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Shivaram Lingamneni 2020-05-13 03:41:00 -04:00
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commit be0dedf260
12 changed files with 199 additions and 437 deletions

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language: go
go:
- 1.4
- tip
before_install:
- go get golang.org/x/tools/cmd/cover
- go get golang.org/x/tools/cmd/vet
- go get golang.org/x/tools/cmd/goimports
- go get github.com/golang/lint/golint
- go get github.com/mattn/goveralls
script:
- go vet ./...
# - $HOME/gopath/bin/goveralls -coverprofile=coverage.cov -service=travis-ci
# - bash <(curl -s https://codecov.io/bash)
- go test -bench=. -benchmem ./...
#- sh ./install_all_cmd.sh

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ε-NFA: Epsilon-Nondeterministic finite automaton
==============
[![GitHub license](https://img.shields.io/badge/license-MIT-blue.svg)](https://raw.githubusercontent.com/kkdai/e-nfa/master/LICENSE) [![GoDoc](https://godoc.org/github.com/kkdai/e-nfa?status.svg)](https://godoc.org/github.com/kkdai/e-nfa) [![Build Status](https://travis-ci.org/kkdai/e-nfa.svg?branch=master)](https://travis-ci.org/kkdai/e-nfa)
![image](https://upload.wikimedia.org/wikipedia/commons/thumb/0/0e/NFAexample.svg/250px-NFAexample.svg.png)
What is Epsilon-Nondeterministic finite automaton
=============
`ε-NFA`: Epsilon-Nondeterministic finite automaton (so call:Nondeterministic finite automaton with ε-moves)
In the automata theory, a nondeterministic finite automaton with ε-moves (NFA-ε)(also known as NFA-λ) is an extension of nondeterministic finite automaton(NFA), which allows a transformation to a new state without consuming any input symbols. The transitions without consuming an input symbol are called ε-transitions or λ-transitions. In the state diagrams, they are usually labeled with the Greek letter ε or λ.
(sited from [here](https://en.wikipedia.org/wiki/Nondeterministic_finite_automaton))
Looking for DFA implement?
=============
I also write a DFA implenent in Go here. [https://github.com/kkdai/dfa](https://github.com/kkdai/dfa)
Looking for NFA implement?
=============
I also write a NFA implenent in Go here. [https://github.com/kkdai/nfa](https://github.com/kkdai/nfa)
Installation and Usage
=============
Install
---------------
go get github.com/kkdai/e-nfa
Usage
---------------
Following is sample code to implement a epsilon-NFA automata diagram as follow:
![image](image/eNFA.png)
```go
package main
import (
"github.com/kkdai/enfa"
"fmt"
)
func main() {
nfa := NewENFA(0, false)
nfa.AddState(1, false)
nfa.AddState(2, false)
nfa.AddState(3, true)
nfa.AddState(4, false)
nfa.AddState(5, false)
nfa.AddTransition(0, "1", 1)
nfa.AddTransition(0, "0", 4)
nfa.AddTransition(1, "1", 2)
nfa.AddTransition(1, "", 3) //epsilon
nfa.AddTransition(2, "1", 3)
nfa.AddTransition(4, "0", 5)
nfa.AddTransition(4, "", 1, 2) //E -> epsilon B C
nfa.AddTransition(5, "0", 3)
nfa.PrintTransitionTable()
if !nfa.VerifyInputs([]string{"1"}) {
fmt.Printf("Verify inputs is failed")
}
nfa.Reset()
if !nfa.VerifyInputs([]string{"1", "1", "1"}) {
fmt.Printf("Verify inputs is failed")
}
nfa.Reset()
if !nfa.VerifyInputs([]string{"0", "1"}) {
fmt.Printf"Verify inputs is failed")
}
nfa.Reset()
if !nfa.VerifyInputs([]string{"0", "0", "0"}) {
fmt.Printf("Verify inputs is failed")
}
}
```
Inspired By
=============
- [ε-NFA: Wiki](https://en.wikipedia.org/wiki/Nondeterministic_finite_automaton_with_%CE%B5-moves)
- [Coursera: Automata](https://class.coursera.org/automata-004/)
Project52
---------------
It is one of my [project 52](https://github.com/kkdai/project52).
License
---------------
This package is licensed under MIT license. See LICENSE for details.

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package enfa
import "fmt"
type transitionInput struct {
srcState int
input string
}
type destState map[int]bool
type ENFA struct {
initState int
currentState map[int]bool
totalStates []int
finalStates []int
transition map[transitionInput]destState
inputMap map[string]bool
}
//New a new NFA
func NewENFA(initState int, isFinal bool) *ENFA {
retNFA := &ENFA{
transition: make(map[transitionInput]destState),
inputMap: make(map[string]bool),
initState: initState}
retNFA.currentState = make(map[int]bool)
retNFA.currentState[initState] = true
retNFA.AddState(initState, isFinal)
return retNFA
}
//Add new state in this NFA
func (d *ENFA) AddState(state int, isFinal bool) {
if state == -1 {
fmt.Println("Cannot add state as -1, it is dead state")
return
}
d.totalStates = append(d.totalStates, state)
if isFinal {
d.finalStates = append(d.finalStates, state)
}
}
//Add new transition function into NFA
func (d *ENFA) AddTransition(srcState int, input string, dstStateList ...int) {
find := false
//find input if exist in NFA input List
if _, ok := d.inputMap[input]; !ok {
//not exist, new input in this NFA
d.inputMap[input] = true
}
for _, v := range d.totalStates {
if v == srcState {
find = true
}
}
if !find {
fmt.Println("No such state:", srcState, " in current NFA")
return
}
dstMap := make(map[int]bool)
for _, destState := range dstStateList {
dstMap[destState] = true
}
targetTrans := transitionInput{srcState: srcState, input: input}
d.transition[targetTrans] = dstMap
}
func (d *ENFA) CheckPathExist(src int, input string, dst int) bool {
retMap, _ := d.transition[transitionInput{srcState: src, input: input}]
if _, ok := retMap[dst]; ok {
return true
}
return false
}
func (d *ENFA) Input(testInput string) []int {
updateCurrentState := make(map[int]bool)
for current, _ := range d.currentState {
for _, realTestInput := range []string{testInput, "*", "?"} {
intputTrans := transitionInput{srcState: current, input: realTestInput}
valMap, ok := d.transition[intputTrans]
if ok {
for dst, _ := range valMap {
updateCurrentState[dst] = true
//Update epsilon input way... if exist
epsilonTrans := transitionInput{srcState: dst}
if eMap, ok := d.transition[epsilonTrans]; ok {
for eDst, _ := range eMap {
updateCurrentState[eDst] = true
}
}
}
} else {
//dead state, remove in current state
//do nothing.
}
}
}
//update curret state
d.currentState = updateCurrentState
//return result
var ret []int
for state, _ := range updateCurrentState {
ret = append(ret, state)
}
return ret
}
//To verify current state if it is final state
func (d *ENFA) Verify() bool {
for _, val := range d.finalStates {
for cState, _ := range d.currentState {
if val == cState {
return true
}
}
}
return false
}
//Reset NFA state to initilize state, but all state and transition function will remain
func (d *ENFA) Reset() {
initState := make(map[int]bool)
initState[d.initState] = true
d.currentState = initState
}
//Verify if list of input could be accept by NFA or not
func (d *ENFA) VerifyInputs(inputs []string) bool {
for _, v := range inputs {
d.Input(v)
}
return d.Verify()
}
//To print detail transition table contain of current NFA
func (d *ENFA) PrintTransitionTable() {
fmt.Println("===================================================")
//list all inputs
var inputList []string
for key, _ := range d.inputMap {
if key == "" {
fmt.Printf("\tε|")
} else {
fmt.Printf("\t%s|", key)
}
inputList = append(inputList, key)
}
fmt.Printf("\n")
fmt.Println("---------------------------------------------------")
for _, state := range d.totalStates {
fmt.Printf("%d |", state)
for _, key := range inputList {
checkInput := transitionInput{srcState: state, input: key}
if dstState, ok := d.transition[checkInput]; ok {
fmt.Printf("\t")
for val, _ := range dstState {
fmt.Printf("%d,", val)
}
fmt.Printf("|")
} else {
fmt.Printf("\tNA|")
}
}
fmt.Printf("\n")
}
fmt.Println("---------------------------------------------------")
fmt.Println("===================================================")
}

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// written by Daniel Oaks <daniel@danieloaks.net>
// released under the ISC license
/*
Package ircmatch handles matching IRC strings with the traditional glob-like syntax.
*/
package ircmatch

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package ircmatch
import enfa "github.com/goshuirc/e-nfa"
// Matcher represents an object that can match IRC strings.
type Matcher struct {
internalENFA *enfa.ENFA
}
// MakeMatch creates a Matcher.
func MakeMatch(globTemplate string) Matcher {
var newmatch Matcher
// assemble internal enfa
newmatch.internalENFA = enfa.NewENFA(0, false)
var currentState int
var lastWasStar bool
for _, char := range globTemplate {
if char == '*' {
if lastWasStar {
continue
}
newmatch.internalENFA.AddTransition(currentState, "*", currentState)
lastWasStar = true
continue
} else if char == '?' {
newmatch.internalENFA.AddState(currentState+1, false)
newmatch.internalENFA.AddTransition(currentState, "?", currentState+1)
currentState++
} else {
newmatch.internalENFA.AddState(currentState+1, false)
newmatch.internalENFA.AddTransition(currentState, string(char), currentState+1)
currentState++
}
lastWasStar = false
}
// create end state
newmatch.internalENFA.AddState(currentState+1, true)
newmatch.internalENFA.AddTransition(currentState, "", currentState+1)
return newmatch
}
// Match returns true if the given string matches this glob.
func (menfa *Matcher) Match(search string) bool {
var searchChars []string
for _, char := range search {
searchChars = append(searchChars, string(char))
}
isMatch := menfa.internalENFA.VerifyInputs(searchChars)
menfa.internalENFA.Reset()
return isMatch
}