// QR Code Error Correction Levels
///|
pub(all) enum ErrorCorrectionLevel {
L // ~7% correction
M // ~15% correction
Q // ~25% correction
H // ~30% correction
} derive(Eq)
// QR Code Data Modes
///|
pub enum Mode {
Numeric
Alphanumeric
Byte
Kanji
} derive(Eq)
// QR Code Version (1-40)
///|
pub type Version = Int
// QR Code Module (pixel) state
///|
pub enum Module {
Light
Dark
} derive(Eq)
// QR Code Matrix
///|
pub struct Matrix {
size : Int
modules : Array[Array[Module]]
}
// QR Code Data
///|
pub struct QRCode {
version : Version
error_correction : ErrorCorrectionLevel
mode : Mode
data : String
matrix : Matrix
}
// Create a new QR code matrix
///|
pub fn new_matrix(size : Int) -> Matrix {
let modules = Array::new(capacity=size)
for i = 0; i < size; i = i + 1 {
modules.push(Array::make(size, Module::Light))
}
{ size, modules }
}
// Get module at position
///|
pub fn get_module(matrix : Matrix, x : Int, y : Int) -> Module {
if x >= 0 && x < matrix.size && y >= 0 && y < matrix.size {
matrix.modules[y][x]
} else {
Module::Light
}
}
// Set module at position
///|
pub fn set_module(matrix : Matrix, x : Int, y : Int, mod : Module) -> Unit {
if x >= 0 && x < matrix.size && y >= 0 && y < matrix.size {
matrix.modules[y][x] = mod
}
}
// Get QR code size for version
///|
pub fn version_to_size(version : Version) -> Int {
21 + (version - 1) * 4
}
// Determine the best mode for input data
///|
pub fn detect_mode(data : String) -> Mode {
let is_numeric = fn(c : Int) -> Bool {
c >= 48 && c <= 57 // '0' to '9'
}
let is_alphanumeric = fn(c : Int) -> Bool {
(c >= 48 && c <= 57) || // '0' to '9'
(c >= 65 && c <= 90) || // 'A' to 'Z'
c == 32 ||
c == 36 ||
c == 37 ||
c == 42 || // ' ', '$', '%', '*'
c == 43 ||
c == 45 ||
c == 46 ||
c == 47 ||
c == 58 // '+', '-', '.', '/', ':'
}
// Check each character in the string
let mut all_numeric = true
let mut all_alphanumeric = true
let mut has_kanji = false
let mut kanji_count = 0
let mut total_count = 0
for i = 0; i < data.length(); i = i + 1 {
let c = data.code_unit_at(i).to_int()
total_count = total_count + 1
if !is_numeric(c) {
all_numeric = false
}
if !is_alphanumeric(c) {
all_alphanumeric = false
}
if is_kanji_character(c) {
has_kanji = true
kanji_count = kanji_count + 1
}
}
// Choose the best mode based on content
if all_numeric {
Mode::Numeric
} else if all_alphanumeric {
Mode::Alphanumeric
} else if has_kanji && kanji_count * 2 > total_count { // More than 50% Kanji
Mode::Kanji
} else {
Mode::Byte
}
}
// Note: Alphanumeric values are computed directly in get_alphanumeric_value function
// Get alphanumeric value for character
///|
fn get_alphanumeric_value(c : Int) -> Int {
if c >= 48 && c <= 57 { // '0' to '9'
c - 48
} else if c >= 65 && c <= 90 { // 'A' to 'Z'
c - 65 + 10
} else {
match c {
32 => 36 // space
36 => 37 // $
37 => 38 // %
42 => 39 // *
43 => 40 // +
45 => 41 // -
46 => 42 // .
47 => 43 // /
58 => 44 // :
_ => 0
}
}
}
// Encode data in numeric mode
///|
pub fn encode_numeric(data : String) -> Array[Int] {
let mut result = []
let mut i = 0
while i < data.length() {
let mut group = 0
let mut count = 0
// Process up to 3 digits at a time
while count < 3 && i < data.length() {
let c = data.code_unit_at(i).to_int()
if c >= 48 && c <= 57 { // '0' to '9'
group = group * 10 + (c - 48)
count = count + 1
i = i + 1
} else {
break
}
}
// Add the encoded group
if count == 3 {
result = result + [group] // 10 bits for 3 digits
} else if count == 2 {
result = result + [group] // 7 bits for 2 digits
} else if count == 1 {
result = result + [group] // 4 bits for 1 digit
}
}
result
}
// Encode data in alphanumeric mode
///|
pub fn encode_alphanumeric(data : String) -> Array[Int] {
let mut result = []
let mut i = 0
while i < data.length() {
let mut group = 0
let mut count = 0
// Process up to 2 characters at a time
while count < 2 && i < data.length() {
let c = data.code_unit_at(i).to_int()
let value = get_alphanumeric_value(c)
if count == 0 {
group = value * 45
} else {
group = group + value
}
count = count + 1
i = i + 1
}
// Add the encoded group
if count == 2 {
result = result + [group] // 11 bits for 2 characters
} else if count == 1 {
result = result + [group / 45] // 6 bits for 1 character
}
}
result
}
// Encode data in byte mode
///|
pub fn encode_byte(data : String) -> Array[Int] {
let mut result = []
for i = 0; i < data.length(); i = i + 1 {
let c = data.code_unit_at(i).to_int()
result = result + [c] // 8 bits per byte
}
result
}
// Encode data in Kanji mode (Shift JIS encoding)
///|
pub fn encode_kanji(data : String) -> Array[Int] {
let mut result = []
let mut i = 0
while i < data.length() {
let c = data.code_unit_at(i).to_int()
// For proper Kanji encoding, we would need Shift JIS conversion
// For now, we'll implement a simplified version that handles basic Kanji
if is_kanji_character(c) {
// Encode Kanji character as 13-bit value
let kanji_value = encode_kanji_character(c)
result = result + [kanji_value]
i = i + 1
} else {
// Non-Kanji character, encode as byte
result = result + [c]
i = i + 1
}
}
result
}
// Check if character is a Kanji character (simplified)
///|
pub fn is_kanji_character(c : Int) -> Bool {
// Simplified Kanji detection - checks for common Kanji Unicode ranges
// Hiragana: U+3040-U+309F (12352-12447)
// Katakana: U+30A0-U+30FF (12448-12543)
// CJK Unified Ideographs: U+4E00-U+9FAF (19968-40879)
(c >= 12352 && c <= 12447) || // Hiragana
(c >= 12448 && c <= 12543) || // Katakana
(c >= 19968 && c <= 40879) // CJK Unified Ideographs
}
// Encode a Kanji character to its QR code value (simplified)
///|
fn encode_kanji_character(c : Int) -> Int {
// Simplified Kanji encoding - in a real implementation, this would
// convert from Unicode to Shift JIS and then to QR Kanji mode value
// For now, we'll use a simplified mapping
if c >= 19968 && c <= 40879 { // CJK Unified Ideographs
// Map to a 13-bit value (0-8191)
(c - 19968) % 8192
} else if c >= 12352 && c <= 12447 { // Hiragana
c - 12352 + 4000
} else if c >= 12448 && c <= 12543 { // Katakana
c - 12448 + 4100
} else {
c % 8192 // Fallback
}
}
// Main encoding function
///|
pub fn encode_data(data : String, mode : Mode) -> Array[Int] {
match mode {
Mode::Numeric => encode_numeric(data)
Mode::Alphanumeric => encode_alphanumeric(data)
Mode::Byte => encode_byte(data)
Mode::Kanji => encode_kanji(data) // Now uses proper Kanji encoding
}
}
// QR Code Pattern Functions
// Place finder pattern (7x7 square with specific pattern)
///|
fn place_finder_pattern(matrix : Matrix, x : Int, y : Int) -> Unit {
let pattern = [
[true, true, true, true, true, true, true],
[true, false, false, false, false, false, true],
[true, false, true, true, true, false, true],
[true, false, true, true, true, false, true],
[true, false, true, true, true, false, true],
[true, false, false, false, false, false, true],
[true, true, true, true, true, true, true],
]
for i = 0; i < 7; i = i + 1 {
for j = 0; j < 7; j = j + 1 {
let mod = if pattern[i][j] { Module::Dark } else { Module::Light }
set_module(matrix, x + j, y + i, mod)
}
}
}
// Place separator (white border around finder patterns)
///|
fn place_separator(matrix : Matrix, x : Int, y : Int) -> Unit {
for i = 0; i < 8; i = i + 1 {
for j = 0; j < 8; j = j + 1 {
if (i == 0 || i == 7 || j == 0 || j == 7) &&
x + j >= 0 &&
x + j < matrix.size &&
y + i >= 0 &&
y + i < matrix.size {
set_module(matrix, x + j, y + i, Module::Light)
}
}
}
}
// Place timing patterns (alternating dark/light modules)
///|
fn place_timing_patterns(matrix : Matrix) -> Unit {
for i = 8; i < matrix.size - 8; i = i + 1 {
// Timing pattern alternates starting with dark at position 8
// Pattern: 8=Dark, 9=Light, 10=Dark, 11=Light, etc.
let mod = if (i - 8) % 2 == 0 { Module::Dark } else { Module::Light }
set_module(matrix, i, 6, mod) // Horizontal timing
set_module(matrix, 6, i, mod) // Vertical timing
}
}
// Place dark module (always at specific position)
///|
fn place_dark_module(matrix : Matrix, version : Version) -> Unit {
set_module(matrix, 8, 4 * version + 9, Module::Dark)
}
// Get alignment pattern positions for a given version
///|
pub fn get_alignment_positions(version : Version) -> Array[Int] {
match version {
1 => []
2 => [6, 18]
3 => [6, 22]
4 => [6, 26]
5 => [6, 30]
6 => [6, 34]
7 => [6, 22, 38]
8 => [6, 24, 42]
9 => [6, 26, 46]
10 => [6, 28, 50]
11 => [6, 30, 54]
12 => [6, 32, 58]
13 => [6, 34, 62]
14 => [6, 26, 46, 66]
15 => [6, 26, 48, 70]
16 => [6, 26, 50, 74]
17 => [6, 30, 54, 78]
18 => [6, 30, 56, 82]
19 => [6, 30, 58, 86]
20 => [6, 34, 62, 90]
_ => [6, 30, 54, 78] // Default pattern for higher versions
}
}
// Place alignment pattern (5x5 pattern)
///|
fn place_alignment_pattern(matrix : Matrix, x : Int, y : Int) -> Unit {
let pattern = [
[true, true, true, true, true],
[true, false, false, false, true],
[true, false, true, false, true],
[true, false, false, false, true],
[true, true, true, true, true],
]
for i = 0; i < 5; i = i + 1 {
for j = 0; j < 5; j = j + 1 {
let mod = if pattern[i][j] { Module::Dark } else { Module::Light }
set_module(matrix, x - 2 + j, y - 2 + i, mod)
}
}
}
// Check if alignment pattern would conflict with finder patterns
///|
fn conflicts_with_finder_pattern(x : Int, y : Int, size : Int) -> Bool {
// Check distance from finder patterns (top-left, top-right, bottom-left)
let distance_tl = x * x + y * y
let distance_tr = (x - (size - 1)) * (x - (size - 1)) + y * y
let distance_bl = x * x + (y - (size - 1)) * (y - (size - 1))
// If too close to any finder pattern (within 7 modules), it conflicts
distance_tl < 49 || distance_tr < 49 || distance_bl < 49
}
// Place all alignment patterns for the version
///|
fn place_alignment_patterns(matrix : Matrix, version : Version) -> Unit {
let positions = get_alignment_positions(version)
let size = matrix.size
for i = 0; i < positions.length(); i = i + 1 {
for j = 0; j < positions.length(); j = j + 1 {
let x = positions[i]
let y = positions[j]
// Don't place alignment pattern if it conflicts with finder patterns
if !conflicts_with_finder_pattern(x, y, size) {
place_alignment_pattern(matrix, x, y)
}
}
}
}
// Initialize QR matrix with patterns
///|
pub fn init_matrix(version : Version) -> Matrix {
let size = version_to_size(version)
let matrix = new_matrix(size)
// Place finder patterns
place_finder_pattern(matrix, 0, 0) // Top-left
place_finder_pattern(matrix, size - 7, 0) // Top-right
place_finder_pattern(matrix, 0, size - 7) // Bottom-left
// Place separators
place_separator(matrix, -1, -1) // Top-left
place_separator(matrix, size - 8, -1) // Top-right
place_separator(matrix, -1, size - 8) // Bottom-left
// Place timing patterns
place_timing_patterns(matrix)
// Place alignment patterns (for versions 2+)
place_alignment_patterns(matrix, version)
// Place dark module
place_dark_module(matrix, version)
matrix
}
// Simple data placement (zigzag pattern)
///|
fn place_data(matrix : Matrix, data : Array[Int]) -> Unit {
let mut data_index = 0
let mut up = true
let mut col = matrix.size - 1
while col > 0 {
if col == 6 {
col = col - 1
} // Skip timing column
for i = 0; i < matrix.size; i = i + 1 {
let row = if up { matrix.size - 1 - i } else { i }
for c = 0; c < 2; c = c + 1 {
let x = col - c
// Check if position is available (not a function pattern)
if is_data_position(matrix, x, row) && data_index < data.length() {
let bit = if data_index < data.length() {
data[data_index]
} else {
0
}
let mod = if bit != 0 { Module::Dark } else { Module::Light }
set_module(matrix, x, row, mod)
data_index = data_index + 1
}
}
}
up = !up
col = col - 2
}
}
// Check if position is available for data (not occupied by function patterns)
///|
pub fn is_data_position(matrix : Matrix, x : Int, y : Int) -> Bool {
let size = matrix.size
// Check finder patterns and separators
if (x < 9 && y < 9) || // Top-left
(x >= size - 8 && y < 9) || // Top-right
(x < 9 && y >= size - 8) { // Bottom-left
false
} else if x == 6 || y == 6 { // Timing patterns
false
} else if x == 8 && y >= size - 7 { // Dark module area
false
} else {
// Check alignment patterns
let version = (size - 17) / 4 // Calculate version from size
let positions = get_alignment_positions(version)
let mut is_alignment = false
for i = 0; i < positions.length(); i = i + 1 {
for j = 0; j < positions.length(); j = j + 1 {
let ax = positions[i]
let ay = positions[j]
// Skip if this would conflict with finder patterns
if !conflicts_with_finder_pattern(ax, ay, size) {
// Check if current position is within alignment pattern (5x5)
if x >= ax - 2 && x <= ax + 2 && y >= ay - 2 && y <= ay + 2 {
is_alignment = true
}
}
}
}
!is_alignment
}
}
// Main QR code generation function
///|
pub fn generate_qr(
data : String,
error_correction : ErrorCorrectionLevel,
) -> QRCode {
let mode = detect_mode(data)
let version = find_minimum_version(data, mode, error_correction)
let matrix = init_matrix(version)
let encoded_data = encode_data(data, mode)
// Apply Reed-Solomon error correction
let corrected_data = apply_error_correction(
encoded_data, mode, version, error_correction,
)
// Convert corrected data to bits for placement
let mut bit_data = []
for codeword in corrected_data {
for bit = 7; bit >= 0; bit = bit - 1 {
bit_data = bit_data + [(codeword >> bit) & 1]
}
}
// Place corrected data in matrix
place_data(matrix, bit_data)
{ version, error_correction, mode, data, matrix }
}
// Simple API functions
// Generate QR code with default error correction level (M)
///|
pub fn encode(data : String) -> QRCode {
generate_qr_with_mask(data, ErrorCorrectionLevel::M)
}
// Generate QR code with specific error correction level
///|
pub fn encode_with_ec(data : String, ec : ErrorCorrectionLevel) -> QRCode {
generate_qr_with_mask(data, ec)
}
// Generate QR code with specific mode and error correction level
///|
pub fn encode_with_mode_and_ec(
data : String,
mode : Mode,
version : Version,
ec : ErrorCorrectionLevel,
) -> QRCode {
let matrix = init_matrix(version)
let encoded_data = encode_data(data, mode)
// Apply Reed-Solomon error correction
let corrected_data = apply_error_correction(encoded_data, mode, version, ec)
// Convert corrected data to bits for placement
let mut bit_data = []
for codeword in corrected_data {
for bit = 7; bit >= 0; bit = bit - 1 {
bit_data = bit_data + [(codeword >> bit) & 1]
}
}
// Place corrected data in matrix
place_data(matrix, bit_data)
{ version, error_correction: ec, mode, data, matrix }
}
// Reed-Solomon Error Correction Implementation
// Galois Field arithmetic for GF(256)
///|
let gf_exp : ReadOnlyArray[Int] = [
1, 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,
]
///|
let gf_log : ReadOnlyArray[Int] = [
0, 0, 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,
]
// Galois field multiplication
///|
pub fn gf_mul(a : Int, b : Int) -> Int {
if a == 0 || b == 0 || a >= 256 || b >= 256 || a < 0 || b < 0 {
0
} else {
let log_sum = (gf_log[a] + gf_log[b]) % 255
gf_exp[log_sum]
}
}
// Galois field division
///|
pub fn gf_div(a : Int, b : Int) -> Int {
if a == 0 || a >= 256 || a < 0 {
0
} else if b == 0 || b >= 256 || b < 0 {
abort("Division by zero or invalid value in GF")
} else {
let log_diff = (gf_log[a] - gf_log[b] + 255) % 255
gf_exp[log_diff]
}
}
// Generate Reed-Solomon generator polynomial
///|
fn rs_generator_poly(nsym : Int) -> Array[Int] {
let mut g = [1]
for i = 0; i < nsym; i = i + 1 {
let new_g = Array::make(g.length() + 1, 0)
for j = 0; j < g.length(); j = j + 1 {
let exp_val = if i < gf_exp.length() { gf_exp[i] } else { 1 }
new_g[j] = new_g[j] ^ gf_mul(g[j], exp_val)
if j + 1 < new_g.length() {
new_g[j + 1] = new_g[j + 1] ^ g[j]
}
}
g = new_g
}
g
}
// Reed-Solomon encoding
///|
fn rs_encode(data : Array[Int], nsym : Int) -> Array[Int] {
let gen = rs_generator_poly(nsym)
let result = Array::make(data.length() + nsym, 0)
// Copy data to result
for i = 0; i < data.length(); i = i + 1 {
result[i] = data[i]
}
// Perform polynomial division
for i = 0; i < data.length(); i = i + 1 {
let coef = result[i]
if coef != 0 {
for j = 1; j < gen.length(); j = j + 1 {
if i + j < result.length() {
result[i + j] = result[i + j] ^ gf_mul(gen[j], coef)
}
}
}
}
result
}
// Data capacity table for different QR versions and error correction levels
// Returns total codewords for the version
///|
fn get_total_codewords(version : Version) -> Int {
match version {
1 => 26
2 => 44
3 => 70
4 => 100
5 => 134
6 => 172
7 => 196
8 => 242
9 => 292
10 => 346
11 => 404
12 => 466
13 => 532
14 => 581
15 => 655
16 => 733
17 => 815
18 => 901
19 => 991
20 => 1085
21 => 1156
22 => 1258
23 => 1364
24 => 1474
25 => 1588
26 => 1706
27 => 1828
28 => 1921
29 => 2051
30 => 2185
31 => 2323
32 => 2465
33 => 2611
34 => 2761
35 => 2876
36 => 3034
37 => 3196
38 => 3362
39 => 3532
40 => 3706
_ => 26 // Default to version 1
}
}
// Get error correction codewords count for each level and version
///|
pub fn get_error_correction_codewords(
version : Version,
ec_level : ErrorCorrectionLevel,
) -> Int {
// Simplified table - in a full implementation, this would be a comprehensive lookup table
if version == 1 {
match ec_level {
ErrorCorrectionLevel::L => 7 // 7 error correction codewords
ErrorCorrectionLevel::M => 10 // 10 error correction codewords
ErrorCorrectionLevel::Q => 13 // 13 error correction codewords
ErrorCorrectionLevel::H => 17 // 17 error correction codewords
}
} else {
// Approximate calculation for other versions
let total = get_total_codewords(version)
match ec_level {
ErrorCorrectionLevel::L => total * 7 / 100 // ~7%
ErrorCorrectionLevel::M => total * 15 / 100 // ~15%
ErrorCorrectionLevel::Q => total * 25 / 100 // ~25%
ErrorCorrectionLevel::H => total * 30 / 100 // ~30%
}
}
}
// Get total data capacity for version and error correction level
///|
pub fn get_data_capacity(
version : Version,
ec_level : ErrorCorrectionLevel,
) -> Int {
let total_capacity = get_total_codewords(version)
let ec_codewords = get_error_correction_codewords(version, ec_level)
total_capacity - ec_codewords
}
// Calculate required data length including mode indicator and character count
///|
fn calculate_required_length(
data : String,
mode : Mode,
version : Version,
) -> Int {
let data_length = data.length()
// Mode indicator: 4 bits
let mode_bits = 4
// Character count indicator bits (depends on version and mode)
let count_bits = if version <= 9 {
match mode {
Mode::Numeric => 10
Mode::Alphanumeric => 9
Mode::Byte => 8
Mode::Kanji => 8
}
} else if version <= 26 {
match mode {
Mode::Numeric => 12
Mode::Alphanumeric => 11
Mode::Byte => 16
Mode::Kanji => 10
}
} else {
match mode {
Mode::Numeric => 14
Mode::Alphanumeric => 13
Mode::Byte => 16
Mode::Kanji => 12
}
}
// Data bits (approximate)
let data_bits = match mode {
Mode::Numeric => (data_length * 10 + 2) / 3 // ~3.33 bits per digit
Mode::Alphanumeric => (data_length * 11 + 1) / 2 // ~5.5 bits per char
Mode::Byte => data_length * 8 // 8 bits per byte
Mode::Kanji => data_length * 13 // 13 bits per Kanji
}
// Total bits needed, converted to bytes (rounded up)
(mode_bits + count_bits + data_bits + 7) / 8
}
// Find the minimum QR version that can hold the data
///|
pub fn find_minimum_version(
data : String,
mode : Mode,
ec_level : ErrorCorrectionLevel,
) -> Version {
for version = 1; version <= 40; version = version + 1 {
let capacity = get_data_capacity(version, ec_level)
let required = calculate_required_length(data, mode, version)
if capacity >= required {
return version
}
}
40 // Return maximum version if data is too large
}
// Convert data to codewords with proper formatting
///|
fn format_data_codewords(
data : Array[Int],
mode : Mode,
data_length : Int,
capacity : Int,
) -> Array[Int] {
let mut codewords = []
// Add mode indicator (4 bits)
let mode_indicator = match mode {
Mode::Numeric => 1
Mode::Alphanumeric => 2
Mode::Byte => 4
Mode::Kanji => 8
}
codewords = codewords + [mode_indicator << 4]
// Add character count indicator (simplified for version 1)
let _count_bits = match mode {
Mode::Numeric => 10
Mode::Alphanumeric => 9
Mode::Byte => 8
Mode::Kanji => 8
}
// For simplicity, pack data length into next codeword
if codewords.length() > 0 {
codewords[0] = codewords[0] | ((data_length >> 4) & 0x0F)
}
codewords = codewords + [(data_length << 4) & 0xF0]
// Add data codewords
codewords = codewords + data
// Add terminator (0000) if space allows
if codewords.length() < capacity {
codewords = codewords + [0]
}
// Pad to required capacity with alternating pad bytes
let mut pad_byte = 0xEC
while codewords.length() < capacity {
codewords = codewords + [pad_byte]
pad_byte = if pad_byte == 0xEC { 0x11 } else { 0xEC }
}
codewords
}
// Apply Reed-Solomon error correction to data
///|
pub fn apply_error_correction(
data : Array[Int],
mode : Mode,
version : Version,
ec_level : ErrorCorrectionLevel,
) -> Array[Int] {
let capacity = get_data_capacity(version, ec_level)
let ec_codewords = get_error_correction_codewords(version, ec_level)
// Format data into proper codewords
let formatted_data = format_data_codewords(
data,
mode,
data.length(),
capacity,
)
// Apply Reed-Solomon encoding
let encoded = rs_encode(formatted_data, ec_codewords)
encoded
}
// Helper functions for tests to create enum values
///|
pub fn make_byte_mode() -> Mode {
Mode::Byte
}
///|
pub fn make_kanji_mode() -> Mode {
Mode::Kanji
}
///|
pub fn make_ec_level_l() -> ErrorCorrectionLevel {
ErrorCorrectionLevel::L
}
///|
pub fn make_ec_level_m() -> ErrorCorrectionLevel {
ErrorCorrectionLevel::M
}
///|
pub fn make_ec_level_q() -> ErrorCorrectionLevel {
ErrorCorrectionLevel::Q
}
///|
pub fn make_ec_level_h() -> ErrorCorrectionLevel {
ErrorCorrectionLevel::H
}
// QR Code Masking Patterns (8 standard patterns)
///|
pub enum MaskPattern {
Pattern0 // (i + j) % 2 == 0
Pattern1 // i % 2 == 0
Pattern2 // j % 3 == 0
Pattern3 // (i + j) % 3 == 0
Pattern4 // (i / 2 + j / 3) % 2 == 0
Pattern5 // (i * j) % 2 + (i * j) % 3 == 0
Pattern6 // ((i * j) % 2 + (i * j) % 3) % 2 == 0
Pattern7 // ((i + j) % 2 + (i * j) % 3) % 2 == 0
} derive(Eq)
// Apply mask pattern to QR matrix
///|
pub fn apply_mask(matrix : Matrix, pattern : MaskPattern) -> Unit {
for i = 0; i < matrix.size; i = i + 1 {
for j = 0; j < matrix.size; j = j + 1 {
if is_data_position(matrix, j, i) {
let should_mask = match pattern {
MaskPattern::Pattern0 => (i + j) % 2 == 0
MaskPattern::Pattern1 => i % 2 == 0
MaskPattern::Pattern2 => j % 3 == 0
MaskPattern::Pattern3 => (i + j) % 3 == 0
MaskPattern::Pattern4 => (i / 2 + j / 3) % 2 == 0
MaskPattern::Pattern5 => i * j % 2 + i * j % 3 == 0
MaskPattern::Pattern6 => (i * j % 2 + i * j % 3) % 2 == 0
MaskPattern::Pattern7 => ((i + j) % 2 + i * j % 3) % 2 == 0
}
if should_mask {
let current = get_module(matrix, j, i)
let flipped = match current {
Module::Dark => Module::Light
Module::Light => Module::Dark
}
set_module(matrix, j, i, flipped)
}
}
}
}
}
// Format Information encoding (15 bits: 5 data + 10 error correction)
///|
fn encode_format_info(
ec_level : ErrorCorrectionLevel,
mask_pattern : MaskPattern,
) -> Int {
let ec_bits = match ec_level {
ErrorCorrectionLevel::L => 1 // 01
ErrorCorrectionLevel::M => 0 // 00
ErrorCorrectionLevel::Q => 3 // 11
ErrorCorrectionLevel::H => 2 // 10
}
let mask_bits = match mask_pattern {
MaskPattern::Pattern0 => 0
MaskPattern::Pattern1 => 1
MaskPattern::Pattern2 => 2
MaskPattern::Pattern3 => 3
MaskPattern::Pattern4 => 4
MaskPattern::Pattern5 => 5
MaskPattern::Pattern6 => 6
MaskPattern::Pattern7 => 7
}
let data_bits = (ec_bits << 3) | mask_bits
// BCH error correction for format info (simplified)
let generator = 0x537 // BCH(15,5) generator polynomial
let mut format_bits = data_bits << 10
for i = 0; i < 5; i = i + 1 {
if ((format_bits >> 14) & 1) == 1 {
format_bits = format_bits ^ generator
}
format_bits = format_bits << 1
}
let format_info = (data_bits << 10) | (format_bits >> 5)
format_info ^ 0x5412 // XOR mask for format info
}
// Version Information encoding (18 bits: 6 data + 12 error correction)
// Required for QR versions 7 and above
///|
pub fn encode_version_info(version : Version) -> Int {
if version < 7 {
0 // No version info needed for versions 1-6
} else {
// Version information with BCH error correction
let version_data = version // 6 bits for version (7-40)
// BCH(18,6) generator polynomial for version info
let generator = 0x1F25 // BCH generator polynomial
let mut version_bits = version_data << 12
for i = 0; i < 6; i = i + 1 {
if ((version_bits >> 17) & 1) == 1 {
version_bits = version_bits ^ generator
}
version_bits = version_bits << 1
}
(version_data << 12) | (version_bits >> 6)
}
}
// Place version information in QR matrix (for versions 7+)
///|
fn place_version_info(matrix : Matrix, version : Version) -> Unit {
if version >= 7 {
let version_info = encode_version_info(version)
let size = matrix.size
// Place version info in bottom-left corner
for i = 0; i < 6; i = i + 1 {
for j = 0; j < 3; j = j + 1 {
let bit = (version_info >> (i * 3 + j)) & 1
let mod = if bit == 1 { Module::Dark } else { Module::Light }
set_module(matrix, i, size - 11 + j, mod)
}
}
// Place version info in top-right corner (transposed)
for i = 0; i < 6; i = i + 1 {
for j = 0; j < 3; j = j + 1 {
let bit = (version_info >> (i * 3 + j)) & 1
let mod = if bit == 1 { Module::Dark } else { Module::Light }
set_module(matrix, size - 11 + j, i, mod)
}
}
}
}
// Place format information in QR matrix
///|
fn place_format_info(matrix : Matrix, format_info : Int) -> Unit {
// Place format info around top-left finder pattern
for i = 0; i < 6; i = i + 1 {
let bit = (format_info >> i) & 1
let mod = if bit == 1 { Module::Dark } else { Module::Light }
set_module(matrix, 8, i, mod)
}
let bit6 = (format_info >> 6) & 1
let mod6 = if bit6 == 1 { Module::Dark } else { Module::Light }
set_module(matrix, 8, 7, mod6)
set_module(matrix, 8, 8, mod6)
set_module(matrix, 7, 8, mod6)
for i = 9; i < 15; i = i + 1 {
let bit = (format_info >> (14 - i)) & 1
let mod = if bit == 1 { Module::Dark } else { Module::Light }
set_module(matrix, 14 - i, 8, mod)
}
// Place format info around other finder patterns
let size = matrix.size
for i = 0; i < 8; i = i + 1 {
let bit = (format_info >> i) & 1
let mod = if bit == 1 { Module::Dark } else { Module::Light }
set_module(matrix, size - 1 - i, 8, mod)
}
for i = 8; i < 15; i = i + 1 {
let bit = (format_info >> i) & 1
let mod = if bit == 1 { Module::Dark } else { Module::Light }
set_module(matrix, 8, size - 15 + i, mod)
}
}
// Evaluate mask pattern quality (penalty scoring)
///|
pub fn evaluate_mask_penalty(matrix : Matrix) -> Int {
let mut penalty = 0
let size = matrix.size
// Rule 1: Adjacent modules in row/column with same color
for i = 0; i < size; i = i + 1 {
let mut row_count = 1
let mut col_count = 1
for j = 1; j < size; j = j + 1 {
// Check row
if get_module(matrix, j, i) == get_module(matrix, j - 1, i) {
row_count = row_count + 1
} else {
if row_count >= 5 {
penalty = penalty + (row_count - 2)
}
row_count = 1
}
// Check column
if get_module(matrix, i, j) == get_module(matrix, i, j - 1) {
col_count = col_count + 1
} else {
if col_count >= 5 {
penalty = penalty + (col_count - 2)
}
col_count = 1
}
}
if row_count >= 5 {
penalty = penalty + (row_count - 2)
}
if col_count >= 5 {
penalty = penalty + (col_count - 2)
}
}
// Rule 2: Block of modules in same color (2x2)
for i = 0; i < size - 1; i = i + 1 {
for j = 0; j < size - 1; j = j + 1 {
let mod = get_module(matrix, j, i)
if get_module(matrix, j + 1, i) == mod &&
get_module(matrix, j, i + 1) == mod &&
get_module(matrix, j + 1, i + 1) == mod {
penalty = penalty + 3
}
}
}
penalty
}
// Choose best mask pattern
///|
pub fn choose_best_mask(
matrix : Matrix,
ec_level : ErrorCorrectionLevel,
) -> MaskPattern {
let mut best_pattern = MaskPattern::Pattern0
let mut best_penalty = 999999
let patterns = [
MaskPattern::Pattern0,
MaskPattern::Pattern1,
MaskPattern::Pattern2,
MaskPattern::Pattern3,
MaskPattern::Pattern4,
MaskPattern::Pattern5,
MaskPattern::Pattern6,
MaskPattern::Pattern7,
]
for pattern in patterns {
// Create a copy of the matrix to test
let test_matrix = new_matrix(matrix.size)
for i = 0; i < matrix.size; i = i + 1 {
for j = 0; j < matrix.size; j = j + 1 {
set_module(test_matrix, j, i, get_module(matrix, j, i))
}
}
apply_mask(test_matrix, pattern)
let format_info = encode_format_info(ec_level, pattern)
place_format_info(test_matrix, format_info)
let penalty = evaluate_mask_penalty(test_matrix)
if penalty < best_penalty {
best_penalty = penalty
best_pattern = pattern
}
}
best_pattern
}
// Enhanced QR code generation with masking
///|
pub fn generate_qr_with_mask(
data : String,
error_correction : ErrorCorrectionLevel,
) -> QRCode {
let mode = detect_mode(data)
let version = find_minimum_version(data, mode, error_correction)
let matrix = init_matrix(version)
let encoded_data = encode_data(data, mode)
// Apply Reed-Solomon error correction
let corrected_data = apply_error_correction(
encoded_data, mode, version, error_correction,
)
// Convert corrected data to bits for placement
let mut bit_data = []
for codeword in corrected_data {
for bit = 7; bit >= 0; bit = bit - 1 {
bit_data = bit_data + [(codeword >> bit) & 1]
}
}
// Place corrected data in matrix
place_data(matrix, bit_data)
// Choose and apply best mask pattern
let best_mask = choose_best_mask(matrix, error_correction)
apply_mask(matrix, best_mask)
// Place format information
let format_info = encode_format_info(error_correction, best_mask)
place_format_info(matrix, format_info)
// Place version information (for versions 7+)
place_version_info(matrix, version)
{ version, error_correction, mode, data, matrix }
}
// Helper function to create mask patterns for tests
///|
pub fn make_mask_pattern_0() -> MaskPattern {
MaskPattern::Pattern0
}