Signed-off-by: hongming <talonwan@yunify.com>
This commit is contained in:
hongming
2020-03-19 22:44:05 +08:00
parent 23f6be88c6
commit 9769357005
332 changed files with 69808 additions and 4129 deletions

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# glob-intersection
Go package to check if the set of non-empty strings matched by the intersection of two regexp-style globs is non-empty.
### Examples
- `gintersect.NonEmpty("a.a.", ".b.b")` is `true` because both globs match the string `abab`.
- `gintersect.NonEmpty("[a-z]+", "[0-9]*)` is `false` because there are no non-empty strings that both globs match.
### Limitations
- It is assumed that all input is rooted at the beginning and the end, i.e, starts and ends with the regexp symbols `^` and `$` respectively. This is done because any non-rooted expressions will always match a non-empty set of non-empty strings.
- The only special symbols are:
- `.` for any character.
- `+` for 1 or more of the preceding expression.
- `*` for 0 or more of the preceding expression.
- `[` and `]` to define regexp-style character classes.
- `-` to specify Unicode ranges inside character class definitions.
- `\` escapes any special symbol, including itself.
### Complexity
Complexity is exponential in the number of flags (`+` or `*`) present in the glob with the smaller flag count.
Benchmarks (see [`non_empty_bench_test.go`](/non_empty_bench_test.go)) reveal that inputs where one of the globs has <= 10 flags, and both globs have 100s of characters, will run in less than a nanosecond. This should be ok for most use cases.
### Acknowledgements
[This StackOverflow discussion](https://stackoverflow.com/questions/18695727/algorithm-to-find-out-whether-the-matches-for-two-glob-patterns-or-regular-expr) for fleshing out the logic.

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// Package gintersect provides methods to check whether the intersection of several globs matches a non-empty set of strings.
package gintersect
import (
"fmt"
"strings"
)
// Glob represents a glob.
type Glob []Token
// NewGlob constructs a Glob from the given string by tokenizing and then simplifying it, or reports errors if any.
func NewGlob(input string) (Glob, error) {
tokens, err := Tokenize([]rune(input))
if err != nil {
return nil, err
}
tokens = Simplify(tokens)
return Glob(tokens), nil
}
// TokenType is the type of a Token.
type TokenType uint
const (
TTCharacter TokenType = iota
TTDot
TTSet
)
// Flag applies to a token.
type Flag uint
func (f Flag) String() (s string) {
for r, flag := range flagRunes {
if f == flag {
s = string(r)
break
}
}
return
}
const (
FlagNone = iota
FlagPlus
FlagStar
)
// Token is the element that makes up a Glob.
type Token interface {
Type() TokenType
Flag() Flag
SetFlag(Flag)
// Equal describes whether the given Token is exactly equal to this one, barring differences in flags.
Equal(Token) bool
String() string
}
// token is the base for all structs implementing Token.
type token struct {
ttype TokenType
flag Flag
}
func (t token) Type() TokenType {
return t.ttype
}
func (t token) Flag() Flag {
return t.flag
}
func (t *token) SetFlag(f Flag) {
t.flag = f
}
// character is a specific rune. It implements Token.
type character struct {
token
r rune
}
func NewCharacter(r rune) Token {
return &character{
token: token{ttype: TTCharacter},
r: r,
}
}
func (c character) Equal(other Token) bool {
if c.Type() != other.Type() {
return false
}
o := other.(*character)
return c.Rune() == o.Rune()
}
func (c character) String() string {
return fmt.Sprintf("{character: %s flag: %s}", string(c.Rune()), c.Flag().String())
}
func (c character) Rune() rune {
return c.r
}
// dot is any character. It implements Token.
type dot struct {
token
}
func NewDot() Token {
return &dot{
token: token{ttype: TTDot},
}
}
func (d dot) Equal(other Token) bool {
if d.Type() != other.Type() {
return false
}
return true
}
func (d dot) String() string {
return fmt.Sprintf("{dot flag: %s}", d.Flag().String())
}
// set is a set of characters (similar to regexp character class).
// It implements Token.
type set struct {
token
runes map[rune]bool
}
func NewSet(runes []rune) Token {
m := map[rune]bool{}
for _, r := range runes {
m[r] = true
}
return &set{
token: token{ttype: TTSet},
runes: m,
}
}
func (s set) Equal(other Token) bool {
if s.Type() != other.Type() {
return false
}
o := other.(*set)
r1, r2 := s.Runes(), o.Runes()
if len(r1) != len(r2) {
return false
}
for k, _ := range r1 {
if _, ok := r2[k]; !ok {
return false
}
}
return true
}
func (s set) String() string {
rs := make([]string, 0, 30)
for r, _ := range s.Runes() {
rs = append(rs, string(r))
}
return fmt.Sprintf("{set: %s flag: %s}", strings.Join(rs, ""), s.Flag().String())
}
func (s set) Runes() map[rune]bool {
return s.runes
}

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package gintersect
import (
"github.com/pkg/errors"
)
var (
errBadImplementation = errors.New("this logical path is invalid")
)
// Match implements single-Token matching, ignoring flags.
// Example: [a-d] and [b-e] match, while [a-z] and [0-9] do not.
func Match(t1 Token, t2 Token) bool {
var temp Token
if t1.Type() > t2.Type() {
temp = t1
t1 = t2
t2 = temp
}
switch t1.Type() {
case TTCharacter:
ch := t1.(*character)
switch t2.Type() {
case TTCharacter:
return matchCharacters(ch, t2.(*character))
case TTDot:
return matchCharacterDot(ch, t2.(*dot))
case TTSet:
return matchCharacterSet(ch, t2.(*set))
default:
panic(errBadImplementation)
}
case TTDot:
d := t1.(*dot)
switch t2.Type() {
case TTDot:
return matchDots(d, t2.(*dot))
case TTSet:
return matchDotSet(d, t2.(*set))
default:
panic(errBadImplementation)
}
case TTSet:
switch t2.Type() {
case TTSet:
return matchSets(t1.(*set), t2.(*set))
default:
panic(errBadImplementation)
}
default:
panic(errBadImplementation)
}
}
func matchCharacters(a *character, b *character) bool {
return a.Rune() == b.Rune()
}
func matchCharacterDot(a *character, b *dot) bool {
return true
}
func matchCharacterSet(a *character, b *set) bool {
_, ok := b.Runes()[a.Rune()]
return ok
}
func matchDots(a *dot, b *dot) bool {
return true
}
func matchDotSet(a *dot, b *set) bool {
return true
}
func matchSets(a *set, b *set) bool {
for k, _ := range a.Runes() {
if _, ok := b.Runes()[k]; ok {
return true
}
}
return false
}

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package gintersect
// NonEmpty is true if the intersection of lhs and rhs matches a non-empty set of non-empty str1ngs.
func NonEmpty(lhs string, rhs string) (bool, error) {
g1, err := NewGlob(lhs)
if err != nil {
return false, err
}
g2, err := NewGlob(rhs)
if err != nil {
return false, err
}
var match bool
g1, g2, match = trimGlobs(g1, g2)
if !match {
return false, nil
}
return intersectNormal(g1, g2), nil
}
// trimGlobs removes matching prefixes and suffixes from g1, g2, or returns false if prefixes/suffixes don't match.
func trimGlobs(g1, g2 Glob) (Glob, Glob, bool) {
var l, r1, r2 int
// Trim from the beginning until a flagged Token or a mismatch is found.
for l = 0; l < len(g1) && l < len(g2) && g1[l].Flag() == FlagNone && g2[l].Flag() == FlagNone; l++ {
if !Match(g1[l], g2[l]) {
return nil, nil, false
}
}
// Leave one prefix Token untrimmed to avoid empty Globs because those will break the algorithm.
if l > 0 {
l--
}
// Trim from the end until a flagged Token or a mismatch is found.
for r1, r2 = len(g1)-1, len(g2)-1; r1 >= 0 && r1 >= l && r2 >= 0 && r2 >= l && g1[r1].Flag() == FlagNone && g2[r2].Flag() == FlagNone; r1, r2 = r1-1, r2-1 {
if !Match(g1[r1], g2[r2]) {
return nil, nil, false
}
}
// Leave one suffix Token untrimmed to avoid empty Globs because those will break the algorithm.
if r1 < len(g1)-1 {
r1++
r2++
}
return g1[l : r1+1], g2[l : r2+1], true
}
// All uses of `intersection exists` below mean that the intersection of the globs matches a non-empty set of non-empty strings.
// intersectNormal accepts two globs and returns a boolean describing whether their intersection exists.
// It traverses g1, g2 while ensuring that their Tokens match.
// If a flagged Token is encountered, flow of control is handed off to intersectSpecial.
func intersectNormal(g1, g2 Glob) bool {
var i, j int
for i, j = 0, 0; i < len(g1) && j < len(g2); i, j = i+1, j+1 {
if g1[i].Flag() == FlagNone && g2[j].Flag() == FlagNone {
if !Match(g1[i], g2[j]) {
return false
}
} else {
return intersectSpecial(g1[i:], g2[j:])
}
}
if i == len(g1) && j == len(g2) {
return true
}
return false
}
// intersectSpecial accepts two globs such that at least one starts with a flagged Token.
// It returns a boolean describing whether their intersection exists.
// It hands flow of control to intersectPlus or intersectStar correctly.
func intersectSpecial(g1, g2 Glob) bool {
if g1[0].Flag() != FlagNone { // If g1 starts with a Token having a Flag.
switch g1[0].Flag() {
case FlagPlus:
return intersectPlus(g1, g2)
case FlagStar:
return intersectStar(g1, g2)
}
} else { // If g2 starts with a Token having a Flag.
switch g2[0].Flag() {
case FlagPlus:
return intersectPlus(g2, g1)
case FlagStar:
return intersectStar(g2, g1)
}
}
return false
}
// intersectPlus accepts two globs such that plussed[0].Flag() == FlagPlus.
// It returns a boolean describing whether their intersection exists.
// It ensures that at least one token in other maches plussed[0], before handing flow of control to intersectSpecial.
func intersectPlus(plussed, other Glob) bool {
if !Match(plussed[0], other[0]) {
return false
}
return intersectStar(plussed, other[1:])
}
// intersectStar accepts two globs such that starred[0].Flag() == FlagStar.
// It returns a boolean describing whether their intersection exists.
// It gobbles up Tokens from other until the Tokens remaining in other intersect with starred[1:]
func intersectStar(starred, other Glob) bool {
// starToken, nextToken are the token having FlagStar and the one that follows immediately after, respectively.
var starToken, nextToken Token
starToken = starred[0]
if len(starred) > 1 {
nextToken = starred[1]
}
for i, t := range other {
// Start gobbl1ng up tokens in other while they match starToken.
if nextToken != nil && Match(t, nextToken) {
// When a token in other matches the token after starToken, stop gobbl1ng and try to match the two all the way.
allTheWay := intersectNormal(starred[1:], other[i:])
// If they match all the way, the Globs intersect.
if allTheWay {
return true
} else {
// If they don't match all the way, then the current token from other should still match starToken.
if !Match(t, starToken) {
return false
}
}
} else {
// Only move forward if this token can be gobbled up by starToken.
if !Match(t, starToken) {
return false
}
}
}
// If there was no token following starToken, and everything from other was gobbled, the Globs intersect.
if nextToken == nil {
return true
}
// If everything from other was gobbles but there was a nextToken to match, they don't intersect.
return false
}

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package gintersect
// Simplify accepts a Token slice and returns a equivalient Token slice that is shorter/simpler.
// The only simplification currently applied is removing redundant flagged Tokens.
// TODO: Remove unflagged Tokens next to equivalen Tokens with FlagPlus. Example: tt+t == t+
func Simplify(tokens []Token) []Token {
if len(tokens) == 0 {
return tokens
}
simple := make([]Token, 1, len(tokens))
simple[0] = tokens[0]
latest := simple[0]
for i := 1; i < len(tokens); i++ {
handled := false
// Possible simplifications to apply if there is a flag.
if tokens[i].Flag() != FlagNone && latest.Flag() != FlagNone {
// If the token contents are the same, then apply simplification.
if tokens[i].Equal(latest) {
var flag Flag
// FlagPlus takes precedence, because:
// t+t* == t+
// t*t+ == t+
if tokens[i].Flag() == FlagPlus || latest.Flag() == FlagPlus {
flag = FlagPlus
} else {
flag = FlagStar
}
simple[len(simple)-1].SetFlag(flag)
handled = true
}
}
if !handled {
latest = tokens[i]
simple = append(simple, tokens[i])
}
}
return simple
}

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package gintersect
var (
samplesInitialized = false
testCharacters map[rune]Token
testCharactersPlus map[rune]Token
testCharactersStar map[rune]Token
testDot, testDotPlus, testDotStar Token
testLowerAlphaSet, testLowerAlphaSetPlus, lowerAplhaSetStar Token
testUpperAlphaSet, testUpperAlphaSetPlus, testUpperAlphaSetStar Token
testNumSet, testNumSetPlus, testNumSetStar Token
testSymbolSet, testSymbolSetPlus, testSymbolSetStar Token
testEmptySet Token
)
func initializeTestSamples() {
if samplesInitialized {
return
}
testCharacters, testCharactersPlus, testCharactersStar = make(map[rune]Token), make(map[rune]Token), make(map[rune]Token)
testDot, testDotPlus, testDotStar = NewDot(), NewDot(), NewDot()
testDotPlus.SetFlag(FlagPlus)
testDotStar.SetFlag(FlagStar)
var runes []rune
runes = makeRunes('a', 'z')
testLowerAlphaSet, testLowerAlphaSetPlus, lowerAplhaSetStar = NewSet(runes), NewSet(runes), NewSet(runes)
testLowerAlphaSetPlus.SetFlag(FlagPlus)
lowerAplhaSetStar.SetFlag(FlagStar)
runes = makeRunes('A', 'Z')
testUpperAlphaSet, testUpperAlphaSetPlus, testUpperAlphaSetStar = NewSet(runes), NewSet(runes), NewSet(runes)
testUpperAlphaSetPlus.SetFlag(FlagPlus)
testUpperAlphaSetStar.SetFlag(FlagStar)
runes = makeRunes('0', '9')
testNumSet, testNumSetPlus, testNumSetStar = NewSet(runes), NewSet(runes), NewSet(runes)
testNumSetPlus.SetFlag(FlagPlus)
testNumSetStar.SetFlag(FlagStar)
runes = makeRunes('!', '/')
testSymbolSet, testSymbolSetPlus, testSymbolSetStar = NewSet(runes), NewSet(runes), NewSet(runes)
testSymbolSetPlus.SetFlag(FlagPlus)
testSymbolSetStar.SetFlag(FlagStar)
testEmptySet = NewSet([]rune{})
samplesInitialized = true
}
func makeRunes(from rune, to rune) []rune {
runes := make([]rune, 0, 30)
for r := from; r <= to; r++ {
runes = append(runes, r)
addToCharacters(r)
}
return runes
}
func addToCharacters(r rune) {
var t Token
t = NewCharacter(r)
testCharacters[r] = t
t = NewCharacter(r)
t.SetFlag(FlagPlus)
testCharactersPlus[r] = t
t = NewCharacter(r)
t.SetFlag(FlagStar)
testCharactersStar[r] = t
}

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package gintersect
import (
"fmt"
"github.com/pkg/errors"
)
// Modifier is a special character that affects lexical analysis.
type Modifier uint
const (
ModifierBackslash Modifier = iota
)
var (
// Special runes.
tokenTypeRunes = map[rune]TokenType{
'.': TTDot,
'[': TTSet,
']': TTSet,
}
flagRunes = map[rune]Flag{
'+': FlagPlus,
'*': FlagStar,
}
modifierRunes = map[rune]Modifier{
'\\': ModifierBackslash,
}
// Errors.
ErrInvalidInput = errors.New("the input provided is invalid")
errEndOfInput = errors.New("reached end of input")
)
// Tokenize converts a rune slice into a Token slice.
func Tokenize(input []rune) ([]Token, error) {
tokens := []Token{}
for i, t, err := nextToken(0, input); err != errEndOfInput; i, t, err = nextToken(i, input) {
if err != nil {
return nil, err
}
tokens = append(tokens, t)
}
return tokens, nil
}
// nextToken yields the Token starting at the given index of input, and newIndex at which the next Token should start.
func nextToken(index int, input []rune) (newIndex int, token Token, err error) {
var r rune
var escaped bool
newIndex, r, escaped, err = nextRune(index, input)
if err != nil {
return
}
if !escaped {
if ttype, ok := tokenTypeRunes[r]; ok {
switch ttype {
case TTDot:
token = NewDot()
case TTSet:
if r == ']' {
err = errors.Wrap(ErrInvalidInput, invalidInputMessage(input, newIndex, "set-close ']' with no preceding '['"))
return
}
newIndex, token, err = nextTokenSet(newIndex, input)
if err != nil {
return
}
default:
panic(errors.Wrapf(errBadImplementation, "encountered unhandled token type: %v", ttype))
}
} else if _, ok := flagRunes[r]; ok {
err = errors.Wrap(ErrInvalidInput, invalidInputMessage(input, newIndex, "flag '%s' must be preceded by a non-flag", string(r)))
return
} else if m, ok := modifierRunes[r]; ok {
panic(errors.Wrapf(errBadImplementation, "encountered unhandled modifier: %v", m))
} else {
// Nothing special to do.
token = NewCharacter(r)
}
} else {
// Nothing special to do.
token = NewCharacter(r)
}
var f Flag
newIndex, f, err = nextFlag(newIndex, input)
if err == errEndOfInput {
// Let this err be passed in the next cycle, after the current token is consumed.
err = nil
} else if err != nil {
return
}
token.SetFlag(f)
return
}
// nextTokenSet yields a Token having type TokenSet and starting at the given index of input.
// The next Token/Flag should start at newIndex.
func nextTokenSet(index int, input []rune) (newIndex int, t Token, err error) {
var r, prev rune
var escaped bool
runes := make([]rune, 0, 30)
complete, prevExists := false, false
newIndex, r, escaped, err = nextRune(index, input)
// If errEndOfInput is encountered, flow of control proceeds to the end of the function,
// where the error is handled.
if err != nil && err != errEndOfInput {
return
}
for ; err != errEndOfInput; newIndex, r, escaped, err = nextRune(newIndex, input) {
if err != nil {
return
}
if !escaped {
// Handle symbols.
switch r {
case '-':
if !prevExists {
err = errors.Wrap(ErrInvalidInput, invalidInputMessage(input, newIndex, "range character '-' must be preceded by a Unicode character"))
return
}
if newIndex >= len(input)-1 {
err = errors.Wrap(ErrInvalidInput, invalidInputMessage(input, newIndex, "range character '-' must be followed by a Unicode character"))
return
}
// Get the next rune to know the extent of the range.
newIndex, r, escaped, err = nextRune(newIndex, input)
if !escaped {
if r == ']' || r == '-' {
err = errors.Wrap(ErrInvalidInput, invalidInputMessage(input, newIndex, "range character '-' cannot be followed by a special symbol"))
return
}
}
if r < prev {
err = errors.Wrap(ErrInvalidInput, invalidInputMessage(input, newIndex, "range is out of order: '%s' comes before '%s' in Unicode", string(r), string(prev)))
return
}
for x := prev; x <= r; x++ {
runes = append(runes, x)
}
prevExists = false
case ']':
complete = true
// Nothing special to do.
default:
runes = append(runes, r)
prev, prevExists = r, true
}
} else {
// Nothing special to do.
runes = append(runes, r)
prev, prevExists = r, true
}
// Don't move the index forward if the set is complete.
if complete {
break
}
}
// End of input is reached before the set completes.
if !complete {
err = errors.Wrap(ErrInvalidInput, invalidInputMessage(input, newIndex, "found [ without matching ]"))
} else {
t = NewSet(runes)
}
return
}
// nextFlag yields the Flag starting at the given index of input, if any.
// The next Token should start at newIndex.
func nextFlag(index int, input []rune) (newIndex int, f Flag, err error) {
var escaped, ok bool
var r rune
f = FlagNone
newIndex, r, escaped, err = nextRune(index, input)
if err != nil {
return
}
if !escaped {
// Revert back to index for later consumption.
if f, ok = flagRunes[r]; !ok {
newIndex = index
}
} else {
// Revert back to index for later consumption.
newIndex = index
}
return
}
// nextRune yields the rune starting (with modifiers) at the given index of input, with boolean escaped describing whether the rune is escaped.
// The next rune should start at newIndex.
func nextRune(index int, input []rune) (newIndex int, r rune, escaped bool, err error) {
if index >= len(input) {
newIndex = index
err = errEndOfInput
return
}
if m, ok := modifierRunes[input[index]]; ok {
switch m {
case ModifierBackslash:
if index < len(input)-1 {
newIndex, r, escaped = index+2, input[index+1], true
} else if index == len(input)-1 {
err = errors.Wrap(ErrInvalidInput, invalidInputMessage(input, index, "input ends with a \\ (escape) character"))
}
default:
panic(errors.Wrapf(errBadImplementation, "encountered unhandled modifier: %v", m))
}
} else {
newIndex, r, escaped = index+1, input[index], false
}
return
}
// invalidInputMessage wraps the message describing invalid input with the input itself and index at which it is invalid.
func invalidInputMessage(input []rune, index int, message string, args ...interface{}) string {
return fmt.Sprintf("input:%s, pos:%d, %s", string(input), index, fmt.Sprintf(message, args...))
}