Merge pull request #18402 from roidelapluie/roidelapluie/strutil_subsequence

util/strutil: add subsequence matching implementation
This commit is contained in:
Julien
2026-04-14 16:55:56 +02:00
committed by GitHub
parent 12de1243c0
commit 0b067888c7
2 changed files with 574 additions and 0 deletions

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util/strutil/subsequence.go Normal file
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// Copyright The Prometheus Authors
// 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.
// The scoring algorithm is inspired by two JavaScript libraries:
// https://github.com/Nexucis/fuzzy (MIT License), used by the Prometheus UI,
// which itself was inspired by https://github.com/mattyork/fuzzy (MIT License).
package strutil
import "strings"
// SubsequenceMatcher pre-computes the encoding of a fixed search pattern so
// that it can be scored against many candidate strings without repeating the
// ASCII check or rune conversion on the pattern for every call. The first
// Score call with a Unicode candidate lazily caches the pattern's rune slice.
// It is not safe for concurrent use.
type SubsequenceMatcher struct {
pattern string
patternLen int // byte length; used for the pre-check len(pattern) > len(text)
patternASCII bool // whether pattern is pure ASCII
patternRunes []rune // pre-converted runes; set when !patternASCII or on first Unicode text
}
// NewSubsequenceMatcher returns a matcher for the given pattern.
func NewSubsequenceMatcher(pattern string) *SubsequenceMatcher {
if isASCII(pattern) {
return &SubsequenceMatcher{pattern: pattern, patternLen: len(pattern), patternASCII: true}
}
return &SubsequenceMatcher{pattern: pattern, patternLen: len(pattern), patternRunes: []rune(pattern)}
}
// Score computes a fuzzy match score between the matcher's pattern and text
// using a greedy character matching algorithm. Characters in pattern must
// appear in text in order (subsequence matching).
// The score is normalized to [0.0, 1.0] where:
// - 1.0 means exact match only.
// - 0.0 means no match (pattern is not a subsequence of text).
// - Intermediate values reward consecutive matches and penalize gaps.
//
// This is a simple scorer for autocomplete ranking. It does not try every
// possible match, so it may miss the best score when the pattern can match the
// text in more than one way.
//
// The raw scoring formula is: Σ(interval_size²) Σ(gap_size / text_length) trailing_gap / (2 * text_length).
// The result is normalized by pattern_length² (the maximum possible raw score).
func (m *SubsequenceMatcher) Score(text string) float64 {
if m.pattern == "" {
return 1.0
}
if text == "" {
return 0.0
}
// Exact match: perfect score, checked before any allocation.
if m.pattern == text {
return 1.0
}
// Byte length >= rune count, so this is a safe early exit before any allocation.
if m.patternLen > len(text) {
return 0.0
}
// For ASCII strings, use the string-native path that avoids []rune conversion.
// If pattern has non-ASCII runes but text is pure ASCII, no non-ASCII
// pattern rune can ever match, so the pattern cannot be a subsequence.
textASCII := isASCII(text)
switch {
case m.patternASCII && textASCII:
return matchSubsequenceString(m.pattern, text)
case !m.patternASCII && textASCII:
return 0.0
}
if m.patternRunes == nil {
// pattern is ASCII but text is Unicode; convert and cache pattern runes.
m.patternRunes = []rune(m.pattern)
}
return matchSubsequenceRunes(m.patternRunes, []rune(text))
}
// isASCII reports whether s contains only ASCII characters.
func isASCII(s string) bool {
for _, c := range s {
if c >= 0x80 {
return false
}
}
return true
}
// matchSubsequenceString is the string-native implementation of the scoring
// algorithm for ASCII inputs. It uses strings.IndexByte for character scanning,
// with divisions by textLen replaced by a precomputed reciprocal multiply.
func matchSubsequenceString(pattern, text string) float64 {
patternLen := len(pattern)
textLen := len(text)
invTextLen := 1.0 / float64(textLen)
maxStart := textLen - patternLen
// scoreFrom scores a match starting at startPos, where
// text[startPos] == pattern[0] is guaranteed by the caller.
scoreFrom := func(startPos int) (float64, bool) {
i := startPos
from := i
to := i
patternIdx := 1
i++
// Extend the initial consecutive run.
for patternIdx < patternLen && i < textLen && text[i] == pattern[patternIdx] {
to = i
patternIdx++
i++
}
var score float64
if from > 0 {
score -= float64(from) * invTextLen
}
size := to - from + 1
score += float64(size * size)
prevTo := to
for patternIdx < patternLen {
// Jump to the next occurrence of pattern[patternIdx].
j := strings.IndexByte(text[i:], pattern[patternIdx])
if j < 0 {
return 0, false
}
i += j
from = i
to = i
patternIdx++
i++
// Extend the consecutive run.
for patternIdx < patternLen && i < textLen && text[i] == pattern[patternIdx] {
to = i
patternIdx++
i++
}
if gap := from - prevTo - 1; gap > 0 {
score -= float64(gap) * invTextLen
}
size = to - from + 1
score += float64(size * size)
prevTo = to
}
// Penalise unmatched trailing characters at half the leading/inner rate.
if trailing := textLen - 1 - prevTo; trailing > 0 {
score -= float64(trailing) * invTextLen * 0.5
}
return score, true
}
bestScore := -1.0
for i := 0; i <= maxStart; {
// Scan for the first pattern character.
j := strings.IndexByte(text[i:maxStart+1], pattern[0])
if j < 0 {
break
}
i += j
s, matched := scoreFrom(i)
if !matched {
// If the pattern cannot be completed from i, no later start can
// succeed: text[i+1:] is a strict subset of text[i:].
break
}
if s > bestScore {
bestScore = s
}
i++
}
if bestScore < 0 {
return 0.0
}
return bestScore / float64(patternLen*patternLen)
}
// matchSubsequenceRunes implements the scoring algorithm over pre-converted
// rune slices for the Unicode path.
func matchSubsequenceRunes(patternSlice, textSlice []rune) float64 {
patternLen := len(patternSlice)
textLen := len(textSlice)
invTextLen := 1.0 / float64(textLen)
// matchFromPos tries to match all pattern characters as a subsequence of
// text starting at startPos. Returns the raw score and true on success, or
// 0 and false if the pattern cannot be fully matched.
// The score is accumulated inline, tracking only prevTo, to avoid any allocation.
matchFromPos := func(startPos int) (float64, bool) {
patternIdx := 0
i := startPos
var score float64
prevTo := -1
for i < textLen && patternIdx < patternLen {
if textSlice[i] == patternSlice[patternIdx] {
from := i
to := i
patternIdx++
i++
for i < textLen && patternIdx < patternLen && textSlice[i] == patternSlice[patternIdx] {
to = i
patternIdx++
i++
}
var gapSize int
if prevTo < 0 {
gapSize = from
} else {
gapSize = from - prevTo - 1
}
if gapSize > 0 {
score -= float64(gapSize) * invTextLen
}
size := to - from + 1
score += float64(size * size)
prevTo = to
} else {
i++
}
}
if patternIdx < patternLen {
return 0, false
}
// Penalize unmatched trailing characters at half the leading/inner gap rate.
trailingGap := textLen - 1 - prevTo
if trailingGap > 0 {
score -= float64(trailingGap) * invTextLen * 0.5
}
return score, true
}
bestScore := -1.0
// Only iterate while there are enough characters left for the pattern to fit.
maxStart := textLen - patternLen
for i := 0; i <= maxStart; i++ {
if textSlice[i] != patternSlice[0] {
continue
}
s, matched := matchFromPos(i)
if !matched {
// If matching fails from this position, no later position can succeed
// since the remaining text is a strict subset.
break
}
if s > bestScore {
bestScore = s
}
}
if bestScore < 0 {
return 0.0
}
// Normalize by pattern_length² (the maximum possible raw score).
return bestScore / float64(patternLen*patternLen)
}

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// Copyright The Prometheus Authors
// 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 strutil
import (
"fmt"
"math"
"testing"
"github.com/stretchr/testify/require"
)
// generateNames returns n synthetic metric-style names for benchmarking.
// Names are varied: some share characters with the query, some do not.
func generateNames(n int) []string {
names := make([]string, 0, n)
prefixes := []string{
"http_requests_total",
"process_cpu_seconds",
"go_goroutines",
"node_memory_bytes",
"prometheus_tsdb_head",
"grpc_server_handled",
"container_cpu_usage",
"kube_pod_status",
"up",
"scrape_duration_seconds",
}
for i := range n {
base := prefixes[i%len(prefixes)]
names = append(names, fmt.Sprintf("%s_%d", base, i/len(prefixes)))
}
return names
}
// generateNamesRunes returns n synthetic names containing non-ASCII characters
// for benchmarking the rune path. Non-ASCII characters are inserted at varying
// positions and with varying characters across prefixes, so the benchmark
// exercises both matching and non-matching rune paths.
func generateNamesRunes(n int) []string {
names := make([]string, 0, n)
prefixes := []string{
"é_http_requests_total", // é prepended; matches "éhttp_total"
"process_écu_seconds", // é mid-name; no match
"go_goroutines", // ASCII; no match
"énode_memory_bytes", // é prepended, different root; no match
"prometheus_tsdb_head", // ASCII; no match
"grpc_sérveur_handled", // é mid-name; no match
"é_http_container_total", // é prepended; matches "éhttp_total"
"kube_pod_status", // ASCII; no match
"ñup", // other non-ASCII; no match
"scrape_duration_séconds", // é near end; no match
}
for i := range n {
base := prefixes[i%len(prefixes)]
names = append(names, fmt.Sprintf("%s_%d", base, i/len(prefixes)))
}
return names
}
func BenchmarkSubsequenceScoreString(b *testing.B) {
// A 10-character query that partially matches many of the generated names.
const query = "http_total"
for _, n := range []int{1000, 2000, 10000, 100000, 1000000} {
names := generateNames(n)
b.Run(fmt.Sprintf("names=%d", n), func(b *testing.B) {
b.ReportAllocs()
m := NewSubsequenceMatcher(query)
for b.Loop() {
for _, name := range names {
m.Score(name)
}
}
})
}
}
func BenchmarkSubsequenceScoreRunes(b *testing.B) {
// Non-ASCII query to force the rune path; matches a subset of the generated names.
const query = "éhttp_total"
for _, n := range []int{1000, 2000, 10000, 100000, 1000000} {
names := generateNamesRunes(n)
b.Run(fmt.Sprintf("names=%d", n), func(b *testing.B) {
b.ReportAllocs()
m := NewSubsequenceMatcher(query)
for b.Loop() {
for _, name := range names {
m.Score(name)
}
}
})
}
}
func TestSubsequenceScore(t *testing.T) {
tests := []struct {
name string
pattern string
text string
wantScore float64
wantZero bool
}{
{
name: "empty pattern",
pattern: "",
text: "anything",
wantScore: 1.0,
},
{
name: "empty text",
pattern: "abc",
text: "",
wantZero: true,
},
{
name: "exact match",
pattern: "my awesome text",
text: "my awesome text",
wantScore: 1.0,
},
{
name: "prefix match",
pattern: "my",
text: "my awesome text",
// intervals [0,1], leading=0, trailing=13. raw = 4 - 13/30, normalized by 4.
wantScore: 107.0 / 120.0,
},
{
name: "substring match",
pattern: "tex",
text: "my awesome text",
// intervals [11,13], leading=11, trailing=1. raw = 9 - 11/15 - 1/30, normalized by 9.
wantScore: 247.0 / 270.0,
},
{
name: "fuzzy match picks best starting position",
pattern: "met",
text: "my awesome text",
// intervals [8,9] and [11,11], leading=8, inner gap=1, trailing=3. raw = 5 - 9/15 - 3/30, normalized by 9.
wantScore: 43.0 / 90.0,
},
{
name: "prefers later position with better consecutive run",
pattern: "bac",
text: "babac",
wantScore: 43.0 / 45.0, // match at [2,4], leading gap=2, trailing=0. raw = 9 - 2/5, normalized by 9.
},
{
name: "pattern longer than text",
pattern: "abcd",
text: "abc",
wantZero: true,
},
{
name: "pattern longer in runes than multi-byte text",
pattern: "abc",
text: "éé",
wantZero: true,
},
{
name: "non-ASCII pattern with ASCII text",
pattern: "é",
text: "ab",
wantZero: true,
},
{
name: "no subsequence match",
pattern: "xyz",
text: "abc",
wantZero: true,
},
{
name: "unicode exact match",
pattern: "éàü",
text: "éàü",
wantScore: 1.0,
},
{
name: "unicode prefix match",
pattern: "éà",
text: "éàü",
// intervals [0,1], leading=0, trailing=1. raw = 4 - 1/6, normalized by 4.
wantScore: 23.0 / 24.0,
},
{
name: "unicode no match",
pattern: "üé",
text: "éàü",
wantZero: true,
},
{
name: "unicode first char matches but pattern cannot complete",
pattern: "éàx",
text: "éàü",
wantZero: true,
},
{
name: "unicode fuzzy match with gap between intervals",
pattern: "éü",
text: "éàü",
// intervals [0,0] and [2,2], leading=0, inner gap=1, trailing=0.
// raw = 1 + 1 - 1/3, normalized by 4.
wantScore: 5.0 / 12.0,
},
{
name: "mixed ascii and unicode",
pattern: "aé",
text: "aéb",
// intervals [0,1], leading=0, trailing=1. raw = 4 - 1/6, normalized by 4.
wantScore: 23.0 / 24.0,
},
{
name: "unicode chars sharing leading utf-8 byte do not match",
// 'é' (U+00E9) encodes as [0xC3 0xA9] and 'ã' (U+00E3) as [0xC3 0xA3].
// They share the leading byte but must not be treated as equal.
pattern: "é",
text: "ã",
wantZero: true,
},
{
name: "single char exact match",
pattern: "a",
text: "a",
wantScore: 1.0,
},
{
name: "consecutive match with leading gap",
pattern: "oa",
text: "goat",
// 'o'(1),'a'(2) form one interval [1,2], leading gap=1, trailing=1.
// raw = 2² - 1/4 - 1/8 = 29/8, normalized by 2² = 4.
wantScore: 29.0 / 32.0,
},
{
name: "repeated chars use greedy match",
pattern: "abaa",
text: "abbaa",
// Matches 'a'(0),'b'(1),'a'(3),'a'(4) as intervals [0,1] and [3,4].
// raw = 2² + 2² - 1/5, normalized by 4² = 16.
// A better match exists at 'a'(0),'b'(2),'a'(3),'a'(4), which would score 49/80,
// but this test documents the current greedy behavior.
wantScore: 39.0 / 80.0,
},
}
for _, tt := range tests {
t.Run(tt.name, func(t *testing.T) {
got := NewSubsequenceMatcher(tt.pattern).Score(tt.text)
if tt.wantZero {
require.Equal(t, 0.0, got)
return
}
require.InDelta(t, tt.wantScore, got, 1e-9)
})
}
}
func TestSubsequenceScoreProperties(t *testing.T) {
// Prefix match scores below 1.0; only exact match scores 1.0.
// "pro" in "prometheus": intervals [0,2], trailing=7. raw = 9 - 7/20, normalized by 9.
require.InDelta(t, 173.0/180.0, NewSubsequenceMatcher("pro").Score("prometheus"), 1e-9)
// Exact match always scores 1.0.
require.Equal(t, 1.0, NewSubsequenceMatcher("prometheus").Score("prometheus"))
// Score is always in [0, 1].
cases := [][2]string{
{"abc", "xaxbxcx"},
{"z", "aaaaaz"},
{"ab", "ba"},
{"met", "my awesome text"},
}
for _, c := range cases {
score := NewSubsequenceMatcher(c[0]).Score(c[1])
require.True(t, score >= 0.0 && score <= 1.0,
"score %v out of range for pattern=%q text=%q", score, c[0], c[1])
require.False(t, math.IsNaN(score))
}
// Prefix scores higher than non-prefix substring.
prefixScore := NewSubsequenceMatcher("abc").Score("abcdef")
suffixScore := NewSubsequenceMatcher("abc").Score("defabc")
require.Greater(t, prefixScore, suffixScore)
// Consecutive chars score higher than scattered.
consecutiveScore := NewSubsequenceMatcher("abc").Score("xabcx")
scatteredScore := NewSubsequenceMatcher("abc").Score("xaxbxcx")
require.Greater(t, consecutiveScore, scatteredScore)
}