// By scanning backward, we can keep track of whether the current
+	// position is type-S or type-L according to the usual definition:
+	//
+	//	- position len(text) is type S with text[len(text)] == -1 (the sentinel)
+	//	- position i is type S if text[i] < text[i+1], or if text[i] == text[i+1] && i+1 is type S.
+	//	- position i is type L if text[i] > text[i+1], or if text[i] == text[i+1] && i+1 is type L.
+	//
+	// The backward scan lets us maintain the current type,
+	// update it when we see c0 != c1, and otherwise leave it alone.
+	// We want to identify all S positions with a preceding L.
+	// Position len(text) is one such position by definition, but we have
+	// nowhere to write it down, so we eliminate it by untruthfully
+	// setting isTypeS = false at the start of the loop.
+	c0, c1, isTypeS := byte(0), byte(0), false
+	for i := len(text) - 1; i >= 0; i-- {
+		c0, c1 = text[i], c0
+		if c0 < c1 {
+			isTypeS = true
+		} else if c0 > c1 && isTypeS {
+			isTypeS = false
+
+			// Bucket the index i+1 for the start of an LMS-substring.
+			b := bucket[c1] - 1
+			bucket[c1] = b
+			sa[b] = int64(i + 1)
+			lastB = b
+			numLMS++
+		}
+	}
+
+	// We recorded the LMS-substring starts but really want the ends.
+	// Luckily, with two differences, the start indexes and the end indexes are the same.
+	// The first difference is that the rightmost LMS-substring's end index is len(text),
+	// so the caller must pretend that sa[-1] == len(text), as noted above.
+	// The second difference is that the first leftmost LMS-substring start index
+	// does not end an earlier LMS-substring, so as an optimization we can omit
+	// that leftmost LMS-substring start index (the last one we wrote).
+	//
+	// Exception: if numLMS <= 1, the caller is not going to bother with
+	// the recursion at all and will treat the result as containing LMS-substring starts.
+	// In that case, we don't remove the final entry.
+	if numLMS > 1 {
+		sa[lastB] = 0
+	}
+	return numLMS
+}
+
+func placeLMS_32(text []int32, sa, freq, bucket []int32) int {
+	bucketMax_32(text, freq, bucket)
+
+	numLMS := 0
+	lastB := int32(-1)
+
+	// The next stanza of code (until the blank line) loop backward
+	// over text, stopping to execute a code body at each position i
+	// such that text[i] is an L-character and text[i+1] is an S-character.
+	// That is, i+1 is the position of the start of an LMS-substring.
+	// These could be hoisted out into a function with a callback,
+	// but at a significant speed cost. Instead, we just write these
+	// seven lines a few times in this source file. The copies below
+	// refer back to the pattern established by this original as the
+	// "LMS-substring iterator".
+	//
+	// In every scan through the text, c0, c1 are successive characters of text.
+	// In this backward scan, c0 == text[i] and c1 == text[i+1].
+	// By scanning backward, we can keep track of whether the current
+	// position is type-S or type-L according to the usual definition:
+	//
+	//	- position len(text) is type S with text[len(text)] == -1 (the sentinel)
+	//	- position i is type S if text[i] < text[i+1], or if text[i] == text[i+1] && i+1 is type S.
+	//	- position i is type L if text[i] > text[i+1], or if text[i] == text[i+1] && i+1 is type L.
+	//
+	// The backward scan lets us maintain the current type,
+	// update it when we see c0 != c1, and otherwise leave it alone.
+	// We want to identify all S positions with a preceding L.
+	// Position len(text) is one such position by definition, but we have
+	// nowhere to write it down, so we eliminate it by untruthfully
+	// setting isTypeS = false at the start of the loop.
+	c0, c1, isTypeS := int32(0), int32(0), false
+	for i := len(text) - 1; i >= 0; i-- {
+		c0, c1 = text[i], c0
+		if c0 < c1 {
+			isTypeS = true
+		} else if c0 > c1 && isTypeS {
+			isTypeS = false
+
+			// Bucket the index i+1 for the start of an LMS-substring.
+			b := bucket[c1] - 1
+			bucket[c1] = b
+			sa[b] = int32(i + 1)
+			lastB = b
+			numLMS++
+		}
+	}
+
+	// We recorded the LMS-substring starts but really want the ends.
+	// Luckily, with two differences, the start indexes and the end indexes are the same.
+	// The first difference is that the rightmost LMS-substring's end index is len(text),
+	// so the caller must pretend that sa[-1] == len(text), as noted above.
+	// The second difference is that the first leftmost LMS-substring start index
+	// does not end an earlier LMS-substring, so as an optimization we can omit
+	// that leftmost LMS-substring start index (the last one we wrote).
+	//
+	// Exception: if numLMS <= 1, the caller is not going to bother with
+	// the recursion at all and will treat the result as containing LMS-substring starts.
+	// In that case, we don't remove the final entry.
+	if numLMS > 1 {
+		sa[lastB] = 0
+	}
+	return numLMS
+}
+
+func placeLMS_64(text []int64, sa, freq, bucket []int64) int {
+	bucketMax_64(text, freq, bucket)
+
+	numLMS := 0
+	lastB := int64(-1)
+
+	// The next stanza of code (until the blank line) loop backward
+	// over text, stopping to execute a code body at each position i
+	// such that text[i] is an L-character and text[i+1] is an S-character.
+	// That is, i+1 is the position of the start of an LMS-substring.
+	// These could be hoisted out into a function with a callback,
+	// but at a significant speed cost. Instead, we just write these
+	// seven lines a few times in this source file. The copies below
+	// refer back to the pattern established by this original as the
+	// "LMS-substring iterator".
+	//
+	// In every scan through the text, c0, c1 are successive characters of text.
+	// In this backward scan, c0 == text[i] and c1 == text[i+1].
+	// By scanning backward, we can keep track of whether the current
+	// position is type-S or type-L according to the usual definition:
+	//
+	//	- position len(text) is type S with text[len(text)] == -1 (the sentinel)
+	//	- position i is type S if text[i] < text[i+1], or if text[i] == text[i+1] && i+1 is type S.
+	//	- position i is type L if text[i] > text[i+1], or if text[i] == text[i+1] && i+1 is type L.
+	//
+	// The backward scan lets us maintain the current type,
+	// update it when we see c0 != c1, and otherwise leave it alone.
+	// We want to identify all S positions with a preceding L.
+	// Position len(text) is one such position by definition, but we have
+	// nowhere to write it down, so we eliminate it by untruthfully
+	// setting isTypeS = false at the start of the loop.
+	c0, c1, isTypeS := int64(0), int64(0), false
+	for i := len(text) - 1; i >= 0; i-- {
+		c0, c1 = text[i], c0
+		if c0 < c1 {
+			isTypeS = true
+		} else if c0 > c1 && isTypeS {
+			isTypeS = false
+
+			// Bucket the index i+1 for the start of an LMS-substring.
+			b := bucket[c1] - 1
+			bucket[c1] = b
+			sa[b] = int64(i + 1)
+			lastB = b
+			numLMS++
+		}
+	}
+
+	// We recorded the LMS-substring starts but really want the ends.
+	// Luckily, with two differences, the start indexes and the end indexes are the same.
+	// The first difference is that the rightmost LMS-substring's end index is len(text),
+	// so the caller must pretend that sa[-1] == len(text), as noted above.
+	// The second difference is that the first leftmost LMS-substring start index
+	// does not end an earlier LMS-substring, so as an optimization we can omit
+	// that leftmost LMS-substring start index (the last one we wrote).
+	//
+	// Exception: if numLMS <= 1, the caller is not going to bother with
+	// the recursion at all and will treat the result as containing LMS-substring starts.
+	// In that case, we don't remove the final entry.
+	if numLMS > 1 {
+		sa[lastB] = 0
+	}
+	return numLMS
+}
+
+func induceSubL_8_64(text []byte, sa, freq, bucket []int64) {
+	// Initialize positions for left side of character buckets.
+	bucketMin_8_64(text, freq, bucket)
+	bucket = bucket[:256] // eliminate bounds check for bucket[cB] below
+
+	// As we scan the array left-to-right, each sa[i] = j > 0 is a correctly
+	// sorted suffix array entry (for text[j:]) for which we know that j-1 is type L.
+	// Because j-1 is type L, inserting it into sa now will sort it correctly.
+	// But we want to distinguish a j-1 with j-2 of type L from type S.
+	// We can process the former but want to leave the latter for the caller.
+	// We record the difference by negating j-1 if it is preceded by type S.
+	// Either way, the insertion (into the text[j-1] bucket) is guaranteed to
+	// happen at sa[i´] for some i´ > i, that is, in the portion of sa we have
+	// yet to scan. A single pass therefore sees indexes j, j-1, j-2, j-3,
+	// and so on, in sorted but not necessarily adjacent order, until it finds
+	// one preceded by an index of type S, at which point it must stop.
+	//
+	// As we scan through the array, we clear the worked entries (sa[i] > 0) to zero,
+	// and we flip sa[i] < 0 to -sa[i], so that the loop finishes with sa containing
+	// only the indexes of the leftmost L-type indexes for each LMS-substring.
+	//
+	// The suffix array sa therefore serves simultaneously as input, output,
+	// and a miraculously well-tailored work queue.
+
+	// placeLMS_8_64 left out the implicit entry sa[-1] == len(text),
+	// corresponding to the identified type-L index len(text)-1.
+	// Process it before the left-to-right scan of sa proper.
+	// See body in loop for commentary.
+	k := len(text) - 1
+	c0, c1 := text[k-1], text[k]
+	if c0 < c1 {
+		k = -k
+	}
+
+	// Cache recently used bucket index:
+	// we're processing suffixes in sorted order
+	// and accessing buckets indexed by the
+	// byte before the sorted order, which still
+	// has very good locality.
+	// Invariant: b is cached, possibly dirty copy of bucket[cB].
+	cB := c1
+	b := bucket[cB]
+	sa[b] = int64(k)
+	b++
+
+	for i := 0; i < len(sa); i++ {
+		j := int(sa[i])
+		if j == 0 {
+			// Skip empty entry.
+			continue
+		}
+		if j < 0 {
+			// Leave discovered type-S index for caller.
+			sa[i] = int64(-j)
+			continue
+		}
+		sa[i] = 0
+
+		// Index j was on work queue, meaning k := j-1 is L-type,
+		// so we can now place k correctly into sa.
+		// If k-1 is L-type, queue k for processing later in this loop.
+		// If k-1 is S-type (text[k-1] < text[k]), queue -k to save for the caller.
+		k := j - 1
+		c0, c1 := text[k-1], text[k]
+		if c0 < c1 {
+			k = -k
+		}
+
+		if cB != c1 {
+			bucket[cB] = b
+			cB = c1
+			b = bucket[cB]
+		}
+		sa[b] = int64(k)
+		b++
+	}
+}
+
+func induceSubL_32(text []int32, sa, freq, bucket []int32) {
+	// Initialize positions for left side of character buckets.
+	bucketMin_32(text, freq, bucket)
+
+	// As we scan the array left-to-right, each sa[i] = j > 0 is a correctly
+	// sorted suffix array entry (for text[j:]) for which we know that j-1 is type L.
+	// Because j-1 is type L, inserting it into sa now will sort it correctly.
+	// But we want to distinguish a j-1 with j-2 of type L from type S.
+	// We can process the former but want to leave the latter for the caller.
+	// We record the difference by negating j-1 if it is preceded by type S.
+	// Either way, the insertion (into the text[j-1] bucket) is guaranteed to
+	// happen at sa[i´] for some i´ > i, that is, in the portion of sa we have
+	// yet to scan. A single pass therefore sees indexes j, j-1, j-2, j-3,
+	// and so on, in sorted but not necessarily adjacent order, until it finds
+	// one preceded by an index of type S, at which point it must stop.
+	//
+	// As we scan through the array, we clear the worked entries (sa[i] > 0) to zero,
+	// and we flip sa[i] < 0 to -sa[i], so that the loop finishes with sa containing
+	// only the indexes of the leftmost L-type indexes for each LMS-substring.
+	//
+	// The suffix array sa therefore serves simultaneously as input, output,
+	// and a miraculously well-tailored work queue.
+
+	// placeLMS_32 left out the implicit entry sa[-1] == len(text),
+	// corresponding to the identified type-L index len(text)-1.
+	// Process it before the left-to-right scan of sa proper.
+	// See body in loop for commentary.
+	k := len(text) - 1
+	c0, c1 := text[k-1], text[k]
+	if c0 < c1 {
+		k = -k
+	}
+
+	// Cache recently used bucket index:
+	// we're processing suffixes in sorted order
+	// and accessing buckets indexed by the
+	// int32 before the sorted order, which still
+	// has very good locality.
+	// Invariant: b is cached, possibly dirty copy of bucket[cB].
+	cB := c1
+	b := bucket[cB]
+	sa[b] = int32(k)
+	b++
+
+	for i := 0; i < len(sa); i++ {
+		j := int(sa[i])
+		if j == 0 {
+			// Skip empty entry.
+			continue
+		}
+		if j < 0 {
+			// Leave discovered type-S index for caller.
+			sa[i] = int32(-j)
+			continue
+		}
+		sa[i] = 0
+
+		// Index j was on work queue, meaning k := j-1 is L-type,
+		// so we can now place k correctly into sa.
+		// If k-1 is L-type, queue k for processing later in this loop.
+		// If k-1 is S-type (text[k-1] < text[k]), queue -k to save for the caller.
+		k := j - 1
+		c0, c1 := text[k-1], text[k]
+		if c0 < c1 {
+			k = -k
+		}
+
+		if cB != c1 {
+			bucket[cB] = b
+			cB = c1
+			b = bucket[cB]
+		}
+		sa[b] = int32(k)
+		b++
+	}
+}
+
+func induceSubL_64(text []int64, sa, freq, bucket []int64) {
+	// Initialize positions for left side of character buckets.
+	bucketMin_64(text, freq, bucket)
+
+	// As we scan the array left-to-right, each sa[i] = j > 0 is a correctly
+	// sorted suffix array entry (for text[j:]) for which we know that j-1 is type L.
+	// Because j-1 is type L, inserting it into sa now will sort it correctly.
+	// But we want to distinguish a j-1 with j-2 of type L from type S.
+	// We can process the former but want to leave the latter for the caller.
+	// We record the difference by negating j-1 if it is preceded by type S.
+	// Either way, the insertion (into the text[j-1] bucket) is guaranteed to
+	// happen at sa[i´] for some i´ > i, that is, in the portion of sa we have
+	// yet to scan. A single pass therefore sees indexes j, j-1, j-2, j-3,
+	// and so on, in sorted but not necessarily adjacent order, until it finds
+	// one preceded by an index of type S, at which point it must stop.
+	//
+	// As we scan through the array, we clear the worked entries (sa[i] > 0) to zero,
+	// and we flip sa[i] < 0 to -sa[i], so that the loop finishes with sa containing
+	// only the indexes of the leftmost L-type indexes for each LMS-substring.
+	//
+	// The suffix array sa therefore serves simultaneously as input, output,
+	// and a miraculously well-tailored work queue.
+
+	// placeLMS_64 left out the implicit entry sa[-1] == len(text),
+	// corresponding to the identified type-L index len(text)-1.
+	// Process it before the left-to-right scan of sa proper.
+	// See body in loop for commentary.
+	k := len(text) - 1
+	c0, c1 := text[k-1], text[k]
+	if c0 < c1 {
+		k = -k
+	}
+
+	// Cache recently used bucket index:
+	// we're processing suffixes in sorted order
+	// and accessing buckets indexed by the
+	// int64 before the sorted order, which still
+	// has very good locality.
+	// Invariant: b is cached, possibly dirty copy of bucket[cB].
+	cB := c1
+	b := bucket[cB]
+	sa[b] = int64(k)
+	b++
+
+	for i := 0; i < len(sa); i++ {
+		j := int(sa[i])
+		if j == 0 {
+			// Skip empty entry.
+			continue
+		}
+		if j < 0 {
+			// Leave discovered type-S index for caller.
+			sa[i] = int64(-j)
+			continue
+		}
+		sa[i] = 0
+
+		// Index j was on work queue, meaning k := j-1 is L-type,
+		// so we can now place k correctly into sa.
+		// If k-1 is L-type, queue k for processing later in this loop.
+		// If k-1 is S-type (text[k-1] < text[k]), queue -k to save for the caller.
+		k := j - 1
+		c0, c1 := text[k-1], text[k]
+		if c0 < c1 {
+			k = -k
+		}
+
+		if cB != c1 {
+			bucket[cB] = b
+			cB = c1
+			b = bucket[cB]
+		}
+		sa[b] = int64(k)
+		b++
+	}
+}
+
+func induceSubS_8_64(text []byte, sa, freq, bucket []int64) {
+	// Initialize positions for right side of character buckets.
+	bucketMax_8_64(text, freq, bucket)
+	bucket = bucket[:256] // eliminate bounds check for bucket[cB] below
+
+	// Analogous to induceSubL_8_64 above,
+	// as we scan the array right-to-left, each sa[i] = j > 0 is a correctly
+	// sorted suffix array entry (for text[j:]) for which we know that j-1 is type S.
+	// Because j-1 is type S, inserting it into sa now will sort it correctly.
+	// But we want to distinguish a j-1 with j-2 of type S from type L.
+	// We can process the former but want to leave the latter for the caller.
+	// We record the difference by negating j-1 if it is preceded by type L.
+	// Either way, the insertion (into the text[j-1] bucket) is guaranteed to
+	// happen at sa[i´] for some i´ < i, that is, in the portion of sa we have
+	// yet to scan. A single pass therefore sees indexes j, j-1, j-2, j-3,
+	// and so on, in sorted but not necessarily adjacent order, until it finds
+	// one preceded by an index of type L, at which point it must stop.
+	// That index (preceded by one of type L) is an LMS-substring start.
+	//
+	// As we scan through the array, we clear the worked entries (sa[i] > 0) to zero,
+	// and we flip sa[i] < 0 to -sa[i] and compact into the top of sa,
+	// so that the loop finishes with the top of sa containing exactly
+	// the LMS-substring start indexes, sorted by LMS-substring.
+
+	// Cache recently used bucket index:
+	cB := byte(0)
+	b := bucket[cB]
+
+	top := len(sa)
+	for i := len(sa) - 1; i >= 0; i-- {
+		j := int(sa[i])
+		if j == 0 {
+			// Skip empty entry.
+			continue
+		}
+		sa[i] = 0
+		if j < 0 {
+			// Leave discovered LMS-substring start index for caller.
+			top--
+			sa[top] = int64(-j)
+			continue
+		}
+
+		// Index j was on work queue, meaning k := j-1 is S-type,
+		// so we can now place k correctly into sa.
+		// If k-1 is S-type, queue k for processing later in this loop.
+		// If k-1 is L-type (text[k-1] > text[k]), queue -k to save for the caller.
+		k := j - 1
+		c1 := text[k]
+		c0 := text[k-1]
+		if c0 > c1 {
+			k = -k
+		}
+
+		if cB != c1 {
+			bucket[cB] = b
+			cB = c1
+			b = bucket[cB]
+		}
+		b--
+		sa[b] = int64(k)
+	}
+}
+
+func induceSubS_32(text []int32, sa, freq, bucket []int32) {
+	// Initialize positions for right side of character buckets.
+	bucketMax_32(text, freq, bucket)
+
+	// Analogous to induceSubL_32 above,
+	// as we scan the array right-to-left, each sa[i] = j > 0 is a correctly
+	// sorted suffix array entry (for text[j:]) for which we know that j-1 is type S.
+	// Because j-1 is type S, inserting it into sa now will sort it correctly.
+	// But we want to distinguish a j-1 with j-2 of type S from type L.
+	// We can process the former but want to leave the latter for the caller.
+	// We record the difference by negating j-1 if it is preceded by type L.
+	// Either way, the insertion (into the text[j-1] bucket) is guaranteed to
+	// happen at sa[i´] for some i´ < i, that is, in the portion of sa we have
+	// yet to scan. A single pass therefore sees indexes j, j-1, j-2, j-3,
+	// and so on, in sorted but not necessarily adjacent order, until it finds
+	// one preceded by an index of type L, at which point it must stop.
+	// That index (preceded by one of type L) is an LMS-substring start.
+	//
+	// As we scan through the array, we clear the worked entries (sa[i] > 0) to zero,
+	// and we flip sa[i] < 0 to -sa[i] and compact into the top of sa,
+	// so that the loop finishes with the top of sa containing exactly
+	// the LMS-substring start indexes, sorted by LMS-substring.
+
+	// Cache recently used bucket index:
+	cB := int32(0)
+	b := bucket[cB]
+
+	top := len(sa)
+	for i := len(sa) - 1; i >= 0; i-- {
+		j := int(sa[i])
+		if j == 0 {
+			// Skip empty entry.
+			continue
+		}
+		sa[i] = 0
+		if j < 0 {
+			// Leave discovered LMS-substring start index for caller.
+			top--
+			sa[top] = int32(-j)
+			continue
+		}
+
+		// Index j was on work queue, meaning k := j-1 is S-type,
+		// so we can now place k correctly into sa.
+		// If k-1 is S-type, queue k for processing later in this loop.
+		// If k-1 is L-type (text[k-1] > text[k]), queue -k to save for the caller.
+		k := j - 1
+		c1 := text[k]
+		c0 := text[k-1]
+		if c0 > c1 {
+			k = -k
+		}
+
+		if cB != c1 {
+			bucket[cB] = b
+			cB = c1
+			b = bucket[cB]
+		}
+		b--
+		sa[b] = int32(k)
+	}
+}
+
+func induceSubS_64(text []int64, sa, freq, bucket []int64) {
+	// Initialize positions for right side of character buckets.
+	bucketMax_64(text, freq, bucket)
+
+	// Analogous to induceSubL_64 above,
+	// as we scan the array right-to-left, each sa[i] = j > 0 is a correctly
+	// sorted suffix array entry (for text[j:]) for which we know that j-1 is type S.
+	// Because j-1 is type S, inserting it into sa now will sort it correctly.
+	// But we want to distinguish a j-1 with j-2 of type S from type L.
+	// We can process the former but want to leave the latter for the caller.
+	// We record the difference by negating j-1 if it is preceded by type L.
+	// Either way, the insertion (into the text[j-1] bucket) is guaranteed to
+	// happen at sa[i´] for some i´ < i, that is, in the portion of sa we have
+	// yet to scan. A single pass therefore sees indexes j, j-1, j-2, j-3,
+	// and so on, in sorted but not necessarily adjacent order, until it finds
+	// one preceded by an index of type L, at which point it must stop.
+	// That index (preceded by one of type L) is an LMS-substring start.
+	//
+	// As we scan through the array, we clear the worked entries (sa[i] > 0) to zero,
+	// and we flip sa[i] < 0 to -sa[i] and compact into the top of sa,
+	// so that the loop finishes with the top of sa containing exactly
+	// the LMS-substring start indexes, sorted by LMS-substring.
+
+	// Cache recently used bucket index:
+	cB := int64(0)
+	b := bucket[cB]
+
+	top := len(sa)
+	for i := len(sa) - 1; i >= 0; i-- {
+		j := int(sa[i])
+		if j == 0 {
+			// Skip empty entry.
+			continue
+		}
+		sa[i] = 0
+		if j < 0 {
+			// Leave discovered LMS-substring start index for caller.
+			top--
+			sa[top] = int64(-j)
+			continue
+		}
+
+		// Index j was on work queue, meaning k := j-1 is S-type,
+		// so we can now place k correctly into sa.
+		// If k-1 is S-type, queue k for processing later in this loop.
+		// If k-1 is L-type (text[k-1] > text[k]), queue -k to save for the caller.
+		k := j - 1
+		c1 := text[k]
+		c0 := text[k-1]
+		if c0 > c1 {
+			k = -k
+		}
+
+		if cB != c1 {
+			bucket[cB] = b
+			cB = c1
+			b = bucket[cB]
+		}
+		b--
+		sa[b] = int64(k)
+	}
+}
+
+func length_8_64(text []byte, sa []int64, numLMS int) {
+	end := 0 // index of current LMS-substring end (0 indicates final LMS-substring)
+
+	// The encoding of N text bytes into a “length” word
+	// adds 1 to each byte, packs them into the bottom
+	// N*8 bits of a word, and then bitwise inverts the result.
+	// That is, the text sequence A B C (hex 41 42 43)
+	// encodes as ^uint64(0x42_43_44).
+	// LMS-substrings can never start or end with 0xFF.
+	// Adding 1 ensures the encoded byte sequence never
+	// starts or ends with 0x00, so that present bytes can be
+	// distinguished from zero-padding in the top bits,
+	// so the length need not be separately encoded.
+	// Inverting the bytes increases the chance that a
+	// 4-byte encoding will still be ≥ len(text).
+	// In particular, if the first byte is ASCII (<= 0x7E, so +1 <= 0x7F)
+	// then the high bit of the inversion will be set,
+	// making it clearly not a valid length (it would be a negative one).
+	//
+	// cx holds the pre-inverted encoding (the packed incremented bytes).
+	cx := uint64(0) // byte-only
+
+	// This stanza (until the blank line) is the "LMS-substring iterator",
+	// described in placeLMS_8_64 above, with one line added to maintain cx.
+	c0, c1, isTypeS := byte(0), byte(0), false
+	for i := len(text) - 1; i >= 0; i-- {
+		c0, c1 = text[i], c0
+		cx = cx<<8 | uint64(c1+1) // byte-only
+		if c0 < c1 {
+			isTypeS = true
+		} else if c0 > c1 && isTypeS {
+			isTypeS = false
+
+			// Index j = i+1 is the start of an LMS-substring.
+			// Compute length or encoded text to store in sa[j/2].
+			j := i + 1
+			var code int64
+			if end == 0 {
+				code = 0
+			} else {
+				code = int64(end - j)
+				if code <= 64/8 && ^cx >= uint64(len(text)) { // byte-only
+					code = int64(^cx) // byte-only
+				} // byte-only
+			}
+			sa[j>>1] = code
+			end = j + 1
+			cx = uint64(c1 + 1) // byte-only
+		}
+	}
+}
+
+func length_32(text []int32, sa []int32, numLMS int) {
+	end := 0 // index of current LMS-substring end (0 indicates final LMS-substring)
+
+	// The encoding of N text int32s into a “length” word
+	// adds 1 to each int32, packs them into the bottom
+	// N*8 bits of a word, and then bitwise inverts the result.
+	// That is, the text sequence A B C (hex 41 42 43)
+	// encodes as ^uint32(0x42_43_44).
+	// LMS-substrings can never start or end with 0xFF.
+	// Adding 1 ensures the encoded int32 sequence never
+	// starts or ends with 0x00, so that present int32s can be
+	// distinguished from zero-padding in the top bits,
+	// so the length need not be separately encoded.
+	// Inverting the int32s increases the chance that a
+	// 4-int32 encoding will still be ≥ len(text).
+	// In particular, if the first int32 is ASCII (<= 0x7E, so +1 <= 0x7F)
+	// then the high bit of the inversion will be set,
+	// making it clearly not a valid length (it would be a negative one).
+	//
+	// cx holds the pre-inverted encoding (the packed incremented int32s).
+
+	// This stanza (until the blank line) is the "LMS-substring iterator",
+	// described in placeLMS_32 above, with one line added to maintain cx.
+	c0, c1, isTypeS := int32(0), int32(0), false
+	for i := len(text) - 1; i >= 0; i-- {
+		c0, c1 = text[i], c0
+		if c0 < c1 {
+			isTypeS = true
+		} else if c0 > c1 && isTypeS {
+			isTypeS = false
+
+			// Index j = i+1 is the start of an LMS-substring.
+			// Compute length or encoded text to store in sa[j/2].
+			j := i + 1
+			var code int32
+			if end == 0 {
+				code = 0
+			} else {
+				code = int32(end - j)
+			}
+			sa[j>>1] = code
+			end = j + 1
+		}
+	}
+}
+
+func length_64(text []int64, sa []int64, numLMS int) {
+	end := 0 // index of current LMS-substring end (0 indicates final LMS-substring)
+
+	// The encoding of N text int64s into a “length” word
+	// adds 1 to each int64, packs them into the bottom
+	// N*8 bits of a word, and then bitwise inverts the result.
+	// That is, the text sequence A B C (hex 41 42 43)
+	// encodes as ^uint64(0x42_43_44).
+	// LMS-substrings can never start or end with 0xFF.
+	// Adding 1 ensures the encoded int64 sequence never
+	// starts or ends with 0x00, so that present int64s can be
+	// distinguished from zero-padding in the top bits,
+	// so the length need not be separately encoded.
+	// Inverting the int64s increases the chance that a
+	// 4-int64 encoding will still be ≥ len(text).
+	// In particular, if the first int64 is ASCII (<= 0x7E, so +1 <= 0x7F)
+	// then the high bit of the inversion will be set,
+	// making it clearly not a valid length (it would be a negative one).
+	//
+	// cx holds the pre-inverted encoding (the packed incremented int64s).
+
+	// This stanza (until the blank line) is the "LMS-substring iterator",
+	// described in placeLMS_64 above, with one line added to maintain cx.
+	c0, c1, isTypeS := int64(0), int64(0), false
+	for i := len(text) - 1; i >= 0; i-- {
+		c0, c1 = text[i], c0
+		if c0 < c1 {
+			isTypeS = true
+		} else if c0 > c1 && isTypeS {
+			isTypeS = false
+
+			// Index j = i+1 is the start of an LMS-substring.
+			// Compute length or encoded text to store in sa[j/2].
+			j := i + 1
+			var code int64
+			if end == 0 {
+				code = 0
+			} else {
+				code = int64(end - j)
+			}
+			sa[j>>1] = code
+			end = j + 1
+		}
+	}
+}
+
+func assignID_8_64(text []byte, sa []int64, numLMS int) int {
+	id := 0
+	lastLen := int64(-1) // impossible
+	lastPos := int64(0)
+	for _, j := range sa[len(sa)-numLMS:] {
+		// Is the LMS-substring at index j new, or is it the same as the last one we saw?
+		n := sa[j/2]
+		if n != lastLen {
+			goto New
+		}
+		if uint64(n) >= uint64(len(text)) {
+			// “Length” is really encoded full text, and they match.
+			goto Same
+		}
+		{
+			// Compare actual texts.
+			n := int(n)
+			this := text[j:][:n]
+			last := text[lastPos:][:n]
+			for i := 0; i < n; i++ {
+				if this[i] != last[i] {
+					goto New
+				}
+			}
+			goto Same
+		}
+	New:
+		id++
+		lastPos = j
+		lastLen = n
+	Same:
+		sa[j/2] = int64(id)
+	}
+	return id
+}
+
+func assignID_32(text []int32, sa []int32, numLMS int) int {
+	id := 0
+	lastLen := int32(-1) // impossible
+	lastPos := int32(0)
+	for _, j := range sa[len(sa)-numLMS:] {
+		// Is the LMS-substring at index j new, or is it the same as the last one we saw?
+		n := sa[j/2]
+		if n != lastLen {
+			goto New
+		}
+		if uint32(n) >= uint32(len(text)) {
+			// “Length” is really encoded full text, and they match.
+			goto Same
+		}
+		{
+			// Compare actual texts.
+			n := int(n)
+			this := text[j:][:n]
+			last := text[lastPos:][:n]
+			for i := 0; i < n; i++ {
+				if this[i] != last[i] {
+					goto New
+				}
+			}
+			goto Same
+		}
+	New:
+		id++
+		lastPos = j
+		lastLen = n
+	Same:
+		sa[j/2] = int32(id)
+	}
+	return id
+}
+
+func assignID_64(text []int64, sa []int64, numLMS int) int {
+	id := 0
+	lastLen := int64(-1) // impossible
+	lastPos := int64(0)
+	for _, j := range sa[len(sa)-numLMS:] {
+		// Is the LMS-substring at index j new, or is it the same as the last one we saw?
+		n := sa[j/2]
+		if n != lastLen {
+			goto New
+		}
+		if uint64(n) >= uint64(len(text)) {
+			// “Length” is really encoded full text, and they match.
+			goto Same
+		}
+		{
+			// Compare actual texts.
+			n := int(n)
+			this := text[j:][:n]
+			last := text[lastPos:][:n]
+			for i := 0; i < n; i++ {
+				if this[i] != last[i] {
+					goto New
+				}
+			}
+			goto Same
+		}
+	New:
+		id++
+		lastPos = j
+		lastLen = n
+	Same:
+		sa[j/2] = int64(id)
+	}
+	return id
+}
+
+func map_64(sa []int64, numLMS int) {
+	w := len(sa)
+	for i := len(sa) / 2; i >= 0; i-- {
+		j := sa[i]
+		if j > 0 {
+			w--
+			sa[w] = j - 1
+		}
+	}
+}
+
+func recurse_64(sa, oldTmp []int64, numLMS, maxID int) {
+	dst, saTmp, text := sa[:numLMS], sa[numLMS:len(sa)-numLMS], sa[len(sa)-numLMS:]
+
+	// Set up temporary space for recursive call.
+	// We must pass sais_64 a tmp buffer with at least maxID entries.
+	//
+	// The subproblem is guaranteed to have length at most len(sa)/2,
+	// so that sa can hold both the subproblem and its suffix array.
+	// Nearly all the time, however, the subproblem has length < len(sa)/3,
+	// in which case there is a subproblem-sized middle of sa that
+	// we can reuse for temporary space (saTmp).
+	// When recurse_64 is called from sais_8_64, oldTmp is length 512
+	// (from text_64), and saTmp will typically be much larger, so we'll use saTmp.
+	// When deeper recursions come back to recurse_64, now oldTmp is
+	// the saTmp from the top-most recursion, it is typically larger than
+	// the current saTmp (because the current sa gets smaller and smaller
+	// as the recursion gets deeper), and we keep reusing that top-most
+	// large saTmp instead of the offered smaller ones.
+	//
+	// Why is the subproblem length so often just under len(sa)/3?
+	// See Nong, Zhang, and Chen, section 3.6 for a plausible explanation.
+	// In brief, the len(sa)/2 case would correspond to an SLSLSLSLSLSL pattern
+	// in the input, perfect alternation of larger and smaller input bytes.
+	// Real text doesn't do that. If each L-type index is randomly followed
+	// by either an L-type or S-type index, then half the substrings will
+	// be of the form SLS, but the other half will be longer. Of that half,
+	// half (a quarter overall) will be SLLS; an eighth will be SLLLS, and so on.
+	// Not counting the final S in each (which overlaps the first S in the next),
+	// This works out to an average length 2×½ + 3×¼ + 4×⅛ + ... = 3.
+	// The space we need is further reduced by the fact that many of the
+	// short patterns like SLS will often be the same character sequences
+	// repeated throughout the text, reducing maxID relative to numLMS.
+	//
+	// For short inputs, the averages may not run in our favor, but then we
+	// can often fall back to using the length-512 tmp available in the
+	// top-most call. (Also a short allocation would not be a big deal.)
+	//
+	// For pathological inputs, we fall back to allocating a new tmp of length
+	// max(maxID, numLMS/2). This level of the recursion needs maxID,
+	// and all deeper levels of the recursion will need no more than numLMS/2,
+	// so this one allocation is guaranteed to suffice for the entire stack
+	// of recursive calls.
+	tmp := oldTmp
+	if len(tmp) < len(saTmp) {
+		tmp = saTmp
+	}
+	if len(tmp) < numLMS {
+		// TestSAIS/forcealloc reaches this code.
+		n := maxID
+		if n < numLMS/2 {
+			n = numLMS / 2
+		}
+		tmp = make([]int64, n)
+	}
+
+	// sais_64 requires that the caller arrange to clear dst,
+	// because in general the caller may know dst is
+	// freshly-allocated and already cleared. But this one is not.
+	for i := range dst {
+		dst[i] = 0
+	}
+	sais_64(text, maxID, dst, tmp)
+}
+
+func unmap_8_64(text []byte, sa []int64, numLMS int) {
+	unmap := sa[len(sa)-numLMS:]
+	j := len(unmap)
+
+	// "LMS-substring iterator" (see placeLMS_8_64 above).
+	c0, c1, isTypeS := byte(0), byte(0), false
+	for i := len(text) - 1; i >= 0; i-- {
+		c0, c1 = text[i], c0
+		if c0 < c1 {
+			isTypeS = true
+		} else if c0 > c1 && isTypeS {
+			isTypeS = false
+
+			// Populate inverse map.
+			j--
+			unmap[j] = int64(i + 1)
+		}
+	}
+
+	// Apply inverse map to subproblem suffix array.
+	sa = sa[:numLMS]
+	for i := 0; i < len(sa); i++ {
+		sa[i] = unmap[sa[i]]
+	}
+}
+
+func unmap_32(text []int32, sa []int32, numLMS int) {
+	unmap := sa[len(sa)-numLMS:]
+	j := len(unmap)
+
+	// "LMS-substring iterator" (see placeLMS_32 above).
+	c0, c1, isTypeS := int32(0), int32(0), false
+	for i := len(text) - 1; i >= 0; i-- {
+		c0, c1 = text[i], c0
+		if c0 < c1 {
+			isTypeS = true
+		} else if c0 > c1 && isTypeS {
+			isTypeS = false
+
+			// Populate inverse map.
+			j--
+			unmap[j] = int32(i + 1)
+		}
+	}
+
+	// Apply inverse map to subproblem suffix array.
+	sa = sa[:numLMS]
+	for i := 0; i < len(sa); i++ {
+		sa[i] = unmap[sa[i]]
+	}
+}
+
+func unmap_64(text []int64, sa []int64, numLMS int) {
+	unmap := sa[len(sa)-numLMS:]
+	j := len(unmap)
+
+	// "LMS-substring iterator" (see placeLMS_64 above).
+	c0, c1, isTypeS := int64(0), int64(0), false
+	for i := len(text) - 1; i >= 0; i-- {
+		c0, c1 = text[i], c0
+		if c0 < c1 {
+			isTypeS = true
+		} else if c0 > c1 && isTypeS {
+			isTypeS = false
+
+			// Populate inverse map.
+			j--
+			unmap[j] = int64(i + 1)
+		}
+	}
+
+	// Apply inverse map to subproblem suffix array.
+	sa = sa[:numLMS]
+	for i := 0; i < len(sa); i++ {
+		sa[i] = unmap[sa[i]]
+	}
+}
+
+func expand_8_64(text []byte, freq, bucket, sa []int64, numLMS int) {
+	bucketMax_8_64(text, freq, bucket)
+	bucket = bucket[:256] // eliminate bound check for bucket[c] below
+
+	// Loop backward through sa, always tracking
+	// the next index to populate from sa[:numLMS].
+	// When we get to one, populate it.
+	// Zero the rest of the slots; they have dead values in them.
+	x := numLMS - 1
+	saX := sa[x]
+	c := text[saX]
+	b := bucket[c] - 1
+	bucket[c] = b
+
+	for i := len(sa) - 1; i >= 0; i-- {
+		if i != int(b) {
+			sa[i] = 0
+			continue
+		}
+		sa[i] = saX
+
+		// Load next entry to put down (if any).
+		if x > 0 {
+			x--
+			saX = sa[x] // TODO bounds check
+			c = text[saX]
+			b = bucket[c] - 1
+			bucket[c] = b
+		}
+	}
+}
+
+func expand_32(text []int32, freq, bucket, sa []int32, numLMS int) {
+	bucketMax_32(text, freq, bucket)
+
+	// Loop backward through sa, always tracking
+	// the next index to populate from sa[:numLMS].
+	// When we get to one, populate it.
+	// Zero the rest of the slots; they have dead values in them.
+	x := numLMS - 1
+	saX := sa[x]
+	c := text[saX]
+	b := bucket[c] - 1
+	bucket[c] = b
+
+	for i := len(sa) - 1; i >= 0; i-- {
+		if i != int(b) {
+			sa[i] = 0
+			continue
+		}
+		sa[i] = saX
+
+		// Load next entry to put down (if any).
+		if x > 0 {
+			x--
+			saX = sa[x] // TODO bounds check
+			c = text[saX]
+			b = bucket[c] - 1
+			bucket[c] = b
+		}
+	}
+}
+
+func expand_64(text []int64, freq, bucket, sa []int64, numLMS int) {
+	bucketMax_64(text, freq, bucket)
+
+	// Loop backward through sa, always tracking
+	// the next index to populate from sa[:numLMS].
+	// When we get to one, populate it.
+	// Zero the rest of the slots; they have dead values in them.
+	x := numLMS - 1
+	saX := sa[x]
+	c := text[saX]
+	b := bucket[c] - 1
+	bucket[c] = b
+
+	for i := len(sa) - 1; i >= 0; i-- {
+		if i != int(b) {
+			sa[i] = 0
+			continue
+		}
+		sa[i] = saX
+
+		// Load next entry to put down (if any).
+		if x > 0 {
+			x--
+			saX = sa[x] // TODO bounds check
+			c = text[saX]
+			b = bucket[c] - 1
+			bucket[c] = b
+		}
+	}
+}
+
+func induceL_8_64(text []byte, sa, freq, bucket []int64) {
+	// Initialize positions for left side of character buckets.
+	bucketMin_8_64(text, freq, bucket)
+	bucket = bucket[:256] // eliminate bounds check for bucket[cB] below
+
+	// This scan is similar to the one in induceSubL_8_64 above.
+	// That one arranges to clear all but the leftmost L-type indexes.
+	// This scan leaves all the L-type indexes and the original S-type
+	// indexes, but it negates the positive leftmost L-type indexes
+	// (the ones that induceS_8_64 needs to process).
+
+	// expand_8_64 left out the implicit entry sa[-1] == len(text),
+	// corresponding to the identified type-L index len(text)-1.
+	// Process it before the left-to-right scan of sa proper.
+	// See body in loop for commentary.
+	k := len(text) - 1
+	c0, c1 := text[k-1], text[k]
+	if c0 < c1 {
+		k = -k
+	}
+
+	// Cache recently used bucket index.
+	cB := c1
+	b := bucket[cB]
+	sa[b] = int64(k)
+	b++
+
+	for i := 0; i < len(sa); i++ {
+		j := int(sa[i])
+		if j <= 0 {
+			// Skip empty or negated entry (including negated zero).
+			continue
+		}
+
+		// Index j was on work queue, meaning k := j-1 is L-type,
+		// so we can now place k correctly into sa.
+		// If k-1 is L-type, queue k for processing later in this loop.
+		// If k-1 is S-type (text[k-1] < text[k]), queue -k to save for the caller.
+		// If k is zero, k-1 doesn't exist, so we only need to leave it
+		// for the caller. The caller can't tell the difference between
+		// an empty slot and a non-empty zero, but there's no need
+		// to distinguish them anyway: the final suffix array will end up
+		// with one zero somewhere, and that will be a real zero.
+		k := j - 1
+		c1 := text[k]
+		if k > 0 {
+			if c0 := text[k-1]; c0 < c1 {
+				k = -k
+			}
+		}
+
+		if cB != c1 {
+			bucket[cB] = b
+			cB = c1
+			b = bucket[cB]
+		}
+		sa[b] = int64(k)
+		b++
+	}
+}
+
+func induceL_32(text []int32, sa, freq, bucket []int32) {
+	// Initialize positions for left side of character buckets.
+	bucketMin_32(text, freq, bucket)
+
+	// This scan is similar to the one in induceSubL_32 above.
+	// That one arranges to clear all but the leftmost L-type indexes.
+	// This scan leaves all the L-type indexes and the original S-type
+	// indexes, but it negates the positive leftmost L-type indexes
+	// (the ones that induceS_32 needs to process).
+
+	// expand_32 left out the implicit entry sa[-1] == len(text),
+	// corresponding to the identified type-L index len(text)-1.
+	// Process it before the left-to-right scan of sa proper.
+	// See body in loop for commentary.
+	k := len(text) - 1
+	c0, c1 := text[k-1], text[k]
+	if c0 < c1 {
+		k = -k
+	}
+
+	// Cache recently used bucket index.
+	cB := c1
+	b := bucket[cB]
+	sa[b] = int32(k)
+	b++
+
+	for i := 0; i < len(sa); i++ {
+		j := int(sa[i])
+		if j <= 0 {
+			// Skip empty or negated entry (including negated zero).
+			continue
+		}
+
+		// Index j was on work queue, meaning k := j-1 is L-type,
+		// so we can now place k correctly into sa.
+		// If k-1 is L-type, queue k for processing later in this loop.
+		// If k-1 is S-type (text[k-1] < text[k]), queue -k to save for the caller.
+		// If k is zero, k-1 doesn't exist, so we only need to leave it
+		// for the caller. The caller can't tell the difference between
+		// an empty slot and a non-empty zero, but there's no need
+		// to distinguish them anyway: the final suffix array will end up
+		// with one zero somewhere, and that will be a real zero.
+		k := j - 1
+		c1 := text[k]
+		if k > 0 {
+			if c0 := text[k-1]; c0 < c1 {
+				k = -k
+			}
+		}
+
+		if cB != c1 {
+			bucket[cB] = b
+			cB = c1
+			b = bucket[cB]
+		}
+		sa[b] = int32(k)
+		b++
+	}
+}
+
+func induceL_64(text []int64, sa, freq, bucket []int64) {
+	// Initialize positions for left side of character buckets.
+	bucketMin_64(text, freq, bucket)
+
+	// This scan is similar to the one in induceSubL_64 above.
+	// That one arranges to clear all but the leftmost L-type indexes.
+	// This scan leaves all the L-type indexes and the original S-type
+	// indexes, but it negates the positive leftmost L-type indexes
+	// (the ones that induceS_64 needs to process).
+
+	// expand_64 left out the implicit entry sa[-1] == len(text),
+	// corresponding to the identified type-L index len(text)-1.
+	// Process it before the left-to-right scan of sa proper.
+	// See body in loop for commentary.
+	k := len(text) - 1
+	c0, c1 := text[k-1], text[k]
+	if c0 < c1 {
+		k = -k
+	}
+
+	// Cache recently used bucket index.
+	cB := c1
+	b := bucket[cB]
+	sa[b] = int64(k)
+	b++
+
+	for i := 0; i < len(sa); i++ {
+		j := int(sa[i])
+		if j <= 0 {
+			// Skip empty or negated entry (including negated zero).
+			continue
+		}
+
+		// Index j was on work queue, meaning k := j-1 is L-type,
+		// so we can now place k correctly into sa.
+		// If k-1 is L-type, queue k for processing later in this loop.
+		// If k-1 is S-type (text[k-1] < text[k]), queue -k to save for the caller.
+		// If k is zero, k-1 doesn't exist, so we only need to leave it
+		// for the caller. The caller can't tell the difference between
+		// an empty slot and a non-empty zero, but there's no need
+		// to distinguish them anyway: the final suffix array will end up
+		// with one zero somewhere, and that will be a real zero.
+		k := j - 1
+		c1 := text[k]
+		if k > 0 {
+			if c0 := text[k-1]; c0 < c1 {
+				k = -k
+			}
+		}
+
+		if cB != c1 {
+			bucket[cB] = b
+			cB = c1
+			b = bucket[cB]
+		}
+		sa[b] = int64(k)
+		b++
+	}
+}
+
+func induceS_8_64(text []byte, sa, freq, bucket []int64) {
+	// Initialize positions for right side of character buckets.
+	bucketMax_8_64(text, freq, bucket)
+	bucket = bucket[:256] // eliminate bounds check for bucket[cB] below
+
+	cB := byte(0)
+	b := bucket[cB]
+
+	for i := len(sa) - 1; i >= 0; i-- {
+		j := int(sa[i])
+		if j >= 0 {
+			// Skip non-flagged entry.
+			// (This loop can't see an empty entry; 0 means the real zero index.)
+			continue
+		}
+
+		// Negative j is a work queue entry; rewrite to positive j for final suffix array.
+		j = -j
+		sa[i] = int64(j)
+
+		// Index j was on work queue (encoded as -j but now decoded),
+		// meaning k := j-1 is L-type,
+		// so we can now place k correctly into sa.
+		// If k-1 is S-type, queue -k for processing later in this loop.
+		// If k-1 is L-type (text[k-1] > text[k]), queue k to save for the caller.
+		// If k is zero, k-1 doesn't exist, so we only need to leave it
+		// for the caller.
+		k := j - 1
+		c1 := text[k]
+		if k > 0 {
+			if c0 := text[k-1]; c0 <= c1 {
+				k = -k
+			}
+		}
+
+		if cB != c1 {
+			bucket[cB] = b
+			cB = c1
+			b = bucket[cB]
+		}
+		b--
+		sa[b] = int64(k)
+	}
+}
+
+func induceS_32(text []int32, sa, freq, bucket []int32) {
+	// Initialize positions for right side of character buckets.
+	bucketMax_32(text, freq, bucket)
+
+	cB := int32(0)
+	b := bucket[cB]
+
+	for i := len(sa) - 1; i >= 0; i-- {
+		j := int(sa[i])
+		if j >= 0 {
+			// Skip non-flagged entry.
+			// (This loop can't see an empty entry; 0 means the real zero index.)
+			continue
+		}
+
+		// Negative j is a work queue entry; rewrite to positive j for final suffix array.
+		j = -j
+		sa[i] = int32(j)
+
+		// Index j was on work queue (encoded as -j but now decoded),
+		// meaning k := j-1 is L-type,
+		// so we can now place k correctly into sa.
+		// If k-1 is S-type, queue -k for processing later in this loop.
+		// If k-1 is L-type (text[k-1] > text[k]), queue k to save for the caller.
+		// If k is zero, k-1 doesn't exist, so we only need to leave it
+		// for the caller.
+		k := j - 1
+		c1 := text[k]
+		if k > 0 {
+			if c0 := text[k-1]; c0 <= c1 {
+				k = -k
+			}
+		}
+
+		if cB != c1 {
+			bucket[cB] = b
+			cB = c1
+			b = bucket[cB]
+		}
+		b--
+		sa[b] = int32(k)
+	}
+}
+
+func induceS_64(text []int64, sa, freq, bucket []int64) {
+	// Initialize positions for right side of character buckets.
+	bucketMax_64(text, freq, bucket)
+
+	cB := int64(0)
+	b := bucket[cB]
+
+	for i := len(sa) - 1; i >= 0; i-- {
+		j := int(sa[i])
+		if j >= 0 {
+			// Skip non-flagged entry.
+			// (This loop can't see an empty entry; 0 means the real zero index.)
+			continue
+		}
+
+		// Negative j is a work queue entry; rewrite to positive j for final suffix array.
+		j = -j
+		sa[i] = int64(j)
+
+		// Index j was on work queue (encoded as -j but now decoded),
+		// meaning k := j-1 is L-type,
+		// so we can now place k correctly into sa.
+		// If k-1 is S-type, queue -k for processing later in this loop.
+		// If k-1 is L-type (text[k-1] > text[k]), queue k to save for the caller.
+		// If k is zero, k-1 doesn't exist, so we only need to leave it
+		// for the caller.
+		k := j - 1
+		c1 := text[k]
+		if k > 0 {
+			if c0 := text[k-1]; c0 <= c1 {
+				k = -k
+			}
+		}
+
+		if cB != c1 {
+			bucket[cB] = b
+			cB = c1
+			b = bucket[cB]
+		}
+		b--
+		sa[b] = int64(k)
+	}
+}