ha.mr/compress.js

/**
 * @file Implements link compression/decompression.
 */
const VERSION = 0;

// Growing subcategories of the full URL alphabet
// Each also includes the hyphen and underscore as common separators
const subalphabets = [
  // Numbers only
  "0123456789-_",
  // Uppercase only
  "ABCDEFGHIJKLMNOPQRSTUVWXYZ-_",
  // Lowercase only
  "abcdefghijklmnopqrstuvwxyz-_",
  // Uppercase and numbers
  "ABCDEFGHIJKLMNOPQRSTUVWXYZ0123456789-_",
  // Lowercase and numbers
  "abcdefghijklmnopqrstuvwxyz0123456789-_",
  // Uppercase and lowercase
  "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz-_",
  // Upercase, lowercase and numbers (base64)
  "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789-_",
  // Full alphabet without slash character
  "!#$&'()*+,-.0123456789:;=?~@ABCDEFGHIJKLMNOPQRSTUVWXYZ[]_abcdefghijklmnopqrstuvwxyz%"
];

/**
 * Huffman-coded dictionaries of URL characters/parts.
 * Built using data from:
 * - https://github.com/smythp/reddit_links_dataset
 * - https://github.com/ada-url/url-dataset
*/
const tldEncode = 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const domainEncode = {"0":"1100111000","1":"1100111100","2":"1100111101","3":"0010011100","4":"00100111101","5":"11001110010","6":"00100111011","7":"11001110011","8":"00100111010","9":"00100111100","l":"0000","c":"0001","v":"001000","-":"0010010","x":"00100110","q":"0010011111","g":"00101","n":"0011","p":"01000","y":"010010","w":"010011","i":"0101","t":"0110","r":"0111","s":"1000","d":"10010","m":"10011","END":"1010","o":"1011","u":"11000","f":"110010","k":"1100110","z":"110011101","j":"110011111","a":"1101","e":"1110",".":"11110","h":"111110","b":"111111"};
const pathEncode = {"0":"011011","1":"011001","2":"1111000","3":"1010011","4":"1010010","5":"1001011","6":"1001010","7":"1000101","8":"1000110","9":"0110001","o":"0000","/":"0001","s":"0010","&":"00110000","R":"00110001","?":"0011001","k":"001101","d":"00111","t":"0100","i":"0101",",":"01100000000","'":"0110000000100","]":"0110000000101","!":"011000000011",":":"0110000001","W":"011000001","q":"01100001","b":"011010","a":"0111","l":"10000","U":"100010000","L":"100010001","A":"10001001",".":"1000111","f":"100100","c":"10011","=":"1010000","G":"101000100","E":"101000101","I":"101000110","F":"101000111","m":"10101","-":"10110","w":"101110","X":"1011110000","+":"1011110001","D":"101111001","Z":"1011110100","*":"10111101010000","$":"1011110101000100",";":"1011110101000101","@":"101111010100011","[":"1011110101001","(":"101111010101",")":"10111101011","P":"101111011","v":"1011111","e":"1100","j":"11010000","O":"110100010","Q":"1101000110","K":"1101000111","y":"1101001","g":"110101","h":"110110","u":"110111","n":"11100","V":"1110100000","Y":"1110100001","B":"111010001","M":"111010010","C":"111010011","x":"11101010","J":"1110101100","#":"1110101101","S":"111010111","_":"111011","z":"111100100","%":"111100101","T":"111100110","H":"1111001110","N":"1111001111","p":"111101","r":"11111"};

// Create inverted copies of dictionaries for easier decoding
const tldDecode = {};
for (const key in tldEncode) {
  tldDecode[tldEncode[key]] = key;
}
const sldDecode = {};
for (const key in sldEncode) {
  sldDecode[sldEncode[key]] = key;
}
const sldList = Object.keys(sldEncode).sort((a, b) => b.length - a.length);
const domainDecode = {};
for (const key in domainEncode) {
  domainDecode[domainEncode[key]] = key;
}
const pathDecode = {};
for (const key in pathEncode) {
  pathDecode[pathEncode[key]] = key;
}

/**
 * The following two functions convert between large numbers and strings.
 * The idea is that, instead of working in a fixed base such as binary or
 * whatever base the string is in, we can instead manipulate some number
 * as an arbitrary-precision data stream.
 *
 * For example, a value with 3 possible options requires about 1.6 bits.
 * In binary, that would round up to 2 bits, and in base-85 (for example),
 * it would round up to a whole character. If we instead use one shared
 * integer for the whole data stream, we can encode that value by:
 *  1. multiplying the number by 3; (number *= 3n)
 *  2. adding the encoded value (0, 1, or 2), (number += value)
 * and decode it by:
 *  1. reading the remainder when dividing by 3; (number % 3n)
 *  2. dividing the number by 3. (number /= 3n)
 */

/**
 * Encodes a number into a string of the given alphabet.
 * @param {BigInt} number Number to encode
 * @param {string[]} alphabet Ordered list of possible character sequences in output
 * @returns {string} String representing the input number
 */
function numberToString (number, alphabet) {
  const alphabetSize = BigInt(alphabet.length);
  let string = "";

  while (number > 0) {
    number --;
    string += alphabet[number % alphabetSize];
    number /= alphabetSize;
  }

  return string;
}

/**
 * Decodes a string of the given alphabet into a number.
 * @param {string} string Input string containing sequences from `alphabet`
 * @param {string[]} alphabet Ordered list of possible character sequences in `string`
 * @returns {BigInt} Decoded number
 */
function stringToNumber (string, alphabet) {
  const alphabetSize = BigInt(alphabet.length);
  let number = 0n;

  // Not all alphabets are 1 byte per character. For example, the emoji
  // alphabet includes some sequences that only make sense in specific
  // combinations. To account for this, we assume the alphabets are
  // ordered with the longest sequences first (they are), and find the
  // first entry that matches the current position in the string.
  while (string) {
    const digit = BigInt(alphabet.findIndex(c => string.endsWith(c)));
    if (digit < 0n) throw `Invalid character: "${string.at(-1)}"`;
    number *= alphabetSize;
    number += digit;
    number ++;
    const sequence = alphabet[digit];
    string = string.slice(0, -sequence.length);
  }

  return number;
}

/**
 * Encodes a binary sequence from a string into the number/data stream.
 * @param {BigInt} number Data stream to encode to
 * @param {string} sequence Binary sequence of "0"/"1" string characters
 * @returns {BigInt} Modified input number with binary sequence encoded
 */
function huffmanEncode (number, sequence) {
  for (let i = sequence.length - 1; i >= 0; i --) {
    number <<= 1n;
    if (sequence[i] === "1") number ++;
  }
  return number;
}

/**
 * Decodes a string from the data stream using the given dictionary.
 * @param {BigInt} number Data stream to decode from
 * @param {object} lookup Dictionary of binary sequence -> output pairs
 * @returns {{newNumber: BigInt, digit: string}}
 *  Modified input number after decoding, output string
 */
function huffmanDecode (number, lookup) {
  let sequence = "";
  do {
    sequence += number & 1n;
    number >>= 1n;
    if (sequence.length > 20) {
      throw `Huffman sequence too long: "${sequence}".`;
    }
  } while (!(sequence in lookup));
  return { newNumber: number, digit: lookup[sequence] };
}

/**
 * Compresses the input link and encodes it to the given alphabet.
 * @param {string} input Link to compress
 * @param {string[]} alphabet Output alphabet as array of characters/strings
 * @returns {string} Output payload (not a full link!)
 */
export function compress (input, alphabet) {
  let number = 1n;

  // Validate URL, add protocol if needed
  let url;
  if (URL.canParse(input)) {
    url = new URL(input);
  } else {
    url = new URL("http://" + input);
  }

  let hostname = url.hostname.toLowerCase();
  const port = BigInt(url.port);
  const tld = hostname.includes(".") && hostname.split(".").at(-1).toLowerCase();

  if (tld in tldEncode) {
    hostname = hostname.split(".").slice(0, -1).join(".");
  }

  const isHTTPS = url.protocol === "https:";
  const hasWWW = url.hostname.toLowerCase().startsWith("www.");
  if (hasWWW) hostname = hostname.slice(4);

  const knownSLD = sldList.find(c => hostname.endsWith(c)) || "";
  const subdomain = hostname.slice(0, -knownSLD.length);

  // Read URL path, split it into segments
  let path = url.pathname;

  // Remove "index" suffixes, encoded separately later
  const hasIndexHTML = path.endsWith("/index.html");
  const hasIndexPHP = path.endsWith("/index.php");
  if (hasIndexHTML) path = path.slice(0, -11);
  else if (hasIndexPHP) path = path.slice(0, -10);

  // The seperable parts of a path/query are split into segments with
  // their position/role in the link noted. This lets us pick optimal
  // character sets for individual segments and enables us to encode
  // only the transitions between segments. As-is, the system's a bit
  // clumsy, but it works.
  const pathSegments = path.split("/")
    .filter(c => c.length)
    .map(c => ({ type: "path", value: c }));

  // Add search/query parameters to path segments
  let queryParams = Array.from(url.searchParams)
    .flat()
    .map(c => ({ type: "query", value: c }));
  pathSegments.push(...queryParams);

  // Add hash value to path segments
  if (url.hash && url.hash.length > 1) {
    pathSegments.push({ type: "hash", value: url.hash.slice(1) });
  }

  // Normalize path segment encoding
  for (const segment of pathSegments) {
    segment.value = encodeURI(decodeURI(segment.value));
  }

  // Encode path following domain segment-by-segment, using best algorithm for each
  let lastSegmentType = pathSegments.at(-1)?.type;
  let queryParamIndex = 0;
  for (let j = pathSegments.length - 1; j >= 0; j --) {
    const segment = pathSegments[j];
    const firstIteration = j === pathSegments.length - 1;
    if (!firstIteration && queryParamIndex % 2 !== 1) {
      // Indicate change of segment type (path -> param -> hash)
      //   First bit indicates that a change is happening,
      //   second bit indicates whether we're skipping straight to the hash.
      number <<= 1n;
      if (lastSegmentType === "hash" && segment.type === "query") {
        number ++;
      } else if (lastSegmentType === "hash" && segment.type === "path") {
        number ++; // Second bit is 1
        number <<= 1n;
        number ++;
      } else if (lastSegmentType !== segment.type) {
        // Second bit is 0
        number <<= 1n;
        number ++;
      }
      lastSegmentType = segment.type;
    }
    if (segment.type === "query") {
      queryParamIndex ++;
    }
    // Look for smallest subalphabet that fits this path segment
    let subalphabetIndex = subalphabets.length - 1;
    let subalphabet = subalphabets[subalphabetIndex];
    for (let i = 0; i < subalphabets.length - 1; i ++) {
      if (!Array.from(segment.value).some(c => !subalphabets[i].includes(c))) {
        subalphabet = subalphabets[i];
        subalphabetIndex = i;
        break;
      }
    }
    // Compute number after Huffman coding
    let huffmanNumber = firstIteration ? number : huffmanEncode(number, pathEncode["#"]);
    for (let i = segment.value.length - 1; i >= 0; i --) {
      if (segment.value[i - 2] === "%") {
        const byte = parseInt(segment.value.slice(i - 1, i + 1), 16);
        huffmanNumber *= 256n;
        huffmanNumber += BigInt(byte);
        huffmanNumber = huffmanEncode(huffmanNumber, pathEncode["%"]);
        i -= 2;
      } else {
        if (segment.value[i] === "~") {
          /**
           * HACK HACK HACK!!!
           * Our Huffman tree is missing the tilde character (whoops!)
           * It's too late to change it now without bumping the version
           * number, and that currently costs 1 bit. Tildes are so rare
           * that it makes more sense to %-encode them instead.
           */
          huffmanNumber *= 256n;
          huffmanNumber += BigInt(126);
          huffmanNumber = huffmanEncode(huffmanNumber, pathEncode["%"]);
        } else {
          huffmanNumber = huffmanEncode(huffmanNumber, pathEncode[segment.value[i]]);
        }
      }
    }
    // Encode segment variant as 0
    // (We're adding +1 here to introduce 0 as a special value indicating Huffman)
    huffmanNumber *= BigInt(subalphabets.length + 1);
    // Compute number after encoding with chosen subalphabet
    const subalphabetLength = BigInt(subalphabet.length + 1);
    let subalphabetNumber = firstIteration ? number : number * subalphabetLength;
    for (let i = segment.value.length - 1; i >= 0; i--) {
      subalphabetNumber *= subalphabetLength;
      subalphabetNumber += BigInt(subalphabet.indexOf(segment.value[i]) + 1);
    }
    // Encode segment variant as subalphabet index + 1
    subalphabetNumber *= BigInt(subalphabets.length + 1);
    subalphabetNumber += BigInt(subalphabetIndex + 1);
    // Compare candidate numbers, pick smallest one
    if (huffmanNumber < subalphabetNumber) {
      number = huffmanNumber;
    } else {
      number = subalphabetNumber;
    }
  }

  // Encode type of first path segment
  if (pathSegments.length > 0) {
    number *= 3n;
    if (pathSegments[0].type === "query") {
      number += 1n;
    } else if (pathSegments[0].type === "hash") {
      number += 2n;
    }
  }

  // Encode either SLD + subdomain or full hostname
  if (!knownSLD) {
    // Write stopping token only if path follows
    if (pathSegments.length > 0) number = huffmanEncode(number, domainEncode["END"]);
    for (let i = hostname.length - 1; i >= 0; i --) {
      number = huffmanEncode(number, domainEncode[hostname[i]]);
    }
  } else {
    // Encode subdomain
    if (subdomain) {
      // Write stopping token only if path follows
      if (pathSegments.length > 0) number = huffmanEncode(number, domainEncode["END"]);
      for (let i = subdomain.length - 1; i >= 0; i--) {
        number = huffmanEncode(number, domainEncode[subdomain[i]]);
      }
    }
    // Encode Huffman code of known SLD
    number = huffmanEncode(number, sldEncode[knownSLD]);
  }

  // Indicate presence of known SLD and optional subdomain
  if (knownSLD) {
    number <<= 1n;
    if (subdomain) number += 1n;
  }
  number <<= 1n;
  if (knownSLD) number += 1n;

  // Encode "index.html"/"index.php" suffix
  number <<= 1n;
  if (hasIndexPHP) number += 1n;
  if (hasIndexHTML || hasIndexPHP) {
    number <<= 1n;
    number += 1n;
  }
  // Encode protocol
  number <<= 1n;
  if (isHTTPS) number += 1n;
  // Encode "www." prefix
  number <<= 1n;
  if (hasWWW) number += 1n;
  // Encode TLD
  number = huffmanEncode(number, tldEncode[tld] || tldEncode[""]);
  // Encode port number
  if (port) {
    number *= 65536n;
    number += port;
  }
  number <<= 1n;
  if (port) number += 1n;

  // Encode version number
  for (let i = 0; i < VERSION; i ++) {
    number <<= 1n;
    number += 1n;
  }
  number <<= 1n;

  return numberToString(number, alphabet);
}

/**
 * Decodes and decompresses the payload assuming the given alphabet and
 * produces a full link.
 * @param {string} input Compressed payload
 * @param {string[]} alphabet Ordered alphabet used by payload
 * @returns {string} Full link containing payload contents.
 */
export function decompress (input, alphabet) {
  let number = stringToNumber(input, alphabet);

  // Version number - currently unused
  let version = 0;
  while (number & 1n) {
    version ++;
    number >>= 1n;
  }
  number >>= 1n;

  // Decode port number
  const hasPort = number & 1n;
  number >>= 1n;
  let port;
  if (hasPort) {
    port = number % 65536n;
    number /= 65536n;
  }
  // Decode TLD
  const tldDecodeResult = huffmanDecode(number, tldDecode);
  number = tldDecodeResult.newNumber;
  const tld = tldDecodeResult.digit;
  // Decode "www." prefix
  const hasWWW = number & 1n;
  number >>= 1n;
  // Decode protocol
  const isHTTPS = number & 1n;
  number >>= 1n;
  // Decode "index.html"/"index.php" suffix
  let indexSuffix = "";
  if (number & 1n) {
    number >>= 1n;
    if (number & 1n) {
      indexSuffix = "/index.php";
    } else {
      indexSuffix = "/index.html";
    }
  }
  number >>= 1n;
  // Determine domain format
  const hasKnownSLD = number & 1n;
  number >>= 1n;
  let hasSubdomain = false;
  if (hasKnownSLD) {
    hasSubdomain = number & 1n;
    number >>= 1n;
  }

  let domain = "";
  let subdomain = "";
  let path = "";

  if (hasKnownSLD) {
    const sldDecodeResult = huffmanDecode(number, sldDecode);
    number = sldDecodeResult.newNumber;
    domain = sldDecodeResult.digit;
    if (hasSubdomain) {
      while (number > 1n) {
        const { newNumber, digit } = huffmanDecode(number, domainDecode);
        number = newNumber;
        if (digit === "END") break;
        subdomain += digit;
      }
    }
  } else {
    while (number > 1n) {
      const { newNumber, digit } = huffmanDecode(number, domainDecode);
      number = newNumber;
      if (digit === "END") break;
      domain += digit;
    }
  }

  const segmentTypeIndex = number % 3n;
  number /= 3n;
  let currentSegmentType = ["path", "query", "hash"][segmentTypeIndex];

  let queryParamIndex = 0;

  while (number > 1n) {
    if (currentSegmentType === "path") {
      path += "/";
    } else if (currentSegmentType === "hash") {
      path += "#";
    } else {
      if (queryParamIndex % 2) {
        path += "=";
      } else if (queryParamIndex === 0) {
        path += "?";
      } else {
        path += "&";
      }
      queryParamIndex ++;
    }
    // Get path segment variant
    const variant = Number(number % BigInt(subalphabets.length + 1));
    number /= BigInt(subalphabets.length + 1);
    // Variant 0 is Huffman code, rest are subalphabets
    if (variant === 0) {
      while (number > 1n) {
        const { newNumber, digit } = huffmanDecode(number, pathDecode);
        number = newNumber;
        if (digit === "#" && currentSegmentType !== "hash") break;
        path += digit;
        if (digit === "%") {
          const byte = number % 256n;
          path += byte.toString(16);
          number /= 256n;
        }
      }
    } else {
      const subalphabet = subalphabets[variant - 1];
      const subalphabetLength = BigInt(subalphabet.length + 1);
      while (number > 1n) {
        const index = Number(number % subalphabetLength);
        number /= subalphabetLength;
        if (index === 0) break;
        path += subalphabet[index - 1];
      }
    }
    // Handle changing between path segment types, unless we're in the
    // middle of decoding a query parameter key/value pair, in which
    // case switching to the hash value doesn't make sense.
    if (queryParamIndex % 2) continue;
    if (number & 1n) { // Changing segment type?
      if (currentSegmentType === "path") {
        number >>= 1n;
        if (number & 1n) { // Skipping to hash?
          currentSegmentType = "hash";
        } else {
          currentSegmentType = "query";
        }
      } else {
        currentSegmentType = "hash";
      }
    }
    number >>= 1n;
  }

  const pathSplitIndex = path.search(/[?#]/);
  const pathBeforeQuery = pathSplitIndex === -1 ? path : path.slice(0, pathSplitIndex);
  const pathFromQuery = pathSplitIndex === -1 ? "" : path.slice(pathSplitIndex);

  let output = ""
    + (isHTTPS ? "https://" : "http://")
    + (hasWWW ? "www." : "")
    + subdomain
    + domain
    + (tld ? "." + tld : "")
    + (hasPort ? ":" + port : "")
    + pathBeforeQuery
    + indexSuffix
    + pathFromQuery;

  return output;
}