mirror of
https://github.com/DarkFlippers/unleashed-firmware.git
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971 lines
31 KiB
C
971 lines
31 KiB
C
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/**
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* The MIT License (MIT)
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*
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* This library is written and maintained by Richard Moore.
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* Major parts were derived from Project Nayuki's library.
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*
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* Copyright (c) 2017 Richard Moore (https://github.com/ricmoo/QRCode)
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* Copyright (c) 2017 Project Nayuki (https://www.nayuki.io/page/qr-code-generator-library)
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*
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* Permission is hereby granted, free of charge, to any person obtaining a copy
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* of this software and associated documentation files (the "Software"), to deal
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* in the Software without restriction, including without limitation the rights
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* to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
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* copies of the Software, and to permit persons to whom the Software is
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* furnished to do so, subject to the following conditions:
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*
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* The above copyright notice and this permission notice shall be included in
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* all copies or substantial portions of the Software.
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*
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* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
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* IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
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* FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
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* AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
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* LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
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* OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
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* THE SOFTWARE.
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*/
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/**
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* Special thanks to Nayuki (https://www.nayuki.io/) from which this library was
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* heavily inspired and compared against.
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*
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* See: https://github.com/nayuki/QR-Code-generator/tree/master/cpp
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*/
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#include "qrcode.h"
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#include <stdlib.h>
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#include <string.h>
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#pragma mark - Error Correction Lookup tables
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#if LOCK_VERSION == 0
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static const uint16_t NUM_ERROR_CORRECTION_CODEWORDS[4][40] = {
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// 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 Error correction level
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{10, 16, 26, 36, 48, 64, 72, 88, 110, 130, 150, 176, 198, 216,
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240, 280, 308, 338, 364, 416, 442, 476, 504, 560, 588, 644, 700, 728,
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784, 812, 868, 924, 980, 1036, 1064, 1120, 1204, 1260, 1316, 1372}, // Medium
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{7, 10, 15, 20, 26, 36, 40, 48, 60, 72, 80, 96, 104, 120,
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132, 144, 168, 180, 196, 224, 224, 252, 270, 300, 312, 336, 360, 390,
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420, 450, 480, 510, 540, 570, 570, 600, 630, 660, 720, 750}, // Low
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{17, 28, 44, 64, 88, 112, 130, 156, 192, 224, 264, 308, 352, 384,
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432, 480, 532, 588, 650, 700, 750, 816, 900, 960, 1050, 1110, 1200, 1260,
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1350, 1440, 1530, 1620, 1710, 1800, 1890, 1980, 2100, 2220, 2310, 2430}, // High
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{13, 22, 36, 52, 72, 96, 108, 132, 160, 192, 224, 260, 288, 320,
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360, 408, 448, 504, 546, 600, 644, 690, 750, 810, 870, 952, 1020, 1050,
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1140, 1200, 1290, 1350, 1440, 1530, 1590, 1680, 1770, 1860, 1950, 2040}, // Quartile
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};
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static const uint8_t NUM_ERROR_CORRECTION_BLOCKS[4][40] = {
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// Version: (note that index 0 is for padding, and is set to an illegal value)
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// 1, 2, 3, 4, 5, 6, 7, 8, 9,10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 Error correction level
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{1, 1, 1, 2, 2, 4, 4, 4, 5, 5, 5, 8, 9, 9, 10, 10, 11, 13, 14, 16,
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17, 17, 18, 20, 21, 23, 25, 26, 28, 29, 31, 33, 35, 37, 38, 40, 43, 45, 47, 49}, // Medium
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{1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6, 6, 7, 8,
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8, 9, 9, 10, 12, 12, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 24, 25}, // Low
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{1, 1, 2, 4, 4, 4, 5, 6, 8, 8, 11, 11, 16, 16, 18, 16, 19, 21, 25, 25,
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25, 34, 30, 32, 35, 37, 40, 42, 45, 48, 51, 54, 57, 60, 63, 66, 70, 74, 77, 81}, // High
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{1, 1, 2, 2, 4, 4, 6, 6, 8, 8, 8, 10, 12, 16, 12, 17, 16, 18, 21, 20,
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23, 23, 25, 27, 29, 34, 34, 35, 38, 40, 43, 45, 48, 51, 53, 56, 59, 62, 65, 68}, // Quartile
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};
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static const uint16_t NUM_RAW_DATA_MODULES[40] = {
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// 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17,
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208,
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359,
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567,
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807,
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1079,
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1383,
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1568,
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1936,
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2336,
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2768,
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3232,
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3728,
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4256,
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4651,
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5243,
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5867,
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6523,
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// 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31,
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7211,
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7931,
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8683,
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9252,
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10068,
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10916,
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11796,
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12708,
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13652,
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14628,
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15371,
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16411,
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17483,
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18587,
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// 32, 33, 34, 35, 36, 37, 38, 39, 40
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19723,
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20891,
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22091,
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23008,
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24272,
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25568,
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26896,
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28256,
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29648};
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// @TODO: Put other LOCK_VERSIONS here
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#elif LOCK_VERSION == 3
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static const int16_t NUM_ERROR_CORRECTION_CODEWORDS[4] = {26, 15, 44, 36};
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static const int8_t NUM_ERROR_CORRECTION_BLOCKS[4] = {1, 1, 2, 2};
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static const uint16_t NUM_RAW_DATA_MODULES = 567;
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#else
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#error Unsupported LOCK_VERSION (add it...)
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#endif
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static int max(int a, int b) {
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if(a > b) {
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return a;
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}
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return b;
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}
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/*
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static int abs(int value) {
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if (value < 0) { return -value; }
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return value;
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}
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*/
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#pragma mark - Mode testing and conversion
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static int8_t getAlphanumeric(char c) {
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if(c >= '0' && c <= '9') {
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return (c - '0');
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}
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if(c >= 'A' && c <= 'Z') {
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return (c - 'A' + 10);
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}
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switch(c) {
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case ' ':
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return 36;
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case '$':
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return 37;
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case '%':
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return 38;
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case '*':
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return 39;
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case '+':
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return 40;
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case '-':
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return 41;
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case '.':
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return 42;
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case '/':
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return 43;
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case ':':
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return 44;
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}
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return -1;
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}
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static bool isAlphanumeric(const char* text, uint16_t length) {
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while(length != 0) {
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if(getAlphanumeric(text[--length]) == -1) {
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return false;
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}
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}
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return true;
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}
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static bool isNumeric(const char* text, uint16_t length) {
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while(length != 0) {
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char c = text[--length];
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if(c < '0' || c > '9') {
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return false;
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}
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}
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return true;
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}
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#pragma mark - Counting
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// We store the following tightly packed (less 8) in modeInfo
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// <=9 <=26 <= 40
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// NUMERIC ( 10, 12, 14);
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// ALPHANUMERIC ( 9, 11, 13);
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// BYTE ( 8, 16, 16);
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static char getModeBits(uint8_t version, uint8_t mode) {
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// Note: We use 15 instead of 16; since 15 doesn't exist and we cannot store 16 (8 + 8) in 3 bits
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// hex(int("".join(reversed([('00' + bin(x - 8)[2:])[-3:] for x in [10, 9, 8, 12, 11, 15, 14, 13, 15]])), 2))
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unsigned int modeInfo = 0x7bbb80a;
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#if LOCK_VERSION == 0 || LOCK_VERSION > 9
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if(version > 9) {
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modeInfo >>= 9;
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}
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#endif
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#if LOCK_VERSION == 0 || LOCK_VERSION > 26
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if(version > 26) {
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modeInfo >>= 9;
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}
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#endif
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char result = 8 + ((modeInfo >> (3 * mode)) & 0x07);
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if(result == 15) {
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result = 16;
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}
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return result;
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}
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#pragma mark - BitBucket
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typedef struct BitBucket {
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uint32_t bitOffsetOrWidth;
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uint16_t capacityBytes;
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uint8_t* data;
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} BitBucket;
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/*
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void bb_dump(BitBucket *bitBuffer) {
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printf("Buffer: ");
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for (uint32_t i = 0; i < bitBuffer->capacityBytes; i++) {
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printf("%02x", bitBuffer->data[i]);
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if ((i % 4) == 3) { printf(" "); }
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}
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printf("\n");
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}
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*/
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static uint16_t bb_getGridSizeBytes(uint8_t size) {
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return (((size * size) + 7) / 8);
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}
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static uint16_t bb_getBufferSizeBytes(uint32_t bits) {
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return ((bits + 7) / 8);
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}
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static void bb_initBuffer(BitBucket* bitBuffer, uint8_t* data, int32_t capacityBytes) {
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bitBuffer->bitOffsetOrWidth = 0;
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bitBuffer->capacityBytes = capacityBytes;
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bitBuffer->data = data;
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memset(data, 0, bitBuffer->capacityBytes);
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}
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static void bb_initGrid(BitBucket* bitGrid, uint8_t* data, uint8_t size) {
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bitGrid->bitOffsetOrWidth = size;
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bitGrid->capacityBytes = bb_getGridSizeBytes(size);
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bitGrid->data = data;
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memset(data, 0, bitGrid->capacityBytes);
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}
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static void bb_appendBits(BitBucket* bitBuffer, uint32_t val, uint8_t length) {
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uint32_t offset = bitBuffer->bitOffsetOrWidth;
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for(int8_t i = length - 1; i >= 0; i--, offset++) {
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bitBuffer->data[offset >> 3] |= ((val >> i) & 1) << (7 - (offset & 7));
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}
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bitBuffer->bitOffsetOrWidth = offset;
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}
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/*
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void bb_setBits(BitBucket *bitBuffer, uint32_t val, int offset, uint8_t length) {
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for (int8_t i = length - 1; i >= 0; i--, offset++) {
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bitBuffer->data[offset >> 3] |= ((val >> i) & 1) << (7 - (offset & 7));
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}
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}
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*/
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static void bb_setBit(BitBucket* bitGrid, uint8_t x, uint8_t y, bool on) {
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uint32_t offset = y * bitGrid->bitOffsetOrWidth + x;
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uint8_t mask = 1 << (7 - (offset & 0x07));
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if(on) {
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bitGrid->data[offset >> 3] |= mask;
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} else {
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bitGrid->data[offset >> 3] &= ~mask;
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}
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}
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static void bb_invertBit(BitBucket* bitGrid, uint8_t x, uint8_t y, bool invert) {
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uint32_t offset = y * bitGrid->bitOffsetOrWidth + x;
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uint8_t mask = 1 << (7 - (offset & 0x07));
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bool on = ((bitGrid->data[offset >> 3] & (1 << (7 - (offset & 0x07)))) != 0);
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if(on ^ invert) {
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bitGrid->data[offset >> 3] |= mask;
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} else {
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bitGrid->data[offset >> 3] &= ~mask;
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}
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}
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static bool bb_getBit(BitBucket* bitGrid, uint8_t x, uint8_t y) {
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uint32_t offset = y * bitGrid->bitOffsetOrWidth + x;
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return (bitGrid->data[offset >> 3] & (1 << (7 - (offset & 0x07)))) != 0;
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}
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#pragma mark - Drawing Patterns
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// XORs the data modules in this QR Code with the given mask pattern. Due to XOR's mathematical
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// properties, calling applyMask(m) twice with the same value is equivalent to no change at all.
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// This means it is possible to apply a mask, undo it, and try another mask. Note that a final
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// well-formed QR Code symbol needs exactly one mask applied (not zero, not two, etc.).
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static void applyMask(BitBucket* modules, BitBucket* isFunction, uint8_t mask) {
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uint8_t size = modules->bitOffsetOrWidth;
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for(uint8_t y = 0; y < size; y++) {
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for(uint8_t x = 0; x < size; x++) {
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if(bb_getBit(isFunction, x, y)) {
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continue;
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}
|
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bool invert = 0;
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switch(mask) {
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case 0:
|
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invert = (x + y) % 2 == 0;
|
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break;
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case 1:
|
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invert = y % 2 == 0;
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break;
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case 2:
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invert = x % 3 == 0;
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break;
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case 3:
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||
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invert = (x + y) % 3 == 0;
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break;
|
||
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case 4:
|
||
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invert = (x / 3 + y / 2) % 2 == 0;
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break;
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case 5:
|
||
|
|
invert = x * y % 2 + x * y % 3 == 0;
|
||
|
|
break;
|
||
|
|
case 6:
|
||
|
|
invert = (x * y % 2 + x * y % 3) % 2 == 0;
|
||
|
|
break;
|
||
|
|
case 7:
|
||
|
|
invert = ((x + y) % 2 + x * y % 3) % 2 == 0;
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
bb_invertBit(modules, x, y, invert);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
static void
|
||
|
|
setFunctionModule(BitBucket* modules, BitBucket* isFunction, uint8_t x, uint8_t y, bool on) {
|
||
|
|
bb_setBit(modules, x, y, on);
|
||
|
|
bb_setBit(isFunction, x, y, true);
|
||
|
|
}
|
||
|
|
|
||
|
|
// Draws a 9*9 finder pattern including the border separator, with the center module at (x, y).
|
||
|
|
static void drawFinderPattern(BitBucket* modules, BitBucket* isFunction, uint8_t x, uint8_t y) {
|
||
|
|
uint8_t size = modules->bitOffsetOrWidth;
|
||
|
|
|
||
|
|
for(int8_t i = -4; i <= 4; i++) {
|
||
|
|
for(int8_t j = -4; j <= 4; j++) {
|
||
|
|
uint8_t dist = max(abs(i), abs(j)); // Chebyshev/infinity norm
|
||
|
|
int16_t xx = x + j, yy = y + i;
|
||
|
|
if(0 <= xx && xx < size && 0 <= yy && yy < size) {
|
||
|
|
setFunctionModule(modules, isFunction, xx, yy, dist != 2 && dist != 4);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
// Draws a 5*5 alignment pattern, with the center module at (x, y).
|
||
|
|
static void drawAlignmentPattern(BitBucket* modules, BitBucket* isFunction, uint8_t x, uint8_t y) {
|
||
|
|
for(int8_t i = -2; i <= 2; i++) {
|
||
|
|
for(int8_t j = -2; j <= 2; j++) {
|
||
|
|
setFunctionModule(modules, isFunction, x + j, y + i, max(abs(i), abs(j)) != 1);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
// Draws two copies of the format bits (with its own error correction code)
|
||
|
|
// based on the given mask and this object's error correction level field.
|
||
|
|
static void drawFormatBits(BitBucket* modules, BitBucket* isFunction, uint8_t ecc, uint8_t mask) {
|
||
|
|
uint8_t size = modules->bitOffsetOrWidth;
|
||
|
|
|
||
|
|
// Calculate error correction code and pack bits
|
||
|
|
uint32_t data = ecc << 3 | mask; // errCorrLvl is uint2, mask is uint3
|
||
|
|
uint32_t rem = data;
|
||
|
|
for(int i = 0; i < 10; i++) {
|
||
|
|
rem = (rem << 1) ^ ((rem >> 9) * 0x537);
|
||
|
|
}
|
||
|
|
|
||
|
|
data = data << 10 | rem;
|
||
|
|
data ^= 0x5412; // uint15
|
||
|
|
|
||
|
|
// Draw first copy
|
||
|
|
for(uint8_t i = 0; i <= 5; i++) {
|
||
|
|
setFunctionModule(modules, isFunction, 8, i, ((data >> i) & 1) != 0);
|
||
|
|
}
|
||
|
|
|
||
|
|
setFunctionModule(modules, isFunction, 8, 7, ((data >> 6) & 1) != 0);
|
||
|
|
setFunctionModule(modules, isFunction, 8, 8, ((data >> 7) & 1) != 0);
|
||
|
|
setFunctionModule(modules, isFunction, 7, 8, ((data >> 8) & 1) != 0);
|
||
|
|
|
||
|
|
for(int8_t i = 9; i < 15; i++) {
|
||
|
|
setFunctionModule(modules, isFunction, 14 - i, 8, ((data >> i) & 1) != 0);
|
||
|
|
}
|
||
|
|
|
||
|
|
// Draw second copy
|
||
|
|
for(int8_t i = 0; i <= 7; i++) {
|
||
|
|
setFunctionModule(modules, isFunction, size - 1 - i, 8, ((data >> i) & 1) != 0);
|
||
|
|
}
|
||
|
|
|
||
|
|
for(int8_t i = 8; i < 15; i++) {
|
||
|
|
setFunctionModule(modules, isFunction, 8, size - 15 + i, ((data >> i) & 1) != 0);
|
||
|
|
}
|
||
|
|
|
||
|
|
setFunctionModule(modules, isFunction, 8, size - 8, true);
|
||
|
|
}
|
||
|
|
|
||
|
|
// Draws two copies of the version bits (with its own error correction code),
|
||
|
|
// based on this object's version field (which only has an effect for 7 <= version <= 40).
|
||
|
|
static void drawVersion(BitBucket* modules, BitBucket* isFunction, uint8_t version) {
|
||
|
|
int8_t size = modules->bitOffsetOrWidth;
|
||
|
|
|
||
|
|
#if LOCK_VERSION != 0 && LOCK_VERSION < 7
|
||
|
|
return;
|
||
|
|
|
||
|
|
#else
|
||
|
|
if(version < 7) {
|
||
|
|
return;
|
||
|
|
}
|
||
|
|
|
||
|
|
// Calculate error correction code and pack bits
|
||
|
|
uint32_t rem = version; // version is uint6, in the range [7, 40]
|
||
|
|
for(uint8_t i = 0; i < 12; i++) {
|
||
|
|
rem = (rem << 1) ^ ((rem >> 11) * 0x1F25);
|
||
|
|
}
|
||
|
|
|
||
|
|
uint32_t data = version << 12 | rem; // uint18
|
||
|
|
|
||
|
|
// Draw two copies
|
||
|
|
for(uint8_t i = 0; i < 18; i++) {
|
||
|
|
bool bit = ((data >> i) & 1) != 0;
|
||
|
|
uint8_t a = size - 11 + i % 3, b = i / 3;
|
||
|
|
setFunctionModule(modules, isFunction, a, b, bit);
|
||
|
|
setFunctionModule(modules, isFunction, b, a, bit);
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif
|
||
|
|
}
|
||
|
|
|
||
|
|
static void
|
||
|
|
drawFunctionPatterns(BitBucket* modules, BitBucket* isFunction, uint8_t version, uint8_t ecc) {
|
||
|
|
uint8_t size = modules->bitOffsetOrWidth;
|
||
|
|
|
||
|
|
// Draw the horizontal and vertical timing patterns
|
||
|
|
for(uint8_t i = 0; i < size; i++) {
|
||
|
|
setFunctionModule(modules, isFunction, 6, i, i % 2 == 0);
|
||
|
|
setFunctionModule(modules, isFunction, i, 6, i % 2 == 0);
|
||
|
|
}
|
||
|
|
|
||
|
|
// Draw 3 finder patterns (all corners except bottom right; overwrites some timing modules)
|
||
|
|
drawFinderPattern(modules, isFunction, 3, 3);
|
||
|
|
drawFinderPattern(modules, isFunction, size - 4, 3);
|
||
|
|
drawFinderPattern(modules, isFunction, 3, size - 4);
|
||
|
|
|
||
|
|
#if LOCK_VERSION == 0 || LOCK_VERSION > 1
|
||
|
|
|
||
|
|
if(version > 1) {
|
||
|
|
// Draw the numerous alignment patterns
|
||
|
|
|
||
|
|
uint8_t alignCount = version / 7 + 2;
|
||
|
|
uint8_t step;
|
||
|
|
if(version != 32) {
|
||
|
|
step = (version * 4 + alignCount * 2 + 1) / (2 * alignCount - 2) *
|
||
|
|
2; // ceil((size - 13) / (2*numAlign - 2)) * 2
|
||
|
|
} else { // C-C-C-Combo breaker!
|
||
|
|
step = 26;
|
||
|
|
}
|
||
|
|
|
||
|
|
uint8_t alignPositionIndex = alignCount - 1;
|
||
|
|
uint8_t alignPosition[alignCount];
|
||
|
|
|
||
|
|
alignPosition[0] = 6;
|
||
|
|
|
||
|
|
uint8_t size = version * 4 + 17;
|
||
|
|
for(uint8_t i = 0, pos = size - 7; i < alignCount - 1; i++, pos -= step) {
|
||
|
|
alignPosition[alignPositionIndex--] = pos;
|
||
|
|
}
|
||
|
|
|
||
|
|
for(uint8_t i = 0; i < alignCount; i++) {
|
||
|
|
for(uint8_t j = 0; j < alignCount; j++) {
|
||
|
|
if((i == 0 && j == 0) || (i == 0 && j == alignCount - 1) ||
|
||
|
|
(i == alignCount - 1 && j == 0)) {
|
||
|
|
continue; // Skip the three finder corners
|
||
|
|
} else {
|
||
|
|
drawAlignmentPattern(modules, isFunction, alignPosition[i], alignPosition[j]);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif
|
||
|
|
|
||
|
|
// Draw configuration data
|
||
|
|
drawFormatBits(
|
||
|
|
modules, isFunction, ecc, 0); // Dummy mask value; overwritten later in the constructor
|
||
|
|
drawVersion(modules, isFunction, version);
|
||
|
|
}
|
||
|
|
|
||
|
|
// Draws the given sequence of 8-bit codewords (data and error correction) onto the entire
|
||
|
|
// data area of this QR Code symbol. Function modules need to be marked off before this is called.
|
||
|
|
static void drawCodewords(BitBucket* modules, BitBucket* isFunction, BitBucket* codewords) {
|
||
|
|
uint32_t bitLength = codewords->bitOffsetOrWidth;
|
||
|
|
uint8_t* data = codewords->data;
|
||
|
|
|
||
|
|
uint8_t size = modules->bitOffsetOrWidth;
|
||
|
|
|
||
|
|
// Bit index into the data
|
||
|
|
uint32_t i = 0;
|
||
|
|
|
||
|
|
// Do the funny zigzag scan
|
||
|
|
for(int16_t right = size - 1; right >= 1;
|
||
|
|
right -= 2) { // Index of right column in each column pair
|
||
|
|
if(right == 6) {
|
||
|
|
right = 5;
|
||
|
|
}
|
||
|
|
|
||
|
|
for(uint8_t vert = 0; vert < size; vert++) { // Vertical counter
|
||
|
|
for(int j = 0; j < 2; j++) {
|
||
|
|
uint8_t x = right - j; // Actual x coordinate
|
||
|
|
bool upwards = ((right & 2) == 0) ^ (x < 6);
|
||
|
|
uint8_t y = upwards ? size - 1 - vert : vert; // Actual y coordinate
|
||
|
|
if(!bb_getBit(isFunction, x, y) && i < bitLength) {
|
||
|
|
bb_setBit(modules, x, y, ((data[i >> 3] >> (7 - (i & 7))) & 1) != 0);
|
||
|
|
i++;
|
||
|
|
}
|
||
|
|
// If there are any remainder bits (0 to 7), they are already
|
||
|
|
// set to 0/false/white when the grid of modules was initialized
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
#pragma mark - Penalty Calculation
|
||
|
|
|
||
|
|
#define PENALTY_N1 3
|
||
|
|
#define PENALTY_N2 3
|
||
|
|
#define PENALTY_N3 40
|
||
|
|
#define PENALTY_N4 10
|
||
|
|
|
||
|
|
// Calculates and returns the penalty score based on state of this QR Code's current modules.
|
||
|
|
// This is used by the automatic mask choice algorithm to find the mask pattern that yields the lowest score.
|
||
|
|
// @TODO: This can be optimized by working with the bytes instead of bits.
|
||
|
|
static uint32_t getPenaltyScore(BitBucket* modules) {
|
||
|
|
uint32_t result = 0;
|
||
|
|
|
||
|
|
uint8_t size = modules->bitOffsetOrWidth;
|
||
|
|
|
||
|
|
// Adjacent modules in row having same color
|
||
|
|
for(uint8_t y = 0; y < size; y++) {
|
||
|
|
bool colorX = bb_getBit(modules, 0, y);
|
||
|
|
for(uint8_t x = 1, runX = 1; x < size; x++) {
|
||
|
|
bool cx = bb_getBit(modules, x, y);
|
||
|
|
if(cx != colorX) {
|
||
|
|
colorX = cx;
|
||
|
|
runX = 1;
|
||
|
|
|
||
|
|
} else {
|
||
|
|
runX++;
|
||
|
|
if(runX == 5) {
|
||
|
|
result += PENALTY_N1;
|
||
|
|
} else if(runX > 5) {
|
||
|
|
result++;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
// Adjacent modules in column having same color
|
||
|
|
for(uint8_t x = 0; x < size; x++) {
|
||
|
|
bool colorY = bb_getBit(modules, x, 0);
|
||
|
|
for(uint8_t y = 1, runY = 1; y < size; y++) {
|
||
|
|
bool cy = bb_getBit(modules, x, y);
|
||
|
|
if(cy != colorY) {
|
||
|
|
colorY = cy;
|
||
|
|
runY = 1;
|
||
|
|
} else {
|
||
|
|
runY++;
|
||
|
|
if(runY == 5) {
|
||
|
|
result += PENALTY_N1;
|
||
|
|
} else if(runY > 5) {
|
||
|
|
result++;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
uint16_t black = 0;
|
||
|
|
for(uint8_t y = 0; y < size; y++) {
|
||
|
|
uint16_t bitsRow = 0, bitsCol = 0;
|
||
|
|
for(uint8_t x = 0; x < size; x++) {
|
||
|
|
bool color = bb_getBit(modules, x, y);
|
||
|
|
|
||
|
|
// 2*2 blocks of modules having same color
|
||
|
|
if(x > 0 && y > 0) {
|
||
|
|
bool colorUL = bb_getBit(modules, x - 1, y - 1);
|
||
|
|
bool colorUR = bb_getBit(modules, x, y - 1);
|
||
|
|
bool colorL = bb_getBit(modules, x - 1, y);
|
||
|
|
if(color == colorUL && color == colorUR && color == colorL) {
|
||
|
|
result += PENALTY_N2;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
// Finder-like pattern in rows and columns
|
||
|
|
bitsRow = ((bitsRow << 1) & 0x7FF) | color;
|
||
|
|
bitsCol = ((bitsCol << 1) & 0x7FF) | bb_getBit(modules, y, x);
|
||
|
|
|
||
|
|
// Needs 11 bits accumulated
|
||
|
|
if(x >= 10) {
|
||
|
|
if(bitsRow == 0x05D || bitsRow == 0x5D0) {
|
||
|
|
result += PENALTY_N3;
|
||
|
|
}
|
||
|
|
if(bitsCol == 0x05D || bitsCol == 0x5D0) {
|
||
|
|
result += PENALTY_N3;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
// Balance of black and white modules
|
||
|
|
if(color) {
|
||
|
|
black++;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
// Find smallest k such that (45-5k)% <= dark/total <= (55+5k)%
|
||
|
|
uint16_t total = size * size;
|
||
|
|
for(uint16_t k = 0; black * 20 < (9 - k) * total || black * 20 > (11 + k) * total; k++) {
|
||
|
|
result += PENALTY_N4;
|
||
|
|
}
|
||
|
|
|
||
|
|
return result;
|
||
|
|
}
|
||
|
|
|
||
|
|
#pragma mark - Reed-Solomon Generator
|
||
|
|
|
||
|
|
static uint8_t rs_multiply(uint8_t x, uint8_t y) {
|
||
|
|
// Russian peasant multiplication
|
||
|
|
// See: https://en.wikipedia.org/wiki/Ancient_Egyptian_multiplication
|
||
|
|
uint16_t z = 0;
|
||
|
|
for(int8_t i = 7; i >= 0; i--) {
|
||
|
|
z = (z << 1) ^ ((z >> 7) * 0x11D);
|
||
|
|
z ^= ((y >> i) & 1) * x;
|
||
|
|
}
|
||
|
|
return z;
|
||
|
|
}
|
||
|
|
|
||
|
|
static void rs_init(uint8_t degree, uint8_t* coeff) {
|
||
|
|
memset(coeff, 0, degree);
|
||
|
|
coeff[degree - 1] = 1;
|
||
|
|
|
||
|
|
// Compute the product polynomial (x - r^0) * (x - r^1) * (x - r^2) * ... * (x - r^{degree-1}),
|
||
|
|
// drop the highest term, and store the rest of the coefficients in order of descending powers.
|
||
|
|
// Note that r = 0x02, which is a generator element of this field GF(2^8/0x11D).
|
||
|
|
uint16_t root = 1;
|
||
|
|
for(uint8_t i = 0; i < degree; i++) {
|
||
|
|
// Multiply the current product by (x - r^i)
|
||
|
|
for(uint8_t j = 0; j < degree; j++) {
|
||
|
|
coeff[j] = rs_multiply(coeff[j], root);
|
||
|
|
if(j + 1 < degree) {
|
||
|
|
coeff[j] ^= coeff[j + 1];
|
||
|
|
}
|
||
|
|
}
|
||
|
|
root = (root << 1) ^ ((root >> 7) * 0x11D); // Multiply by 0x02 mod GF(2^8/0x11D)
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
static void rs_getRemainder(
|
||
|
|
uint8_t degree,
|
||
|
|
uint8_t* coeff,
|
||
|
|
uint8_t* data,
|
||
|
|
uint8_t length,
|
||
|
|
uint8_t* result,
|
||
|
|
uint8_t stride) {
|
||
|
|
// Compute the remainder by performing polynomial division
|
||
|
|
|
||
|
|
//for (uint8_t i = 0; i < degree; i++) { result[] = 0; }
|
||
|
|
//memset(result, 0, degree);
|
||
|
|
|
||
|
|
for(uint8_t i = 0; i < length; i++) {
|
||
|
|
uint8_t factor = data[i] ^ result[0];
|
||
|
|
for(uint8_t j = 1; j < degree; j++) {
|
||
|
|
result[(j - 1) * stride] = result[j * stride];
|
||
|
|
}
|
||
|
|
result[(degree - 1) * stride] = 0;
|
||
|
|
|
||
|
|
for(uint8_t j = 0; j < degree; j++) {
|
||
|
|
result[j * stride] ^= rs_multiply(coeff[j], factor);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
#pragma mark - QrCode
|
||
|
|
|
||
|
|
static int8_t encodeDataCodewords(
|
||
|
|
BitBucket* dataCodewords,
|
||
|
|
const uint8_t* text,
|
||
|
|
uint16_t length,
|
||
|
|
uint8_t version) {
|
||
|
|
int8_t mode = MODE_BYTE;
|
||
|
|
|
||
|
|
if(isNumeric((char*)text, length)) {
|
||
|
|
mode = MODE_NUMERIC;
|
||
|
|
bb_appendBits(dataCodewords, 1 << MODE_NUMERIC, 4);
|
||
|
|
bb_appendBits(dataCodewords, length, getModeBits(version, MODE_NUMERIC));
|
||
|
|
|
||
|
|
uint16_t accumData = 0;
|
||
|
|
uint8_t accumCount = 0;
|
||
|
|
for(uint16_t i = 0; i < length; i++) {
|
||
|
|
accumData = accumData * 10 + ((char)(text[i]) - '0');
|
||
|
|
accumCount++;
|
||
|
|
if(accumCount == 3) {
|
||
|
|
bb_appendBits(dataCodewords, accumData, 10);
|
||
|
|
accumData = 0;
|
||
|
|
accumCount = 0;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
// 1 or 2 digits remaining
|
||
|
|
if(accumCount > 0) {
|
||
|
|
bb_appendBits(dataCodewords, accumData, accumCount * 3 + 1);
|
||
|
|
}
|
||
|
|
|
||
|
|
} else if(isAlphanumeric((char*)text, length)) {
|
||
|
|
mode = MODE_ALPHANUMERIC;
|
||
|
|
bb_appendBits(dataCodewords, 1 << MODE_ALPHANUMERIC, 4);
|
||
|
|
bb_appendBits(dataCodewords, length, getModeBits(version, MODE_ALPHANUMERIC));
|
||
|
|
|
||
|
|
uint16_t accumData = 0;
|
||
|
|
uint8_t accumCount = 0;
|
||
|
|
for(uint16_t i = 0; i < length; i++) {
|
||
|
|
accumData = accumData * 45 + getAlphanumeric((char)(text[i]));
|
||
|
|
accumCount++;
|
||
|
|
if(accumCount == 2) {
|
||
|
|
bb_appendBits(dataCodewords, accumData, 11);
|
||
|
|
accumData = 0;
|
||
|
|
accumCount = 0;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
// 1 character remaining
|
||
|
|
if(accumCount > 0) {
|
||
|
|
bb_appendBits(dataCodewords, accumData, 6);
|
||
|
|
}
|
||
|
|
|
||
|
|
} else {
|
||
|
|
bb_appendBits(dataCodewords, 1 << MODE_BYTE, 4);
|
||
|
|
bb_appendBits(dataCodewords, length, getModeBits(version, MODE_BYTE));
|
||
|
|
for(uint16_t i = 0; i < length; i++) {
|
||
|
|
bb_appendBits(dataCodewords, (char)(text[i]), 8);
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
//bb_setBits(dataCodewords, length, 4, getModeBits(version, mode));
|
||
|
|
|
||
|
|
return mode;
|
||
|
|
}
|
||
|
|
|
||
|
|
static void performErrorCorrection(uint8_t version, uint8_t ecc, BitBucket* data) {
|
||
|
|
// See: http://www.thonky.com/qr-code-tutorial/structure-final-message
|
||
|
|
|
||
|
|
#if LOCK_VERSION == 0
|
||
|
|
uint8_t numBlocks = NUM_ERROR_CORRECTION_BLOCKS[ecc][version - 1];
|
||
|
|
uint16_t totalEcc = NUM_ERROR_CORRECTION_CODEWORDS[ecc][version - 1];
|
||
|
|
uint16_t moduleCount = NUM_RAW_DATA_MODULES[version - 1];
|
||
|
|
#else
|
||
|
|
uint8_t numBlocks = NUM_ERROR_CORRECTION_BLOCKS[ecc];
|
||
|
|
uint16_t totalEcc = NUM_ERROR_CORRECTION_CODEWORDS[ecc];
|
||
|
|
uint16_t moduleCount = NUM_RAW_DATA_MODULES;
|
||
|
|
#endif
|
||
|
|
|
||
|
|
uint8_t blockEccLen = totalEcc / numBlocks;
|
||
|
|
uint8_t numShortBlocks = numBlocks - moduleCount / 8 % numBlocks;
|
||
|
|
uint8_t shortBlockLen = moduleCount / 8 / numBlocks;
|
||
|
|
|
||
|
|
uint8_t shortDataBlockLen = shortBlockLen - blockEccLen;
|
||
|
|
|
||
|
|
uint8_t result[data->capacityBytes];
|
||
|
|
memset(result, 0, sizeof(result));
|
||
|
|
|
||
|
|
uint8_t coeff[blockEccLen];
|
||
|
|
rs_init(blockEccLen, coeff);
|
||
|
|
|
||
|
|
uint16_t offset = 0;
|
||
|
|
uint8_t* dataBytes = data->data;
|
||
|
|
|
||
|
|
// Interleave all short blocks
|
||
|
|
for(uint8_t i = 0; i < shortDataBlockLen; i++) {
|
||
|
|
uint16_t index = i;
|
||
|
|
uint8_t stride = shortDataBlockLen;
|
||
|
|
for(uint8_t blockNum = 0; blockNum < numBlocks; blockNum++) {
|
||
|
|
result[offset++] = dataBytes[index];
|
||
|
|
|
||
|
|
#if LOCK_VERSION == 0 || LOCK_VERSION >= 5
|
||
|
|
if(blockNum == numShortBlocks) {
|
||
|
|
stride++;
|
||
|
|
}
|
||
|
|
#endif
|
||
|
|
index += stride;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
// Version less than 5 only have short blocks
|
||
|
|
#if LOCK_VERSION == 0 || LOCK_VERSION >= 5
|
||
|
|
{
|
||
|
|
// Interleave long blocks
|
||
|
|
uint16_t index = shortDataBlockLen * (numShortBlocks + 1);
|
||
|
|
uint8_t stride = shortDataBlockLen;
|
||
|
|
for(uint8_t blockNum = 0; blockNum < numBlocks - numShortBlocks; blockNum++) {
|
||
|
|
result[offset++] = dataBytes[index];
|
||
|
|
|
||
|
|
if(blockNum == 0) {
|
||
|
|
stride++;
|
||
|
|
}
|
||
|
|
index += stride;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
#endif
|
||
|
|
|
||
|
|
// Add all ecc blocks, interleaved
|
||
|
|
uint8_t blockSize = shortDataBlockLen;
|
||
|
|
for(uint8_t blockNum = 0; blockNum < numBlocks; blockNum++) {
|
||
|
|
#if LOCK_VERSION == 0 || LOCK_VERSION >= 5
|
||
|
|
if(blockNum == numShortBlocks) {
|
||
|
|
blockSize++;
|
||
|
|
}
|
||
|
|
#endif
|
||
|
|
rs_getRemainder(
|
||
|
|
blockEccLen, coeff, dataBytes, blockSize, &result[offset + blockNum], numBlocks);
|
||
|
|
dataBytes += blockSize;
|
||
|
|
}
|
||
|
|
|
||
|
|
memcpy(data->data, result, data->capacityBytes);
|
||
|
|
data->bitOffsetOrWidth = moduleCount;
|
||
|
|
}
|
||
|
|
|
||
|
|
// We store the Format bits tightly packed into a single byte (each of the 4 modes is 2 bits)
|
||
|
|
// The format bits can be determined by ECC_FORMAT_BITS >> (2 * ecc)
|
||
|
|
static const uint8_t ECC_FORMAT_BITS = (0x02 << 6) | (0x03 << 4) | (0x00 << 2) | (0x01 << 0);
|
||
|
|
|
||
|
|
#pragma mark - Public QRCode functions
|
||
|
|
|
||
|
|
uint16_t qrcode_getBufferSize(uint8_t version) {
|
||
|
|
return bb_getGridSizeBytes(4 * version + 17);
|
||
|
|
}
|
||
|
|
|
||
|
|
// @TODO: Return error if data is too big.
|
||
|
|
int8_t qrcode_initBytes(
|
||
|
|
QRCode* qrcode,
|
||
|
|
uint8_t* modules,
|
||
|
|
uint8_t version,
|
||
|
|
uint8_t ecc,
|
||
|
|
uint8_t* data,
|
||
|
|
uint16_t length) {
|
||
|
|
uint8_t size = version * 4 + 17;
|
||
|
|
qrcode->version = version;
|
||
|
|
qrcode->size = size;
|
||
|
|
qrcode->ecc = ecc;
|
||
|
|
qrcode->modules = modules;
|
||
|
|
|
||
|
|
uint8_t eccFormatBits = (ECC_FORMAT_BITS >> (2 * ecc)) & 0x03;
|
||
|
|
|
||
|
|
#if LOCK_VERSION == 0
|
||
|
|
uint16_t moduleCount = NUM_RAW_DATA_MODULES[version - 1];
|
||
|
|
uint16_t dataCapacity =
|
||
|
|
moduleCount / 8 - NUM_ERROR_CORRECTION_CODEWORDS[eccFormatBits][version - 1];
|
||
|
|
#else
|
||
|
|
version = LOCK_VERSION;
|
||
|
|
uint16_t moduleCount = NUM_RAW_DATA_MODULES;
|
||
|
|
uint16_t dataCapacity = moduleCount / 8 - NUM_ERROR_CORRECTION_CODEWORDS[eccFormatBits];
|
||
|
|
#endif
|
||
|
|
|
||
|
|
struct BitBucket codewords;
|
||
|
|
uint8_t codewordBytes[bb_getBufferSizeBytes(moduleCount)];
|
||
|
|
bb_initBuffer(&codewords, codewordBytes, (int32_t)sizeof(codewordBytes));
|
||
|
|
|
||
|
|
// Place the data code words into the buffer
|
||
|
|
int8_t mode = encodeDataCodewords(&codewords, data, length, version);
|
||
|
|
|
||
|
|
if(mode < 0) {
|
||
|
|
return -1;
|
||
|
|
}
|
||
|
|
qrcode->mode = mode;
|
||
|
|
|
||
|
|
// Add terminator and pad up to a byte if applicable
|
||
|
|
uint32_t padding = (dataCapacity * 8) - codewords.bitOffsetOrWidth;
|
||
|
|
if(padding > 4) {
|
||
|
|
padding = 4;
|
||
|
|
}
|
||
|
|
bb_appendBits(&codewords, 0, padding);
|
||
|
|
bb_appendBits(&codewords, 0, (8 - codewords.bitOffsetOrWidth % 8) % 8);
|
||
|
|
|
||
|
|
// Pad with alternate bytes until data capacity is reached
|
||
|
|
for(uint8_t padByte = 0xEC; codewords.bitOffsetOrWidth < (dataCapacity * 8);
|
||
|
|
padByte ^= 0xEC ^ 0x11) {
|
||
|
|
bb_appendBits(&codewords, padByte, 8);
|
||
|
|
}
|
||
|
|
|
||
|
|
BitBucket modulesGrid;
|
||
|
|
bb_initGrid(&modulesGrid, modules, size);
|
||
|
|
|
||
|
|
BitBucket isFunctionGrid;
|
||
|
|
uint8_t isFunctionGridBytes[bb_getGridSizeBytes(size)];
|
||
|
|
bb_initGrid(&isFunctionGrid, isFunctionGridBytes, size);
|
||
|
|
|
||
|
|
// Draw function patterns, draw all codewords, do masking
|
||
|
|
drawFunctionPatterns(&modulesGrid, &isFunctionGrid, version, eccFormatBits);
|
||
|
|
performErrorCorrection(version, eccFormatBits, &codewords);
|
||
|
|
drawCodewords(&modulesGrid, &isFunctionGrid, &codewords);
|
||
|
|
|
||
|
|
// Find the best (lowest penalty) mask
|
||
|
|
uint8_t mask = 0;
|
||
|
|
int32_t minPenalty = INT32_MAX;
|
||
|
|
for(uint8_t i = 0; i < 8; i++) {
|
||
|
|
drawFormatBits(&modulesGrid, &isFunctionGrid, eccFormatBits, i);
|
||
|
|
applyMask(&modulesGrid, &isFunctionGrid, i);
|
||
|
|
int penalty = getPenaltyScore(&modulesGrid);
|
||
|
|
if(penalty < minPenalty) {
|
||
|
|
mask = i;
|
||
|
|
minPenalty = penalty;
|
||
|
|
}
|
||
|
|
applyMask(&modulesGrid, &isFunctionGrid, i); // Undoes the mask due to XOR
|
||
|
|
}
|
||
|
|
|
||
|
|
qrcode->mask = mask;
|
||
|
|
|
||
|
|
// Overwrite old format bits
|
||
|
|
drawFormatBits(&modulesGrid, &isFunctionGrid, eccFormatBits, mask);
|
||
|
|
|
||
|
|
// Apply the final choice of mask
|
||
|
|
applyMask(&modulesGrid, &isFunctionGrid, mask);
|
||
|
|
|
||
|
|
return 0;
|
||
|
|
}
|
||
|
|
|
||
|
|
int8_t
|
||
|
|
qrcode_initText(QRCode* qrcode, uint8_t* modules, uint8_t version, uint8_t ecc, const char* data) {
|
||
|
|
return qrcode_initBytes(qrcode, modules, version, ecc, (uint8_t*)data, strlen(data));
|
||
|
|
}
|
||
|
|
|
||
|
|
bool qrcode_getModule(QRCode* qrcode, uint8_t x, uint8_t y) {
|
||
|
|
if(x < 0 || x >= qrcode->size || y < 0 || y >= qrcode->size) {
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
|
||
|
|
uint32_t offset = y * qrcode->size + x;
|
||
|
|
return (qrcode->modules[offset >> 3] & (1 << (7 - (offset & 0x07)))) != 0;
|
||
|
|
}
|