//! The `ec` module applies the Reed-Solomon error correction codes. use core::ops::Deref; use alloc::vec::Vec; use crate::types::{EcLevel, QrResult, Version}; //------------------------------------------------------------------------------ //{{{ Error correction primitive /// Creates the error correction code in N bytes. /// /// This method only supports computing the error-correction code up to /// 69 bytes. Longer blocks will result in task panic. /// /// This method treats the data as a polynomial of the form /// (a\[0\] xm+n + a\[1\] xm+n-1 + … + a\[m\] xn) /// in GF(28), and then computes the polynomial modulus with a /// generator polynomial of degree N. pub fn create_error_correction_code(data: &[u8], ec_code_size: usize) -> Vec { let data_len = data.len(); let log_den = GENERATOR_POLYNOMIALS[ec_code_size]; let mut res = data.to_vec(); res.resize(ec_code_size + data_len, 0); // rust-lang-nursery/rust-clippy#2213 for i in 0..data_len { let lead_coeff = res[i] as usize; if lead_coeff == 0 { continue; } let log_lead_coeff = usize::from(LOG_TABLE[lead_coeff]); for (u, v) in res[i + 1..].iter_mut().zip(log_den.iter()) { *u ^= EXP_TABLE[(usize::from(*v) + log_lead_coeff) % 255]; } } res.split_off(data_len) } #[cfg(test)] mod ec_tests { use crate::ec::create_error_correction_code; #[test] fn test_poly_mod_1() { let res = create_error_correction_code(b" [\x0bx\xd1r\xdcMC@\xec\x11\xec\x11\xec\x11", 10); assert_eq!(&*res, b"\xc4#'w\xeb\xd7\xe7\xe2]\x17"); } #[test] fn test_poly_mod_2() { let res = create_error_correction_code(b" [\x0bx\xd1r\xdcMC@\xec\x11\xec", 13); assert_eq!(&*res, b"\xa8H\x16R\xd96\x9c\x00.\x0f\xb4z\x10"); } #[test] fn test_poly_mod_3() { let res = create_error_correction_code(b"CUF\x86W&U\xc2w2\x06\x12\x06g&", 18); assert_eq!(&*res, b"\xd5\xc7\x0b-s\xf7\xf1\xdf\xe5\xf8\x9au\x9aoV\xa1o'"); } } //}}} //------------------------------------------------------------------------------ //{{{ Interleave support /// This method interleaves a vector of slices into a single vector. /// /// It will first insert all the first elements of the slices in `blocks`, then /// all the second elements, then all the third elements, and so on. /// /// The longest slice must be at the last of `blocks`, and `blocks` must not be /// empty. fn interleave>(blocks: &[V]) -> Vec { let last_block_len = blocks.last().expect("non-empty blocks").len(); let mut res = Vec::with_capacity(last_block_len * blocks.len()); for i in 0..last_block_len { for t in blocks { if i < t.len() { res.push(t[i]); } } } res } #[test] fn test_interleave() { let res = interleave(&[&b"1234"[..], b"5678", b"abcdef", b"ghijkl"]); assert_eq!(&*res, b"15ag26bh37ci48djekfl"); } //}}} //------------------------------------------------------------------------------ //{{{ QR code error correction /// Constructs data and error correction codewords ready to be put in the QR /// code matrix. /// /// # Errors /// /// Returns `Err(QrError::InvalidVersion)` if it is not valid to use the /// `ec_level` for the given version (e.g. `Version::Micro(1)` with /// `EcLevel::H`). pub fn construct_codewords(rawbits: &[u8], version: Version, ec_level: EcLevel) -> QrResult<(Vec, Vec)> { let (block_1_size, block_1_count, block_2_size, block_2_count) = version.fetch(ec_level, &DATA_BYTES_PER_BLOCK)?; let blocks_count = block_1_count + block_2_count; let block_1_end = block_1_size * block_1_count; let total_size = block_1_end + block_2_size * block_2_count; debug_assert_eq!(rawbits.len(), total_size); // Divide the data into blocks. let mut blocks = Vec::with_capacity(blocks_count); blocks.extend(rawbits[..block_1_end].chunks(block_1_size)); if block_2_size > 0 { blocks.extend(rawbits[block_1_end..].chunks(block_2_size)); } // Generate EC codes. let ec_bytes = version.fetch(ec_level, &EC_BYTES_PER_BLOCK)?; let ec_codes = blocks.iter().map(|block| create_error_correction_code(block, ec_bytes)).collect::>>(); let blocks_vec = interleave(&blocks); let ec_vec = interleave(&ec_codes); Ok((blocks_vec, ec_vec)) } #[cfg(test)] mod construct_codewords_test { use crate::ec::construct_codewords; use crate::types::{EcLevel, Version}; #[test] fn test_add_ec_simple() { let msg = b" [\x0bx\xd1r\xdcMC@\xec\x11\xec\x11\xec\x11"; let (blocks_vec, ec_vec) = construct_codewords(msg, Version::Normal(1), EcLevel::M).unwrap(); assert_eq!(&*blocks_vec, msg); assert_eq!(&*ec_vec, b"\xc4#'w\xeb\xd7\xe7\xe2]\x17"); } #[test] fn test_add_ec_complex() { let msg = b"CUF\x86W&U\xc2w2\x06\x12\x06g&\xf6\xf6B\x07v\x86\xf2\x07&V\x16\xc6\xc7\x92\x06\ \xb6\xe6\xf7w2\x07v\x86W&R\x06\x86\x972\x07F\xf7vV\xc2\x06\x972\x10\xec\x11\xec\ \x11\xec\x11\xec"; let expected_blocks = b"C\xf6\xb6FU\xf6\xe6\xf7FB\xf7v\x86\x07wVWv2\xc2&\x86\x07\x06U\xf2v\ \x97\xc2\x07\x862w&W\x102V&\xec\x06\x16R\x11\x12\xc6\x06\xec\x06\ \xc7\x86\x11g\x92\x97\xec&\x062\x11\x07\xec"; let expected_ec = b"\xd5W\x94\xeb\xc7\xcct\x9f\x0b`\xb1\x05-<\xd4\xads\xcaL\x18\xf7\xb6\x85\ \x93\xf1|K;\xdf\x9d\xf2!\xe5\xc8\xeej\xf8\x86L(\x9a\x1b\xc3\xffu\x81\ \xe6\xac\x9a\xd1\xbdRo\x11\n\x02V\xa3l\x83\xa1\xa3\xf0 ox\xc0\xb2'\x85\ \x8d\xec"; let (blocks_vec, ec_vec) = construct_codewords(msg, Version::Normal(5), EcLevel::Q).unwrap(); assert_eq!(&*blocks_vec, &expected_blocks[..]); assert_eq!(&*ec_vec, &expected_ec[..]); } } //}}} //------------------------------------------------------------------------------ //{{{ Number of allowed errors /// Computes the maximum allowed number of erratic modules can be introduced to /// the QR code, before the data becomes truly corrupted. /// /// # Errors /// /// Returns `Err(QrError::InvalidVersion)` if it is not valid to use the /// `ec_level` for the given version (e.g. `Version::Micro(1)` with /// `EcLevel::H`). pub fn max_allowed_errors(version: Version, ec_level: EcLevel) -> QrResult { use crate::EcLevel::{L, M}; use crate::Version::{Micro, Normal}; let p = match (version, ec_level) { (Micro(2), L) | (Normal(1), L) => 3, (Micro(_), L) | (Normal(2), L) | (Micro(2), M) | (Normal(1), M) => 2, (Normal(1), _) | (Normal(3), L) => 1, _ => 0, }; let ec_bytes_per_block = version.fetch(ec_level, &EC_BYTES_PER_BLOCK)?; let (_, count1, _, count2) = version.fetch(ec_level, &DATA_BYTES_PER_BLOCK)?; let ec_bytes = (count1 + count2) * ec_bytes_per_block; Ok((ec_bytes - p) / 2) } #[cfg(test)] mod max_allowed_errors_test { use crate::ec::max_allowed_errors; use crate::types::{EcLevel, Version}; #[test] fn test_low_versions() { assert_eq!(Ok(0), max_allowed_errors(Version::Micro(1), EcLevel::L)); assert_eq!(Ok(1), max_allowed_errors(Version::Micro(2), EcLevel::L)); assert_eq!(Ok(2), max_allowed_errors(Version::Micro(2), EcLevel::M)); assert_eq!(Ok(2), max_allowed_errors(Version::Micro(3), EcLevel::L)); assert_eq!(Ok(4), max_allowed_errors(Version::Micro(3), EcLevel::M)); assert_eq!(Ok(3), max_allowed_errors(Version::Micro(4), EcLevel::L)); assert_eq!(Ok(5), max_allowed_errors(Version::Micro(4), EcLevel::M)); assert_eq!(Ok(7), max_allowed_errors(Version::Micro(4), EcLevel::Q)); assert_eq!(Ok(2), max_allowed_errors(Version::Normal(1), EcLevel::L)); assert_eq!(Ok(4), max_allowed_errors(Version::Normal(1), EcLevel::M)); assert_eq!(Ok(6), max_allowed_errors(Version::Normal(1), EcLevel::Q)); assert_eq!(Ok(8), max_allowed_errors(Version::Normal(1), EcLevel::H)); assert_eq!(Ok(4), max_allowed_errors(Version::Normal(2), EcLevel::L)); assert_eq!(Ok(8), max_allowed_errors(Version::Normal(2), EcLevel::M)); assert_eq!(Ok(11), max_allowed_errors(Version::Normal(2), EcLevel::Q)); assert_eq!(Ok(14), max_allowed_errors(Version::Normal(2), EcLevel::H)); assert_eq!(Ok(7), max_allowed_errors(Version::Normal(3), EcLevel::L)); assert_eq!(Ok(13), max_allowed_errors(Version::Normal(3), EcLevel::M)); assert_eq!(Ok(18), max_allowed_errors(Version::Normal(3), EcLevel::Q)); assert_eq!(Ok(22), max_allowed_errors(Version::Normal(3), EcLevel::H)); assert_eq!(Ok(10), max_allowed_errors(Version::Normal(4), EcLevel::L)); assert_eq!(Ok(18), max_allowed_errors(Version::Normal(4), EcLevel::M)); assert_eq!(Ok(26), max_allowed_errors(Version::Normal(4), EcLevel::Q)); assert_eq!(Ok(32), max_allowed_errors(Version::Normal(4), EcLevel::H)); } #[test] fn test_high_versions() { assert_eq!(Ok(375), max_allowed_errors(Version::Normal(40), EcLevel::L)); assert_eq!(Ok(686), max_allowed_errors(Version::Normal(40), EcLevel::M)); assert_eq!(Ok(1020), max_allowed_errors(Version::Normal(40), EcLevel::Q)); assert_eq!(Ok(1215), max_allowed_errors(Version::Normal(40), EcLevel::H)); } } //}}} //------------------------------------------------------------------------------ //{{{ Precomputed tables for GF(256). /// `EXP_TABLE` encodes the value of 2n in the Galois Field GF(256). static EXP_TABLE: &[u8] = b"\ \x01\x02\x04\x08\x10\x20\x40\x80\x1d\x3a\x74\xe8\xcd\x87\x13\x26\ \x4c\x98\x2d\x5a\xb4\x75\xea\xc9\x8f\x03\x06\x0c\x18\x30\x60\xc0\ \x9d\x27\x4e\x9c\x25\x4a\x94\x35\x6a\xd4\xb5\x77\xee\xc1\x9f\x23\ \x46\x8c\x05\x0a\x14\x28\x50\xa0\x5d\xba\x69\xd2\xb9\x6f\xde\xa1\ \x5f\xbe\x61\xc2\x99\x2f\x5e\xbc\x65\xca\x89\x0f\x1e\x3c\x78\xf0\ \xfd\xe7\xd3\xbb\x6b\xd6\xb1\x7f\xfe\xe1\xdf\xa3\x5b\xb6\x71\xe2\ \xd9\xaf\x43\x86\x11\x22\x44\x88\x0d\x1a\x34\x68\xd0\xbd\x67\xce\ \x81\x1f\x3e\x7c\xf8\xed\xc7\x93\x3b\x76\xec\xc5\x97\x33\x66\xcc\ \x85\x17\x2e\x5c\xb8\x6d\xda\xa9\x4f\x9e\x21\x42\x84\x15\x2a\x54\ \xa8\x4d\x9a\x29\x52\xa4\x55\xaa\x49\x92\x39\x72\xe4\xd5\xb7\x73\ \xe6\xd1\xbf\x63\xc6\x91\x3f\x7e\xfc\xe5\xd7\xb3\x7b\xf6\xf1\xff\ \xe3\xdb\xab\x4b\x96\x31\x62\xc4\x95\x37\x6e\xdc\xa5\x57\xae\x41\ \x82\x19\x32\x64\xc8\x8d\x07\x0e\x1c\x38\x70\xe0\xdd\xa7\x53\xa6\ \x51\xa2\x59\xb2\x79\xf2\xf9\xef\xc3\x9b\x2b\x56\xac\x45\x8a\x09\ \x12\x24\x48\x90\x3d\x7a\xf4\xf5\xf7\xf3\xfb\xeb\xcb\x8b\x0b\x16\ \x2c\x58\xb0\x7d\xfa\xe9\xcf\x83\x1b\x36\x6c\xd8\xad\x47\x8e\x01"; /// `LOG_TABLE` is the inverse function of `EXP_TABLE`. static LOG_TABLE: &[u8] = b"\ \xff\x00\x01\x19\x02\x32\x1a\xc6\x03\xdf\x33\xee\x1b\x68\xc7\x4b\ \x04\x64\xe0\x0e\x34\x8d\xef\x81\x1c\xc1\x69\xf8\xc8\x08\x4c\x71\ \x05\x8a\x65\x2f\xe1\x24\x0f\x21\x35\x93\x8e\xda\xf0\x12\x82\x45\ \x1d\xb5\xc2\x7d\x6a\x27\xf9\xb9\xc9\x9a\x09\x78\x4d\xe4\x72\xa6\ \x06\xbf\x8b\x62\x66\xdd\x30\xfd\xe2\x98\x25\xb3\x10\x91\x22\x88\ \x36\xd0\x94\xce\x8f\x96\xdb\xbd\xf1\xd2\x13\x5c\x83\x38\x46\x40\ \x1e\x42\xb6\xa3\xc3\x48\x7e\x6e\x6b\x3a\x28\x54\xfa\x85\xba\x3d\ \xca\x5e\x9b\x9f\x0a\x15\x79\x2b\x4e\xd4\xe5\xac\x73\xf3\xa7\x57\ \x07\x70\xc0\xf7\x8c\x80\x63\x0d\x67\x4a\xde\xed\x31\xc5\xfe\x18\ \xe3\xa5\x99\x77\x26\xb8\xb4\x7c\x11\x44\x92\xd9\x23\x20\x89\x2e\ \x37\x3f\xd1\x5b\x95\xbc\xcf\xcd\x90\x87\x97\xb2\xdc\xfc\xbe\x61\ \xf2\x56\xd3\xab\x14\x2a\x5d\x9e\x84\x3c\x39\x53\x47\x6d\x41\xa2\ \x1f\x2d\x43\xd8\xb7\x7b\xa4\x76\xc4\x17\x49\xec\x7f\x0c\x6f\xf6\ \x6c\xa1\x3b\x52\x29\x9d\x55\xaa\xfb\x60\x86\xb1\xbb\xcc\x3e\x5a\ \xcb\x59\x5f\xb0\x9c\xa9\xa0\x51\x0b\xf5\x16\xeb\x7a\x75\x2c\xd7\ \x4f\xae\xd5\xe9\xe6\xe7\xad\xe8\x74\xd6\xf4\xea\xa8\x50\x58\xaf"; /// The generator polynomial list. /// /// `GENERATOR_POLYNOMIALS[i]` is the polynomial for `i` error correction code /// words. Each entry encodes the log coefficients of the expanded polynomial /// (x − 20)(x − 21)…(x − 2i-1). Each entry is /// used as the denominator for polynomial division to obtain the modulus which /// is the Reed-Solomon error correction code. /// /// A partial list can be found from ISO/IEC 18004:2006 Annex A. #[rustfmt::skip] // ^ this attribute is currently useless, see rust-lang-nursery/rustfmt#1080 and 1298 static GENERATOR_POLYNOMIALS: [&[u8]; 70] = [ b"", b"\x00", b"\x19\x01", b"\xc6\xc7\x03", b"\x4b\xf9\x4e\x06", b"\x71\xa4\xa6\x77\x0a", b"\xa6\x00\x86\x05\xb0\x0f", b"\x57\xe5\x92\x95\xee\x66\x15", b"\xaf\xee\xd0\xf9\xd7\xfc\xc4\x1c", b"\x5f\xf6\x89\xe7\xeb\x95\x0b\x7b\x24", b"\xfb\x43\x2e\x3d\x76\x46\x40\x5e\x20\x2d", b"\xdc\xc0\x5b\xc2\xac\xb1\xd1\x74\xe3\x0a\x37", b"\x66\x2b\x62\x79\xbb\x71\xc6\x8f\x83\x57\x9d\x42", b"\x4a\x98\xb0\x64\x56\x64\x6a\x68\x82\xda\xce\x8c\x4e", b"\xc7\xf9\x9b\x30\xbe\x7c\xda\x89\xd8\x57\xcf\x3b\x16\x5b", b"\x08\xb7\x3d\x5b\xca\x25\x33\x3a\x3a\xed\x8c\x7c\x05\x63\x69", b"\x78\x68\x6b\x6d\x66\xa1\x4c\x03\x5b\xbf\x93\xa9\xb6\xc2\xe1\x78", b"\x2b\x8b\xce\x4e\x2b\xef\x7b\xce\xd6\x93\x18\x63\x96\x27\xf3\xa3\x88", b"\xd7\xea\x9e\x5e\xb8\x61\x76\xaa\x4f\xbb\x98\x94\xfc\xb3\x05\x62\x60\x99", b"\x43\x03\x69\x99\x34\x5a\x53\x11\x96\x9f\x2c\x80\x99\x85\xfc\xde\x8a\xdc\xab", b"\x11\x3c\x4f\x32\x3d\xa3\x1a\xbb\xca\xb4\xdd\xe1\x53\xef\x9c\xa4\xd4\xd4\xbc\xbe", b"\xf0\xe9\x68\xf7\xb5\x8c\x43\x62\x55\xc8\xd2\x73\x94\x89\xe6\x24\x7a\xfe\x94\xaf\xd2", b"\xd2\xab\xf7\xf2\x5d\xe6\x0e\x6d\xdd\x35\xc8\x4a\x08\xac\x62\x50\xdb\x86\xa0\x69\xa5\xe7", b"\xab\x66\x92\x5b\x31\x67\x41\x11\xc1\x96\x0e\x19\xb7\xf8\x5e\xa4\xe0\xc0\x01\x4e\x38\x93\xfd", b"\xe5\x79\x87\x30\xd3\x75\xfb\x7e\x9f\xb4\xa9\x98\xc0\xe2\xe4\xda\x6f\x00\x75\xe8\x57\x60\xe3\x15", b"\xe7\xb5\x9c\x27\xaa\x1a\x0c\x3b\x0f\x94\xc9\x36\x42\xed\xd0\x63\xa7\x90\xb6\x5f\xf3\x81\xb2\xfc\x2d", b"\xad\x7d\x9e\x02\x67\xb6\x76\x11\x91\xc9\x6f\x1c\xa5\x35\xa1\x15\xf5\x8e\x0d\x66\x30\xe3\x99\x91\xda\x46", b"\x4f\xe4\x08\xa5\xe3\x15\xb4\x1d\x09\xed\x46\x63\x2d\x3a\x8a\x87\x49\x7e\xac\x5e\xd8\xc1\x9d\x1a\x11\x95\x60", b"\xa8\xdf\xc8\x68\xe0\xea\x6c\xb4\x6e\xbe\xc3\x93\xcd\x1b\xe8\xc9\x15\x2b\xf5\x57\x2a\xc3\xd4\x77\xf2\x25\x09\x7b", b"\x9c\x2d\xb7\x1d\x97\xdb\x36\x60\xf9\x18\x88\x05\xf1\xaf\xbd\x1c\x4b\xea\x96\x94\x17\x09\xca\xa2\x44\xfa\x8c\x18\x97", b"\x29\xad\x91\x98\xd8\x1f\xb3\xb6\x32\x30\x6e\x56\xef\x60\xde\x7d\x2a\xad\xe2\xc1\xe0\x82\x9c\x25\xfb\xd8\xee\x28\xc0\xb4", b"\x14\x25\xfc\x5d\x3f\x4b\xe1\x1f\x73\x53\x71\x27\x2c\x49\x7a\x89\x76\x77\x90\xf8\xf8\x37\x01\xe1\x69\x7b\xb7\x75\xbb\xc8\xd2", b"\x0a\x06\x6a\xbe\xf9\xa7\x04\x43\xd1\x8a\x8a\x20\xf2\x7b\x59\x1b\x78\xb9\x50\x9c\x26\x45\xab\x3c\x1c\xde\x50\x34\xfe\xb9\xdc\xf1", b"\xf5\xe7\x37\x18\x47\x4e\x4c\x51\xe1\xd4\xad\x25\xd7\x2e\x77\xe5\xf5\xa7\x7e\x48\xb5\x5e\xa5\xd2\x62\x7d\x9f\xb8\xa9\xe8\xb9\xe7\x12", b"\x6f\x4d\x92\x5e\x1a\x15\x6c\x13\x69\x5e\x71\xc1\x56\x8c\xa3\x7d\x3a\x9e\xe5\xef\xda\x67\x38\x46\x72\x3d\xb7\x81\xa7\x0d\x62\x3e\x81\x33", b"\x07\x5e\x8f\x51\xf7\x7f\xca\xca\xc2\x7d\x92\x1d\x8a\xa2\x99\x41\x69\x7a\x74\xee\x1a\x24\xd8\x70\x7d\xe4\x0f\x31\x08\xa2\x1e\x7e\x6f\x3a\x55", b"\xc8\xb7\x62\x10\xac\x1f\xf6\xea\x3c\x98\x73\x00\xa7\x98\x71\xf8\xee\x6b\x12\x3f\xda\x25\x57\xd2\x69\xb1\x78\x4a\x79\xc4\x75\xfb\x71\xe9\x1e\x78", b"\x9a\x4b\x8d\xb4\x3d\xa5\x68\xe8\x2e\xe3\x60\xb2\x5c\x87\x39\xa2\x78\xc2\xd4\xae\xfc\xb7\x2a\x23\x9d\x6f\x17\x85\x64\x08\x69\x25\xc0\xbd\x9f\x13\x9c", b"\x9f\x22\x26\xe4\xe6\x3b\xf3\x5f\x31\xda\xb0\xa4\x14\x41\x2d\x6f\x27\x51\x31\x76\x71\xde\xc1\xfa\xf2\xa8\xd9\x29\xa4\xf7\xb1\x1e\xee\x12\x78\x99\x3c\xc1", b"\x51\xd8\xae\x2f\xc8\x96\x3b\x9c\x59\x8f\x59\xa6\xb7\xaa\x98\x15\xa5\xb1\x71\x84\xea\x05\x9a\x44\x7c\xaf\xc4\x9d\xf9\xe9\x53\x18\x99\xf1\x7e\x24\x74\x13\xe7", 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b"\xe8\x7d\x9d\xa1\xa4\x09\x76\x2e\xd1\x63\xcb\xc1\x23\x03\xd1\x6f\xc3\xf2\xcb\xe1\x2e\x0d\x20\xa0\x7e\xd1\x82\xa0\xf2\xd7\xf2\x4b\x4d\x2a\xbd\x20\x71\x41\x7c\x45\xe4\x72\xeb\xaf\x7c\xaa\xd7\xe8\x85\xcd", b"\xd5\xa6\x8e\x2b\x0a\xd8\x8d\xa3\xac\xb4\x66\x46\x59\x3e\xde\x3e\x2a\xd2\x97\xa3\xda\x46\x4d\x27\xa6\xbf\x72\xca\xf5\xbc\xb7\xdd\x4b\xd4\x1b\xed\x7f\xcc\xeb\x3e\xbe\xe8\x12\x2e\xab\x0f\x62\xf7\x42\xa3\x00", b"\x74\x32\x56\xba\x32\xdc\xfb\x59\xc0\x2e\x56\x7f\x7c\x13\xb8\xe9\x97\xd7\x16\x0e\x3b\x91\x25\xf2\xcb\x86\xfe\x59\xbe\x5e\x3b\x41\x7c\x71\x64\xe9\xeb\x79\x16\x4c\x56\x61\x27\xf2\xc8\xdc\x65\x21\xef\xfe\x74\x33", b"\x7a\xd6\xe7\x88\xc7\x0b\x06\xcd\x7c\x48\xd5\x75\xbb\x3c\x93\xc9\x49\x4b\x21\x92\xab\xf7\x76\xd0\x9d\xb1\xcb\xeb\x53\x2d\xe2\xca\xe5\xa8\x07\x39\xed\xeb\xc8\x7c\x6a\xfe\xa5\x0e\x93\x00\x39\x2a\x1f\xb2\xd5\xad\x67", b"\xb7\x1a\xc9\x57\xd2\xdd\x71\x15\x2e\x41\x2d\x32\xee\xb8\xf9\xe1\x66\x3a\xd1\xda\x6d\xa5\x1a\x5f\xb8\xc0\x34\xf5\x23\xfe\xee\xaf\xac\x4f\x7b\x19\x7a\x2b\x78\x6c\xd7\x50\x80\xc9\xeb\x08\x99\x3b\x65\x1f\xc6\x4c\x1f\x9c", b"\x26\xc5\x7b\xa7\x10\x57\xb2\xee\xe3\x61\x94\xf7\x1a\x5a\xe4\xb6\xec\xc5\x2f\xf9\x24\xd5\x36\x71\xb5\x4a\xb1\xcc\x9b\x3d\x2f\x2a\x00\x84\x90\xfb\xc8\x26\x26\x8a\x36\x2c\x40\x13\x16\xce\x10\x0a\xe4\xd3\xa1\xab\x2c\xc2\xd2", b"\x6a\x78\x6b\x9d\xa4\xd8\x70\x74\x02\x5b\xf8\xa3\x24\xc9\xca\xe5\x06\x90\xfe\x9b\x87\xd0\xaa\xd1\x0c\x8b\x7f\x8e\xb6\xf9\xb1\xae\xbe\x1c\x0a\x55\xef\xb8\x65\x7c\x98\xce\x60\x17\xa3\x3d\x1b\xc4\xf7\x97\x9a\xca\xcf\x14\x3d\x0a", b"\x3a\x8c\xed\x5d\x6a\x3d\xc1\x02\x57\x49\xc2\xd7\x9f\xa3\x0a\x9b\x05\x79\x99\x3b\xf8\x04\x75\x16\x3c\xb1\x90\x2c\x48\xe4\x3e\x01\x13\xaa\x71\x9e\x19\xaf\xc7\x8b\x5a\x01\xd2\x07\x77\x9a\x59\x9f\x82\x7a\x2e\x93\xbe\x87\x5e\x44\x42", b"\x52\x74\x1a\xf7\x42\x1b\x3e\x6b\xfc\xb6\xc8\xb9\xeb\x37\xfb\xf2\xd2\x90\x9a\xed\xb0\x8d\xc0\xf8\x98\xf9\xce\x55\xfd\x8e\x41\xa5\x7d\x17\x18\x1e\x7a\xf0\xd6\x06\x81\xda\x1d\x91\x7f\x86\xce\xf5\x75\x1d\x29\x3f\x9f\x8e\xe9\x7d\x94\x7b", b"\x39\x73\xe8\x0b\xc3\xd9\x03\xce\x4d\x43\x1d\xa6\xb4\x6a\x76\xcb\x11\x45\x98\xd5\x4a\x2c\x31\x2b\x62\x3d\xfd\x7a\x0e\x2b\xd1\x8f\x09\x68\x6b\xab\xe0\x39\xfe\xfb\xe2\xe8\xdd\xc2\xf0\x75\xa1\x52\xb2\xf6\xb2\x21\x32\x56\xd7\xef\xb4\xb4\xb5", b"\x6b\x8c\x1a\x0c\x09\x8d\xf3\xc5\xe2\xc5\xdb\x2d\xd3\x65\xdb\x78\x1c\xb5\x7f\x06\x64\xf7\x02\xcd\xc6\x39\x73\xdb\x65\x6d\xa0\x52\x25\x26\xee\x31\xa0\xd1\x79\x56\x0b\x7c\x1e\xb5\x54\x19\xc2\x57\x41\x66\xbe\xdc\x46\x1b\xd1\x10\x59\x07\x21\xf0", b"\xa1\xf4\x69\x73\x40\x09\xdd\xec\x10\x91\x94\x22\x90\xba\x0d\x14\xfe\xf6\x26\x23\xca\x48\x04\xd4\x9f\xd3\xa5\x87\xfc\xfa\x19\x57\x1e\x78\xe2\xea\x5c\xc7\x48\x07\x9b\xda\xe7\x2c\x7d\xb2\x9c\xae\x7c\x2b\x64\x1f\x38\x65\xcc\x40\xaf\xe1\xa9\x92\x2d", b"\x41\xca\x71\x62\x47\xdf\xf8\x76\xd6\x5e\x00\x7a\x25\x17\x02\xe4\x3a\x79\x07\x69\x87\x4e\xf3\x76\x46\x4c\xdf\x59\x48\x32\x46\x6f\xc2\x11\xd4\x7e\xb5\x23\xdd\x75\xeb\x0b\xe5\x95\x93\x7b\xd5\x28\x73\x06\xc8\x64\x1a\xf6\xb6\xda\x7f\xd7\x24\xba\x6e\x6a", b"\x1e\x47\x24\x47\x13\xc3\xac\x6e\x3d\x02\xa9\xc2\x5a\x88\x3b\xb6\xe7\x91\x66\x27\xaa\xe7\xd6\x43\xc4\xcf\x35\x70\xf6\x5a\x5a\x79\xb7\x92\x4a\x4d\x26\x59\x16\xe7\x37\x38\xf2\x70\xd9\x6e\x7b\x3e\xc9\xd9\x80\xa5\x3c\xb5\x25\xa1\xf6\x84\xf6\x12\x73\x88\xa8", b"\x2d\x33\xaf\x09\x07\x9e\x9f\x31\x44\x77\x5c\x7b\xb1\xcc\xbb\xfe\xc8\x4e\x8d\x95\x77\x1a\x7f\x35\xa0\x5d\xc7\xd4\x1d\x18\x91\x9c\xd0\x96\xda\xd1\x04\xd8\x5b\x2f\xb8\x92\x2f\x8c\xc3\xc3\x7d\xf2\xee\x3f\x63\x6c\x8c\xe6\xf2\x1f\xcc\x0b\xb2\xf3\xd9\x9c\xd5\xe7", b"\x89\x9e\xf7\xf0\x25\xee\xd6\x80\x63\xda\x2e\x8a\xc6\x80\x5c\xdb\x6d\x8b\xa6\x19\x42\x43\x0e\x3a\xee\x95\xb1\xc3\xdd\x9a\xab\x30\x50\x0c\x3b\xbe\xe4\x13\x37\xd0\x5c\x70\xe5\x25\x3c\x0a\x2f\x51\x00\xc0\x25\xab\xaf\x93\x80\x49\xa6\x3d\x95\x0c\x18\x5f\x46\x71\x28", b"\x05\x76\xde\xb4\x88\x88\xa2\x33\x2e\x75\x0d\xd7\x51\x11\x8b\xf7\xc5\xab\x5f\xad\x41\x89\xb2\x44\x6f\x5f\x65\x29\x48\xd6\xa9\xc5\x5f\x07\x2c\x9a\x4d\x6f\xec\x28\x79\x8f\x3f\x57\x50\xfd\xf0\x7e\xd9\x4d\x22\xe8\x6a\x32\xa8\x52\x4c\x92\x43\x6a\xab\x19\x84\x5d\x2d\x69", b"\xbf\xac\x71\x56\x07\xa6\xf6\xb9\x9b\xfa\x62\x71\x59\x56\xd6\xe1\x9c\xbe\x3a\x21\x90\x43\xb3\xa3\x34\x9a\xe9\x97\x68\xfb\xa0\x7e\xaf\xd0\xe1\x46\xe3\x92\x04\x98\x8b\x67\x19\x6b\x3d\xcc\x9f\xfa\xc1\xe1\x69\xa0\x62\xa7\x02\x35\x10\xf2\x53\xd2\xc4\x67\xf8\x56\xd3\x29\xab", b"\xf7\x9f\xdf\x21\xe0\x5d\x4d\x46\x5a\xa0\x20\xfe\x2b\x96\x54\x65\xbe\xcd\x85\x34\x3c\xca\xa5\xdc\xcb\x97\x5d\x54\x0f\x54\xfd\xad\xa0\x59\xe3\x34\xc7\x61\x5f\xe7\x34\xb1\x29\x7d\x89\xf1\xa6\xe1\x76\x02\x36\x20\x52\xd7\xaf\xc6\x2b\xee\xeb\x1b\x65\xb8\x7f\x03\x05\x08\xa3\xee", b"\x69\x49\x44\x01\x1d\xa8\x75\x0e\x58\xd0\x37\x2e\x2a\xd9\x06\x54\xb3\x61\x06\xf0\xc0\xe7\x9e\x40\x76\xa0\xcb\x39\x3d\x6c\xc7\x7c\x41\xbb\xdd\xa7\x27\xb6\x9f\xb4\xf4\xcb\xe4\xfe\x0d\xaf\x3d\x5a\xce\x28\xc7\x5e\x43\x39\x51\xe5\x2e\x7b\x59\x25\x1f\xca\x42\xfa\x23\xaa\xf3\x58\x33", ]; //}}} //------------------------------------------------------------------------------ //{{{ Tables for error correction sizes /// `EC_BYTES_PER_BLOCK` provides the number of codewords (bytes) used for error /// correction per block in each version. /// /// This is a copy of ISO/IEC 18004:2006, §6.5.1, Table 9 (The 4th column divide /// by the sum of the 6th column). static EC_BYTES_PER_BLOCK: [[usize; 4]; 44] = [ // Normal versions. [7, 10, 13, 17], // 1 [10, 16, 22, 28], // 2 [15, 26, 18, 22], // 3 [20, 18, 26, 16], // 4 [26, 24, 18, 22], // 5 [18, 16, 24, 28], // 6 [20, 18, 18, 26], // 7 [24, 22, 22, 26], // 8 [30, 22, 20, 24], // 9 [18, 26, 24, 28], // 10 [20, 30, 28, 24], // 11 [24, 22, 26, 28], // 12 [26, 22, 24, 22], // 13 [30, 24, 20, 24], // 14 [22, 24, 30, 24], // 15 [24, 28, 24, 30], // 16 [28, 28, 28, 28], // 17 [30, 26, 28, 28], // 18 [28, 26, 26, 26], // 19 [28, 26, 30, 28], // 20 [28, 26, 28, 30], // 21 [28, 28, 30, 24], // 22 [30, 28, 30, 30], // 23 [30, 28, 30, 30], // 24 [26, 28, 30, 30], // 25 [28, 28, 28, 30], // 26 [30, 28, 30, 30], // 27 [30, 28, 30, 30], // 28 [30, 28, 30, 30], // 29 [30, 28, 30, 30], // 30 [30, 28, 30, 30], // 31 [30, 28, 30, 30], // 32 [30, 28, 30, 30], // 33 [30, 28, 30, 30], // 34 [30, 28, 30, 30], // 35 [30, 28, 30, 30], // 36 [30, 28, 30, 30], // 37 [30, 28, 30, 30], // 38 [30, 28, 30, 30], // 39 [30, 28, 30, 30], // 40 // Micro versions. [2, 0, 0, 0], // M1 [5, 6, 0, 0], // M2 [6, 8, 0, 0], // M3 [8, 10, 14, 0], // M4 ]; /// `DATA_BYTES_PER_BLOCK` provides the number of codewords (bytes) used for /// real data per block in each version. /// /// This is a copy of ISO/IEC 18004:2006, §6.5.1, Table 9 (The value "k" of the /// 7th column, followed by the 6th column). /// /// Every entry is a 4-tuple. Take `DATA_BYTES_PER_BLOCK[39][3] == (15, 20, 16, 61)` /// as an example, this means in version 40 with correction level H, there are /// 20 blocks with 15 bytes in size, and 61 blocks with 16 bytes in size. static DATA_BYTES_PER_BLOCK: [[(usize, usize, usize, usize); 4]; 44] = [ // Normal versions. [(19, 1, 0, 0), (16, 1, 0, 0), (13, 1, 0, 0), (9, 1, 0, 0)], // 1 [(34, 1, 0, 0), (28, 1, 0, 0), (22, 1, 0, 0), (16, 1, 0, 0)], // 2 [(55, 1, 0, 0), (44, 1, 0, 0), (17, 2, 0, 0), (13, 2, 0, 0)], // 3 [(80, 1, 0, 0), (32, 2, 0, 0), (24, 2, 0, 0), (9, 4, 0, 0)], // 4 [(108, 1, 0, 0), (43, 2, 0, 0), (15, 2, 16, 2), (11, 2, 12, 2)], // 5 [(68, 2, 0, 0), (27, 4, 0, 0), (19, 4, 0, 0), (15, 4, 0, 0)], // 6 [(78, 2, 0, 0), (31, 4, 0, 0), (14, 2, 15, 4), (13, 4, 14, 1)], // 7 [(97, 2, 0, 0), (38, 2, 39, 2), (18, 4, 19, 2), (14, 4, 15, 2)], // 8 [(116, 2, 0, 0), (36, 3, 37, 2), (16, 4, 17, 4), (12, 4, 13, 4)], // 9 [(68, 2, 69, 2), (43, 4, 44, 1), (19, 6, 20, 2), (15, 6, 16, 2)], // 10 [(81, 4, 0, 0), (50, 1, 51, 4), (22, 4, 23, 4), (12, 3, 13, 8)], // 11 [(92, 2, 93, 2), (36, 6, 37, 2), (20, 4, 21, 6), (14, 7, 15, 4)], // 12 [(107, 4, 0, 0), (37, 8, 38, 1), (20, 8, 21, 4), (11, 12, 12, 4)], // 13 [(115, 3, 116, 1), (40, 4, 41, 5), (16, 11, 17, 5), (12, 11, 13, 5)], // 14 [(87, 5, 88, 1), (41, 5, 42, 5), (24, 5, 25, 7), (12, 11, 13, 7)], // 15 [(98, 5, 99, 1), (45, 7, 46, 3), (19, 15, 20, 2), (15, 3, 16, 13)], // 16 [(107, 1, 108, 5), (46, 10, 47, 1), (22, 1, 23, 15), (14, 2, 15, 17)], // 17 [(120, 5, 121, 1), (43, 9, 44, 4), (22, 17, 23, 1), (14, 2, 15, 19)], // 18 [(113, 3, 114, 4), (44, 3, 45, 11), (21, 17, 22, 4), (13, 9, 14, 16)], // 19 [(107, 3, 108, 5), (41, 3, 42, 13), (24, 15, 25, 5), (15, 15, 16, 10)], // 20 [(116, 4, 117, 4), (42, 17, 0, 0), (22, 17, 23, 6), (16, 19, 17, 6)], // 21 [(111, 2, 112, 7), (46, 17, 0, 0), (24, 7, 25, 16), (13, 34, 0, 0)], // 22 [(121, 4, 122, 5), (47, 4, 48, 14), (24, 11, 25, 14), (15, 16, 16, 14)], // 23 [(117, 6, 118, 4), (45, 6, 46, 14), (24, 11, 25, 16), (16, 30, 17, 2)], // 24 [(106, 8, 107, 4), (47, 8, 48, 13), (24, 7, 25, 22), (15, 22, 16, 13)], // 25 [(114, 10, 115, 2), (46, 19, 47, 4), (22, 28, 23, 6), (16, 33, 17, 4)], // 26 [(122, 8, 123, 4), (45, 22, 46, 3), (23, 8, 24, 26), (15, 12, 16, 28)], // 27 [(117, 3, 118, 10), (45, 3, 46, 23), (24, 4, 25, 31), (15, 11, 16, 31)], // 28 [(116, 7, 117, 7), (45, 21, 46, 7), (23, 1, 24, 37), (15, 19, 16, 26)], // 29 [(115, 5, 116, 10), (47, 19, 48, 10), (24, 15, 25, 25), (15, 23, 16, 25)], // 30 [(115, 13, 116, 3), (46, 2, 47, 29), (24, 42, 25, 1), (15, 23, 16, 28)], // 31 [(115, 17, 0, 0), (46, 10, 47, 23), (24, 10, 25, 35), (15, 19, 16, 35)], // 32 [(115, 17, 116, 1), (46, 14, 47, 21), (24, 29, 25, 19), (15, 11, 16, 46)], // 33 [(115, 13, 116, 6), (46, 14, 47, 23), (24, 44, 25, 7), (16, 59, 17, 1)], // 34 [(121, 12, 122, 7), (47, 12, 48, 26), (24, 39, 25, 14), (15, 22, 16, 41)], // 35 [(121, 6, 122, 14), (47, 6, 48, 34), (24, 46, 25, 10), (15, 2, 16, 64)], // 36 [(122, 17, 123, 4), (46, 29, 47, 14), (24, 49, 25, 10), (15, 24, 16, 46)], // 37 [(122, 4, 123, 18), (46, 13, 47, 32), (24, 48, 25, 14), (15, 42, 16, 32)], // 38 [(117, 20, 118, 4), (47, 40, 48, 7), (24, 43, 25, 22), (15, 10, 16, 67)], // 39 [(118, 19, 119, 6), (47, 18, 48, 31), (24, 34, 25, 34), (15, 20, 16, 61)], // 40 // Micro versions. [(3, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)], // M1 [(5, 1, 0, 0), (4, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)], // M2 [(11, 1, 0, 0), (9, 1, 0, 0), (0, 0, 0, 0), (0, 0, 0, 0)], // M3 [(16, 1, 0, 0), (14, 1, 0, 0), (10, 1, 0, 0), (0, 0, 0, 0)], // M4 ]; //}}}