datokenizer.go

package datokenizer

/**
 * The file reader is basically a port of foma2js,
 * licensed under the Apache License, version 2,
 * and written by Mans Hulden.
 */

// The maximum number of states is 107.3741.823 (30bit),
// with a loadfactor of ~70, this means roughly 70 million
// states in the FSA, which is sufficient for the current
// job.

// TODO:
// - replace maxSize with the check value
// - Strip first state and make everything start with 0!

import (
	"bufio"
	"bytes"
	"compress/gzip"
	"encoding/binary"
	"fmt"
	"io"
	"os"
	"sort"
	"strconv"
	"strings"
	"unicode/utf8"

	"github.com/rs/zerolog/log"
)

const (
	PROPS             = 1
	SIGMA             = 2
	STATES            = 3
	NONE              = 4
	NEWLINE           = '\u000a'
	DEBUG             = false
	MAGIC             = "DATOK"
	VERSION           = uint16(1)
	leadingBit uint32 = 1 << 31
	restBit    uint32 = ^uint32(0) &^ (1 << 31)
)

var bo binary.ByteOrder = binary.LittleEndian

type mapping struct {
	source int
	target uint32
}

type edge struct {
	inSym    int
	outSym   int
	end      int
	nontoken bool
	tokenend bool
}

type Tokenizer struct {
	// sigma       map[rune]int
	sigmaRev    map[int]rune
	arcCount    int
	stateCount  int
	sigmaCount  int
	transitions []map[int]*edge

	// Special symbols in sigma
	epsilon  int
	unknown  int
	identity int
	final    int
}

type DaTokenizer struct {
	// sigmaRev map[int]rune
	sigma      map[rune]int
	maxSize    int
	loadFactor float64
	array      []uint32

	// Special symbols in sigma
	epsilon  int
	unknown  int
	identity int
	final    int
}

func LoadFomaFile(file string) *Tokenizer {
	f, err := os.Open(file)
	if err != nil {
		log.Error().Err(err)
		os.Exit(0)
	}
	defer f.Close()

	gz, err := gzip.NewReader(f)
	if err != nil {
		log.Error().Err(err)
		os.Exit(0)
	}
	defer gz.Close()

	return ParseFoma(gz)
}

func ParseFoma(ior io.Reader) *Tokenizer {
	r := bufio.NewReader(ior)

	tok := &Tokenizer{
		sigmaRev: make(map[int]rune),
		epsilon:  -1,
		unknown:  -1,
		identity: -1,
		final:    -1,
	}

	var state, inSym, outSym, end, final int

	mode := 0
	var elem []string
	var elemint [5]int

	for {
		line, err := r.ReadString('\n')
		if err != nil {
			if err == io.EOF {
				break
			}
			log.Error().Err(err)
			os.Exit(0)
		}
		if strings.HasPrefix(line, "##foma-net") {
			continue
		}
		if strings.HasPrefix(line, "##props##") {
			mode = PROPS
			continue
		}
		if strings.HasPrefix(line, "##states##") {
			mode = STATES

			// Adds a final transition symbol to sigma
			// written as '#' in Mizobuchi et al (2000)
			tok.sigmaCount++
			tok.final = tok.sigmaCount
			continue
		}
		if strings.HasPrefix(line, "##sigma##") {
			mode = SIGMA
			continue
		}
		if strings.HasPrefix(line, "##end##") {
			mode = NONE
			continue
		}

		switch mode {
		case PROPS:
			{
				elem = strings.Split(line, " ")
				/*
					fmt.Println("arity:            " + elem[0])
					fmt.Println("arccount:         " + elem[1])
					fmt.Println("statecount:       " + elem[2])
					fmt.Println("linecount:        " + elem[3])
					fmt.Println("finalcount:       " + elem[4])
					fmt.Println("pathcount:        " + elem[5])
					fmt.Println("is_deterministic: " + elem[6])
					fmt.Println("is_pruned:        " + elem[7])
					fmt.Println("is_minimized:     " + elem[8])
					fmt.Println("is_epsilon_free:  " + elem[9])
					fmt.Println("is_loop_free:     " + elem[10])
					fmt.Println("extras:           " + elem[11])
					fmt.Println("name:             " + elem[12])
				*/
				if elem[6] != "1" {
					log.Error().Msg("The FST needs to be deterministic")
					os.Exit(1)
				}
				if elem[9] != "1" {
					log.Error().Msg("The FST needs to be epsilon free")
					os.Exit(1)
				}

				elemint[0], err = strconv.Atoi(elem[1])
				if err != nil {
					log.Error().Msg("Can't read arccount")
					os.Exit(1)
				}
				tok.arcCount = elemint[0]

				// States start at 1 in Mizobuchi et al (2000),
				// as the state 0 is associated with a fail.
				// Initialize states and transitions
				elemint[0], err = strconv.Atoi(elem[2])
				if err != nil {
					log.Error().Msg("Can't read statecount")
					os.Exit(1)
				}
				tok.stateCount = elemint[0]
				tok.transitions = make([]map[int]*edge, elemint[0]+1)
				continue
			}
		case STATES:
			{
				elem = strings.Split(line[0:len(line)-1], " ")
				if elem[0] == "-1" {
					continue
				}
				elemint[0], err = strconv.Atoi(elem[0])
				if err != nil {
					break
				}

				if len(elem) > 1 {
					elemint[1], err = strconv.Atoi(elem[1])
					if err != nil {
						break
					}
					if len(elem) > 2 {
						elemint[2], err = strconv.Atoi(elem[2])
						if err != nil {
							break
						}
						if len(elem) > 3 {
							elemint[3], err = strconv.Atoi(elem[3])
							if err != nil {
								break
							}
							if len(elem) > 4 {
								elemint[4], err = strconv.Atoi(elem[4])
								if err != nil {
									break
								}
							}
						}
					}
				}

				switch len(elem) {
				case 5:
					{
						state = elemint[0]
						inSym = elemint[1]
						outSym = elemint[2]
						end = elemint[3]
						final = elemint[4]
					}
				case 4:
					{
						if elemint[1] == -1 {
							state = elemint[0]
							final = elemint[3]
						} else {
							state = elemint[0]
							inSym = elemint[1]
							end = elemint[2]
							final = elemint[3]
							outSym = inSym
						}
					}
				case 3:
					{
						inSym = elemint[0]
						outSym = elemint[1]
						end = elemint[2]
					}
				case 2:
					{
						inSym = elemint[0]
						end = elemint[1]
						outSym = inSym
					}
				}

				// While the states in foma start with 0, the states in the
				// Mizobuchi FSA start with one - so we increase every state by 1.

				nontoken := false
				tokenend := false

				if inSym != outSym {

					if tok.sigmaRev[outSym] == NEWLINE {
						tokenend = true
					} else if outSym == tok.epsilon {
						nontoken = true
					} else {
						log.Error().Msg(
							"Unsupported transition: " +
								strconv.Itoa(state) +
								" -> " + strconv.Itoa(end) +
								" (" +
								strconv.Itoa(inSym) +
								":" +
								strconv.Itoa(outSym) +
								") (" +
								string(tok.sigmaRev[inSym]) +
								":" +
								string(tok.sigmaRev[outSym]) +
								")")
						os.Exit(1)
					}

				} else if inSym == tok.epsilon {
					log.Error().Msg("Epsilon transitions not supported")
					os.Exit(1)
				}

				// This collects all edges until arrstate changes

				// TODO:
				//   if arrin == EPSILON && arrout == TOKENEND, mark state as newline
				//   if the next transition is the same, remove TOKENEND and add SENTENCEEND
				//   This requires to remove the transition alltogether and marks the state instead.

				// TODO:
				//   if arrout == EPSILON, mark the transition as NOTOKEN

				targetObj := &edge{
					inSym:    inSym,
					outSym:   outSym,
					end:      end + 1,
					tokenend: tokenend,
					nontoken: nontoken,
				}

				// Initialize outgoing states
				if tok.transitions[state+1] == nil {
					tok.transitions[state+1] = make(map[int]*edge)
				}

				// Ignore transitions with invalid symbols
				if inSym >= 0 {
					tok.transitions[state+1][inSym] = targetObj
				}

				// Add final transition
				if final == 1 {
					tok.transitions[state+1][tok.final] = &edge{}
				}

				if DEBUG {
					fmt.Println("Add",
						state+1, "->", end+1,
						"(",
						inSym,
						":",
						outSym,
						") (",
						string(tok.sigmaRev[inSym]),
						":",
						string(tok.sigmaRev[outSym]),
						")")
				}

				continue
			}
		case SIGMA:
			{
				elem = strings.SplitN(line[0:len(line)-1], " ", 2)

				// Turn string into sigma id
				number, err := strconv.Atoi(elem[0])

				if err != nil {
					log.Error().Err(err)
					os.Exit(0)
				}

				tok.sigmaCount = number

				var symbol rune

				// Read rune
				if utf8.RuneCountInString(elem[1]) == 1 {
					symbol = []rune(elem[1])[0]

					// Probably a MCS
				} else if utf8.RuneCountInString(elem[1]) > 1 {
					switch elem[1] {
					case "@_EPSILON_SYMBOL_@":
						{
							tok.epsilon = number
							continue
						}
					case "@_UNKNOWN_SYMBOL_@":
						{
							tok.unknown = number
							continue
						}

					case "@_IDENTITY_SYMBOL_@":
						{
							tok.identity = number
							continue
						}
					default:
						{
							log.Error().Msg("MCS not supported: " + line)
							os.Exit(1)
						}
					}

				} else { // Probably a new line symbol
					line, err = r.ReadString('\n')
					if err != nil {
						log.Error().Err(err)
						os.Exit(0)
					}
					if len(line) != 1 {
						log.Error().Msg("MCS not supported:" + line)
						os.Exit(0)
					}
					symbol = rune(NEWLINE)
				}

				tok.sigmaRev[number] = symbol
			}
		}
	}

	return tok
}

// Set alphabet A to the list of all symbols
// outgoing from s
func (tok *Tokenizer) get_set(s int, A *[]int) {
	for a := range tok.transitions[s] {
		*A = append(*A, a)
	}

	// Not required, but simplifies bug hunting
	sort.Ints(*A)
}

// Implementation of Mizobuchi et al (2000), p.128
func (tok *Tokenizer) ToDoubleArray() *DaTokenizer {

	dat := &DaTokenizer{
		sigma:      make(map[rune]int),
		loadFactor: -1,
		final:      tok.final,
		unknown:    tok.unknown,
		identity:   tok.identity,
		epsilon:    tok.epsilon,
	}

	for num, sym := range tok.sigmaRev {
		dat.sigma[sym] = num
	}

	mark := 0
	size := 0

	// Create a mapping from s to t
	table := make([]*mapping, tok.arcCount+1)

	table[size] = &mapping{source: 1, target: 1}
	size++

	// Allocate space for the outgoing symbol range
	A := make([]int, 0, tok.sigmaCount)

	for mark < size {
		s := table[mark].source // This is a state in Ms
		t := table[mark].target // This is a state in Mt
		mark++

		// Following the paper, here the state t can be remembered
		// in the set of states St
		A = A[:0]
		tok.get_set(s, &A)

		// Set base to the first free slot in the double array
		dat.setBase(t, dat.xCheck(A))

		// TODO:
		//   Sort the outgoing transitions based on the
		//   outdegree of .end

		// Iterate over all outgoing symbols
		for _, a := range A {

			if a != tok.final {

				// Aka g(s, a)
				s1 := tok.transitions[s][a].end

				// Store the transition
				t1 := dat.getBase(t) + uint32(a)
				dat.setCheck(t1, t)

				// Mark the state as being the target of a nontoken transition
				if tok.transitions[s][a].nontoken {
					dat.setNonToken(t1, true)
				}

				// Check for representative states
				r := in_table(s1, table, size)

				if r == 0 {
					// Remember the mapping
					table[size] = &mapping{source: s1, target: t1}
					size++
				} else {
					// Overwrite with the representative state
					dat.setBase(t1, r)
					dat.setSeparate(t1, true)
				}
			} else {
				// Store a final transition
				dat.setCheck(dat.getBase(t)+uint32(dat.final), t)
			}
		}
	}

	// Following Mizobuchi et al (2000) the size of the
	// FSA should be stored in check(1).
	dat.setSize(dat.maxSize + 1)
	dat.array = dat.array[:dat.maxSize+1]
	return dat
}

// Check the table if a mapping of s
// exists and return this as a representative.
// Currently iterates through the whole table
// in a bruteforce manner.
func in_table(s int, table []*mapping, size int) uint32 {
	for x := 0; x < size; x++ {
		if table[x].source == s {
			return table[x].target
		}
	}
	return 0
}

// Resize double array when necessary
func (dat *DaTokenizer) resize(l int) {
	// TODO:
	//   This is a bit too aggressive atm and should be calmed down.
	if len(dat.array) <= l {
		dat.array = append(dat.array, make([]uint32, l)...)
	}
}

// Set base value in double array
func (dat *DaTokenizer) setBase(p uint32, v uint32) {
	l := int(p*2 + 1)
	dat.resize(l)
	if dat.maxSize < l {
		dat.maxSize = l
	}
	dat.array[p*2] = v
}

// Returns true if a state is separate pointing to a representative
func (dat *DaTokenizer) isSeparate(p uint32) bool {
	return dat.array[p*2]&leadingBit != 0
}

// Mark a state as separate pointing to a representative
func (dat *DaTokenizer) setSeparate(p uint32, sep bool) {
	if sep {
		dat.array[p*2] |= leadingBit
	} else {
		dat.array[p*2] &= restBit
	}
}

// Returns true if a state is the target of a nontoken transition
func (dat *DaTokenizer) isNonToken(p uint32) bool {
	return dat.array[p*2+1]&leadingBit != 0
}

// Mark a state as being the target of a nontoken transition
func (dat *DaTokenizer) setNonToken(p uint32, sep bool) {
	if sep {
		dat.array[p*2+1] |= leadingBit
	} else {
		dat.array[p*2+1] &= restBit
	}
}

// Get base value in double array
func (dat *DaTokenizer) getBase(p uint32) uint32 {
	if int(p*2) >= len(dat.array) {
		return 0
	}
	return dat.array[p*2] & restBit
}

// Set check value in double array
func (dat *DaTokenizer) setCheck(p uint32, v uint32) {
	l := int(p*2 + 1)
	dat.resize(l)
	if dat.maxSize < l {
		dat.maxSize = l
	}
	dat.array[(p*2)+1] = v
}

// Get check value in double array
func (dat *DaTokenizer) getCheck(p uint32) uint32 {
	if int((p*2)+1) >= len(dat.array) {
		return 0
	}
	return dat.array[(p*2)+1] & restBit
}

// Set size of double array
func (dat *DaTokenizer) setSize(v int) {
	dat.setCheck(1, uint32(v))
}

// Get size of double array
func (dat *DaTokenizer) GetSize() int {
	return int(dat.getCheck(1))
}

// Based on Mizobuchi et al (2000), p. 124
// This iterates for every state through the complete double array
// structure until it finds a gap that fits all outgoing transitions
// of the state. This is extremely slow, but is only necessary in the
// construction phase of the tokenizer.
func (dat *DaTokenizer) xCheck(symbols []int) uint32 {

	// Start at the first entry of the double array list
	base := uint32(1)

OVERLAP:

	// Resize the array if necessary
	dat.resize((int(base) + dat.final) * 2)
	for _, a := range symbols {
		if dat.getCheck(base+uint32(a)) != 0 {
			base++
			goto OVERLAP
		}
	}
	return base
}

// LoadFactor as defined in Kanda et al (2018),
// i.e. the proportion of non-empty elements to all elements.
func (dat *DaTokenizer) LoadFactor() float64 {

	// Cache the loadfactor
	if dat.loadFactor >= 0 {
		return dat.loadFactor
	}
	nonEmpty := 0
	all := len(dat.array) / 2
	for x := 1; x <= len(dat.array); x = x + 2 {
		if dat.array[x] != 0 {
			nonEmpty++
		}
	}
	dat.loadFactor = float64(nonEmpty) / float64(all) * 100
	return dat.loadFactor
}

// WriteTo stores the double array data in an io.Writer.
func (dat *DaTokenizer) WriteTo(w io.Writer) (n int64, err error) {

	// Store magical header
	all, err := w.Write([]byte(MAGIC))
	if err != nil {
		log.Error().Msg("Unable to write data")
	}

	// Get sigma as a list
	sigmalist := make([]rune, len(dat.sigma)+16)
	max := 0
	for sym, num := range dat.sigma {
		sigmalist[num] = sym
		if num > max {
			max = num
		}
	}

	sigmalist = sigmalist[:max+1]

	buf := make([]byte, 0, 12)
	bo.PutUint16(buf[0:2], VERSION)
	bo.PutUint16(buf[2:4], uint16(dat.epsilon))
	bo.PutUint16(buf[4:6], uint16(dat.unknown))
	bo.PutUint16(buf[6:8], uint16(dat.identity))
	bo.PutUint16(buf[8:10], uint16(dat.final))
	bo.PutUint16(buf[10:12], uint16(len(sigmalist)))
	more, err := w.Write(buf[0:12])
	if err != nil {
		log.Error().Msg("Unable to write data")
	}

	all += more

	wbuf := bytes.NewBuffer(nil)
	wbufWrap := bufio.NewWriter(wbuf)

	// Write sigma
	for _, sym := range sigmalist {
		more, err = wbufWrap.WriteRune(sym)
		if err != nil {
			log.Error().Msg("Unable to write data")
		}
		all += more
	}
	wbufWrap.Flush()
	more, err = w.Write(wbuf.Bytes())
	if err != nil {
		log.Error().Msg("Unable to write data")
	}
	all += more

	// Test marker - could be checksum
	more, err = w.Write([]byte("T"))
	if err != nil {
		log.Error().Msg("Unable to write data")
	}
	all += more

	wbuf.Reset()

	for _, d := range dat.array {
		bo.PutUint32(buf[0:4], d)
		more, err := w.Write(buf[0:4])
		if err != nil {
			log.Error().Msg("Unable to write data")
		}
		all += more
	}

	return int64(all), err
}

// Match an input string against the double array
// FSA.
//
// Based on Mizobuchi et al (2000), p. 129,
// with additional support for IDENTITY, UNKNOWN
// and EPSILON transitions.
func (dat *DaTokenizer) Match(input string) bool {
	var a int
	var tu uint32
	var ok bool

	t := uint32(1) // Initial state
	chars := []rune(input)
	i := 0

	for i < len(chars) {
		a, ok = dat.sigma[chars[i]]

		// Support identity symbol if character is not in sigma
		if !ok && dat.identity != -1 {
			if DEBUG {
				fmt.Println("IDENTITY symbol", string(chars[i]), "->", dat.identity)
			}
			a = dat.identity
		} else if DEBUG {
			fmt.Println("Sigma transition is okay for [", string(chars[i]), "]")
		}
		tu = t
	CHECK:
		t = dat.getBase(tu) + uint32(a)

		// Check if the transition is valid according to the double array
		if t > dat.getCheck(1) || dat.getCheck(t) != tu {

			if DEBUG {
				fmt.Println("Match is not fine!", t, "and", dat.getCheck(t), "vs", tu)
			}

			if !ok && a == dat.identity {
				// Try again with unknown symbol, in case identity failed
				if DEBUG {
					fmt.Println("UNKNOWN symbol", string(chars[i]), "->", dat.unknown)
				}
				a = dat.unknown

			} else if a != dat.epsilon {
				// Try again with epsilon symbol, in case everything else failed
				if DEBUG {
					fmt.Println("EPSILON symbol", string(chars[i]), "->", dat.epsilon)
				}
				a = dat.epsilon
			} else {
				break
			}
			goto CHECK
		} else if dat.isSeparate(t) {
			// Move to representative state
			t = dat.getBase(t)
		}

		// Transition is fine
		if a != dat.epsilon {
			// Character consumed
			i++
		}

		// TODO:
		//   Prevent endless epsilon loops!
	}

	if i != len(chars) {
		if DEBUG {
			fmt.Println("Not at the end")
		}
		return false
	}

FINALCHECK:

	// Automaton is in a final state
	if dat.getCheck(dat.getBase(t)+uint32(dat.final)) == t {
		return true
	}

	// Check epsilon transitions until a final state is reached
	tu = t
	t = dat.getBase(tu) + uint32(dat.epsilon)

	// Epsilon transition failed
	if t > dat.getCheck(1) || dat.getCheck(t) != tu {
		if DEBUG {
			fmt.Println("Match is not fine!", t, "and", dat.getCheck(t), "vs", tu)
		}
		return false

	} else if dat.isSeparate(t) {
		// Move to representative state
		t = dat.getBase(t)
	}

	goto FINALCHECK
}

// Match an input string against the double array
// FSA.
//
// Based on Match with additional support
// for NONTOKEN handling
func (dat *DaTokenizer) Transduce(input string) bool {
	var a int
	var tu uint32
	var ok, nontoken bool

	t := uint32(1) // Initial state
	chars := []rune(input)
	i := 0

	for i < len(chars) {
		a, ok = dat.sigma[chars[i]]

		// Support identity symbol if character is not in sigma
		if !ok && dat.identity != -1 {
			if DEBUG {
				fmt.Println("IDENTITY symbol", string(chars[i]), "->", dat.identity)
			}
			a = dat.identity
		} else if DEBUG {
			fmt.Println("Sigma transition is okay for [", string(chars[i]), "]")
		}
		tu = t
	CHECK:
		nontoken = false
		t = dat.getBase(tu) + uint32(a)

		// Check if the transition is valid according to the double array
		if t > dat.getCheck(1) || dat.getCheck(t) != tu {

			if DEBUG {
				fmt.Println("Match is not fine!", t, "and", dat.getCheck(t), "vs", tu)
			}

			if !ok && a == dat.identity {
				// Try again with unknown symbol, in case identity failed
				if DEBUG {
					fmt.Println("UNKNOWN symbol", string(chars[i]), "->", dat.unknown)
				}
				a = dat.unknown

			} else if a != dat.epsilon {
				// Try again with epsilon symbol, in case everything else failed
				if DEBUG {
					fmt.Println("EPSILON symbol", string(chars[i]), "->", dat.epsilon)
				}
				a = dat.epsilon
			} else {
				break
			}
			goto CHECK
		} else if dat.isSeparate(t) {
			// Move to representative state
			nontoken = dat.isNonToken(t)

			t = dat.getBase(t)
		} else {
			nontoken = dat.isNonToken(t)
		}

		// Transition is fine
		if a != dat.epsilon {
			// Character consumed

			if !nontoken {
				fmt.Print("[", string(chars[i]), "]")
			}
			i++
		}

		if nontoken {
			fmt.Print("<|>")
		}

		// TODO:
		//   Prevent endless epsilon loops!
	}

	if i != len(chars) {
		if DEBUG {
			fmt.Println("Not at the end")
		}
		return false
	}

FINALCHECK:

	// Automaton is in a final state
	if dat.getCheck(dat.getBase(t)+uint32(dat.final)) == t {
		if dat.isNonToken(t) {
			fmt.Print("<|>")
		}
		return true
	}

	// Check epsilon transitions until a final state is reached
	tu = t
	t = dat.getBase(tu) + uint32(dat.epsilon)

	// Epsilon transition failed
	if t > dat.getCheck(1) || dat.getCheck(t) != tu {
		if DEBUG {
			fmt.Println("Match is not fine!", t, "and", dat.getCheck(t), "vs", tu)
		}
		return false

	} else if dat.isSeparate(t) {
		nontoken = dat.isNonToken(t)
		// Move to representative state
		t = dat.getBase(t)
	} else {
		nontoken = dat.isNonToken(t)
	}

	if nontoken {
		fmt.Print("<|>")
	}

	goto FINALCHECK
}