path: root/users/sterni/nix/utf8/default.nix

{ depot, lib, ... }:

let

  inherit (depot.users.sterni.nix)
    char
    flow
    fun
    int
    string
    util
    ;

  /* (Internal) function to determine the amount
     bytes left in a UTF-8 byte sequence from the
     first byte.

     This function will throw if the given first
     byte is ill-formed, but will not detect all
     cases of ill-formed-ness.

     Based on table 3-6. from The Unicode Standard,
     Version 13.0, section 3.9.

     Type: integer -> integer
  */
  byteCount = i: flow.cond [
    [ (int.bitAnd i 128 == 0)   1 ]
    [ (int.bitAnd i 224 == 192) 2 ]
    [ (int.bitAnd i 240 == 224) 3 ]
    [ (int.bitAnd i 248 == 240) 4 ]
    [ true (builtins.throw "Ill-formed first byte ${int.toHex i}") ]
  ];

  /* (Internal) function to check if a given byte in
     an UTF-8 byte sequence is well-formed.

     Based on table 3-7. from The Unicode Standard,
     Version 13.0, section 3.9.

     Type: integer -> integer -> integer -> bool
  */
  wellFormedByte =
    # first byte's integer value
    first:
    # byte position as an index starting with 0
    pos:
      let
        defaultRange = int.inRange 128 191;

        secondBytePredicate = flow.switch first [
          [ (int.inRange 194 223) defaultRange          ] # C2..DF
          [ 224                   (int.inRange 160 191) ] # E0
          [ (int.inRange 225 236) defaultRange          ] # E1..EC
          [ 237                   (int.inRange 128 159) ] # ED
          [ (int.inRange 238 239) defaultRange          ] # EE..EF
          [ 240                   (int.inRange 144 191) ] # F0
          [ (int.inRange 241 243) defaultRange          ] # F1..F3
          [ 244                   (int.inRange 128 143) ] # F4
          [ (fun.const true)      null                  ]
        ];

        firstBytePredicate = byte: assert first == byte;
          first < 128 || secondBytePredicate != null;
      in
        # Either ASCII or in one of the byte ranges of Table 3-6.
        if pos == 0 then firstBytePredicate
        # return predicate according to Table 3-6.
        else if pos == 1 then assert secondBytePredicate != null; secondBytePredicate
        # 3rd and 4th byte have only one validity rule
        else defaultRange;

  /* Iteration step for decoding an UTF-8 byte sequence.
     It decodes incrementally, i. e. it has to be fed
     one byte at a time and then returns either a
     new state or a final result.

     If the resulting attribute set contains the attribute
     result, it is finished and the decoded codepoint is
     contained in that attribute. In all other cases,
     pass the returned set to step again along with
     a new byte. The initial state to pass is the empty
     set.

     Extra attributes are always passed through, so you
     can pass extra state. Be sure not to use result,
     pos, code, first or count.

     This function will throw with a fairly detailed
     message if it encounters ill-formed bytes.

     The implementation is based on The Unicode Standard,
     Version 13.0, section 3.9, especially table 3-6.

     Type: { ... } -> string -> ({ result :: integer, ... } | { ... })

     Example: utf8.step {} "f"
     => { result = 102; }
  */
  step = { pos ? 0, code ? 0, ... }@args: byte:
    let
      value = char.ord byte;
      # first byte is context for well-formed-ness
      first = args.first or value;
      count = args.count or (byteCount first);
      newCode =
        if count == 1
        then int.bitAnd 127 first # ascii character
        else # multi byte UTF-8 sequence
          let
            # Calculate the bitmask for extracting the
            # codepoint data in the current byte.
            # If the codepoint is not ASCII, the bits
            # used for codepoint data differ depending
            # on the byte position and overall byte
            # count. The first byte always ignores
            # the (count + 1) most significant bits.
            # For all subsequent bytes, the 2 most
            # significant bits need to be ignored.
            # See also table 3-6.
            mask =
              if pos == 0
              then int.exp 2 (8 - (count + 1)) - 1
              else 63;
            # UTF-8 uses the 6 least significant bits in all
            # subsequent bytes after the first one. Therefore
            # We can determine the amount we need to shift
            # the current value by the amount of bytes left.
            offset = (count - (pos + 1)) * 6;
          in
            code + (int.bitShiftL (int.bitAnd mask value) offset);
      illFormedMsg =
        "Ill-formed byte ${int.toHex value} at position ${toString pos} in ${toString count} byte UTF-8 sequence";
    in
      if !(wellFormedByte first pos value) then builtins.throw illFormedMsg
      else if pos + 1 == count
      then (builtins.removeAttrs args [ # allow extra state being passed through
        "count"
        "code"
        "pos"
        "first"
      ]) // { result = newCode; }
      else (builtins.removeAttrs args [ "result" ]) // {
        inherit count first;
        code = newCode;
        pos  = pos + 1;
      };

  /* Decode an UTF-8 string into a list of codepoints.

     Throws if the string is ill-formed UTF-8.

     Type: string -> [ integer ]
  */
  # TODO(sterni): option to fallback to replacement char instead of failure
  decode = s:
    let
      stringLength = builtins.stringLength s;
      iterResult = builtins.genericClosure {
        startSet = [
          {
            key = "start";
            stringIndex = -1;
            state = {};
            codepoint = null;
          }
        ];
        operator = { state, stringIndex, ... }:
          let
            # updated values for current iteration step
            newIndex = stringIndex + 1;
            newState = step state (builtins.substring newIndex 1 s);
          in lib.optional (newIndex < stringLength) {
            # unique keys to make genericClosure happy
            key = toString newIndex;
            # carryover state for the next step
            stringIndex = newIndex;
            state = newState;
            # actual payload for later, steps with value null are filtered out
            codepoint = newState.result or null;
          };
      };
    in
    # extract all steps that yield a code point into a list
    builtins.map (v: v.codepoint) (
      builtins.filter (
        { codepoint, stringIndex, state, ... }:

        let
          # error message in case we are missing bytes at the end of input
          earlyEndMsg =
            if state ? count && state ? pos
            then "Missing ${toString (with state; count - pos)} bytes at end of input"
            else "Unexpected end of input";
        in

        # filter out all iteration steps without a codepoint value
        codepoint != null
          # if we are at the iteration step of a non-empty input string, throw
          # an error if no codepoint was returned, as it indicates an incomplete
          # UTF-8 sequence.
          || (stringLength > 0 && stringIndex == stringLength - 1 && throw earlyEndMsg)

      ) iterResult
    );

  /* Pretty prints a Unicode codepoint in the U+<HEX> notation.

     Type: integer -> string
  */
  formatCodepoint = cp: "U+" + string.fit {
    width = 4;
    char = "0";
  } (int.toHex cp);

  encodeCodepoint = cp:
    let
      # Find the amount of bytes needed to encode the given codepoint.
      # Note that this doesn't check if the Unicode codepoint is allowed,
      # but rather allows all theoretically UTF-8-encodeable ones.
      count = flow.switch cp [
        [ (int.inRange 0 127)         1 ] # 00000000 0xxxxxxx
        [ (int.inRange 128 2047)      2 ] # 00000yyy yyxxxxxx
        [ (int.inRange 2048 65535)    3 ] # zzzzyyyy yyxxxxxx
        [ (int.inRange 65536 1114111) 4 ] # 000uuuuu zzzzyyyy yyxxxxxx,
                                          # capped at U+10FFFF

        [ (fun.const true) (builtins.throw invalidCodepointMsg) ]
      ];

      invalidCodepointMsg = "${formatCodepoint cp} is not a Unicode codepoint";

      # Extract the bit ranges x, y, z and u from the given codepoint
      # according to Table 3-6. from The Unicode Standard, Version 13.0,
      # section 3.9. u is split into uh and ul since they are used in
      # different bytes in the end.
      components = lib.mapAttrs (_: { mask, offset }:
        int.bitAnd (int.bitShiftR cp offset) mask
      ) {
        x = {
          mask = if count > 1 then 63 else 127;
          offset = 0;
        };
        y = {
          mask = if count > 2 then 63 else 31;
          offset = 6;
        };
        z = {
          mask = 15;
          offset = 12;
        };
        # u which belongs into the second byte
        ul = {
          mask = 3;
          offset = 16;
        };
        # u which belongs into the first byte
        uh = {
          mask = 7;
          offset = 18;
        };
      };
      inherit (components) x y z ul uh;

      # Finally construct the byte sequence for the given codepoint. This is
      # usually done by using the component and adding a few bits as a prefix
      # which depends on the length of the sequence. The longer the sequence,
      # the further back each component is pushed. To simplify this, we
      # always construct a 4 element list and take the last `count` elements.
      # Thanks to laziness the bogus values created by this are never evaluated.
      #
      # Based on table 3-6. from The Unicode Standard,
      # Version 13.0, section 3.9.
      bytes = lib.sublist (4 - count) count [
        # 11110uuu
        (uh + 240)
        # 10uuzzzz or 1110zzzz
        (z + (if count > 3 then 128 + int.bitShiftL ul 4 else 224))
        # 10yyyyyy or 110yyyyy
        (y + (if count > 2 then 128 else 192))
        # 10xxxxxx or 0xxxxxxx
        (x + (if count > 1 then 128 else 0))
      ];

      firstByte = builtins.head bytes;

      unableToEncodeMessage = "Can't encode ${formatCodepoint cp} as UTF-8";

    in string.fromBytes (
      builtins.genList (i:
        let
          byte = builtins.elemAt bytes i;
        in
          if wellFormedByte firstByte i byte
          then byte
          else builtins.throw unableToEncodeMessage
      ) count
    );

  /* Encode a list of Unicode codepoints into an UTF-8 string.

     Type: [ integer ] -> string
  */
  encode = lib.concatMapStrings encodeCodepoint;

in {
  inherit
    encode
    decode
    step
    formatCodepoint
    ;
}