Grammalecte  Check-in [86250e8e6c]

Overview
Comment:[graphspell] ibdawg: code cleaning, remove old code, useless compression versions
Downloads: Tarball | ZIP archive | SQL archive
Timelines: family | ancestors | descendants | both | graphspell | dict2
Files: files | file ages | folders
SHA3-256: 86250e8e6cc98d64ac880a7d26c35ce787811fc88e9f19d72a9afed0ad538676
User & Date: olr on 2020-11-04 12:02:12
Other Links: branch diff | manifest | tags
Context
2020-11-04
12:21
[graphspell][py] ibdawg: remove binary dict support check-in: 866ec22f7d user: olr tags: graphspell, dict2
12:02
[graphspell] ibdawg: code cleaning, remove old code, useless compression versions check-in: 86250e8e6c user: olr tags: graphspell, dict2
11:37
[build][graphspell][lo] dictionary: drop support for binary file -> use JSON check-in: 05fb167483 user: olr tags: build, lo, graphspell, dict2
Changes

Modified graphspell-js/dawg.js from [525275df92] to [bb21108d9e].

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                    }
                }
            }
        }
    }

    // BINARY CONVERSION
    createBinaryJSON (nCompressionMethod) {
        console.log("Write DAWG as an indexable binary dictionary [method: "+nCompressionMethod+"]");
    createBinaryJSON (nCompressionMethod=1) {
        console.log("Write DAWG as an indexable binary dictionary");
        if (nCompressionMethod == 1) {
            this.nBytesArc = Math.floor( (this.nArcVal.toString(2).length + 2) / 8 ) + 1;     // We add 2 bits. See DawgNode.convToBytes1()
            this.nBytesOffset = 0;
            this._calcNumBytesNodeAddress();
            this._calcNodesAddress1();
        this.nBytesArc = Math.floor( (this.nArcVal.toString(2).length + 2) / 8 ) + 1;     // We add 2 bits. See DawgNode.convToBytes()
        this.nBytesOffset = 0;
        this._calcNumBytesNodeAddress();
        this._calcNodesAddress();
        } else {
            console.log("Error: unknown compression method");
        }
        console.log("Arc values (chars, affixes and tags): " + this.nArcVal);
        console.log("Arc size: "+this.nBytesArc+" bytes, Address size: "+this.nBytesNodeAddress+" bytes");
        console.log("-> " + this.nBytesArc+this.nBytesNodeAddress + " * " + this.nArc + " = " + (this.nBytesArc+this.nBytesNodeAddress)*this.nArc + " bytes");
        return this._createJSON(nCompressionMethod);
    }

    _calcNumBytesNodeAddress () {
        // how many bytes needed to store all nodes/arcs in the binary dictionary
        this.nBytesNodeAddress = 1;
        while (((this.nBytesArc + this.nBytesNodeAddress) * this.nArc) > (2 ** (this.nBytesNodeAddress * 8))) {
            this.nBytesNodeAddress += 1;
        }
    }

    _calcNodesAddress1 () {
    _calcNodesAddress () {
        let nBytesNode = this.nBytesArc + this.nBytesNodeAddress;
        let iAddr = this.oRoot.arcs.size * nBytesNode;
        for (let oNode of this.dMinimizedNodes.values()) {
            oNode.addr = iAddr;
            iAddr += Math.max(oNode.arcs.size, 1) * nBytesNode;
        }
    }

    _createJSON (nCompressionMethod) {
    _createJSON (nCompressionMethod=1) {
        let sByDic = "";
        if (nCompressionMethod == 1) {
            sByDic = this.oRoot.convToBytes1(this.nBytesArc, this.nBytesNodeAddress);
            for (let oNode of this.dMinimizedNodes.values()) {
                sByDic += oNode.convToBytes1(this.nBytesArc, this.nBytesNodeAddress);
        let sByDic = this.oRoot.convToBytes(this.nBytesArc, this.nBytesNodeAddress);
        for (let oNode of this.dMinimizedNodes.values()) {
            sByDic += oNode.convToBytes(this.nBytesArc, this.nBytesNodeAddress);
            }
        }
        let oJSON = {
            "sHeader": "/grammalecte-fsa/",
            "sLangCode": this.sLangCode,
            "sLangName": this.sLangName,
            "sDicName": this.sDicName,
            "sDescription": this.sDescription,
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            for (let oNode of this.arcs.values()) {
                oNode.display(nTab+1, lArcVal, bRecur);
            }
        }
    }

    // VERSION 1 =====================================================================================================
    convToBytes1 (nBytesArc, nBytesNodeAddress) {
    convToBytes (nBytesArc, nBytesNodeAddress) {
        /*
            Node scheme:
            - Arc length is defined by nBytesArc
            - Address length is defined by nBytesNodeAddress

            |                Arc                |                         Address of next node                          |
            |                                   |                                                                       |

Modified graphspell/dawg.py from [c083d6a347] to [8c6420c0dc].

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                sEntry = sWord + "\t" + self.funcStemming(sWord, self.lArcVal[nVal])
                for nMorphVal, _ in oNextNode.arcs.items():
                    if not zPattern or zPattern.search(self.lArcVal[nMorphVal]):
                        yield sEntry + "\t" + self.lArcVal[nMorphVal]


    # BINARY CONVERSION
    def _calculateBinary (self, nCompressionMethod):
        print(" > Write DAWG as an indexable binary dictionary [method: %d]" % nCompressionMethod)
    def _calculateBinary (self, nCompressionMethod=1):
        print(" > Write DAWG as an indexable binary dictionary")
        if nCompressionMethod == 1:
            self.nBytesArc = ( (self.nArcVal.bit_length() + 2) // 8 ) + 1   # We add 2 bits. See DawgNode.convToBytes1()
            self.nBytesOffset = 0
            self._calcNumBytesNodeAddress()
            self._calcNodesAddress1()
        self.nBytesArc = ( (self.nArcVal.bit_length() + 2) // 8 ) + 1   # We add 2 bits. See DawgNode.convToBytes()
        self.nBytesOffset = 0
        self._calcNumBytesNodeAddress()
        self._calcNodesAddress()
        elif nCompressionMethod == 2:
            self.nBytesArc = ( (self.nArcVal.bit_length() + 3) // 8 ) + 1   # We add 3 bits. See DawgNode.convToBytes2()
            self.nBytesOffset = 0
            self._calcNumBytesNodeAddress()
            self._calcNodesAddress2()
        elif nCompressionMethod == 3:
            self.nBytesArc = ( (self.nArcVal.bit_length() + 3) // 8 ) + 1   # We add 3 bits. See DawgNode.convToBytes3()
            self.nBytesOffset = 1
            self.nMaxOffset = (2 ** (self.nBytesOffset * 8)) - 1
            self._calcNumBytesNodeAddress()
            self._calcNodesAddress3()
        else:
            print(" # Error: unknown compression method")
        print("   Arc values (chars, affixes and tags): {}  ->  {} bytes".format( self.nArcVal, len("\t".join(self.lArcVal).encode("utf-8")) ))
        print("   Arc size: {} bytes, Address size: {} bytes   ->   {} * {} = {} bytes".format( self.nBytesArc, self.nBytesNodeAddress, \
                                                                                                self.nBytesArc+self.nBytesNodeAddress, self.nArc, \
                                                                                                (self.nBytesArc+self.nBytesNodeAddress)*self.nArc ))

    def _calcNumBytesNodeAddress (self):
        "how many bytes needed to store all nodes/arcs in the binary dictionary"
        self.nBytesNodeAddress = 1
        while ((self.nBytesArc + self.nBytesNodeAddress) * self.nArc) > (2 ** (self.nBytesNodeAddress * 8)):
            self.nBytesNodeAddress += 1

    def _calcNodesAddress1 (self):
    def _calcNodesAddress (self):
        nBytesNode = self.nBytesArc + self.nBytesNodeAddress
        iAddr = len(self.oRoot.arcs) * nBytesNode
        for oNode in self.lMinimizedNodes:
            oNode.addr = iAddr
            iAddr += max(len(oNode.arcs), 1) * nBytesNode

    def _calcNodesAddress2 (self):
        nBytesNode = self.nBytesArc + self.nBytesNodeAddress
        iAddr = len(self.oRoot.arcs) * nBytesNode
        for oNode in self.lSortedNodes:
            oNode.addr = iAddr
            iAddr += max(len(oNode.arcs), 1) * nBytesNode
            for oNextNode in oNode.arcs.values():
                if (oNode.pos + 1) == oNextNode.pos:
                    iAddr -= self.nBytesNodeAddress
                    #break

    def _calcNodesAddress3 (self):
        nBytesNode = self.nBytesArc + self.nBytesNodeAddress
        # theorical nodes size if only addresses and no offset
        self.oRoot.size = len(self.oRoot.arcs) * nBytesNode
        for oNode in self.lSortedNodes:
            oNode.size = max(len(oNode.arcs), 1) * nBytesNode
        # rewind and calculate dropdown from the end, several times
        nDiff = self.nBytesNodeAddress - self.nBytesOffset
        bEnd = False
        while not bEnd:
            bEnd = True
            # recalculate addresses
            iAddr = self.oRoot.size
            for oNode in self.lSortedNodes:
                oNode.addr = iAddr
                iAddr += oNode.size
            # rewind and calculate dropdown from the end, several times
            for i in range(self.nNode-1, -1, -1):
                nSize = max(len(self.lSortedNodes[i].arcs), 1) * nBytesNode
                for oNextNode in self.lSortedNodes[i].arcs.values():
                    if 1 < (oNextNode.addr - self.lSortedNodes[i].addr) < self.nMaxOffset:
                        nSize -= nDiff
                if self.lSortedNodes[i].size != nSize:
                    self.lSortedNodes[i].size = nSize
                    bEnd = False

    def getBinaryAsJSON (self, nCompressionMethod=1, bBinaryDictAsHexString=True):
        "return a JSON string containing all necessary data of the dictionary (compressed as a binary string)"
        self._calculateBinary(nCompressionMethod)
        byDic = b""
        if nCompressionMethod == 1:
            byDic = self.oRoot.convToBytes1(self.nBytesArc, self.nBytesNodeAddress)
            for oNode in self.lMinimizedNodes:
                byDic += oNode.convToBytes1(self.nBytesArc, self.nBytesNodeAddress)
        byDic = self.oRoot.convToBytes(self.nBytesArc, self.nBytesNodeAddress)
        for oNode in self.lMinimizedNodes:
            byDic += oNode.convToBytes(self.nBytesArc, self.nBytesNodeAddress)
        elif nCompressionMethod == 2:
            byDic = self.oRoot.convToBytes2(self.nBytesArc, self.nBytesNodeAddress)
            for oNode in self.lSortedNodes:
                byDic += oNode.convToBytes2(self.nBytesArc, self.nBytesNodeAddress)
        elif nCompressionMethod == 3:
            byDic = self.oRoot.convToBytes3(self.nBytesArc, self.nBytesNodeAddress, self.nBytesOffset)
            for oNode in self.lSortedNodes:
                byDic += oNode.convToBytes3(self.nBytesArc, self.nBytesNodeAddress, self.nBytesOffset)
        return {
            "sHeader": "/grammalecte-fsa/",
            "sLangCode": self.sLangCode,
            "sLangName": self.sLangName,
            "sDicName": self.sDicName,
            "sDescription": self.sDescription,
            "sFileName": self.sFileName,
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        with open(spfDst, "w", encoding="utf-8", newline="\n") as hDst:
            if bInJSModule:
                hDst.write('// JavaScript\n// Generated data (do not edit)\n\n"use strict";\n\nconst dictionary = ')
            hDst.write( json.dumps(self.getBinaryAsJSON(nCompressionMethod, bBinaryDictAsHexString), ensure_ascii=False) )
            if bInJSModule:
                hDst.write(";\n\nexports.dictionary = dictionary;\n")

    def writeBinary (self, sPathFile, nCompressionMethod, bDebug=False):
        """
        Save as a binary file.

        Format of the binary indexable dictionary:
        Each section is separated with 4 bytes of \0

        - Section Header:
            /grammalecte-fsa/[compression method]
                * compression method is an ASCII string

        - Section Informations:
            /[lang code]
            /[lang name]
            /[dictionary name]
            /[date creation]
            /[number of chars]
            /[number of bytes for each arc]
            /[number of bytes for each address node]
            /[number of entries]
            /[number of nodes]
            /[number of arcs]
            /[number of affixes]
                * each field is a ASCII string
            /[stemming code]
                * "S" means stems are generated by /suffix_code/,
                  "A" means they are generated by /affix_code/
                  See defineSuffixCode() and defineAffixCode() for details.
                  "N" means no stemming

        - Section Values:
                * a list of strings encoded in binary from utf-8, each value separated with a tabulation

        - Section Word Graph (nodes / arcs)
                * A list of nodes which are a list of arcs with an address of the next node.
                  See DawgNode.convToBytes() for details.

        - Section 2grams:
                * A list of 2grams (as strings: 2 chars) encoded in binary from utf-8, each value separated with a tabulation
        """
        self._calculateBinary(nCompressionMethod)
        if not sPathFile.endswith(".bdic"):
            sPathFile += "."+str(nCompressionMethod)+".bdic"
        with open(sPathFile, 'wb') as hDst:
            # header
            hDst.write("/grammalecte-fsa/{}/".format(nCompressionMethod).encode("utf-8"))
            hDst.write(b"\0\0\0\0")
            # infos
            sInfo = "{}//{}//{}//{}//{}//{}//{}//{}//{}//{}//{}//{}//{}".format(self.sLangCode, self.sLangName, self.sDicName, self.sDescription, self._getDate(), \
                                                                                self.nChar, self.nBytesArc, self.nBytesNodeAddress, \
                                                                                self.nEntry, self.nNode, self.nArc, self.nAff, self.cStemming)
            hDst.write(sInfo.encode("utf-8"))
            hDst.write(b"\0\0\0\0")
            # lArcVal
            hDst.write("\t".join(self.lArcVal).encode("utf-8"))
            hDst.write(b"\0\0\0\0")
            # 2grams
            hDst.write("\t".join(self.a2grams).encode("utf-8"))
            hDst.write(b"\0\0\0\0")
            # DAWG: nodes / arcs
            if nCompressionMethod == 1:
                hDst.write(self.oRoot.convToBytes1(self.nBytesArc, self.nBytesNodeAddress))
                for oNode in self.lMinimizedNodes:
                    hDst.write(oNode.convToBytes1(self.nBytesArc, self.nBytesNodeAddress))
            elif nCompressionMethod == 2:
                hDst.write(self.oRoot.convToBytes2(self.nBytesArc, self.nBytesNodeAddress))
                for oNode in self.lSortedNodes:
                    hDst.write(oNode.convToBytes2(self.nBytesArc, self.nBytesNodeAddress))
            elif nCompressionMethod == 3:
                hDst.write(self.oRoot.convToBytes3(self.nBytesArc, self.nBytesNodeAddress, self.nBytesOffset))
                for oNode in self.lSortedNodes:
                    hDst.write(oNode.convToBytes3(self.nBytesArc, self.nBytesNodeAddress, self.nBytesOffset))
        if bDebug:
            self._writeNodes(sPathFile, nCompressionMethod)

    def _getDate (self):
        return time.strftime("%Y-%m-%d %H:%M:%S")

    def _writeNodes (self, sPathFile, nCompressionMethod):
    def _writeNodes (self, sPathFile, nCompressionMethod=1):
        "for debugging only"
        print(" > Write nodes")
        with open(sPathFile+".nodes."+str(nCompressionMethod)+".txt", 'w', encoding='utf-8', newline="\n") as hDst:
            if nCompressionMethod == 1:
                hDst.write(self.oRoot.getTxtRepr1(self.nBytesArc, self.lArcVal)+"\n")
                #hDst.write( ''.join( [ "%02X " %  z  for z in self.oRoot.convToBytes1(self.nBytesArc, self.nBytesNodeAddress) ] ).strip() )
                for oNode in self.lMinimizedNodes:
                    hDst.write(oNode.getTxtRepr1(self.nBytesArc, self.lArcVal)+"\n")
            hDst.write(self.oRoot.getTxtRepr(self.nBytesArc, self.lArcVal)+"\n")
            #hDst.write( ''.join( [ "%02X " %  z  for z in self.oRoot.convToBytes(self.nBytesArc, self.nBytesNodeAddress) ] ).strip() )
            for oNode in self.lMinimizedNodes:
                hDst.write(oNode.getTxtRepr(self.nBytesArc, self.lArcVal)+"\n")
            if nCompressionMethod == 2:
                hDst.write(self.oRoot.getTxtRepr2(self.nBytesArc, self.lArcVal)+"\n")
                for oNode in self.lSortedNodes:
                    hDst.write(oNode.getTxtRepr2(self.nBytesArc, self.lArcVal)+"\n")
            if nCompressionMethod == 3:
                hDst.write(self.oRoot.getTxtRepr3(self.nBytesArc, self.nBytesOffset, self.lArcVal)+"\n")
                #hDst.write( ''.join( [ "%02X " %  z  for z in self.oRoot.convToBytes3(self.nBytesArc, self.nBytesNodeAddress, self.nBytesOffset) ] ).strip() )
                for oNode in self.lSortedNodes:
                    hDst.write(oNode.getTxtRepr3(self.nBytesArc, self.nBytesOffset, self.lArcVal)+"\n")



class DawgNode:
    """Node of the word graph"""

    NextId = 0
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        self.arcs = collections.OrderedDict(sorted(self.arcs.items(), key=lambda t: dValOccur.get(t[0], 0), reverse=True))

    def sortArcs2 (self, dValOccur, lArcVal):
        "sort arcs of each node depending on the previous char"
        self.arcs = collections.OrderedDict(sorted(self.arcs.items(), key=lambda t: dValOccur.get(lArcVal[t[0]], 0), reverse=True))

    # VERSION 1 =====================================================================================================
    def convToBytes1 (self, nBytesArc, nBytesNodeAddress):
    def convToBytes (self, nBytesArc, nBytesNodeAddress):
        """
        Convert to bytes (method 1).

        Node scheme:
        - Arc length is defined by nBytesArc
        - Address length is defined by nBytesNodeAddress

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                val = val | nFinalNodeMask
            if i == nArc:
                val = val | nFinalArcMask
            by += val.to_bytes(nBytesArc, byteorder='big')
            by += self.arcs[arc].addr.to_bytes(nBytesNodeAddress, byteorder='big')
        return by

    def getTxtRepr1 (self, nBytesArc, lVal):
    def getTxtRepr (self, nBytesArc, lVal):
        "return representation as string of node (method 1)"
        nArc = len(self.arcs)
        nFinalNodeMask = 1 << ((nBytesArc*8)-1)
        nFinalArcMask = 1 << ((nBytesArc*8)-2)
        s = "i{:_>10} -- #{:_>10}\n".format(self.i, self.addr)
        if not nArc:
            s += "  {:<20}  {:0>16}  i{:_>10}   #{:_>10}\n".format("", bin(nFinalNodeMask | nFinalArcMask)[2:], "0", "0")
            return s
        for i, arc in enumerate(self.arcs, 1):
            val = arc
            if i == 1 and self.final:
                val = val | nFinalNodeMask
            if i == nArc:
                val = val | nFinalArcMask
            s += "  {:<20}  {:0>16}  i{:_>10}   #{:_>10}\n".format(lVal[arc], bin(val)[2:], self.arcs[arc].i, self.arcs[arc].addr)
        return s

    # VERSION 2 =====================================================================================================
    def convToBytes2 (self, nBytesArc, nBytesNodeAddress):
        """
        Convert to bytes (method 2).

        Node scheme:
        - Arc length is defined by nBytesArc
        - Address length is defined by nBytesNodeAddress

        |                Arc                |                         Address of next node                          |
        |                                   |                                                                       |
         ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓
         ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃
         ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛
         [...]
         ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓
         ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃
         ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛
          ^ ^ ^
          ┃ ┃ ┃
          ┃ ┃ ┗━━ if 1, caution, no address: next node is the following node
          ┃ ┗━━━━ if 1, last arc of this node
          ┗━━━━━━ if 1, this node is final (only on the first arc)
        """
        nArc = len(self.arcs)
        nFinalNodeMask = 1 << ((nBytesArc*8)-1)
        nFinalArcMask = 1 << ((nBytesArc*8)-2)
        nNextNodeMask = 1 << ((nBytesArc*8)-3)
        if not nArc:
            val = nFinalNodeMask | nFinalArcMask
            by = val.to_bytes(nBytesArc, byteorder='big')
            by += (0).to_bytes(nBytesNodeAddress, byteorder='big')
            return by
        by = b""
        for i, arc in enumerate(self.arcs, 1):
            val = arc
            if i == 1 and self.final:
                val = val | nFinalNodeMask
            if i == nArc:
                val = val | nFinalArcMask
            if (self.pos + 1) == self.arcs[arc].pos and self.i != 0:
                val = val | nNextNodeMask
                by += val.to_bytes(nBytesArc, byteorder='big')
            else:
                by += val.to_bytes(nBytesArc, byteorder='big')
                by += self.arcs[arc].addr.to_bytes(nBytesNodeAddress, byteorder='big')
        return by

    def getTxtRepr2 (self, nBytesArc, lVal):
        "return representation as string of node (method 2)"
        nArc = len(self.arcs)
        nFinalNodeMask = 1 << ((nBytesArc*8)-1)
        nFinalArcMask = 1 << ((nBytesArc*8)-2)
        nNextNodeMask = 1 << ((nBytesArc*8)-3)
        s = "i{:_>10} -- #{:_>10}\n".format(self.i, self.addr)
        if not nArc:
            s += "  {:<20}  {:0>16}  i{:_>10}   #{:_>10}\n".format("", bin(nFinalNodeMask | nFinalArcMask)[2:], "0", "0")
            return s
        for i, arc in enumerate(self.arcs, 1):
            val = arc
            if i == 1 and self.final:
                val = val | nFinalNodeMask
            if i == nArc:
                val = val | nFinalArcMask
            if (self.pos + 1) == self.arcs[arc].pos  and self.i != 0:
                val = val | nNextNodeMask
                s += "  {:<20}  {:0>16}\n".format(lVal[arc], bin(val)[2:])
            else:
                s += "  {:<20}  {:0>16}  i{:_>10}   #{:_>10}\n".format(lVal[arc], bin(val)[2:], self.arcs[arc].i, self.arcs[arc].addr)
        return s

    # VERSION 3 =====================================================================================================
    def convToBytes3 (self, nBytesArc, nBytesNodeAddress, nBytesOffset):
        """
        Convert to bytes (method 3).

        Node scheme:
        - Arc length is defined by nBytesArc
        - Address length is defined by nBytesNodeAddress
        - Offset length is defined by nBytesOffset

        |                Arc                |            Address of next node  or  offset to next node              |
        |                                   |                                                                       |
         ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓
         ┃1┃0┃0┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃
         ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛
         [...]
         ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓
         ┃0┃0┃1┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃     Offsets are shorter than addresses
         ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛
         ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓ ┏━━━━━━━━━━━━━━━┓
         ┃0┃1┃0┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃ ┃
         ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛ ┗━━━━━━━━━━━━━━━┛

          ^ ^ ^
          ┃ ┃ ┃
          ┃ ┃ ┗━━ if 1, offset instead of address of next node
          ┃ ┗━━━━ if 1, last arc of this node
          ┗━━━━━━ if 1, this node is final (only on the first arc)
        """
        nArc = len(self.arcs)
        nFinalNodeMask = 1 << ((nBytesArc*8)-1)
        nFinalArcMask = 1 << ((nBytesArc*8)-2)
        nNextNodeMask = 1 << ((nBytesArc*8)-3)
        nMaxOffset = (2 ** (nBytesOffset * 8)) - 1
        if not nArc:
            val = nFinalNodeMask | nFinalArcMask
            by = val.to_bytes(nBytesArc, byteorder='big')
            by += (0).to_bytes(nBytesNodeAddress, byteorder='big')
            return by
        by = b""
        for i, arc in enumerate(self.arcs, 1):
            val = arc
            if i == 1 and self.final:
                val = val | nFinalNodeMask
            if i == nArc:
                val = val | nFinalArcMask
            if 1 < (self.arcs[arc].addr - self.addr) < nMaxOffset and self.i != 0:
                val = val | nNextNodeMask
                by += val.to_bytes(nBytesArc, byteorder='big')
                by += (self.arcs[arc].addr-self.addr).to_bytes(nBytesOffset, byteorder='big')
            else:
                by += val.to_bytes(nBytesArc, byteorder='big')
                by += self.arcs[arc].addr.to_bytes(nBytesNodeAddress, byteorder='big')
        return by

    def getTxtRepr3 (self, nBytesArc, nBytesOffset, lVal):
        "return representation as string of node (method 3)"
        nArc = len(self.arcs)
        nFinalNodeMask = 1 << ((nBytesArc*8)-1)
        nFinalArcMask = 1 << ((nBytesArc*8)-2)
        nNextNodeMask = 1 << ((nBytesArc*8)-3)
        nMaxOffset = (2 ** (nBytesOffset * 8)) - 1
        s = "i{:_>10} -- #{:_>10}  ({})\n".format(self.i, self.addr, self.size)
        if not nArc:
            s += "  {:<20}  {:0>16}  i{:_>10}   #{:_>10}\n".format("", bin(nFinalNodeMask | nFinalArcMask)[2:], "0", "0")
            return s
        for i, arc in enumerate(self.arcs, 1):
            val = arc
            if i == 1 and self.final:
                val = val | nFinalNodeMask
            if i == nArc:
                val = val | nFinalArcMask
            if 1 < (self.arcs[arc].addr - self.addr) < nMaxOffset and self.i != 0:
                val = val | nNextNodeMask
                s += "  {:<20}  {:0>16}  i{:_>10}   +{:_>10}\n".format(lVal[arc], bin(val)[2:], self.arcs[arc].i, self.arcs[arc].addr - self.addr)
            else:
                s += "  {:<20}  {:0>16}  i{:_>10}   #{:_>10}\n".format(lVal[arc], bin(val)[2:], self.arcs[arc].i, self.arcs[arc].addr)
        return s



# Another attempt to sort node arcs

_dCharOrder = {
    # key: previous char, value: dictionary of chars {c: nValue}
    "": {}