defmodule QRCode.ErrorCorrection do @moduledoc """ Error correction code words and block information. """ alias QRCode.{QR, Polynom} alias QRCode.GeneratorPolynomial, as: GP import QRCode.QR, only: [level: 1, version: 1] @type groups() :: {[[], ...], [[]]} @type codewords() :: groups() @type t() :: %__MODULE__{ ec_codewrods_per_block: ExMaybe.t(integer()), blocks_in_group1: ExMaybe.t(integer()), codewords_per_block_in_group1: ExMaybe.t(integer()), blocks_in_group2: ExMaybe.t(integer()), codewords_per_block_in_group2: ExMaybe.t(integer()), groups: ExMaybe.t(groups()), codewords: ExMaybe.t(codewords()) } defstruct ec_codewrods_per_block: nil, blocks_in_group1: nil, codewords_per_block_in_group1: nil, blocks_in_group2: nil, codewords_per_block_in_group2: nil, groups: nil, codewords: nil @ecc_table [ [ low: {7, 1, 19, 0, 0}, medium: {10, 1, 16, 0, 0}, quartile: {13, 1, 13, 0, 0}, high: {17, 1, 9, 0, 0} ], [ low: {10, 1, 34, 0, 0}, medium: {16, 1, 28, 0, 0}, quartile: {22, 1, 22, 0, 0}, high: {28, 1, 16, 0, 0} ], [ low: {15, 1, 55, 0, 0}, medium: {26, 1, 44, 0, 0}, quartile: {18, 2, 17, 0, 0}, high: {22, 2, 13, 0, 0} ], [ low: {20, 1, 80, 0, 0}, medium: {18, 2, 32, 0, 0}, quartile: {26, 2, 24, 0, 0}, high: {16, 4, 9, 0, 0} ], [ low: {26, 1, 108, 0, 0}, medium: {24, 2, 43, 0, 0}, quartile: {18, 2, 15, 2, 16}, high: {22, 2, 11, 2, 12} ], [ low: {18, 2, 68, 0, 0}, medium: {16, 4, 27, 0, 0}, quartile: {24, 4, 19, 0, 0}, high: {28, 4, 15, 0, 0} ], [ low: {20, 2, 78, 0, 0}, medium: {18, 4, 31, 0, 0}, quartile: {18, 2, 14, 4, 15}, high: {26, 4, 13, 1, 14} ], [ low: {24, 2, 97, 0, 0}, medium: {22, 2, 38, 2, 39}, quartile: {22, 4, 18, 2, 19}, high: {26, 4, 14, 2, 15} ], [ low: {30, 2, 116, 0, 0}, medium: {22, 3, 36, 2, 37}, quartile: {20, 4, 16, 4, 17}, high: {24, 4, 12, 4, 13} ], [ low: {18, 2, 68, 2, 69}, medium: {26, 4, 43, 1, 44}, quartile: {24, 6, 19, 2, 20}, high: {28, 6, 15, 2, 16} ], [ low: {20, 4, 81, 0, 0}, medium: {30, 1, 50, 4, 51}, quartile: {28, 4, 22, 4, 23}, high: {24, 3, 12, 8, 13} ], [ low: {24, 2, 92, 2, 93}, medium: {22, 6, 36, 2, 37}, quartile: {26, 4, 20, 6, 21}, high: {28, 7, 14, 4, 15} ], [ low: {26, 4, 107, 0, 0}, medium: {22, 8, 37, 1, 38}, quartile: {24, 8, 20, 4, 21}, high: {22, 12, 11, 4, 12} ], [ low: {30, 3, 115, 1, 116}, medium: {24, 4, 40, 5, 41}, quartile: {20, 11, 16, 5, 17}, high: {24, 11, 12, 5, 13} ], [ low: {22, 5, 87, 1, 88}, medium: {24, 5, 41, 5, 42}, quartile: {30, 5, 24, 7, 25}, high: {24, 11, 12, 7, 13} ], [ low: {24, 5, 98, 1, 99}, medium: {28, 7, 45, 3, 46}, quartile: {24, 15, 19, 2, 20}, high: {30, 3, 15, 13, 16} ], [ low: {28, 1, 107, 5, 108}, medium: {28, 10, 46, 1, 47}, quartile: {28, 1, 22, 15, 23}, high: {28, 2, 14, 17, 15} ], [ low: {30, 5, 120, 1, 121}, medium: {26, 9, 43, 4, 44}, quartile: {28, 17, 22, 1, 23}, high: {28, 2, 14, 19, 15} ], [ low: {28, 3, 113, 4, 114}, medium: {26, 3, 44, 11, 45}, quartile: {26, 17, 21, 4, 22}, high: {26, 9, 13, 16, 14} ], [ low: {28, 3, 107, 5, 108}, medium: {26, 3, 41, 13, 42}, quartile: {30, 15, 24, 5, 25}, high: {28, 15, 15, 10, 16} ], [ low: {28, 4, 116, 4, 117}, medium: {26, 17, 42, 0, 0}, quartile: {28, 17, 22, 6, 23}, high: {30, 19, 16, 6, 17} ], [ low: {28, 2, 111, 7, 112}, medium: {28, 17, 46, 0, 0}, quartile: {30, 7, 24, 16, 25}, high: {24, 34, 13, 0, 0} ], [ low: {30, 4, 121, 5, 122}, medium: {28, 4, 47, 14, 48}, quartile: {30, 11, 24, 14, 25}, high: {30, 16, 15, 14, 16} ], [ low: {30, 6, 117, 4, 118}, medium: {28, 6, 45, 14, 46}, quartile: {30, 11, 24, 16, 25}, high: {30, 30, 16, 2, 17} ], [ low: {26, 8, 106, 4, 107}, medium: {28, 8, 47, 13, 48}, quartile: {30, 7, 24, 22, 25}, high: {30, 22, 15, 13, 16} ], [ low: {28, 10, 114, 2, 115}, medium: {28, 19, 46, 4, 47}, quartile: {28, 28, 22, 6, 23}, high: {30, 33, 16, 4, 17} ], [ low: {30, 8, 122, 4, 123}, medium: {28, 22, 45, 3, 46}, quartile: {30, 8, 23, 26, 24}, high: {30, 12, 15, 28, 16} ], [ low: {30, 3, 117, 10, 118}, medium: {28, 3, 45, 23, 46}, quartile: {30, 4, 24, 31, 25}, high: {30, 11, 15, 31, 16} ], [ low: {30, 7, 116, 7, 117}, medium: {28, 21, 45, 7, 46}, quartile: {30, 1, 23, 37, 24}, high: {30, 19, 15, 26, 16} ], [ low: {30, 5, 115, 10, 116}, medium: {28, 19, 47, 10, 48}, quartile: {30, 15, 24, 25, 25}, high: {30, 23, 15, 25, 16} ], [ low: {30, 13, 115, 3, 116}, medium: {28, 2, 46, 29, 47}, quartile: {30, 42, 24, 1, 25}, high: {30, 23, 15, 28, 16} ], [ low: {30, 17, 115, 0, 0}, medium: {28, 10, 46, 23, 47}, quartile: {30, 10, 24, 35, 25}, high: {30, 19, 15, 35, 16} ], [ low: {30, 17, 115, 1, 116}, medium: {28, 14, 46, 21, 47}, quartile: {30, 29, 24, 19, 25}, high: {30, 11, 15, 46, 16} ], [ low: {30, 13, 115, 6, 116}, medium: {28, 14, 46, 23, 47}, quartile: {30, 44, 24, 7, 25}, high: {30, 59, 16, 1, 17} ], [ low: {30, 12, 121, 7, 122}, medium: {28, 12, 47, 26, 48}, quartile: {30, 39, 24, 14, 25}, high: {30, 22, 15, 41, 16} ], [ low: {30, 6, 121, 14, 122}, medium: {28, 6, 47, 34, 48}, quartile: {30, 46, 24, 10, 25}, high: {30, 2, 15, 64, 16} ], [ low: {30, 17, 122, 4, 123}, medium: {28, 29, 46, 14, 47}, quartile: {30, 49, 24, 10, 25}, high: {30, 24, 15, 46, 16} ], [ low: {30, 4, 122, 18, 123}, medium: {28, 13, 46, 32, 47}, quartile: {30, 48, 24, 14, 25}, high: {30, 42, 15, 32, 16} ], [ low: {30, 20, 117, 4, 118}, medium: {28, 40, 47, 7, 48}, quartile: {30, 43, 24, 22, 25}, high: {30, 10, 15, 67, 16} ], [ low: {30, 19, 118, 6, 119}, medium: {28, 18, 47, 31, 48}, quartile: {30, 34, 24, 34, 25}, high: {30, 20, 15, 61, 16} ] ] @spec total_data_codewords(QR.t()) :: integer() def total_data_codewords(%QR{version: version, ecc_level: level}) when version(version) and level(level) do version |> get_ecc_row(level) |> compute_total_data_codewords() end @spec put(QR.t()) :: QR.t() def put(%QR{encoded: data, version: version, ecc_level: level} = qr) when version(version) and level(level) do %{ qr | ecc: %__MODULE__{} |> put_info(version, level) |> put_groups(data) |> put_codewords() } end defp put_info(%__MODULE__{} = ecc, version, level) do {ec_codewrods_per_block, blocks_in_group1, codewords_in_group1, blocks_in_group2, codewords_in_group2} = get_ecc_row(version, level) %{ ecc | ec_codewrods_per_block: ec_codewrods_per_block, blocks_in_group1: blocks_in_group1, codewords_per_block_in_group1: codewords_in_group1, blocks_in_group2: blocks_in_group2, codewords_per_block_in_group2: codewords_in_group2 } end defp put_groups(%__MODULE__{} = ecc, data) do bytes_in_group1 = ecc.blocks_in_group1 * ecc.codewords_per_block_in_group1 bytes_in_group2 = ecc.blocks_in_group2 * ecc.codewords_per_block_in_group2 <> = data %{ ecc | groups: {group(data_group1, ecc.blocks_in_group1, ecc.codewords_per_block_in_group1), group(data_group2, ecc.blocks_in_group2, ecc.codewords_per_block_in_group2)} } end defp put_codewords(%__MODULE__{groups: {g1, g2}, ec_codewrods_per_block: codewords} = ecc) do %{ecc | codewords: {compute_codewords(g1, codewords), compute_codewords(g2, codewords)}} end defp get_ecc_row(version, level) do @ecc_table |> Enum.at(version - 1) |> Keyword.get(level) end defp compute_codewords(group, codewords) do divisor = GP.create(codewords) Enum.map(group, &Polynom.div(&1, divisor)) end defp compute_total_data_codewords( {_, blocks_in_group1, codewords_in_group1, blocks_in_group2, codewords_in_group2} ) do blocks_in_group1 * codewords_in_group1 + blocks_in_group2 * codewords_in_group2 end defp group("", 0, _codewords) do [] end defp group(data, blocks, codewords) do <> = data [block(block_data, codewords) | group(rest, blocks - 1, codewords)] end defp block("", 0) do [] end defp block(<>, codewords) do [codeword | block(rest, codewords - 1)] end end