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862 lines
28 KiB
862 lines
28 KiB
/*
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* QR Code generator library (C++)
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*
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* Copyright (c) Project Nayuki. (MIT License)
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* 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 of
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* this software and associated documentation files (the "Software"), to deal in
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* the Software without restriction, including without limitation the rights to
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* use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of
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* the Software, and to permit persons to whom the Software is furnished to do so,
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* subject to the following conditions:
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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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* - 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 the
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* Software.
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*/
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#include <algorithm>
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#include <climits>
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#include <cstddef>
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#include <cstdlib>
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#include <cstring>
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#include <sstream>
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#include <stdexcept>
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#include <utility>
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#include "QrCode.hpp"
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using std::int8_t;
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using std::uint8_t;
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using std::size_t;
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using std::vector;
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namespace qrcodegen {
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QrSegment::Mode::Mode(int mode, int cc0, int cc1, int cc2) :
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modeBits(mode) {
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numBitsCharCount[0] = cc0;
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numBitsCharCount[1] = cc1;
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numBitsCharCount[2] = cc2;
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}
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int QrSegment::Mode::getModeBits() const {
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return modeBits;
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}
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int QrSegment::Mode::numCharCountBits(int ver) const {
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return numBitsCharCount[(ver + 7) / 17];
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}
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const QrSegment::Mode QrSegment::Mode::NUMERIC (0x1, 10, 12, 14);
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const QrSegment::Mode QrSegment::Mode::ALPHANUMERIC(0x2, 9, 11, 13);
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const QrSegment::Mode QrSegment::Mode::BYTE (0x4, 8, 16, 16);
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const QrSegment::Mode QrSegment::Mode::KANJI (0x8, 8, 10, 12);
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const QrSegment::Mode QrSegment::Mode::ECI (0x7, 0, 0, 0);
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QrSegment QrSegment::makeBytes(const vector<uint8_t> &data) {
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if (data.size() > static_cast<unsigned int>(INT_MAX))
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throw std::length_error("Data too long");
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BitBuffer bb;
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for (uint8_t b : data)
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bb.appendBits(b, 8);
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return QrSegment(Mode::BYTE, static_cast<int>(data.size()), std::move(bb));
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}
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QrSegment QrSegment::makeNumeric(const char *digits) {
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BitBuffer bb;
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int accumData = 0;
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int accumCount = 0;
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int charCount = 0;
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for (; *digits != '\0'; digits++, charCount++) {
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char c = *digits;
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if (c < '0' || c > '9')
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throw std::domain_error("String contains non-numeric characters");
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accumData = accumData * 10 + (c - '0');
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accumCount++;
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if (accumCount == 3) {
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bb.appendBits(static_cast<uint32_t>(accumData), 10);
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accumData = 0;
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accumCount = 0;
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}
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}
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if (accumCount > 0) // 1 or 2 digits remaining
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bb.appendBits(static_cast<uint32_t>(accumData), accumCount * 3 + 1);
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return QrSegment(Mode::NUMERIC, charCount, std::move(bb));
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}
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QrSegment QrSegment::makeAlphanumeric(const char *text) {
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BitBuffer bb;
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int accumData = 0;
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int accumCount = 0;
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int charCount = 0;
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for (; *text != '\0'; text++, charCount++) {
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const char *temp = std::strchr(ALPHANUMERIC_CHARSET, *text);
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if (temp == nullptr)
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throw std::domain_error("String contains unencodable characters in alphanumeric mode");
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accumData = accumData * 45 + static_cast<int>(temp - ALPHANUMERIC_CHARSET);
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accumCount++;
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if (accumCount == 2) {
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bb.appendBits(static_cast<uint32_t>(accumData), 11);
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accumData = 0;
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accumCount = 0;
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}
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}
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if (accumCount > 0) // 1 character remaining
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bb.appendBits(static_cast<uint32_t>(accumData), 6);
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return QrSegment(Mode::ALPHANUMERIC, charCount, std::move(bb));
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}
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vector<QrSegment> QrSegment::makeSegments(const char *text) {
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// Select the most efficient segment encoding automatically
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vector<QrSegment> result;
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if (*text == '\0'); // Leave result empty
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else if (isNumeric(text))
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result.push_back(makeNumeric(text));
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else if (isAlphanumeric(text))
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result.push_back(makeAlphanumeric(text));
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else {
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vector<uint8_t> bytes;
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for (; *text != '\0'; text++)
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bytes.push_back(static_cast<uint8_t>(*text));
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result.push_back(makeBytes(bytes));
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}
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return result;
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}
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QrSegment QrSegment::makeEci(long assignVal) {
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BitBuffer bb;
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if (assignVal < 0)
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throw std::domain_error("ECI assignment value out of range");
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else if (assignVal < (1 << 7))
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bb.appendBits(static_cast<uint32_t>(assignVal), 8);
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else if (assignVal < (1 << 14)) {
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bb.appendBits(2, 2);
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bb.appendBits(static_cast<uint32_t>(assignVal), 14);
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} else if (assignVal < 1000000L) {
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bb.appendBits(6, 3);
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bb.appendBits(static_cast<uint32_t>(assignVal), 21);
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} else
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throw std::domain_error("ECI assignment value out of range");
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return QrSegment(Mode::ECI, 0, std::move(bb));
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}
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QrSegment::QrSegment(Mode md, int numCh, const std::vector<bool> &dt) :
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mode(md),
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numChars(numCh),
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data(dt) {
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if (numCh < 0)
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throw std::domain_error("Invalid value");
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}
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QrSegment::QrSegment(Mode md, int numCh, std::vector<bool> &&dt) :
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mode(md),
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numChars(numCh),
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data(std::move(dt)) {
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if (numCh < 0)
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throw std::domain_error("Invalid value");
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}
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int QrSegment::getTotalBits(const vector<QrSegment> &segs, int version) {
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int result = 0;
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for (const QrSegment &seg : segs) {
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int ccbits = seg.mode.numCharCountBits(version);
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if (seg.numChars >= (1L << ccbits))
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return -1; // The segment's length doesn't fit the field's bit width
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if (4 + ccbits > INT_MAX - result)
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return -1; // The sum will overflow an int type
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result += 4 + ccbits;
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if (seg.data.size() > static_cast<unsigned int>(INT_MAX - result))
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return -1; // The sum will overflow an int type
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result += static_cast<int>(seg.data.size());
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}
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return result;
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}
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bool QrSegment::isAlphanumeric(const char *text) {
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for (; *text != '\0'; text++) {
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if (std::strchr(ALPHANUMERIC_CHARSET, *text) == nullptr)
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return false;
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}
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return true;
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}
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bool QrSegment::isNumeric(const char *text) {
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for (; *text != '\0'; text++) {
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char c = *text;
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if (c < '0' || c > '9')
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return false;
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}
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return true;
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}
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QrSegment::Mode QrSegment::getMode() const {
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return mode;
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}
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int QrSegment::getNumChars() const {
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return numChars;
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}
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const std::vector<bool> &QrSegment::getData() const {
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return data;
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}
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const char *QrSegment::ALPHANUMERIC_CHARSET = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ $%*+-./:";
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int QrCode::getFormatBits(Ecc ecl) {
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switch (ecl) {
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case Ecc::LOW : return 1;
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case Ecc::MEDIUM : return 0;
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case Ecc::QUARTILE: return 3;
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case Ecc::HIGH : return 2;
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default: throw std::logic_error("Assertion error");
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}
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}
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QrCode QrCode::encodeText(const char *text, Ecc ecl) {
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vector<QrSegment> segs = QrSegment::makeSegments(text);
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return encodeSegments(segs, ecl);
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}
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QrCode QrCode::encodeBinary(const vector<uint8_t> &data, Ecc ecl) {
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vector<QrSegment> segs{QrSegment::makeBytes(data)};
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return encodeSegments(segs, ecl);
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}
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QrCode QrCode::encodeSegments(const vector<QrSegment> &segs, Ecc ecl,
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int minVersion, int maxVersion, int mask, bool boostEcl) {
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if (!(MIN_VERSION <= minVersion && minVersion <= maxVersion && maxVersion <= MAX_VERSION) || mask < -1 || mask > 7)
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throw std::invalid_argument("Invalid value");
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// Find the minimal version number to use
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int version, dataUsedBits;
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for (version = minVersion; ; version++) {
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int dataCapacityBits = getNumDataCodewords(version, ecl) * 8; // Number of data bits available
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dataUsedBits = QrSegment::getTotalBits(segs, version);
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if (dataUsedBits != -1 && dataUsedBits <= dataCapacityBits)
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break; // This version number is found to be suitable
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if (version >= maxVersion) { // All versions in the range could not fit the given data
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std::ostringstream sb;
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if (dataUsedBits == -1)
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sb << "Segment too long";
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else {
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sb << "Data length = " << dataUsedBits << " bits, ";
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sb << "Max capacity = " << dataCapacityBits << " bits";
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}
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throw data_too_long(sb.str());
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}
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}
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if (dataUsedBits == -1)
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throw std::logic_error("Assertion error");
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// Increase the error correction level while the data still fits in the current version number
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for (Ecc newEcl : vector<Ecc>{Ecc::MEDIUM, Ecc::QUARTILE, Ecc::HIGH}) { // From low to high
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if (boostEcl && dataUsedBits <= getNumDataCodewords(version, newEcl) * 8)
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ecl = newEcl;
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}
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// Concatenate all segments to create the data bit string
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BitBuffer bb;
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for (const QrSegment &seg : segs) {
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bb.appendBits(static_cast<uint32_t>(seg.getMode().getModeBits()), 4);
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bb.appendBits(static_cast<uint32_t>(seg.getNumChars()), seg.getMode().numCharCountBits(version));
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bb.insert(bb.end(), seg.getData().begin(), seg.getData().end());
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}
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if (bb.size() != static_cast<unsigned int>(dataUsedBits))
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throw std::logic_error("Assertion error");
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// Add terminator and pad up to a byte if applicable
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size_t dataCapacityBits = static_cast<size_t>(getNumDataCodewords(version, ecl)) * 8;
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if (bb.size() > dataCapacityBits)
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throw std::logic_error("Assertion error");
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bb.appendBits(0, std::min(4, static_cast<int>(dataCapacityBits - bb.size())));
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bb.appendBits(0, (8 - static_cast<int>(bb.size() % 8)) % 8);
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if (bb.size() % 8 != 0)
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throw std::logic_error("Assertion error");
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// Pad with alternating bytes until data capacity is reached
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for (uint8_t padByte = 0xEC; bb.size() < dataCapacityBits; padByte ^= 0xEC ^ 0x11)
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bb.appendBits(padByte, 8);
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// Pack bits into bytes in big endian
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vector<uint8_t> dataCodewords(bb.size() / 8);
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for (size_t i = 0; i < bb.size(); i++)
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dataCodewords[i >> 3] |= (bb.at(i) ? 1 : 0) << (7 - (i & 7));
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// Create the QR Code object
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return QrCode(version, ecl, dataCodewords, mask);
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}
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QrCode::QrCode(int ver, Ecc ecl, const vector<uint8_t> &dataCodewords, int msk) :
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// Initialize fields and check arguments
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version(ver),
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errorCorrectionLevel(ecl) {
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if (ver < MIN_VERSION || ver > MAX_VERSION)
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throw std::domain_error("Version value out of range");
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if (msk < -1 || msk > 7)
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throw std::domain_error("Mask value out of range");
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size = ver * 4 + 17;
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size_t sz = static_cast<size_t>(size);
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modules = vector<vector<bool> >(sz, vector<bool>(sz)); // Initially all white
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isFunction = vector<vector<bool> >(sz, vector<bool>(sz));
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// Compute ECC, draw modules
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drawFunctionPatterns();
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const vector<uint8_t> allCodewords = addEccAndInterleave(dataCodewords);
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drawCodewords(allCodewords);
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// Do masking
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if (msk == -1) { // Automatically choose best mask
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long minPenalty = LONG_MAX;
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for (int i = 0; i < 8; i++) {
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applyMask(i);
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drawFormatBits(i);
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long penalty = getPenaltyScore();
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if (penalty < minPenalty) {
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msk = i;
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minPenalty = penalty;
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}
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applyMask(i); // Undoes the mask due to XOR
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}
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}
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if (msk < 0 || msk > 7)
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throw std::logic_error("Assertion error");
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this->mask = msk;
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applyMask(msk); // Apply the final choice of mask
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drawFormatBits(msk); // Overwrite old format bits
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isFunction.clear();
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isFunction.shrink_to_fit();
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}
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int QrCode::getVersion() const {
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return version;
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}
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int QrCode::getSize() const {
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return size;
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}
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QrCode::Ecc QrCode::getErrorCorrectionLevel() const {
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return errorCorrectionLevel;
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}
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int QrCode::getMask() const {
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return mask;
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}
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bool QrCode::getModule(int x, int y) const {
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return 0 <= x && x < size && 0 <= y && y < size && module(x, y);
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}
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std::string QrCode::toSvgString(int border) const {
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if (border < 0)
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throw std::domain_error("Border must be non-negative");
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if (border > INT_MAX / 2 || border * 2 > INT_MAX - size)
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throw std::overflow_error("Border too large");
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std::ostringstream sb;
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sb << "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n";
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sb << "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n";
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sb << "<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\" viewBox=\"0 0 ";
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sb << (size + border * 2) << " " << (size + border * 2) << "\" stroke=\"none\">\n";
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sb << "\t<rect width=\"100%\" height=\"100%\" fill=\"#FFFFFF\"/>\n";
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sb << "\t<path d=\"";
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for (int y = 0; y < size; y++) {
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for (int x = 0; x < size; x++) {
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if (getModule(x, y)) {
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if (x != 0 || y != 0)
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sb << " ";
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sb << "M" << (x + border) << "," << (y + border) << "h1v1h-1z";
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}
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}
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}
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sb << "\" fill=\"#000000\"/>\n";
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sb << "</svg>\n";
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return sb.str();
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}
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void QrCode::drawFunctionPatterns() {
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// Draw horizontal and vertical timing patterns
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for (int i = 0; i < size; i++) {
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setFunctionModule(6, i, i % 2 == 0);
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setFunctionModule(i, 6, i % 2 == 0);
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}
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// Draw 3 finder patterns (all corners except bottom right; overwrites some timing modules)
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drawFinderPattern(3, 3);
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drawFinderPattern(size - 4, 3);
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drawFinderPattern(3, size - 4);
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// Draw numerous alignment patterns
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const vector<int> alignPatPos = getAlignmentPatternPositions();
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size_t numAlign = alignPatPos.size();
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for (size_t i = 0; i < numAlign; i++) {
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for (size_t j = 0; j < numAlign; j++) {
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// Don't draw on the three finder corners
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if (!((i == 0 && j == 0) || (i == 0 && j == numAlign - 1) || (i == numAlign - 1 && j == 0)))
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drawAlignmentPattern(alignPatPos.at(i), alignPatPos.at(j));
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}
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}
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// Draw configuration data
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drawFormatBits(0); // Dummy mask value; overwritten later in the constructor
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drawVersion();
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}
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void QrCode::drawFormatBits(int msk) {
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// Calculate error correction code and pack bits
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int data = getFormatBits(errorCorrectionLevel) << 3 | msk; // errCorrLvl is uint2, msk is uint3
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int rem = data;
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for (int i = 0; i < 10; i++)
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rem = (rem << 1) ^ ((rem >> 9) * 0x537);
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int bits = (data << 10 | rem) ^ 0x5412; // uint15
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if (bits >> 15 != 0)
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throw std::logic_error("Assertion error");
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// Draw first copy
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for (int i = 0; i <= 5; i++)
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setFunctionModule(8, i, getBit(bits, i));
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setFunctionModule(8, 7, getBit(bits, 6));
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setFunctionModule(8, 8, getBit(bits, 7));
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setFunctionModule(7, 8, getBit(bits, 8));
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for (int i = 9; i < 15; i++)
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setFunctionModule(14 - i, 8, getBit(bits, i));
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// Draw second copy
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for (int i = 0; i < 8; i++)
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setFunctionModule(size - 1 - i, 8, getBit(bits, i));
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for (int i = 8; i < 15; i++)
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setFunctionModule(8, size - 15 + i, getBit(bits, i));
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setFunctionModule(8, size - 8, true); // Always black
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}
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void QrCode::drawVersion() {
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if (version < 7)
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return;
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// Calculate error correction code and pack bits
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int rem = version; // version is uint6, in the range [7, 40]
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for (int i = 0; i < 12; i++)
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rem = (rem << 1) ^ ((rem >> 11) * 0x1F25);
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long bits = static_cast<long>(version) << 12 | rem; // uint18
|
|
if (bits >> 18 != 0)
|
|
throw std::logic_error("Assertion error");
|
|
|
|
// Draw two copies
|
|
for (int i = 0; i < 18; i++) {
|
|
bool bit = getBit(bits, i);
|
|
int a = size - 11 + i % 3;
|
|
int b = i / 3;
|
|
setFunctionModule(a, b, bit);
|
|
setFunctionModule(b, a, bit);
|
|
}
|
|
}
|
|
|
|
|
|
void QrCode::drawFinderPattern(int x, int y) {
|
|
for (int dy = -4; dy <= 4; dy++) {
|
|
for (int dx = -4; dx <= 4; dx++) {
|
|
int dist = std::max(std::abs(dx), std::abs(dy)); // Chebyshev/infinity norm
|
|
int xx = x + dx, yy = y + dy;
|
|
if (0 <= xx && xx < size && 0 <= yy && yy < size)
|
|
setFunctionModule(xx, yy, dist != 2 && dist != 4);
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
void QrCode::drawAlignmentPattern(int x, int y) {
|
|
for (int dy = -2; dy <= 2; dy++) {
|
|
for (int dx = -2; dx <= 2; dx++)
|
|
setFunctionModule(x + dx, y + dy, std::max(std::abs(dx), std::abs(dy)) != 1);
|
|
}
|
|
}
|
|
|
|
|
|
void QrCode::setFunctionModule(int x, int y, bool isBlack) {
|
|
size_t ux = static_cast<size_t>(x);
|
|
size_t uy = static_cast<size_t>(y);
|
|
modules .at(uy).at(ux) = isBlack;
|
|
isFunction.at(uy).at(ux) = true;
|
|
}
|
|
|
|
|
|
bool QrCode::module(int x, int y) const {
|
|
return modules.at(static_cast<size_t>(y)).at(static_cast<size_t>(x));
|
|
}
|
|
|
|
|
|
vector<uint8_t> QrCode::addEccAndInterleave(const vector<uint8_t> &data) const {
|
|
if (data.size() != static_cast<unsigned int>(getNumDataCodewords(version, errorCorrectionLevel)))
|
|
throw std::invalid_argument("Invalid argument");
|
|
|
|
// Calculate parameter numbers
|
|
int numBlocks = NUM_ERROR_CORRECTION_BLOCKS[static_cast<int>(errorCorrectionLevel)][version];
|
|
int blockEccLen = ECC_CODEWORDS_PER_BLOCK [static_cast<int>(errorCorrectionLevel)][version];
|
|
int rawCodewords = getNumRawDataModules(version) / 8;
|
|
int numShortBlocks = numBlocks - rawCodewords % numBlocks;
|
|
int shortBlockLen = rawCodewords / numBlocks;
|
|
|
|
// Split data into blocks and append ECC to each block
|
|
vector<vector<uint8_t> > blocks;
|
|
const vector<uint8_t> rsDiv = reedSolomonComputeDivisor(blockEccLen);
|
|
for (int i = 0, k = 0; i < numBlocks; i++) {
|
|
vector<uint8_t> dat(data.cbegin() + k, data.cbegin() + (k + shortBlockLen - blockEccLen + (i < numShortBlocks ? 0 : 1)));
|
|
k += static_cast<int>(dat.size());
|
|
const vector<uint8_t> ecc = reedSolomonComputeRemainder(dat, rsDiv);
|
|
if (i < numShortBlocks)
|
|
dat.push_back(0);
|
|
dat.insert(dat.end(), ecc.cbegin(), ecc.cend());
|
|
blocks.push_back(std::move(dat));
|
|
}
|
|
|
|
// Interleave (not concatenate) the bytes from every block into a single sequence
|
|
vector<uint8_t> result;
|
|
for (size_t i = 0; i < blocks.at(0).size(); i++) {
|
|
for (size_t j = 0; j < blocks.size(); j++) {
|
|
// Skip the padding byte in short blocks
|
|
if (i != static_cast<unsigned int>(shortBlockLen - blockEccLen) || j >= static_cast<unsigned int>(numShortBlocks))
|
|
result.push_back(blocks.at(j).at(i));
|
|
}
|
|
}
|
|
if (result.size() != static_cast<unsigned int>(rawCodewords))
|
|
throw std::logic_error("Assertion error");
|
|
return result;
|
|
}
|
|
|
|
|
|
void QrCode::drawCodewords(const vector<uint8_t> &data) {
|
|
if (data.size() != static_cast<unsigned int>(getNumRawDataModules(version) / 8))
|
|
throw std::invalid_argument("Invalid argument");
|
|
|
|
size_t i = 0; // Bit index into the data
|
|
// Do the funny zigzag scan
|
|
for (int right = size - 1; right >= 1; right -= 2) { // Index of right column in each column pair
|
|
if (right == 6)
|
|
right = 5;
|
|
for (int vert = 0; vert < size; vert++) { // Vertical counter
|
|
for (int j = 0; j < 2; j++) {
|
|
size_t x = static_cast<size_t>(right - j); // Actual x coordinate
|
|
bool upward = ((right + 1) & 2) == 0;
|
|
size_t y = static_cast<size_t>(upward ? size - 1 - vert : vert); // Actual y coordinate
|
|
if (!isFunction.at(y).at(x) && i < data.size() * 8) {
|
|
modules.at(y).at(x) = getBit(data.at(i >> 3), 7 - static_cast<int>(i & 7));
|
|
i++;
|
|
}
|
|
// If this QR Code has any remainder bits (0 to 7), they were assigned as
|
|
// 0/false/white by the constructor and are left unchanged by this method
|
|
}
|
|
}
|
|
}
|
|
if (i != data.size() * 8)
|
|
throw std::logic_error("Assertion error");
|
|
}
|
|
|
|
|
|
void QrCode::applyMask(int msk) {
|
|
if (msk < 0 || msk > 7)
|
|
throw std::domain_error("Mask value out of range");
|
|
size_t sz = static_cast<size_t>(size);
|
|
for (size_t y = 0; y < sz; y++) {
|
|
for (size_t x = 0; x < sz; x++) {
|
|
bool invert;
|
|
switch (msk) {
|
|
case 0: invert = (x + y) % 2 == 0; break;
|
|
case 1: invert = y % 2 == 0; break;
|
|
case 2: invert = x % 3 == 0; break;
|
|
case 3: invert = (x + y) % 3 == 0; break;
|
|
case 4: invert = (x / 3 + y / 2) % 2 == 0; break;
|
|
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;
|
|
default: throw std::logic_error("Assertion error");
|
|
}
|
|
modules.at(y).at(x) = modules.at(y).at(x) ^ (invert & !isFunction.at(y).at(x));
|
|
}
|
|
}
|
|
}
|
|
|
|
|
|
long QrCode::getPenaltyScore() const {
|
|
long result = 0;
|
|
|
|
// Adjacent modules in row having same color, and finder-like patterns
|
|
for (int y = 0; y < size; y++) {
|
|
bool runColor = false;
|
|
int runX = 0;
|
|
std::array<int,7> runHistory = {};
|
|
for (int x = 0; x < size; x++) {
|
|
if (module(x, y) == runColor) {
|
|
runX++;
|
|
if (runX == 5)
|
|
result += PENALTY_N1;
|
|
else if (runX > 5)
|
|
result++;
|
|
} else {
|
|
finderPenaltyAddHistory(runX, runHistory);
|
|
if (!runColor)
|
|
result += finderPenaltyCountPatterns(runHistory) * PENALTY_N3;
|
|
runColor = module(x, y);
|
|
runX = 1;
|
|
}
|
|
}
|
|
result += finderPenaltyTerminateAndCount(runColor, runX, runHistory) * PENALTY_N3;
|
|
}
|
|
// Adjacent modules in column having same color, and finder-like patterns
|
|
for (int x = 0; x < size; x++) {
|
|
bool runColor = false;
|
|
int runY = 0;
|
|
std::array<int,7> runHistory = {};
|
|
for (int y = 0; y < size; y++) {
|
|
if (module(x, y) == runColor) {
|
|
runY++;
|
|
if (runY == 5)
|
|
result += PENALTY_N1;
|
|
else if (runY > 5)
|
|
result++;
|
|
} else {
|
|
finderPenaltyAddHistory(runY, runHistory);
|
|
if (!runColor)
|
|
result += finderPenaltyCountPatterns(runHistory) * PENALTY_N3;
|
|
runColor = module(x, y);
|
|
runY = 1;
|
|
}
|
|
}
|
|
result += finderPenaltyTerminateAndCount(runColor, runY, runHistory) * PENALTY_N3;
|
|
}
|
|
|
|
// 2*2 blocks of modules having same color
|
|
for (int y = 0; y < size - 1; y++) {
|
|
for (int x = 0; x < size - 1; x++) {
|
|
bool color = module(x, y);
|
|
if ( color == module(x + 1, y) &&
|
|
color == module(x, y + 1) &&
|
|
color == module(x + 1, y + 1))
|
|
result += PENALTY_N2;
|
|
}
|
|
}
|
|
|
|
// Balance of black and white modules
|
|
int black = 0;
|
|
for (const vector<bool> &row : modules) {
|
|
for (bool color : row) {
|
|
if (color)
|
|
black++;
|
|
}
|
|
}
|
|
int total = size * size; // Note that size is odd, so black/total != 1/2
|
|
// Compute the smallest integer k >= 0 such that (45-5k)% <= black/total <= (55+5k)%
|
|
int k = static_cast<int>((std::abs(black * 20L - total * 10L) + total - 1) / total) - 1;
|
|
result += k * PENALTY_N4;
|
|
return result;
|
|
}
|
|
|
|
|
|
vector<int> QrCode::getAlignmentPatternPositions() const {
|
|
if (version == 1)
|
|
return vector<int>();
|
|
else {
|
|
int numAlign = version / 7 + 2;
|
|
int step = (version == 32) ? 26 :
|
|
(version*4 + numAlign*2 + 1) / (numAlign*2 - 2) * 2;
|
|
vector<int> result;
|
|
for (int i = 0, pos = size - 7; i < numAlign - 1; i++, pos -= step)
|
|
result.insert(result.begin(), pos);
|
|
result.insert(result.begin(), 6);
|
|
return result;
|
|
}
|
|
}
|
|
|
|
|
|
int QrCode::getNumRawDataModules(int ver) {
|
|
if (ver < MIN_VERSION || ver > MAX_VERSION)
|
|
throw std::domain_error("Version number out of range");
|
|
int result = (16 * ver + 128) * ver + 64;
|
|
if (ver >= 2) {
|
|
int numAlign = ver / 7 + 2;
|
|
result -= (25 * numAlign - 10) * numAlign - 55;
|
|
if (ver >= 7)
|
|
result -= 36;
|
|
}
|
|
if (!(208 <= result && result <= 29648))
|
|
throw std::logic_error("Assertion error");
|
|
return result;
|
|
}
|
|
|
|
|
|
int QrCode::getNumDataCodewords(int ver, Ecc ecl) {
|
|
return getNumRawDataModules(ver) / 8
|
|
- ECC_CODEWORDS_PER_BLOCK [static_cast<int>(ecl)][ver]
|
|
* NUM_ERROR_CORRECTION_BLOCKS[static_cast<int>(ecl)][ver];
|
|
}
|
|
|
|
|
|
vector<uint8_t> QrCode::reedSolomonComputeDivisor(int degree) {
|
|
if (degree < 1 || degree > 255)
|
|
throw std::domain_error("Degree out of range");
|
|
// Polynomial coefficients are stored from highest to lowest power, excluding the leading term which is always 1.
|
|
// For example the polynomial x^3 + 255x^2 + 8x + 93 is stored as the uint8 array {255, 8, 93}.
|
|
vector<uint8_t> result(static_cast<size_t>(degree));
|
|
result.at(result.size() - 1) = 1; // Start off with the monomial x^0
|
|
|
|
// Compute the product polynomial (x - r^0) * (x - r^1) * (x - r^2) * ... * (x - r^{degree-1}),
|
|
// and drop the highest monomial term which is always 1x^degree.
|
|
// Note that r = 0x02, which is a generator element of this field GF(2^8/0x11D).
|
|
uint8_t root = 1;
|
|
for (int i = 0; i < degree; i++) {
|
|
// Multiply the current product by (x - r^i)
|
|
for (size_t j = 0; j < result.size(); j++) {
|
|
result.at(j) = reedSolomonMultiply(result.at(j), root);
|
|
if (j + 1 < result.size())
|
|
result.at(j) ^= result.at(j + 1);
|
|
}
|
|
root = reedSolomonMultiply(root, 0x02);
|
|
}
|
|
return result;
|
|
}
|
|
|
|
|
|
vector<uint8_t> QrCode::reedSolomonComputeRemainder(const vector<uint8_t> &data, const vector<uint8_t> &divisor) {
|
|
vector<uint8_t> result(divisor.size());
|
|
for (uint8_t b : data) { // Polynomial division
|
|
uint8_t factor = b ^ result.at(0);
|
|
result.erase(result.begin());
|
|
result.push_back(0);
|
|
for (size_t i = 0; i < result.size(); i++)
|
|
result.at(i) ^= reedSolomonMultiply(divisor.at(i), factor);
|
|
}
|
|
return result;
|
|
}
|
|
|
|
|
|
uint8_t QrCode::reedSolomonMultiply(uint8_t x, uint8_t y) {
|
|
// Russian peasant multiplication
|
|
int z = 0;
|
|
for (int i = 7; i >= 0; i--) {
|
|
z = (z << 1) ^ ((z >> 7) * 0x11D);
|
|
z ^= ((y >> i) & 1) * x;
|
|
}
|
|
if (z >> 8 != 0)
|
|
throw std::logic_error("Assertion error");
|
|
return static_cast<uint8_t>(z);
|
|
}
|
|
|
|
|
|
int QrCode::finderPenaltyCountPatterns(const std::array<int,7> &runHistory) const {
|
|
int n = runHistory.at(1);
|
|
if (n > size * 3)
|
|
throw std::logic_error("Assertion error");
|
|
bool core = n > 0 && runHistory.at(2) == n && runHistory.at(3) == n * 3 && runHistory.at(4) == n && runHistory.at(5) == n;
|
|
return (core && runHistory.at(0) >= n * 4 && runHistory.at(6) >= n ? 1 : 0)
|
|
+ (core && runHistory.at(6) >= n * 4 && runHistory.at(0) >= n ? 1 : 0);
|
|
}
|
|
|
|
|
|
int QrCode::finderPenaltyTerminateAndCount(bool currentRunColor, int currentRunLength, std::array<int,7> &runHistory) const {
|
|
if (currentRunColor) { // Terminate black run
|
|
finderPenaltyAddHistory(currentRunLength, runHistory);
|
|
currentRunLength = 0;
|
|
}
|
|
currentRunLength += size; // Add white border to final run
|
|
finderPenaltyAddHistory(currentRunLength, runHistory);
|
|
return finderPenaltyCountPatterns(runHistory);
|
|
}
|
|
|
|
|
|
void QrCode::finderPenaltyAddHistory(int currentRunLength, std::array<int,7> &runHistory) const {
|
|
if (runHistory.at(0) == 0)
|
|
currentRunLength += size; // Add white border to initial run
|
|
std::copy_backward(runHistory.cbegin(), runHistory.cend() - 1, runHistory.end());
|
|
runHistory.at(0) = currentRunLength;
|
|
}
|
|
|
|
|
|
bool QrCode::getBit(long x, int i) {
|
|
return ((x >> i) & 1) != 0;
|
|
}
|
|
|
|
|
|
/*---- Tables of constants ----*/
|
|
|
|
const int QrCode::PENALTY_N1 = 3;
|
|
const int QrCode::PENALTY_N2 = 3;
|
|
const int QrCode::PENALTY_N3 = 40;
|
|
const int QrCode::PENALTY_N4 = 10;
|
|
|
|
|
|
const int8_t QrCode::ECC_CODEWORDS_PER_BLOCK[4][41] = {
|
|
// Version: (note that index 0 is for padding, and is set to an illegal value)
|
|
//0, 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
|
|
{-1, 7, 10, 15, 20, 26, 18, 20, 24, 30, 18, 20, 24, 26, 30, 22, 24, 28, 30, 28, 28, 28, 28, 30, 30, 26, 28, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30}, // Low
|
|
{-1, 10, 16, 26, 18, 24, 16, 18, 22, 22, 26, 30, 22, 22, 24, 24, 28, 28, 26, 26, 26, 26, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28}, // Medium
|
|
{-1, 13, 22, 18, 26, 18, 24, 18, 22, 20, 24, 28, 26, 24, 20, 30, 24, 28, 28, 26, 30, 28, 30, 30, 30, 30, 28, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30}, // Quartile
|
|
{-1, 17, 28, 22, 16, 22, 28, 26, 26, 24, 28, 24, 28, 22, 24, 24, 30, 28, 28, 26, 28, 30, 24, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30}, // High
|
|
};
|
|
|
|
const int8_t QrCode::NUM_ERROR_CORRECTION_BLOCKS[4][41] = {
|
|
// Version: (note that index 0 is for padding, and is set to an illegal value)
|
|
//0, 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
|
|
{-1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6, 6, 7, 8, 8, 9, 9, 10, 12, 12, 12, 13, 14, 15, 16, 17, 18, 19, 19, 20, 21, 22, 24, 25}, // Low
|
|
{-1, 1, 1, 1, 2, 2, 4, 4, 4, 5, 5, 5, 8, 9, 9, 10, 10, 11, 13, 14, 16, 17, 17, 18, 20, 21, 23, 25, 26, 28, 29, 31, 33, 35, 37, 38, 40, 43, 45, 47, 49}, // Medium
|
|
{-1, 1, 1, 2, 2, 4, 4, 6, 6, 8, 8, 8, 10, 12, 16, 12, 17, 16, 18, 21, 20, 23, 23, 25, 27, 29, 34, 34, 35, 38, 40, 43, 45, 48, 51, 53, 56, 59, 62, 65, 68}, // Quartile
|
|
{-1, 1, 1, 2, 4, 4, 4, 5, 6, 8, 8, 11, 11, 16, 16, 18, 16, 19, 21, 25, 25, 25, 34, 30, 32, 35, 37, 40, 42, 45, 48, 51, 54, 57, 60, 63, 66, 70, 74, 77, 81}, // High
|
|
};
|
|
|
|
|
|
data_too_long::data_too_long(const std::string &msg) :
|
|
std::length_error(msg) {}
|
|
|
|
|
|
|
|
BitBuffer::BitBuffer()
|
|
: std::vector<bool>() {}
|
|
|
|
|
|
void BitBuffer::appendBits(std::uint32_t val, int len) {
|
|
if (len < 0 || len > 31 || val >> len != 0)
|
|
throw std::domain_error("Value out of range");
|
|
for (int i = len - 1; i >= 0; i--) // Append bit by bit
|
|
this->push_back(((val >> i) & 1) != 0);
|
|
}
|
|
|
|
}
|
|
|