
local WIDGET, VERSION = 'QRCodeWidget', 4

local GUI = LibStub('NetEaseGUI-2.0')
local QRCodeWidget = GUI:NewClass(WIDGET, 'Button', VERSION)
if not QRCodeWidget then
    return
end


--- The qrcode library is licensed under the 3-clause BSD license (aka "new BSD")
--- To get in contact with the author, mail to <gundlach@speedata.de>.
---
--- Please report bugs on the [github project page](http://speedata.github.com/luaqrcode/).
-- Copyright (c) 2012, Patrick Gundlach
-- All rights reserved.
--
-- Redistribution and use in source and binary forms, with or without
-- modification, are permitted provided that the following conditions are met:
--   * Redistributions of source code must retain the above copyright
--     notice, this list of conditions and the following disclaimer.
--   * Redistributions in binary form must reproduce the above copyright
--     notice, this list of conditions and the following disclaimer in the
--     documentation and/or other materials provided with the distribution.
--   * Neither the name of the <organization> nor the
--     names of its contributors may be used to endorse or promote products
--     derived from this software without specific prior written permission.
--
-- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND
-- ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
-- WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE
-- DISCLAIMED. IN NO EVENT SHALL <COPYRIGHT HOLDER> BE LIABLE FOR ANY
-- DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
-- (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
-- LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
-- ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
-- (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
-- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.


--- Overall workflow
--- ================
--- The steps to generate the qrcode, assuming we already have the codeword:
---
--- 1. Determine version, ec level and mode (=encoding) for codeword
--- 1. Encode data
--- 1. Arrange data and calculate error correction code
--- 1. Generate 8 matrices with different masks and calculate the penalty
--- 1. Return qrcode with least penalty
---
--- Each step is of course more or less complex and needs further description

--- Helper functions
--- ================
---
--- We start with some helper functions

local bit_xor = bit.bxor

-- Return the binary representation of the number x with the width of `digits`.
local function binary(x,digits)
  local s=string.format("%o",x)
  local a={["0"]="000",["1"]="001", ["2"]="010",["3"]="011",
           ["4"]="100",["5"]="101", ["6"]="110",["7"]="111"}
  s=string.gsub(s,"(.)",function (d) return a[d] end)
  -- remove leading 0s
  s = string.gsub(s,"^0*(.*)$","%1")
  local fmtstring = string.format("%%%ds",digits)
  local ret = string.format(fmtstring,s)
  return string.gsub(ret," ","0")
end

-- A small helper function for add_typeinfo_to_matrix() and add_version_information()
-- Add a 2 (black by default) / -2 (blank by default) to the matrix at position x,y
-- depending on the bitstring (size 1!) where "0"=blank and "1"=black.
local function fill_matrix_position(matrix,bitstring,x,y)
    if bitstring == "1" then
        matrix[x][y] = 2
    else
        matrix[x][y] = -2
    end
end


--- Step 1: Determine version, ec level and mode for codeword
--- ========================================================
---
--- First we need to find out the version (= size) of the QR code. This depends on
--- the input data (the mode to be used), the requested error correction level
--- (normally we use the maximum level that fits into the minimal size).

-- Return the mode for the given string `str`.
-- See table 2 of the spec. We only support mode 1, 2 and 4.
-- That is: numeric, alaphnumeric and binary.
local function get_mode( str )
    local mode
    if string.match(str,"^[0-9]+$") then
        return 1
    elseif string.match(str,"^[0-9A-Z $%%*./:+-]+$") then
        return 2
    else
        return 4
    end
    assert(false,"never reached")
    return nil
end



--- Capacity of QR codes
--- --------------------
--- The capacity is calculated as follow: \\(\text{Number of data bits} = \text{number of codewords} * 8\\).
--- The number of data bits is now reduced by 4 (the mode indicator) and the length string,
--- that varies between 8 and 16, depending on the version and the mode (see method `get_length()`). The
--- remaining capacity is multiplied by the amount of data per bit string (numeric: 3, alphanumeric: 2, other: 1)
--- and divided by the length of the bit string (numeric: 10, alphanumeric: 11, binary: 8, kanji: 13).
--- Then the floor function is applied to the result:
--- $$\Big\lfloor \frac{( \text{#data bits} - 4 - \text{length string}) * \text{data per bit string}}{\text{length of the bit string}} \Big\rfloor$$
---
--- There is one problem remaining. The length string depends on the version,
--- and the version depends on the length string. But we take this into account when calculating the
--- the capacity, so this is not really a problem here.

-- The capacity (number of codewords) of each version (1-40) for error correction levels 1-4 (LMQH).
-- The higher the ec level, the lower the capacity of the version. Taken from spec, tables 7-11.
local capacity = {
  {  19,   16,   13,    9},{  34,   28,   22,   16},{  55,   44,   34,   26},{  80,   64,   48,   36},
  { 108,   86,   62,   46},{ 136,  108,   76,   60},{ 156,  124,   88,   66},{ 194,  154,  110,   86},
  { 232,  182,  132,  100},{ 274,  216,  154,  122},{ 324,  254,  180,  140},{ 370,  290,  206,  158},
  { 428,  334,  244,  180},{ 461,  365,  261,  197},{ 523,  415,  295,  223},{ 589,  453,  325,  253},
  { 647,  507,  367,  283},{ 721,  563,  397,  313},{ 795,  627,  445,  341},{ 861,  669,  485,  385},
  { 932,  714,  512,  406},{1006,  782,  568,  442},{1094,  860,  614,  464},{1174,  914,  664,  514},
  {1276, 1000,  718,  538},{1370, 1062,  754,  596},{1468, 1128,  808,  628},{1531, 1193,  871,  661},
  {1631, 1267,  911,  701},{1735, 1373,  985,  745},{1843, 1455, 1033,  793},{1955, 1541, 1115,  845},
  {2071, 1631, 1171,  901},{2191, 1725, 1231,  961},{2306, 1812, 1286,  986},{2434, 1914, 1354, 1054},
  {2566, 1992, 1426, 1096},{2702, 2102, 1502, 1142},{2812, 2216, 1582, 1222},{2956, 2334, 1666, 1276}}


--- Return the smallest version for this codeword. If `requested_ec_level` is supplied,
--- then the ec level (LMQH - 1,2,3,4) must be at least the requested level.
-- mode = 1,2,4,8
local function get_version_eclevel(len,mode,requested_ec_level)
    local local_mode = mode
    if mode == 4 then
        local_mode = 3
    elseif mode == 8 then
        local_mode = 4
    end
    assert( local_mode <= 4 )

    local bytes, bits, digits, modebits, c
    local tab = { {10,9,8,8},{12,11,16,10},{14,13,16,12} }
    local minversion = 40
    local maxec_level = 1
    for ec_level=1,4 do
        if requested_ec_level == nil or ec_level >= requested_ec_level then
            for version=1,#capacity do
                bits = capacity[version][ec_level] * 8
                bits = bits - 4 -- the mode indicator
                if version < 10 then
                    digits = tab[1][local_mode]
                elseif version < 27 then
                    digits = tab[2][local_mode]
                elseif version <= 40 then
                    digits = tab[3][local_mode]
                end
                modebits = bits - digits
                if local_mode == 1 then -- numeric
                    c = math.floor(modebits * 3 / 10)
                elseif local_mode == 2 then -- alphanumeric
                    c = math.floor(modebits * 2 / 11)
                elseif local_mode == 3 then -- binary
                    c = math.floor(modebits * 1 / 8)
                else
                    c = math.floor(modebits * 1 / 13)
                end
                if c >= len then
                    if version <= minversion then
                        minversion = version
                        maxec_level = ec_level
                    end
                    break
                end
            end
        end
    end
    return minversion, maxec_level
end

-- Return a bit string of 0s and 1s that includes the length of the code string.
-- The modes are numeric = 1, alphanumeric = 2, binary = 4, and japanese = 8
local function get_length(str,version,mode)
    local i = mode
    if mode == 4 then
        i = 3
    elseif mode == 8 then
        i = 4
    end
    assert( i <= 4 )
    local tab = { {10,9,8,8},{12,11,16,10},{14,13,16,12} }
    local digits
    if version < 10 then
        digits = tab[1][i]
    elseif version < 27 then
        digits = tab[2][i]
    elseif version <= 40 then
        digits = tab[3][i]
    else
        assert(false, "get_length, version > 40 not supported")
    end
    local len = binary(#str,digits)
    return len
end

--- If the `requested_ec_level` or the `mode` are provided, this will be used if possible.
--- The mode depends on the characters used in the string `str`. It seems to be
--- possible to split the QR code to handle multiple modes, but we don't do that.
local function get_version_eclevel_mode_bistringlength(str,requested_ec_level,mode)
    local local_mode
    if mode then
        assert(false,"not implemented")
        -- check if the mode is OK for the string
        local_mode = mode
    else
        local_mode = get_mode(str)
    end
    local version, ec_level
    version, ec_level = get_version_eclevel(#str,local_mode,requested_ec_level)
    local length_string = get_length(str,version,local_mode)
    return version,ec_level,binary(local_mode,4),local_mode,length_string
end

--- Step 2: Encode data
--- ===================

--- There are several ways to encode the data. We currently support only numeric, alphanumeric and binary.
--- We already chose the encoding (a.k.a. mode) in the first step, so we need to apply the mode to the
--- codeword.
---
--- **Numeric**: take three digits and encode them in 10 bits
--- **Alphanumeric**: take two characters and encode them in 11 bits
--- **Binary**: take one octet and encode it in 8 bits

local asciitbl = {
        -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,  -- 0x01-0x0f
    -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1,  -- 0x10-0x1f
    36, -1, -1, -1, 37, 38, -1, -1, -1, -1, 39, 40, -1, 41, 42, 43,  -- 0x20-0x2f
     0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 44, -1, -1, -1, -1, -1,  -- 0x30-0x3f
    -1, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24,  -- 0x40-0x4f
    25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, -1, -1, -1, -1, -1,  -- 0x50-0x5f
  }

-- Return a binary representation of the numeric string `str`. This must contain only digits 0-9.
local function encode_string_numeric(str)
    local bitstring = ""
    local int
    string.gsub(str,"..?.?",function(a)
        int = tonumber(a)
        if #a == 3 then
            bitstring = bitstring .. binary(int,10)
        elseif #a == 2 then
            bitstring = bitstring .. binary(int,7)
        else
            bitstring = bitstring .. binary(int,4)
        end
    end)
    return bitstring
end

-- Return a binary representation of the alphanumeric string `str`. This must contain only
-- digits 0-9, uppercase letters A-Z, space and the following chars: $%*./:+-.
local function encode_string_ascii(str)
    local bitstring = ""
    local int
    local b1, b2
    string.gsub(str,"..?",function(a)
        if #a == 2 then
            b1 = asciitbl[string.byte(string.sub(a,1,1))]
            b2 = asciitbl[string.byte(string.sub(a,2,2))]
            int = b1 * 45 + b2
            bitstring = bitstring .. binary(int,11)
        else
            int = asciitbl[string.byte(a)]
            bitstring = bitstring .. binary(int,6)
        end
      end)
    return bitstring
end

-- Return a bitstring representing string str in binary mode.
-- We don't handle UTF-8 in any special way because we assume the
-- scanner recognizes UTF-8 and displays it correctly.
local function encode_string_binary(str)
    local ret = {}
    string.gsub(str,".",function(x)
        ret[#ret + 1] = binary(string.byte(x),8)
    end)
    return table.concat(ret)
end

-- Return a bitstring representing string str in the given mode.
local function encode_data(str,mode)
    if mode == 1 then
        return encode_string_numeric(str)
    elseif mode == 2 then
        return encode_string_ascii(str)
    elseif mode == 4 then
        return encode_string_binary(str)
    else
        assert(false,"not implemented yet")
    end
end

-- Encoding the codeword is not enough. We need to make sure that
-- the length of the binary string is equal to the number of codewords of the version.
local function add_pad_data(version,ec_level,data)
    local count_to_pad, missing_digits
    local cpty = capacity[version][ec_level] * 8
    count_to_pad = math.min(4,cpty - #data)
    if count_to_pad > 0 then
        data = data .. string.rep("0",count_to_pad)
    end
    if math.fmod(#data,8) ~= 0 then
        missing_digits = 8 - math.fmod(#data,8)
        data = data .. string.rep("0",missing_digits)
    end
    assert(math.fmod(#data,8) == 0)
    -- add "11101100" and "00010001" until enough data
    while #data < cpty do
        data = data .. "11101100"
        if #data < cpty then
            data = data .. "00010001"
        end
    end
    return data
end



--- Step 3: Organize data and calculate error correction code
--- =======================================================
--- The data in the qrcode is not encoded linearly. For example code 5-H has four blocks, the first two blocks
--- contain 11 codewords and 22 error correction codes each, the second block contain 12 codewords and 22 ec codes each.
--- We just take the table from the spec and don't calculate the blocks ourself. The table `ecblocks` contains this info.
---
--- During the phase of splitting the data into codewords, we do the calculation for error correction codes. This step involves
--- polynomial division. Find a math book from school and follow the code here :)

--- ### Reed Solomon error correction
--- Now this is the slightly ugly part of the error correction. We start with log/antilog tables
local alpha_int = {
    [0] = 0,
      2,   4,   8,  16,  32,  64, 128,  29,  58, 116, 232, 205, 135,  19,  38,  76,
    152,  45,  90, 180, 117, 234, 201, 143,   3,   6,  12,  24,  48,  96, 192, 157,
     39,  78, 156,  37,  74, 148,  53, 106, 212, 181, 119, 238, 193, 159,  35,  70,
    140,   5,  10,  20,  40,  80, 160,  93, 186, 105, 210, 185, 111, 222, 161,  95,
    190,  97, 194, 153,  47,  94, 188, 101, 202, 137,  15,  30,  60, 120, 240, 253,
    231, 211, 187, 107, 214, 177, 127, 254, 225, 223, 163,  91, 182, 113, 226, 217,
    175,  67, 134,  17,  34,  68, 136,  13,  26,  52, 104, 208, 189, 103, 206, 129,
     31,  62, 124, 248, 237, 199, 147,  59, 118, 236, 197, 151,  51, 102, 204, 133,
     23,  46,  92, 184, 109, 218, 169,  79, 158,  33,  66, 132,  21,  42,  84, 168,
     77, 154,  41,  82, 164,  85, 170,  73, 146,  57, 114, 228, 213, 183, 115, 230,
    209, 191,  99, 198, 145,  63, 126, 252, 229, 215, 179, 123, 246, 241, 255, 227,
    219, 171,  75, 150,  49,  98, 196, 149,  55, 110, 220, 165,  87, 174,  65, 130,
     25,  50, 100, 200, 141,   7,  14,  28,  56, 112, 224, 221, 167,  83, 166,  81,
    162,  89, 178, 121, 242, 249, 239, 195, 155,  43,  86, 172,  69, 138,   9,  18,
     36,  72, 144,  61, 122, 244, 245, 247, 243, 251, 235, 203, 139,  11,  22,  44,
     88, 176, 125, 250, 233, 207, 131,  27,  54, 108, 216, 173,  71, 142,   1
}

local int_alpha = {
    [0] = 0,
    255,   1,  25,   2,  50,  26, 198,   3, 223,  51, 238,  27, 104, 199,  75,   4,
    100, 224,  14,  52, 141, 239, 129,  28, 193, 105, 248, 200,   8,  76, 113,   5,
    138, 101,  47, 225,  36,  15,  33,  53, 147, 142, 218, 240,  18, 130,  69,  29,
    181, 194, 125, 106,  39, 249, 185, 201, 154,   9, 120,  77, 228, 114, 166,   6,
    191, 139,  98, 102, 221,  48, 253, 226, 152,  37, 179,  16, 145,  34, 136,  54,
    208, 148, 206, 143, 150, 219, 189, 241, 210,  19,  92, 131,  56,  70,  64,  30,
     66, 182, 163, 195,  72, 126, 110, 107,  58,  40,  84, 250, 133, 186,  61, 202,
     94, 155, 159,  10,  21, 121,  43,  78, 212, 229, 172, 115, 243, 167,  87,   7,
    112, 192, 247, 140, 128,  99,  13, 103,  74, 222, 237,  49, 197, 254,  24, 227,
    165, 153, 119,  38, 184, 180, 124,  17,  68, 146, 217,  35,  32, 137,  46,  55,
     63, 209,  91, 149, 188, 207, 205, 144, 135, 151, 178, 220, 252, 190,  97, 242,
     86, 211, 171,  20,  42,  93, 158, 132,  60,  57,  83,  71, 109,  65, 162,  31,
     45,  67, 216, 183, 123, 164, 118, 196,  23,  73, 236, 127,  12, 111, 246, 108,
    161,  59,  82,  41, 157,  85, 170, 251,  96, 134, 177, 187, 204,  62,  90, 203,
     89,  95, 176, 156, 169, 160,  81,  11, 245,  22, 235, 122, 117,  44, 215,  79,
    174, 213, 233, 230, 231, 173, 232, 116, 214, 244, 234, 168,  80,  88, 175
}

-- We only need the polynomial generators for block sizes 7, 10, 13, 15, 16, 17, 18, 20, 22, 24, 26, 28, and 30. Version
-- 2 of the qr codes don't need larger ones (as opposed to version 1). The table has the format x^1*ɑ^21 + x^2*a^102 ...
local generator_polynomial = {
     [7] = { 21, 102, 238, 149, 146, 229,  87,   0},
    [10] = { 45,  32,  94,  64,  70, 118,  61,  46,  67, 251,   0 },
    [13] = { 78, 140, 206, 218, 130, 104, 106, 100,  86, 100, 176, 152,  74,   0 },
    [15] = {105,  99,   5, 124, 140, 237,  58,  58,  51,  37, 202,  91,  61, 183,   8,   0},
    [16] = {120, 225, 194, 182, 169, 147, 191,  91,   3,  76, 161, 102, 109, 107, 104, 120,   0},
    [17] = {136, 163, 243,  39, 150,  99,  24, 147, 214, 206, 123, 239,  43,  78, 206, 139,  43,   0},
    [18] = {153,  96,  98,   5, 179, 252, 148, 152, 187,  79, 170, 118,  97, 184,  94, 158, 234, 215,   0},
    [20] = {190, 188, 212, 212, 164, 156, 239,  83, 225, 221, 180, 202, 187,  26, 163,  61,  50,  79,  60,  17,   0},
    [22] = {231, 165, 105, 160, 134, 219,  80,  98, 172,   8,  74, 200,  53, 221, 109,  14, 230,  93, 242, 247, 171, 210,   0},
    [24] = { 21, 227,  96,  87, 232, 117,   0, 111, 218, 228, 226, 192, 152, 169, 180, 159, 126, 251, 117, 211,  48, 135, 121, 229,   0},
    [26] = { 70, 218, 145, 153, 227,  48, 102,  13, 142, 245,  21, 161,  53, 165,  28, 111, 201, 145,  17, 118, 182, 103,   2, 158, 125, 173,   0},
    [28] = {123,   9,  37, 242, 119, 212, 195,  42,  87, 245,  43,  21, 201, 232,  27, 205, 147, 195, 190, 110, 180, 108, 234, 224, 104, 200, 223, 168,   0},
    [30] = {180, 192,  40, 238, 216, 251,  37, 156, 130, 224, 193, 226, 173,  42, 125, 222,  96, 239,  86, 110,  48,  50, 182, 179,  31, 216, 152, 145, 173, 41, 0}}


-- Turn a binary string of length 8*x into a table size x of numbers.
local function convert_bitstring_to_bytes(data)
    local msg = {}
    local tab = string.gsub(data,"(........)",function(x)
        msg[#msg+1] = tonumber(x,2)
        end)
    return msg
end

-- Return a table that has 0's in the first entries and then the alpha
-- representation of the generator polynominal
function get_generator_polynominal_adjusted(num_ec_codewords,highest_exponent)
    local gp_alpha = {[0]=0}
    for i=0,highest_exponent - num_ec_codewords - 1 do
        gp_alpha[i] = 0
    end
    local gp = generator_polynomial[num_ec_codewords]
    for i=1,num_ec_codewords + 1 do
        gp_alpha[highest_exponent - num_ec_codewords + i - 1] = gp[i]
    end
    return gp_alpha
end

--- These converter functions use the log/antilog table above.
--- We could have created the table programatically, but I like fixed tables.
-- Convert polynominal in int notation to alpha notation.
local function convert_to_alpha( tab )
    local new_tab = {}
    for i=0,#tab do
        new_tab[i] = int_alpha[tab[i]]
    end
    return new_tab
end

-- Convert polynominal in alpha notation to int notation.
local function convert_to_int(tab,len_message)
    local new_tab = {}
    for i=0,#tab do
        new_tab[i] = alpha_int[tab[i]]
    end
    return new_tab
end

-- That's the heart of the error correction calculation.
local function calculate_error_correction(data,num_ec_codewords)
    local mp
    if type(data)=="string" then
        mp = convert_bitstring_to_bytes(data)
    elseif type(data)=="table" then
        mp = data
    else
        assert(false,"Unknown type for data: %s",type(data))
    end
    local len_message = #mp

    local highest_exponent = len_message + num_ec_codewords - 1
    local gp_alpha,tmp
    local he
    local gp_int = {}
    local mp_int,mp_alpha = {},{}
    -- create message shifted to left (highest exponent)
    for i=1,len_message do
        mp_int[highest_exponent - i + 1] = mp[i]
    end
    for i=1,highest_exponent - len_message do
        mp_int[i] = 0
    end
    mp_int[0] = 0

    mp_alpha = convert_to_alpha(mp_int)

    while highest_exponent >= num_ec_codewords do
        gp_alpha = get_generator_polynominal_adjusted(num_ec_codewords,highest_exponent)

        -- Multiply generator polynomial by first coefficient of the above polynomial

        -- take the highest exponent from the message polynom (alpha) and add
        -- it to the generator polynom
        local exp = mp_alpha[highest_exponent]
        for i=highest_exponent,highest_exponent - num_ec_codewords,-1 do
            if gp_alpha[i] + exp > 255 then
                gp_alpha[i] = math.fmod(gp_alpha[i] + exp,255)
            else
                gp_alpha[i] = gp_alpha[i] + exp
            end
        end
        for i=highest_exponent - num_ec_codewords - 1,0,-1 do
            gp_alpha[i] = 0
        end

        gp_int = convert_to_int(gp_alpha)
        mp_int = convert_to_int(mp_alpha)


        tmp = {}
        for i=highest_exponent,0,-1 do
            tmp[i] = bit_xor(gp_int[i],mp_int[i])
        end
        -- remove leading 0's
        he = highest_exponent
        for i=he,0,-1 do
            -- We need to stop if the length of the codeword is matched
            if i < num_ec_codewords then break end
            if tmp[i] == 0 then
                tmp[i] = nil
                highest_exponent = highest_exponent - 1
            else
                break
            end
        end
        mp_int = tmp
        mp_alpha = convert_to_alpha(mp_int)
    end
    local ret = {}

    -- reverse data
    for i=#mp_int,0,-1 do
        ret[#ret + 1] = mp_int[i]
    end
    return ret
end

--- #### Arranging the data
--- Now we arrange the data into smaller chunks. This table is taken from the spec.
-- ecblocks has 40 entries, one for each version. Each version entry has 4 entries, for each LMQH
-- ec level. Each entry has two or four fields, the odd files are the number of repetitions for the
-- folowing block info. The first entry of the block is the total number of codewords in the block,
-- the second entry is the number of data codewords. The third is not important.
local ecblocks = {
  {{  1,{ 26, 19, 2}                 },   {  1,{26,16, 4}},                  {  1,{26,13, 6}},                  {  1, {26, 9, 8}               }},
  {{  1,{ 44, 34, 4}                 },   {  1,{44,28, 8}},                  {  1,{44,22,11}},                  {  1, {44,16,14}               }},
  {{  1,{ 70, 55, 7}                 },   {  1,{70,44,13}},                  {  2,{35,17, 9}},                  {  2, {35,13,11}               }},
  {{  1,{100, 80,10}                 },   {  2,{50,32, 9}},                  {  2,{50,24,13}},                  {  4, {25, 9, 8}               }},
  {{  1,{134,108,13}                 },   {  2,{67,43,12}},                  {  2,{33,15, 9},  2,{34,16, 9}},   {  2, {33,11,11},  2,{34,12,11}}},
  {{  2,{ 86, 68, 9}                 },   {  4,{43,27, 8}},                  {  4,{43,19,12}},                  {  4, {43,15,14}               }},
  {{  2,{ 98, 78,10}                 },   {  4,{49,31, 9}},                  {  2,{32,14, 9},  4,{33,15, 9}},   {  4, {39,13,13},  1,{40,14,13}}},
  {{  2,{121, 97,12}                 },   {  2,{60,38,11},  2,{61,39,11}},   {  4,{40,18,11},  2,{41,19,11}},   {  4, {40,14,13},  2,{41,15,13}}},
  {{  2,{146,116,15}                 },   {  3,{58,36,11},  2,{59,37,11}},   {  4,{36,16,10},  4,{37,17,10}},   {  4, {36,12,12},  4,{37,13,12}}},
  {{  2,{ 86, 68, 9},  2,{ 87, 69, 9}},   {  4,{69,43,13},  1,{70,44,13}},   {  6,{43,19,12},  2,{44,20,12}},   {  6, {43,15,14},  2,{44,16,14}}},
  {{  4,{101, 81,10}                 },   {  1,{80,50,15},  4,{81,51,15}},   {  4,{50,22,14},  4,{51,23,14}},   {  3, {36,12,12},  8,{37,13,12}}},
  {{  2,{116, 92,12},  2,{117, 93,12}},   {  6,{58,36,11},  2,{59,37,11}},   {  4,{46,20,13},  6,{47,21,13}},   {  7, {42,14,14},  4,{43,15,14}}},
  {{  4,{133,107,13}                 },   {  8,{59,37,11},  1,{60,38,11}},   {  8,{44,20,12},  4,{45,21,12}},   { 12, {33,11,11},  4,{34,12,11}}},
  {{  3,{145,115,15},  1,{146,116,15}},   {  4,{64,40,12},  5,{65,41,12}},   { 11,{36,16,10},  5,{37,17,10}},   { 11, {36,12,12},  5,{37,13,12}}},
  {{  5,{109, 87,11},  1,{110, 88,11}},   {  5,{65,41,12},  5,{66,42,12}},   {  5,{54,24,15},  7,{55,25,15}},   { 11, {36,12,12},  7,{37,13,12}}},
  {{  5,{122, 98,12},  1,{123, 99,12}},   {  7,{73,45,14},  3,{74,46,14}},   { 15,{43,19,12},  2,{44,20,12}},   {  3, {45,15,15}, 13,{46,16,15}}},
  {{  1,{135,107,14},  5,{136,108,14}},   { 10,{74,46,14},  1,{75,47,14}},   {  1,{50,22,14}, 15,{51,23,14}},   {  2, {42,14,14}, 17,{43,15,14}}},
  {{  5,{150,120,15},  1,{151,121,15}},   {  9,{69,43,13},  4,{70,44,13}},   { 17,{50,22,14},  1,{51,23,14}},   {  2, {42,14,14}, 19,{43,15,14}}},
  {{  3,{141,113,14},  4,{142,114,14}},   {  3,{70,44,13}, 11,{71,45,13}},   { 17,{47,21,13},  4,{48,22,13}},   {  9, {39,13,13}, 16,{40,14,13}}},
  {{  3,{135,107,14},  5,{136,108,14}},   {  3,{67,41,13}, 13,{68,42,13}},   { 15,{54,24,15},  5,{55,25,15}},   { 15, {43,15,14}, 10,{44,16,14}}},
  {{  4,{144,116,14},  4,{145,117,14}},   { 17,{68,42,13}},                  { 17,{50,22,14},  6,{51,23,14}},   { 19, {46,16,15},  6,{47,17,15}}},
  {{  2,{139,111,14},  7,{140,112,14}},   { 17,{74,46,14}},                  {  7,{54,24,15}, 16,{55,25,15}},   { 34, {37,13,12}               }},
  {{  4,{151,121,15},  5,{152,122,15}},   {  4,{75,47,14}, 14,{76,48,14}},   { 11,{54,24,15}, 14,{55,25,15}},   { 16, {45,15,15}, 14,{46,16,15}}},
  {{  6,{147,117,15},  4,{148,118,15}},   {  6,{73,45,14}, 14,{74,46,14}},   { 11,{54,24,15}, 16,{55,25,15}},   { 30, {46,16,15},  2,{47,17,15}}},
  {{  8,{132,106,13},  4,{133,107,13}},   {  8,{75,47,14}, 13,{76,48,14}},   {  7,{54,24,15}, 22,{55,25,15}},   { 22, {45,15,15}, 13,{46,16,15}}},
  {{ 10,{142,114,14},  2,{143,115,14}},   { 19,{74,46,14},  4,{75,47,14}},   { 28,{50,22,14},  6,{51,23,14}},   { 33, {46,16,15},  4,{47,17,15}}},
  {{  8,{152,122,15},  4,{153,123,15}},   { 22,{73,45,14},  3,{74,46,14}},   {  8,{53,23,15}, 26,{54,24,15}},   { 12, {45,15,15}, 28,{46,16,15}}},
  {{  3,{147,117,15}, 10,{148,118,15}},   {  3,{73,45,14}, 23,{74,46,14}},   {  4,{54,24,15}, 31,{55,25,15}},   { 11, {45,15,15}, 31,{46,16,15}}},
  {{  7,{146,116,15},  7,{147,117,15}},   { 21,{73,45,14},  7,{74,46,14}},   {  1,{53,23,15}, 37,{54,24,15}},   { 19, {45,15,15}, 26,{46,16,15}}},
  {{  5,{145,115,15}, 10,{146,116,15}},   { 19,{75,47,14}, 10,{76,48,14}},   { 15,{54,24,15}, 25,{55,25,15}},   { 23, {45,15,15}, 25,{46,16,15}}},
  {{ 13,{145,115,15},  3,{146,116,15}},   {  2,{74,46,14}, 29,{75,47,14}},   { 42,{54,24,15},  1,{55,25,15}},   { 23, {45,15,15}, 28,{46,16,15}}},
  {{ 17,{145,115,15}                 },   { 10,{74,46,14}, 23,{75,47,14}},   { 10,{54,24,15}, 35,{55,25,15}},   { 19, {45,15,15}, 35,{46,16,15}}},
  {{ 17,{145,115,15},  1,{146,116,15}},   { 14,{74,46,14}, 21,{75,47,14}},   { 29,{54,24,15}, 19,{55,25,15}},   { 11, {45,15,15}, 46,{46,16,15}}},
  {{ 13,{145,115,15},  6,{146,116,15}},   { 14,{74,46,14}, 23,{75,47,14}},   { 44,{54,24,15},  7,{55,25,15}},   { 59, {46,16,15},  1,{47,17,15}}},
  {{ 12,{151,121,15},  7,{152,122,15}},   { 12,{75,47,14}, 26,{76,48,14}},   { 39,{54,24,15}, 14,{55,25,15}},   { 22, {45,15,15}, 41,{46,16,15}}},
  {{  6,{151,121,15}, 14,{152,122,15}},   {  6,{75,47,14}, 34,{76,48,14}},   { 46,{54,24,15}, 10,{55,25,15}},   {  2, {45,15,15}, 64,{46,16,15}}},
  {{ 17,{152,122,15},  4,{153,123,15}},   { 29,{74,46,14}, 14,{75,47,14}},   { 49,{54,24,15}, 10,{55,25,15}},   { 24, {45,15,15}, 46,{46,16,15}}},
  {{  4,{152,122,15}, 18,{153,123,15}},   { 13,{74,46,14}, 32,{75,47,14}},   { 48,{54,24,15}, 14,{55,25,15}},   { 42, {45,15,15}, 32,{46,16,15}}},
  {{ 20,{147,117,15},  4,{148,118,15}},   { 40,{75,47,14},  7,{76,48,14}},   { 43,{54,24,15}, 22,{55,25,15}},   { 10, {45,15,15}, 67,{46,16,15}}},
  {{ 19,{148,118,15},  6,{149,119,15}},   { 18,{75,47,14}, 31,{76,48,14}},   { 34,{54,24,15}, 34,{55,25,15}},   { 20, {45,15,15}, 61,{46,16,15}}}
}

-- The bits that must be 0 if the version does fill the complete matrix.
-- Example: for version 1, no bits need to be added after arranging the data, for version 2 we need to add 7 bits at the end.
local remainder = {0, 7, 7, 7, 7, 7, 0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 0, 0, 0, 0, 0, 0}

-- This is the formula for table 1 in the spec:
-- function get_capacity_remainder( version )
--  local len = version * 4 + 17
--  local size = len^2
--  local function_pattern_modules = 192 + 2 * len - 32 -- Position Adjustment pattern + timing pattern
--  local count_alignemnt_pattern = #alignment_pattern[version]
--  if count_alignemnt_pattern > 0 then
--      -- add 25 for each aligment pattern
--      function_pattern_modules = function_pattern_modules + 25 * ( count_alignemnt_pattern^2 - 3 )
--      -- but substract the timing pattern occupied by the aligment pattern on the top and left
--      function_pattern_modules = function_pattern_modules - ( count_alignemnt_pattern - 2) * 10
--  end
--  size = size - function_pattern_modules
--  if version > 6 then
--      size = size - 67
--  else
--      size = size - 31
--  end
--  return math.floor(size/8),math.fmod(size,8)
-- end


--- Example: Version 5-H has four data and four error correction blocks. The table above lists
--- `2, {33,11,11},  2,{34,12,11}` for entry [5][4]. This means we take two blocks with 11 codewords
--- and two blocks with 12 codewords, and two blocks with 33 - 11 = 22 ec codes and another
--- two blocks with 34 - 12 = 22 ec codes.
---      Block 1: D1  D2  D3  ... D11
---      Block 2: D12 D13 D14 ... D22
---      Block 3: D23 D24 D25 ... D33 D34
---      Block 4: D35 D36 D37 ... D45 D46
--- Then we place the data like this in the matrix: D1, D12, D23, D35, D2, D13, D24, D36 ... D45, D34, D46.  The same goes
--- with error correction codes.

-- The given data can be a string of 0's and 1' (with #string mod 8 == 0).
-- Alternatively the data can be a table of codewords. The number of codewords
-- must match the capacity of the qr code.
local function arrange_codewords_and_calculate_ec( version,ec_level,data )
    if type(data)=="table" then
        local tmp = ""
        for i=1,#data do
            tmp = tmp .. binary(data[i],8)
        end
        data = tmp
    end
    -- If the size of the data is not enough for the codeword, we add 0's and two special bytes until finished.
    local blocks = ecblocks[version][ec_level]
    local size_datablock_bytes, size_ecblock_bytes
    local datablocks = {}
    local ecblocks = {}
    local count = 1
    local pos = 0
    local cpty_ec_bits = 0
    for i=1,#blocks/2 do
        for j=1,blocks[2*i - 1] do
            size_datablock_bytes = blocks[2*i][2]
            size_ecblock_bytes   = blocks[2*i][1] - blocks[2*i][2]
            cpty_ec_bits = cpty_ec_bits + size_ecblock_bytes * 8
            datablocks[#datablocks + 1] = string.sub(data, pos * 8 + 1,( pos + size_datablock_bytes)*8)
            tmp_tab = calculate_error_correction(datablocks[#datablocks],size_ecblock_bytes)
            tmp_str = ""
            for x=1,#tmp_tab do
                tmp_str = tmp_str .. binary(tmp_tab[x],8)
            end
            ecblocks[#ecblocks + 1] = tmp_str
            pos = pos + size_datablock_bytes
            count = count + 1
        end
    end
    local arranged_data = ""
    pos = 1
    repeat
        for i=1,#datablocks do
            if pos < #datablocks[i] then
                arranged_data = arranged_data .. string.sub(datablocks[i],pos, pos + 7)
            end
        end
        pos = pos + 8
    until #arranged_data == #data
    -- ec
    local arranged_ec = ""
    pos = 1
    repeat
        for i=1,#ecblocks do
            if pos < #ecblocks[i] then
                arranged_ec = arranged_ec .. string.sub(ecblocks[i],pos, pos + 7)
            end
        end
        pos = pos + 8
    until #arranged_ec == cpty_ec_bits
    return arranged_data .. arranged_ec
end

--- Step 4: Generate 8 matrices with different masks and calculate the penalty
--- ==========================================================================
---
--- Prepare matrix
--- --------------
--- The first step is to prepare an _empty_ matrix for a given size/mask. The matrix has a
--- few predefined areas that must be black or blank. We encode the matrix with a two
--- dimensional field where the numbers determine which pixel is blank or not.
---
--- The following code is used for our matrix:
---      0 = not in use yet,
---     -2 = blank by mandatory pattern,
---      2 = black by mandatory pattern,
---     -1 = blank by data,
---      1 = black by data
---
---
--- To prepare the _empty_, we add positioning, alingment and timing patters.

--- ### Positioning patterns ###
local function add_position_detection_patterns(tab_x)
    local size = #tab_x
    -- allocate quite zone in the matrix area
    for i=1,8 do
        for j=1,8 do
            tab_x[i][j] = -2
            tab_x[size - 8 + i][j] = -2
            tab_x[i][size - 8 + j] = -2
        end
    end
    -- draw the detection pattern (outer)
    for i=1,7 do
        -- top left
        tab_x[1][i]=2
        tab_x[7][i]=2
        tab_x[i][1]=2
        tab_x[i][7]=2

        -- top right
        tab_x[size][i]=2
        tab_x[size - 6][i]=2
        tab_x[size - i + 1][1]=2
        tab_x[size - i + 1][7]=2

        -- bottom left
        tab_x[1][size - i + 1]=2
        tab_x[7][size - i + 1]=2
        tab_x[i][size - 6]=2
        tab_x[i][size]=2
    end
    -- draw the detection pattern (inner)
    for i=1,3 do
        for j=1,3 do
            -- top left
            tab_x[2+j][i+2]=2
            -- top right
            tab_x[size - j - 1][i+2]=2
            -- bottom left
            tab_x[2 + j][size - i - 1]=2
        end
    end
end

--- ### Timing patterns ###
-- The timing patterns (two) are the dashed lines between two adjacent positioning patterns on row/column 7.
local function add_timing_pattern(tab_x)
    local line,col
    line = 7
    col = 9
    for i=col,#tab_x - 8 do
        if math.fmod(i,2) == 1 then
            tab_x[i][line] = 2
        else
            tab_x[i][line] = -2
        end
    end
    for i=col,#tab_x - 8 do
        if math.fmod(i,2) == 1 then
            tab_x[line][i] = 2
        else
            tab_x[line][i] = -2
        end
    end
end


--- ### Alignment patterns ###
--- The alignment patterns must be added to the matrix for versions > 1. The amount and positions depend on the versions and are
--- given by the spec. Beware: the patterns must not be placed where we have the positioning patterns
--- (that is: top left, top right and bottom left.)

-- For each version, where should we place the alignment patterns? See table E.1 of the spec
local alignment_pattern = {
  {},{6,18},{6,22},{6,26},{6,30},{6,34}, -- 1-6
  {6,22,38},{6,24,42},{6,26,46},{6,28,50},{6,30,54},{6,32,58},{6,34,62}, -- 7-13
  {6,26,46,66},{6,26,48,70},{6,26,50,74},{6,30,54,78},{6,30,56,82},{6,30,58,86},{6,34,62,90}, -- 14-20
  {6,28,50,72,94},{6,26,50,74,98},{6,30,54,78,102},{6,28,54,80,106},{6,32,58,84,110},{6,30,58,86,114},{6,34,62,90,118}, -- 21-27
  {6,26,50,74,98 ,122},{6,30,54,78,102,126},{6,26,52,78,104,130},{6,30,56,82,108,134},{6,34,60,86,112,138},{6,30,58,86,114,142},{6,34,62,90,118,146}, -- 28-34
  {6,30,54,78,102,126,150}, {6,24,50,76,102,128,154},{6,28,54,80,106,132,158},{6,32,58,84,110,136,162},{6,26,54,82,110,138,166},{6,30,58,86,114,142,170} -- 35 - 40
}

--- The alignment pattern has size 5x5 and looks like this:
---     XXXXX
---     X   X
---     X X X
---     X   X
---     XXXXX
local function add_alignment_pattern( tab_x )
    local version = (#tab_x - 17) / 4
    local ap = alignment_pattern[version]
    local pos_x, pos_y
    for x=1,#ap do
        for y=1,#ap do
            -- we must not put an alignment pattern on top of the positioning pattern
            if not (x == 1 and y == 1 or x == #ap and y == 1 or x == 1 and y == #ap ) then
                pos_x = ap[x] + 1
                pos_y = ap[y] + 1
                tab_x[pos_x][pos_y] = 2
                tab_x[pos_x+1][pos_y] = -2
                tab_x[pos_x-1][pos_y] = -2
                tab_x[pos_x+2][pos_y] =  2
                tab_x[pos_x-2][pos_y] =  2
                tab_x[pos_x  ][pos_y - 2] = 2
                tab_x[pos_x+1][pos_y - 2] = 2
                tab_x[pos_x-1][pos_y - 2] = 2
                tab_x[pos_x+2][pos_y - 2] = 2
                tab_x[pos_x-2][pos_y - 2] = 2
                tab_x[pos_x  ][pos_y + 2] = 2
                tab_x[pos_x+1][pos_y + 2] = 2
                tab_x[pos_x-1][pos_y + 2] = 2
                tab_x[pos_x+2][pos_y + 2] = 2
                tab_x[pos_x-2][pos_y + 2] = 2

                tab_x[pos_x  ][pos_y - 1] = -2
                tab_x[pos_x+1][pos_y - 1] = -2
                tab_x[pos_x-1][pos_y - 1] = -2
                tab_x[pos_x+2][pos_y - 1] =  2
                tab_x[pos_x-2][pos_y - 1] =  2
                tab_x[pos_x  ][pos_y + 1] = -2
                tab_x[pos_x+1][pos_y + 1] = -2
                tab_x[pos_x-1][pos_y + 1] = -2
                tab_x[pos_x+2][pos_y + 1] =  2
                tab_x[pos_x-2][pos_y + 1] =  2
            end
        end
    end
end

--- ### Type information ###
--- Let's not forget the type information that is in column 9 next to the left positioning patterns and on row 9 below
--- the top positioning patterns. This type information is not fixed, it depends on the mask and the error correction.

-- The first index is ec level (LMQH,1-4), the second is the mask (0-7). This bitstring of length 15 is to be used
-- as mandatory pattern in the qrcode. Mask -1 is for debugging purpose only and is the 'noop' mask.
local typeinfo = {
    { [-1]= "111111111111111", [0] = "111011111000100", "111001011110011", "111110110101010", "111100010011101", "110011000101111", "110001100011000", "110110001000001", "110100101110110" },
    { [-1]= "111111111111111", [0] = "101010000010010", "101000100100101", "101111001111100", "101101101001011", "100010111111001", "100000011001110", "100111110010111", "100101010100000" },
    { [-1]= "111111111111111", [0] = "011010101011111", "011000001101000", "011111100110001", "011101000000110", "010010010110100", "010000110000011", "010111011011010", "010101111101101" },
    { [-1]= "111111111111111", [0] = "001011010001001", "001001110111110", "001110011100111", "001100111010000", "000011101100010", "000001001010101", "000110100001100", "000100000111011" }
}

-- The typeinfo is a mixture of mask and ec level information and is
-- added twice to the qr code, one horizontal, one vertical.
local function add_typeinfo_to_matrix( matrix,ec_level,mask )
    local ec_mask_type = typeinfo[ec_level][mask]

    local bit
    -- vertical from bottom to top
    for i=1,7 do
        bit = string.sub(ec_mask_type,i,i)
        fill_matrix_position(matrix, bit, 9, #matrix - i + 1)
    end
    for i=8,9 do
        bit = string.sub(ec_mask_type,i,i)
        fill_matrix_position(matrix,bit,9,17-i)
    end
    for i=10,15 do
        bit = string.sub(ec_mask_type,i,i)
        fill_matrix_position(matrix,bit,9,16 - i)
    end
    -- horizontal, left to right
    for i=1,6 do
        bit = string.sub(ec_mask_type,i,i)
        fill_matrix_position(matrix,bit,i,9)
    end
    bit = string.sub(ec_mask_type,7,7)
    fill_matrix_position(matrix,bit,8,9)
    for i=8,15 do
        bit = string.sub(ec_mask_type,i,i)
        fill_matrix_position(matrix,bit,#matrix - 15 + i,9)
    end
end

-- Bits for version information 7-40
local version_information = {"001010010011111000", "000111101101000100", "100110010101100100","011001011001010100",
  "011011111101110100", "001000110111001100", "111000100001101100", "010110000011011100", "000101001001111100",
  "000111101101000010", "010111010001100010", "111010000101010010", "001001100101110010", "011001011001001010",
  "011000001011101010", "100100110001011010", "000110111111111010", "001000110111000110", "000100001111100110",
  "110101011111010110", "000001110001110110", "010110000011001110", "001111110011101110", "101011101011011110",
  "000000101001111110", "101010111001000001", "000001111011100001", "010111010001010001", "011111001111110001",
  "110100001101001001", "001110100001101001", "001001100101011001", "010000010101111001", "100101100011000101" }

-- Versions 7 and above need two bitfields with version information added to the code
local function add_version_information(matrix,version)
    if version < 7 then return end
    local size = #matrix
    local bitstring = version_information[version - 6]
    local x,y, bit
    local start_x, start_y
    -- first top right
    start_x = #matrix - 10
    start_y = 1
    for i=1,#bitstring do
        bit = string.sub(bitstring,i,i)
        x = start_x + math.fmod(i - 1,3)
        y = start_y + math.floor( (i - 1) / 3 )
        fill_matrix_position(matrix,bit,x,y)
    end

    -- now bottom left
    start_x = 1
    start_y = #matrix - 10
    for i=1,#bitstring do
        bit = string.sub(bitstring,i,i)
        x = start_x + math.floor( (i - 1) / 3 )
        y = start_y + math.fmod(i - 1,3)
        fill_matrix_position(matrix,bit,x,y)
    end
end

--- Now it's time to use the methods above to create a prefilled matrix for the given mask
local function prepare_matrix_with_mask( version,ec_level, mask )
    local size
    local tab_x = {}

    size = version * 4 + 17
    for i=1,size do
        tab_x[i]={}
        for j=1,size do
            tab_x[i][j] = 0
        end
    end
    add_position_detection_patterns(tab_x)
    add_timing_pattern(tab_x)
    add_version_information(tab_x,version)

    -- black pixel above lower left position detection pattern
    tab_x[9][size - 7] = 2
    add_alignment_pattern(tab_x)
    add_typeinfo_to_matrix(tab_x,ec_level, mask)
    return tab_x
end

--- Finally we come to the place where we need to put the calculated data (remember step 3?) into the qr code.
--- We do this for each mask. BTW speaking of mask, this is what we find in the spec:
---      Mask Pattern Reference   Condition
---      000                      (y + x) mod 2 = 0
---      001                      y mod 2 = 0
---      010                      x mod 3 = 0
---      011                      (y + x) mod 3 = 0
---      100                      ((y div 2) + (x div 3)) mod 2 = 0
---      101                      (y x) mod 2 + (y x) mod 3 = 0
---      110                      ((y x) mod 2 + (y x) mod 3) mod 2 = 0
---      111                      ((y x) mod 3 + (y+x) mod 2) mod 2 = 0

-- Return 1 (black) or -1 (blank) depending on the mask, value and position.
-- Parameter mask is 0-7 (-1 for 'no mask'). x and y are 1-based coordinates,
-- 1,1 = upper left. tonumber(value) must be 0 or 1.
local function get_pixel_with_mask( mask, x,y,value )
    x = x - 1
    y = y - 1
    local invert = false
    -- test purpose only:
    if mask == -1 then
        -- ignore, no masking applied
    elseif mask == 0 then
        if math.fmod(x + y,2) == 0 then invert = true end
    elseif mask == 1 then
        if math.fmod(y,2) == 0 then invert = true end
    elseif mask == 2 then
        if math.fmod(x,3) == 0 then invert = true end
    elseif mask == 3 then
        if math.fmod(x + y,3) == 0 then invert = true end
    elseif mask == 4 then
        if math.fmod(math.floor(y / 2) + math.floor(x / 3),2) == 0 then invert = true end
    elseif mask == 5 then
        if math.fmod(x * y,2) + math.fmod(x * y,3) == 0 then invert = true end
    elseif mask == 6 then
        if math.fmod(math.fmod(x * y,2) + math.fmod(x * y,3),2) == 0 then invert = true end
    elseif mask == 7 then
        if math.fmod(math.fmod(x * y,3) + math.fmod(x + y,2),2) == 0 then invert = true end
    else
        assert(false,"This can't happen (mask must be <= 7)")
    end
    if invert then
        -- value = 1? -> -1, value = 0? -> 1
        return 1 - 2 * tonumber(value)
    else
        -- value = 1? -> 1, value = 0? -> -1
        return -1 + 2*tonumber(value)
    end
end


-- We need up to 8 positions in the matrix. Only the last few bits may be less then 8.
-- The function returns a table of (up to) 8 entries with subtables where
-- the x coordinate is the first and the y coordinate is the second entry.
function get_next_free_positions(matrix,x,y,dir,byte)
    local ret = {}
    local count = 1
    local mode = "right"
    while count <= #byte do
        if mode == "right" and matrix[x][y] == 0 then
            ret[#ret + 1] = {x,y}
            mode = "left"
            count = count + 1
        elseif mode == "left" and matrix[x-1][y] == 0 then
            ret[#ret + 1] = {x-1,y}
            mode = "right"
            count = count + 1
            if dir == "up" then
                y = y - 1
            else
                y = y + 1
            end
        elseif mode == "right" and matrix[x-1][y] == 0 then
            ret[#ret + 1] = {x-1,y}
            count = count + 1
            if dir == "up" then
                y = y - 1
            else
                y = y + 1
            end
        else
            if dir == "up" then
                y = y - 1
            else
                y = y + 1
            end
        end
        if y < 1 or y > #matrix then
            x = x - 2
            -- don't overwrite the timing pattern
            if x == 7 then x = 6 end
            if dir == "up" then
                dir = "down"
                y = 1
            else
                dir = "up"
                y = #matrix
            end
        end
    end
    return ret,x,y,dir
end

-- Add the data string (0's and 1's) to the matrix for the given mask.
local function add_data_to_matrix(matrix,data,mask)
    size = #matrix
    local x,y,positions
    local _x,_y,m
    local dir = "up"
    local byte_number = 0
    x,y = size,size
    string.gsub(data,".?.?.?.?.?.?.?.?",function ( byte )
        byte_number = byte_number + 1
        positions,x,y,dir = get_next_free_positions(matrix,x,y,dir,byte,mask)
        for i=1,#byte do
            _x = positions[i][1]
            _y = positions[i][2]
            m = get_pixel_with_mask(mask,_x,_y,string.sub(byte,i,i))
            if debugging then
                matrix[_x][_y] = m * (i + 10)
            else
                matrix[_x][_y] = m
            end
        end
    end)
end


--- The total penalty of the matrix is the sum of four steps. The following steps are taken into account:
---
--- 1. Adjacent modules in row/column in same color
--- 1. Block of modules in same color
--- 1. 1:1:3:1:1 ratio (dark:light:dark:light:dark) pattern in row/column
--- 1. Proportion of dark modules in entire symbol
---
--- This all is done to avoid bad patterns in the code that prevent the scanner from
--- reading the code.
-- Return the penalty for the given matrix
local function calculate_penalty(matrix)
    local penalty1, penalty2, penalty3, penalty4 = 0,0,0,0
    local size = #matrix
    -- this is for penalty 4
    local number_of_dark_cells = 0

    -- 1: Adjacent modules in row/column in same color
    -- --------------------------------------------
    -- No. of modules = (5+i)  -> 3 + i
    local last_bit_blank -- < 0:  blank, > 0: black
    local is_blank
    local number_of_consecutive_bits
    -- first: vertical
    for x=1,size do
        number_of_consecutive_bits = 0
        last_bit_blank = nil
        for y = 1,size do
            if matrix[x][y] > 0 then
                -- small optimization: this is for penalty 4
                number_of_dark_cells = number_of_dark_cells + 1
                is_blank = false
            else
                is_blank = true
            end
            is_blank = matrix[x][y] < 0
            if last_bit_blank == is_blank then
                number_of_consecutive_bits = number_of_consecutive_bits + 1
            else
                if number_of_consecutive_bits >= 5 then
                    penalty1 = penalty1 + number_of_consecutive_bits - 2
                end
                number_of_consecutive_bits = 1
            end
            last_bit_blank = is_blank
        end
        if number_of_consecutive_bits >= 5 then
            penalty1 = penalty1 + number_of_consecutive_bits - 2
        end
    end
    -- now horizontal
    for y=1,size do
        number_of_consecutive_bits = 0
        last_bit_blank = nil
        for x = 1,size do
            is_blank = matrix[x][y] < 0
            if last_bit_blank == is_blank then
                number_of_consecutive_bits = number_of_consecutive_bits + 1
            else
                if number_of_consecutive_bits >= 5 then
                    penalty1 = penalty1 + number_of_consecutive_bits - 2
                end
                number_of_consecutive_bits = 1
            end
            last_bit_blank = is_blank
        end
        if number_of_consecutive_bits >= 5 then
            penalty1 = penalty1 + number_of_consecutive_bits - 2
        end
    end
    for x=1,size do
        for y=1,size do
            -- 2: Block of modules in same color
            -- -----------------------------------
            -- Blocksize = m × n  -> 3 × (m-1) × (n-1)
            if (y < size - 1) and ( x < size - 1) and ( (matrix[x][y] < 0 and matrix[x+1][y] < 0 and matrix[x][y+1] < 0 and matrix[x+1][y+1] < 0) or (matrix[x][y] > 0 and matrix[x+1][y] > 0 and matrix[x][y+1] > 0 and matrix[x+1][y+1] > 0) ) then
                penalty2 = penalty2 + 3
            end

            -- 3: 1:1:3:1:1 ratio (dark:light:dark:light:dark) pattern in row/column
            -- ------------------------------------------------------------------
            -- Gives 40 points each
            --
            -- I have no idea why we need the extra 0000 on left or right side. The spec doesn't mention it,
            -- other sources do mention it. This is heavily inspired by zxing.
            if (y + 6 < size and
                matrix[x][y] > 0 and
                matrix[x][y +  1] < 0 and
                matrix[x][y +  2] > 0 and
                matrix[x][y +  3] > 0 and
                matrix[x][y +  4] > 0 and
                matrix[x][y +  5] < 0 and
                matrix[x][y +  6] > 0 and
                ((y + 10 < size and
                    matrix[x][y +  7] < 0 and
                    matrix[x][y +  8] < 0 and
                    matrix[x][y +  9] < 0 and
                    matrix[x][y + 10] < 0) or
                 (y - 4 >= 1 and
                    matrix[x][y -  1] < 0 and
                    matrix[x][y -  2] < 0 and
                    matrix[x][y -  3] < 0 and
                    matrix[x][y -  4] < 0))) then penalty3 = penalty3 + 40 end
            if (x + 6 <= size and
                matrix[x][y] > 0 and
                matrix[x +  1][y] < 0 and
                matrix[x +  2][y] > 0 and
                matrix[x +  3][y] > 0 and
                matrix[x +  4][y] > 0 and
                matrix[x +  5][y] < 0 and
                matrix[x +  6][y] > 0 and
                ((x + 10 <= size and
                    matrix[x +  7][y] < 0 and
                    matrix[x +  8][y] < 0 and
                    matrix[x +  9][y] < 0 and
                    matrix[x + 10][y] < 0) or
                 (x - 4 >= 1 and
                    matrix[x -  1][y] < 0 and
                    matrix[x -  2][y] < 0 and
                    matrix[x -  3][y] < 0 and
                    matrix[x -  4][y] < 0))) then penalty3 = penalty3 + 40 end
        end
    end
    -- 4: Proportion of dark modules in entire symbol
    -- ----------------------------------------------
    -- 50 ± (5 × k)% to 50 ± (5 × (k + 1))% -> 10 × k
    local dark_ratio = number_of_dark_cells / ( size * size )
    penalty4 = math.floor(math.abs(dark_ratio * 100 - 50)) * 2
    return penalty1 + penalty2 + penalty3 + penalty4
end

-- Create a matrix for the given parameters and calculate the penalty score.
-- Return both (matrix and penalty)
local function get_matrix_and_penalty(version,ec_level,data,mask)
    local tab = prepare_matrix_with_mask(version,ec_level,mask)
    add_data_to_matrix(tab,data,mask)
    local penalty = calculate_penalty(tab)
    return tab, penalty
end

-- Return the matrix with the smallest penalty. To to this
-- we try out the matrix for all 8 masks and determine the
-- penalty (score) each.
local function get_matrix_with_lowest_penalty(version,ec_level,data)
    local tab, penalty
    local tab_min_penalty, min_penalty

    -- try masks 0-7
    tab_min_penalty, min_penalty = get_matrix_and_penalty(version,ec_level,data,0)
    for i=1,7 do
        tab, penalty = get_matrix_and_penalty(version,ec_level,data,i)
        if penalty < min_penalty then
            tab_min_penalty = tab
            min_penalty = penalty
        end
    end
    return tab_min_penalty
end

--- The main function. We connect everything together. Remember from above:
---
--- 1. Determine version, ec level and mode (=encoding) for codeword
--- 1. Encode data
--- 1. Arrange data and calculate error correction code
--- 1. Generate 8 matrices with different masks and calculate the penalty
--- 1. Return qrcode with least penalty
-- If ec_level or mode is given, use the ones for generating the qrcode. (mode is not implemented yet)
local function qrcode( str, ec_level, mode )
    local arranged_data, version, ec_level, data_raw, mode, len_bitstring
    version, ec_level, data_raw, mode, len_bitstring = get_version_eclevel_mode_bistringlength(str)
    data_raw = data_raw .. len_bitstring
    data_raw = data_raw .. encode_data(str,mode)
    data_raw = add_pad_data(version,ec_level,data_raw)
    arranged_data = arrange_codewords_and_calculate_ec(version,ec_level,data_raw)
    if math.fmod(#arranged_data,8) ~= 0 then
        return false, string.format("Arranged data %% 8 != 0: data length = %d, mod 8 = %d",#arranged_data, math.fmod(#arranged_data,8))
    end
    arranged_data = arranged_data .. string.rep("0",remainder[version])
    local tab = get_matrix_with_lowest_penalty(version,ec_level,arranged_data)
    return true, tab
end

local L = LibStub('AceLocale-3.0'):GetLocale('NetEaseGUI-2.0')

function QRCodeWidget:Constructor()
    local CodeFrame = CreateFrame('Frame', nil, self)
    CodeFrame:SetPoint('TOPLEFT', 10, -10)
    CodeFrame:SetPoint('BOTTOMRIGHT', -10, 10)

    self:SetNormalFontObject('GameFontNormal')
    self:SetHighlightFontObject('GameFontGreen')

    self.CodeFrame = CodeFrame

    self.regions = {}

    self:SetScript('OnClick', self.OnClick)

    local bg = self:CreateTexture(nil, 'BACKGROUND')
    bg:SetAllPoints(true)
    bg:SetColorTexture(1, 1, 1)
end

function QRCodeWidget:SetValue(value)
    if type(value) ~= 'string' then
        error(([[bad argument #1 to 'SetValue' (string expected, got %s)]]):format(type(value)), 2)
    end
    if value == self.value then
        return
    end

    local ok, info = qrcode(value)

    self.info = info
    self.value = value
    self.size = #info
    self:Refresh()
end

function QRCodeWidget:SetNoSmall(flag)
    self.noSmall = flag
end

function QRCodeWidget:SetMargin(margin)
    self.CodeFrame:SetPoint('TOPLEFT', margin, -margin)
    self.CodeFrame:SetPoint('BOTTOMRIGHT', -margin, margin)
    self:Refresh()
end

function QRCodeWidget:GetValue()
    return self.value
end

function QRCodeWidget:Done()
    self:SetScript('OnUpdate', nil)
    self.CodeFrame:Show()
    self:SetText('')
end

function QRCodeWidget:Clear()
    for i = 1, self.size do
        local region = self:PickupRegion()
        if not region then
            return self:SetScript('OnUpdate', self.Done)
        else
            region:Hide()
        end
    end
end

function QRCodeWidget:Update()
    local y = self.y
    if y > self.size then
        return self:SetScript('OnUpdate', self.Clear)
    end

    local x = 1
    while x <= size do
        local length = 1
        local value = self:GetCodeValue(x, y)
        if value and value > 0 then
            while x + length <= size do
                local value = self:GetCodeValue(x + length, y)
                if not value or value < 0 then
                    break
                end
                length = length + 1
            end

            -- print(length)

            local region = self:PickupRegion(true)
            region:SetSize(self.regionSize*length, self.regionSize)
            region:SetPoint('TOPLEFT', (x-1)*self.regionSize, -(y-1)*self.regionSize)
            region:Show()
        end
        x = x + length
    end
    self.y = y + 1
end

function QRCodeWidget:PickupRegion(force)
    self.regionIndex = self.regionIndex + 1

    if self.regions[self.regionIndex] then
        return self.regions[self.regionIndex]
    elseif force then
        return self:MakeRegion()
    end
end

function QRCodeWidget:MakeRegion()
    local region = self.CodeFrame:CreateTexture(nil, 'ARTWORK')
    region:SetColorTexture(0,0,0)

    tinsert(self.regions, region)

    return region
end

function QRCodeWidget:GetCodeValue(x, y)
    return self.info[x] and self.info[x][y] or nil
end

function QRCodeWidget:Refresh()
    if not self.value then
        return
    end
    
    self.regionSize = self.CodeFrame:GetWidth() / self.size
    self.regionIndex = 0
    self.y = 1

    if not self.noSmall and self.regionSize < 3 then
        self.CodeFrame:Hide()
        self:SetText(L.QRCodeTooSmall)
    else
        self.CodeFrame:Hide()
        self:SetText(L.QRCodeLoading)
        self:SetScript('OnUpdate', self.Update)
    end
end

function QRCodeWidget:OnClick()
    if not self.noSmall and self.regionSize < 3 then
        self:OpenPublicFrame(self:GetValue())
    end
end

function QRCodeWidget:CreateBigQRFrame()
    local BigQRFrame = GUI:GetClass('TitlePanel'):New(UIParent) do
        BigQRFrame:SetFrameStrata('DIALOG')
        BigQRFrame:SetText(L.QRCode)
        BigQRFrame:SetPoint('CENTER')
        BigQRFrame:SetSize(250, 285)
    end

    local QRWidget = QRCodeWidget:New(BigQRFrame) do
        QRWidget:SetPoint('BOTTOM', 0, 35)
        QRWidget:SetSize(220, 220)
        QRWidget.noSmall = true
    end

    local Label = BigQRFrame:CreateFontString(nil, 'ARTWORK', 'GameFontNormal') do
        Label:SetPoint('BOTTOM', 0, 15)
    end

    BigQRFrame.QRWidget = QRWidget
    BigQRFrame.Label = Label
    QRCodeWidget.BigQRFrame = BigQRFrame

    function BigQRFrame:Open(value, title)
        self.QRWidget:SetValue(value)
        self.Label:SetText(format(L.QRCodeSummary, title or L.QRCodeDefaultApp))
        self:Show()
    end
    return BigQRFrame
end

function QRCodeWidget:OpenPublicFrame(value, title)
    local BigQRFrame = self.BigQRFrame or self:CreateBigQRFrame()
    BigQRFrame:Open(value)
end