// written based on https://www.thonky.com/qr-code-tutorial/ and https://tomverbeure.github.io/2022/08/07/Reed-Solomon.html #include #include #include #include #include #include #include #include #include struct BitStream { void append(uint32_t value, size_t bits) { for (size_t i = bits; i > 0; i--) { if ((length % 8) == 0) data.emplace_back(0); data.back() <<= 1; if ((value >> (i - 1)) & 1) data.back() |= 1; length++; } } bool operator[](size_t index) const { assert(index < length); const size_t byte = index / 8; const size_t bit = index % 8; const size_t bits = std::min(8, length - byte * 8); return !!((data[byte] >> (bits - bit - 1)) & 1); } std::vector data; size_t length { 0 }; }; struct GF256 { consteval GF256() { uint8_t x = 1; for (size_t i = 0; i < 256; i++) { log[x] = i; exp[i] = x; const uint16_t next = x << 1; x = (next < 256) ? next : next ^ 285; } for (size_t i = 255; i < 512; i++) exp[i] = exp[i - 255]; log[0] = -1; log[1] = 0; } constexpr uint8_t mult(uint8_t a, uint8_t b) const { if (a == 0 || b == 0) return 0; return exp[log[a] + log[b]]; } uint8_t exp[512]; uint8_t log[256]; }; static constexpr GF256 s_gf256; // s_qr_capacities[x - 1][y] tells the number of bytes version x qr code with error correction y fits constexpr size_t s_qr_capacities[][4] { { 17, 14, 11, 7 }, { 32, 26, 20, 14 }, { 53, 42, 32, 24 }, { 78, 62, 46, 34 }, { 106, 84, 60, 44 }, { 134, 106, 74, 58 }, { 154, 122, 86, 64 }, { 192, 152, 108, 84 }, { 230, 180, 130, 98 }, { 271, 213, 151, 119 }, { 321, 251, 177, 137 }, { 367, 287, 203, 155 }, { 425, 331, 241, 177 }, { 458, 362, 258, 194 }, { 520, 412, 292, 220 }, { 586, 450, 322, 250 }, { 644, 504, 364, 280 }, { 718, 560, 394, 310 }, { 792, 624, 442, 338 }, { 858, 666, 482, 382 }, { 929, 711, 509, 403 }, { 1003, 779, 565, 439 }, { 1091, 857, 611, 461 }, { 1171, 911, 661, 511 }, { 1273, 997, 715, 535 }, { 1367, 1059, 751, 593 }, { 1465, 1125, 805, 625 }, { 1528, 1190, 868, 658 }, { 1628, 1264, 908, 698 }, { 1732, 1370, 982, 742 }, { 1840, 1452, 1030, 790 }, { 1952, 1538, 1112, 842 }, { 2068, 1628, 1168, 898 }, { 2188, 1722, 1228, 958 }, { 2303, 1809, 1283, 983 }, { 2431, 1911, 1351, 1051 }, { 2563, 1989, 1423, 1093 }, { 2699, 2099, 1499, 1139 }, { 2809, 2213, 1579, 1219 }, { 2953, 2331, 1663, 1273 }, }; /* s_ec_block_info[x - 1][y] describes qr code with version x and error correction y elements: - ec codewords per block - number of blocks in group 1 - number of data codewords in group 1 blocks - number of blocks in group 2 - number of data codewords in group 2 blocks */ static constexpr uint8_t s_ec_block_info[][4][5] { { { 7, 1, 19, 0, 0 }, { 10, 1, 16, 0, 0 }, { 13, 1, 13, 0, 0 }, { 17, 1, 9, 0, 0 }, }, { { 10, 1, 34, 0, 0 }, { 16, 1, 28, 0, 0 }, { 22, 1, 22, 0, 0 }, { 28, 1, 16, 0, 0 }, }, { { 15, 1, 55, 0, 0 }, { 26, 1, 44, 0, 0 }, { 18, 2, 17, 0, 0 }, { 22, 2, 13, 0, 0 }, }, { { 20, 1, 80, 0, 0 }, { 18, 2, 32, 0, 0 }, { 26, 2, 24, 0, 0 }, { 16, 4, 9, 0, 0 }, }, { { 26, 1, 108, 0, 0 }, { 24, 2, 43, 0, 0 }, { 18, 2, 15, 2, 16 }, { 22, 2, 11, 2, 12 }, }, { { 18, 2, 68, 0, 0 }, { 16, 4, 27, 0, 0 }, { 24, 4, 19, 0, 0 }, { 28, 4, 15, 0, 0 }, }, { { 20, 2, 78, 0, 0 }, { 18, 4, 31, 0, 0 }, { 18, 2, 14, 4, 15 }, { 26, 4, 13, 1, 14 }, }, { { 24, 2, 97, 0, 0 }, { 22, 2, 38, 2, 39 }, { 22, 4, 18, 2, 19 }, { 26, 4, 14, 2, 15 }, }, { { 30, 2, 116, 0, 0 }, { 22, 3, 36, 2, 37 }, { 20, 4, 16, 4, 17 }, { 24, 4, 12, 4, 13 }, }, { { 18, 2, 68, 2, 69 }, { 26, 4, 43, 1, 44 }, { 24, 6, 19, 2, 20 }, { 28, 6, 15, 2, 16 }, }, { { 20, 4, 81, 0, 0 }, { 30, 1, 50, 4, 51 }, { 28, 4, 22, 4, 23 }, { 24, 3, 12, 8, 13 }, }, { { 24, 2, 92, 2, 93 }, { 22, 6, 36, 2, 37 }, { 26, 4, 20, 6, 21 }, { 28, 7, 14, 4, 15 }, }, { { 26, 4, 107, 0, 0 }, { 22, 8, 37, 1, 38 }, { 24, 8, 20, 4, 21 }, { 22, 12, 11, 4, 12 }, }, { { 30, 3, 115, 1, 116 }, { 24, 4, 40, 5, 41 }, { 20, 11, 16, 5, 17 }, { 24, 11, 12, 5, 13 }, }, { { 22, 5, 87, 1, 88 }, { 24, 5, 41, 5, 42 }, { 30, 5, 24, 7, 25 }, { 24, 11, 12, 7, 13 }, }, { { 24, 5, 98, 1, 99 }, { 28, 7, 45, 3, 46 }, { 24, 15, 19, 2, 20 }, { 30, 3, 15, 13, 16 }, }, { { 28, 1, 107, 5, 108 }, { 28, 10, 46, 1, 47 }, { 28, 1, 22, 15, 23 }, { 28, 2, 14, 17, 15 }, }, { { 30, 5, 120, 1, 121 }, { 26, 9, 43, 4, 44 }, { 28, 17, 22, 1, 23 }, { 28, 2, 14, 19, 15 }, }, { { 28, 3, 113, 4, 114 }, { 26, 3, 44, 11, 45 }, { 26, 17, 21, 4, 22 }, { 26, 9, 13, 16, 14 }, }, { { 28, 3, 107, 5, 108 }, { 26, 3, 41, 13, 42 }, { 30, 15, 24, 5, 25 }, { 28, 15, 15, 10, 16 }, }, { { 28, 4, 116, 4, 117 }, { 26, 17, 42, 0, 0 }, { 28, 17, 22, 6, 23 }, { 30, 19, 16, 6, 17 }, }, { { 28, 2, 111, 7, 112 }, { 28, 17, 46, 0, 0 }, { 30, 7, 24, 16, 25 }, { 24, 34, 13, 0, 0 }, }, { { 30, 4, 121, 5, 122 }, { 28, 4, 47, 14, 48 }, { 30, 11, 24, 14, 25 }, { 30, 16, 15, 14, 16 }, }, { { 30, 6, 117, 4, 118 }, { 28, 6, 45, 14, 46 }, { 30, 11, 24, 16, 25 }, { 30, 30, 16, 2, 17 }, }, { { 26, 8, 106, 4, 107 }, { 28, 8, 47, 13, 48 }, { 30, 7, 24, 22, 25 }, { 30, 22, 15, 13, 16 }, }, { { 28, 10, 114, 2, 115 }, { 28, 19, 46, 4, 47 }, { 28, 28, 22, 6, 23 }, { 30, 33, 16, 4, 17 }, }, { { 30, 8, 122, 4, 123 }, { 28, 22, 45, 3, 46 }, { 30, 8, 23, 26, 24 }, { 30, 12, 15, 28, 16 }, }, { { 30, 3, 117, 10, 118 }, { 28, 3, 45, 23, 46 }, { 30, 4, 24, 31, 25 }, { 30, 11, 15, 31, 16 }, }, { { 30, 7, 116, 7, 117 }, { 28, 21, 45, 7, 46 }, { 30, 1, 23, 37, 24 }, { 30, 19, 15, 26, 16 }, }, { { 30, 5, 115, 10, 116 }, { 28, 19, 47, 10, 48 }, { 30, 15, 24, 25, 25 }, { 30, 23, 15, 25, 16 }, }, { { 30, 13, 115, 3, 116 }, { 28, 2, 46, 29, 47 }, { 30, 42, 24, 1, 25 }, { 30, 23, 15, 28, 16 }, }, { { 30, 17, 115, 0, 0 }, { 28, 10, 46, 23, 47 }, { 30, 10, 24, 35, 25 }, { 30, 19, 15, 35, 16 }, }, { { 30, 17, 115, 1, 116 }, { 28, 14, 46, 21, 47 }, { 30, 29, 24, 19, 25 }, { 30, 11, 15, 46, 16 }, }, { { 30, 13, 115, 6, 116 }, { 28, 14, 46, 23, 47 }, { 30, 44, 24, 7, 25 }, { 30, 59, 16, 1, 17 }, }, { { 30, 12, 121, 7, 122 }, { 28, 12, 47, 26, 48 }, { 30, 39, 24, 14, 25 }, { 30, 22, 15, 41, 16 }, }, { { 30, 6, 121, 14, 122 }, { 28, 6, 47, 34, 48 }, { 30, 46, 24, 10, 25 }, { 30, 2, 15, 64, 16 }, }, { { 30, 17, 122, 4, 123 }, { 28, 29, 46, 14, 47 }, { 30, 49, 24, 10, 25 }, { 30, 24, 15, 46, 16 }, }, { { 30, 4, 122, 18, 123 }, { 28, 13, 46, 32, 47 }, { 30, 48, 24, 14, 25 }, { 30, 42, 15, 32, 16 }, }, { { 30, 20, 117, 4, 118 }, { 28, 40, 47, 7, 48 }, { 30, 43, 24, 22, 25 }, { 30, 10, 15, 67, 16 }, }, { { 30, 19, 118, 6, 119 }, { 28, 18, 47, 31, 48 }, { 30, 34, 24, 34, 25 }, { 30, 20, 15, 61, 16 }, }, }; // s_remainer_bits[x - 1] tells the number of required remainer bits for qr code version x static constexpr uint8_t s_remainer_bits[] { 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, }; // s_alignment_coords[x - 1] tells the coordinates of alignment patterns in version x qr code static constexpr size_t s_alignment_coords[][8] { { 0 }, { 6, 18, 0 }, { 6, 22, 0 }, { 6, 26, 0 }, { 6, 30, 0 }, { 6, 34, 0 }, { 6, 22, 38, 0 }, { 6, 24, 42, 0 }, { 6, 26, 46, 0 }, { 6, 28, 50, 0 }, { 6, 30, 54, 0 }, { 6, 32, 58, 0 }, { 6, 34, 62, 0 }, { 6, 26, 46, 66, 0 }, { 6, 26, 48, 70, 0 }, { 6, 26, 50, 74, 0 }, { 6, 30, 54, 78, 0 }, { 6, 30, 56, 82, 0 }, { 6, 30, 58, 86, 0 }, { 6, 34, 62, 90, 0 }, { 6, 28, 50, 72, 94, 0 }, { 6, 26, 50, 74, 98, 0 }, { 6, 30, 54, 78, 102, 0 }, { 6, 28, 54, 80, 106, 0 }, { 6, 32, 58, 84, 110, 0 }, { 6, 30, 58, 86, 114, 0 }, { 6, 34, 62, 90, 118, 0 }, { 6, 26, 50, 74, 98, 122, 0 }, { 6, 30, 54, 78, 102, 126, 0 }, { 6, 26, 52, 78, 104, 130, 0 }, { 6, 30, 56, 82, 108, 134, 0 }, { 6, 34, 60, 86, 112, 138, 0 }, { 6, 30, 58, 86, 114, 142, 0 }, { 6, 34, 62, 90, 118, 146, 0 }, { 6, 30, 54, 78, 102, 126, 150, 0 }, { 6, 24, 50, 76, 102, 128, 154, 0 }, { 6, 28, 54, 80, 106, 132, 158, 0 }, { 6, 32, 58, 84, 110, 136, 162, 0 }, { 6, 26, 54, 82, 110, 138, 166, 0 }, { 6, 30, 58, 86, 114, 142, 170, 0 }, }; static constexpr std::vector get_generator(size_t ec_codewords) { constexpr auto poly_mul = [](std::span p, std::span q) -> std::vector { std::vector result(p.size() + q.size() - 1, 0); for (size_t i = 0; i < p.size(); i++) { if (p[i] == 0) continue; for (size_t j = 0; j < q.size(); j++) result[i + j] ^= s_gf256.mult(p[i], q[j]); } return result; }; std::vector generator { 1 }; for (size_t i = 0; i < ec_codewords; i++) { const uint8_t term[] { s_gf256.exp[i], 1 }; generator = poly_mul(generator, term); } std::reverse(generator.begin(), generator.end()); return generator; } static constexpr std::vector get_remainder(std::span message, std::span generator) { std::vector dividend(message.begin(), message.end()); dividend.resize(dividend.size() + generator.size() - 1, 0); while (dividend.size() >= generator.size()) { if (const uint8_t scale = dividend[0]) for (size_t i = 0; i < generator.size(); i++) dividend[i] ^= s_gf256.mult(generator[i], scale); dividend.erase(dividend.begin()); } return dividend; } enum class ErrorCorrection { L, M, Q, H }; struct QRInfo { uint8_t version; ErrorCorrection error_correction; BitStream bits; }; static QRInfo generate_data(std::span data, ErrorCorrection error_correction) { QRInfo qr_info; qr_info.error_correction = error_correction; qr_info.version = 0xFF; for (size_t i = 0; i < sizeof(s_qr_capacities) / sizeof(s_qr_capacities[0]); i++) { if (data.size() > s_qr_capacities[i][static_cast(error_correction)]) continue; qr_info.version = i + 1; break; } assert(qr_info.version != 0xFF); // byte mode qr_info.bits.append(0b0100, 4); // data length qr_info.bits.append(data.size(), (qr_info.version <= 9) ? 8 : 16); // data for (size_t i = 0; i < data.size(); i++) qr_info.bits.append(data[i], 8); auto ec_info = s_ec_block_info[qr_info.version - 1][static_cast(qr_info.error_correction)]; const size_t max_bits = (ec_info[1] * ec_info[2] + ec_info[3] * ec_info[4]) * 8; assert(qr_info.bits.length <= max_bits); // terminator if (const size_t missing = max_bits - qr_info.bits.length; missing < 4) qr_info.bits.append(0, missing); else qr_info.bits.append(0, 4); // byte align if (const size_t rem = qr_info.bits.length % 8) qr_info.bits.append(0, 8 - rem); // add pad bytes for (bool toggle = true; qr_info.bits.length < max_bits; toggle = !toggle) qr_info.bits.append(toggle ? 0b11101100 : 0b00010001, 8); std::span data_words = qr_info.bits.data; // break into data blocks for error correction std::vector> data_blocks; for (size_t group = 0; group < 2; group++) { const size_t nblock = ec_info[group * 2 + 1]; const size_t nwords = ec_info[group * 2 + 2]; for (size_t i = 0; i < nblock; i++) { data_blocks.push_back(data_words.subspan(0, nwords)); data_words = data_words.subspan(nwords); } } assert(data_words.empty()); // calculate error blocks const auto generator = get_generator(ec_info[0]); std::vector> ec_blocks; for (const auto& data_block : data_blocks) ec_blocks.emplace_back(get_remainder(data_block, generator)); // interleave data and error blocks std::vector interleaved; interleaved.reserve( ec_info[1] * (ec_info[2] + ec_info[0]) + ec_info[3] * (ec_info[4] + ec_info[0]) ); for (size_t i = 0; i < ec_info[2]; i++) for (size_t j = 0; j < ec_info[1] + ec_info[3]; j++) interleaved.push_back(data_blocks[j][i]); for (size_t j = 0; j < ec_info[3]; j++) interleaved.push_back(data_blocks[ec_info[1] + j][ec_info[2]]); for (size_t i = 0; i < ec_info[0]; i++) for (size_t j = 0; j < ec_blocks.size(); j++) interleaved.push_back(ec_blocks[j][i]); // update returned info and append required remainder bits qr_info.bits.data = std::move(interleaved); qr_info.bits.length = qr_info.bits.data.size() * 8; qr_info.bits.append(0, s_remainer_bits[qr_info.version - 1]); return qr_info; } static std::pair>, std::vector>> prepare_matrix(uint8_t version) { const size_t size = (version - 1) * 4 + 21; const auto resize_matrix = [size](auto& matrix) -> void { matrix.resize(size); for (auto& row : matrix) row.resize(size, 0); }; std::vector> matrix, reserved; resize_matrix(matrix); resize_matrix(reserved); // finder patterns { const auto place_finder = [&matrix, &reserved](size_t x, size_t y) { for (size_t i = 0; i < 7; i++) { matrix[y + i][x ] = true; matrix[y ][x + i] = true; matrix[y + i][x + 6] = true; matrix[y + 6][x + i] = true; } for (size_t i = 0; i < 3; i++) for (size_t j = 0; j < 3; j++) matrix[y + i + 2][x + j + 2] = true; if (x) x--; if (y) y--; for (size_t i = 0; i < 8; i++) for (size_t j = 0; j < 8; j++) reserved[y + i][x + j] = true; }; place_finder(0, 0); place_finder(0, size - 7); place_finder(size - 7, 0); } // alignment patterns { const auto place_alignment = [&matrix, &reserved](size_t x, size_t y) { for (ssize_t i = -2; i <= 2; i++) for (ssize_t j = -2; j <= 2; j++) if (reserved[y + i][x + j]) return; matrix[y][x] = true; for (ssize_t i = -2; i <= 2; i++) { matrix[y - 2][x + i] = true; matrix[y + 2][x + i] = true; matrix[y + i][x - 2] = true; matrix[y + i][x + 2] = true; } for (ssize_t i = -2; i <= 2; i++) for (ssize_t j = -2; j <= 2; j++) reserved[y + i][x + j] = true; }; const auto& coords = s_alignment_coords[version - 1]; for (size_t i = 0; coords[i]; i++) for (size_t j = 0; coords[j]; j++) place_alignment(coords[i], coords[j]); } // timing patterns { bool toggle = true; for (size_t i = 8; i < size - 8; i++) { matrix[6][i] = matrix[i][6] = toggle; toggle = !toggle; reserved[6][i] = reserved[i][6] = true; } } // dark module and format information area { matrix[size - 8][8] = true; reserved[8][8] = true; for (size_t i = 0; i < 8; i++) { reserved[8][i] = true; reserved[i][8] = true; reserved[size - 8 + i][8] = true; reserved[8][size - 8 + i] = true; } } // version information area if (version >= 7) { for (size_t i = 0; i < 6; i++) { for (size_t j = 0; j < 3; j++) { reserved[size - 11 + j][i] = true; reserved[i][size - 11 + j] = true; } } } return std::make_pair(std::move(matrix), std::move(reserved)); } static size_t evaluate_qr_code(const std::vector>& qr_code) { const size_t size = qr_code.size(); size_t score = 0; // condition 1 { for (size_t y = 0; y < size; y++) { for (size_t x = 0; x < size;) { size_t consecutive = 1; while (x + consecutive + 1 < size && qr_code[y][x] == qr_code[y][x + consecutive + 1]) consecutive++; if (consecutive >= 5) score += consecutive - 2; x += consecutive; } } for (size_t x = 0; x < size; x++) { for (size_t y = 0; y < size;) { size_t consecutive = 1; while (y + consecutive + 1 < size && qr_code[y][x] == qr_code[y + consecutive + 1][x]) consecutive++; if (consecutive >= 5) score += consecutive - 2; y += consecutive; } } } // condition 2 { for (size_t y = 0; y < size - 1; y++) { for (size_t x = 0; x < size - 1; x++) { if (qr_code[y][x] != qr_code[y][x + 1]) continue; if (qr_code[y][x] != qr_code[y + 1][x]) continue; if (qr_code[y][x] != qr_code[y + 1][x + 1]) continue; score += 3; } } } // condition 3 { const bool targets[][11] { { 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0 }, { 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1 }, }; for (size_t y = 0; y < size; y++) { for (size_t x = 0; x < size - 11; x++) { for (auto& target : targets) { bool match = true; for (size_t i = 0; i < 11 && match; i++) if (qr_code[y][x + i] != target[i]) match = false; if (match) score += 40; } } } for (size_t x = 0; x < size; x++) { for (size_t y = 0; y < size - 11; y++) { for (auto& target : targets) { bool match = true; for (size_t i = 0; i < 11 && match; i++) if (qr_code[y + i][x] != target[i]) match = false; if (match) score += 40; } } } } // condition 4 { size_t dark_modules = 0; for (const auto& row : qr_code) for (bool module : row) dark_modules += module; const size_t ratio = 100 * dark_modules / (size * size * 5); const size_t temp1 = std::max(ratio, 10) - std::min(ratio, 10); const size_t temp2 = std::max(ratio + 1, 10) - std::min(ratio + 1, 10); score += std::min(temp1, temp2) * 10; } return score; } static uint8_t apply_mask_pattern(std::vector>& matrix, const std::vector>& reserved) { const size_t size = matrix.size(); bool (*mask_pattern_funcs[])(size_t, size_t) { [](size_t r, size_t c) { return (r + c) % 2 == 0; }, [](size_t r, size_t ) { return r % 2 == 0; }, [](size_t , size_t c) { return c % 3 == 0; }, [](size_t r, size_t c) { return (r + c) % 3 == 0; }, [](size_t r, size_t c) { return (r / 2 + c / 3) % 2 == 0; }, [](size_t r, size_t c) { return (r * c) % 2 + (r * c) % 3 == 0; }, [](size_t r, size_t c) { return ((r * c) % 3 + r * c) % 2 == 0; }, [](size_t r, size_t c) { return ((r * c) % 3 + r + c) % 2 == 0; }, }; size_t best_pattern = 0; size_t best_score = SIZE_MAX; for (size_t i = 0; i < sizeof(mask_pattern_funcs) / sizeof(*mask_pattern_funcs); i++) { auto temp = matrix; for (size_t y = 0; y < size; y++) for (size_t x = 0; x < size; x++) if (!reserved[y][x] && mask_pattern_funcs[i](y, x)) temp[y][x] = !temp[y][x]; if (const size_t score = evaluate_qr_code(temp); score < best_score) { best_pattern = i; best_score = score; } } for (size_t y = 0; y < size; y++) for (size_t x = 0; x < size; x++) if (!reserved[y][x] && mask_pattern_funcs[best_pattern](y, x)) matrix[y][x] = !matrix[y][x]; return best_pattern; } std::vector> generate_qr_code(std::string_view data, ErrorCorrection ec) { const auto qr_code = generate_data({ reinterpret_cast(data.data()), data.size() }, ec); auto [matrix, reserved] = prepare_matrix(qr_code.version); const size_t size = matrix.size(); { size_t index = 0; bool toggle = true; size_t x = size; while (x > 0) { x -= 2; if (x == 5) x--; const ssize_t y_s = toggle ? size - 1 : 0; const ssize_t y_e = toggle ? -1 : size; const ssize_t dir = toggle ? -1 : 1; toggle = !toggle; for (ssize_t y = y_s; y != y_e; y += dir) { if (!reserved[y][x + 1]) matrix[y][x + 1] = qr_code.bits[index++]; if (!reserved[y][x + 0]) matrix[y][x + 0] = qr_code.bits[index++]; } } assert(index == qr_code.bits.length); } const auto mod2_remainder = [](uint32_t data, uint32_t generator, uint32_t degree) { constexpr auto bits = [](uint32_t val) -> uint32_t { return 31 - __builtin_clz(val | 1); }; while (bits(data) >= degree) data ^= generator << (bits(data) - degree); return data; }; // format string { const uint8_t pattern = apply_mask_pattern(matrix, reserved); const uint8_t ec_to_val[] { 1, 0, 3, 2 }; const uint16_t format_data = (ec_to_val[static_cast(qr_code.error_correction)] << 13) | (pattern << 10); const uint16_t format_string = (format_data | mod2_remainder(format_data, 0b10100110111, 10)) ^ 0b101010000010010; matrix[8][0] = (format_string >> 14) & 1; matrix[8][1] = (format_string >> 13) & 1; matrix[8][2] = (format_string >> 12) & 1; matrix[8][3] = (format_string >> 11) & 1; matrix[8][4] = (format_string >> 10) & 1; matrix[8][5] = (format_string >> 9) & 1; matrix[8][7] = (format_string >> 8) & 1; matrix[8][8] = (format_string >> 7) & 1; matrix[7][8] = (format_string >> 6) & 1; matrix[5][8] = (format_string >> 5) & 1; matrix[4][8] = (format_string >> 4) & 1; matrix[3][8] = (format_string >> 3) & 1; matrix[2][8] = (format_string >> 2) & 1; matrix[1][8] = (format_string >> 1) & 1; matrix[0][8] = (format_string >> 0) & 1; matrix[size - 1][8] = (format_string >> 14) & 1; matrix[size - 2][8] = (format_string >> 13) & 1; matrix[size - 3][8] = (format_string >> 12) & 1; matrix[size - 4][8] = (format_string >> 11) & 1; matrix[size - 5][8] = (format_string >> 10) & 1; matrix[size - 6][8] = (format_string >> 9) & 1; matrix[size - 7][8] = (format_string >> 8) & 1; matrix[8][size - 8] = (format_string >> 7) & 1; matrix[8][size - 7] = (format_string >> 6) & 1; matrix[8][size - 6] = (format_string >> 5) & 1; matrix[8][size - 5] = (format_string >> 4) & 1; matrix[8][size - 4] = (format_string >> 3) & 1; matrix[8][size - 3] = (format_string >> 2) & 1; matrix[8][size - 2] = (format_string >> 1) & 1; matrix[8][size - 1] = (format_string >> 0) & 1; } // version string if (qr_code.version >= 7) { const uint32_t version_data = qr_code.version << 12; const uint32_t version_string = (version_data | mod2_remainder(version_data, 0b1111100100101, 12)); for (size_t i = 0; i < 6; i++) { for (size_t j = 0; j < 3; j++) { matrix[size - 11 + j][i] = (version_string >> (i * 3 + j)) & 1; matrix[i][size - 11 + j] = (version_string >> (i * 3 + j)) & 1; } } } return matrix; } int main() { auto qr_code = generate_qr_code("https://git.bananymous.com/Bananymous/banan-os", ErrorCorrection::L); for (int i = 0; i < 4; i++) { for (size_t i = 0; i < qr_code.size() + 8; i++) std::cout << "██"; std::cout << '\n'; } for (const auto& row : qr_code) { for (int i = 0; i < 4; i++) std::cout << "██"; for (bool val : row) std::cout << (val ? " " : "██"); for (int i = 0; i < 4; i++) std::cout << "██"; std::cout << '\n'; } for (int i = 0; i < 4; i++) { for (size_t i = 0; i < qr_code.size() + 8; i++) std::cout << "██"; std::cout << '\n'; } }