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-// Copyright (c) 2014-2019, The Monero Project
-//
-// All rights reserved.
-//
-// Redistribution and use in source and binary forms, with or without modification, are
-// permitted provided that the following conditions are met:
-//
-// 1. Redistributions of source code must retain the above copyright notice, this list of
-// conditions and the following disclaimer.
-//
-// 2. Redistributions in binary form must reproduce the above copyright notice, this list
-// of conditions and the following disclaimer in the documentation and/or other
-// materials provided with the distribution.
-//
-// 3. Neither the name of the copyright holder nor the names of its contributors may be
-// used to endorse or promote products derived from this software without specific
-// prior written permission.
-//
-// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY
-// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
-// MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL
-// THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
-// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
-// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
-// INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
-// STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF
-// THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
-
-/*
- * QR Code generator library (C++)
- *
- * Copyright (c) 2016 Project Nayuki
- * https://www.nayuki.io/page/qr-code-generator-library
- *
- * (MIT License)
- * Permission is hereby granted, free of charge, to any person obtaining a copy of
- * this software and associated documentation files (the "Software"), to deal in
- * the Software without restriction, including without limitation the rights to
- * use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of
- * the Software, and to permit persons to whom the Software is furnished to do so,
- * subject to the following conditions:
- * - The above copyright notice and this permission notice shall be included in
- * all copies or substantial portions of the Software.
- * - The Software is provided "as is", without warranty of any kind, express or
- * implied, including but not limited to the warranties of merchantability,
- * fitness for a particular purpose and noninfringement. In no event shall the
- * authors or copyright holders be liable for any claim, damages or other
- * liability, whether in an action of contract, tort or otherwise, arising from,
- * out of or in connection with the Software or the use or other dealings in the
- * Software.
- */
-
-#include <algorithm>
-#include <climits>
-#include <cmath>
-#include <cstddef>
-#include <sstream>
-#include "BitBuffer.hpp"
-#include "QrCode.hpp"
-
-
-qrcodegen::QrCode::Ecc::Ecc(int ord, int fb) :
- ordinal(ord),
- formatBits(fb) {}
-
-
-const qrcodegen::QrCode::Ecc qrcodegen::QrCode::Ecc::LOW (0, 1);
-const qrcodegen::QrCode::Ecc qrcodegen::QrCode::Ecc::MEDIUM (1, 0);
-const qrcodegen::QrCode::Ecc qrcodegen::QrCode::Ecc::QUARTILE(2, 3);
-const qrcodegen::QrCode::Ecc qrcodegen::QrCode::Ecc::HIGH (3, 2);
-
-
-qrcodegen::QrCode qrcodegen::QrCode::encodeText(const char *text, const Ecc &ecl) {
- std::vector<QrSegment> segs(QrSegment::makeSegments(text));
- return encodeSegments(segs, ecl);
-}
-
-
-qrcodegen::QrCode qrcodegen::QrCode::encodeBinary(const std::vector<uint8_t> &data, const Ecc &ecl) {
- std::vector<QrSegment> segs;
- segs.push_back(QrSegment::makeBytes(data));
- return encodeSegments(segs, ecl);
-}
-
-
-qrcodegen::QrCode qrcodegen::QrCode::encodeSegments(const std::vector<QrSegment> &segs, const Ecc &ecl,
- int minVersion, int maxVersion, int mask, bool boostEcl) {
- if (!(1 <= minVersion && minVersion <= maxVersion && maxVersion <= 40) || mask < -1 || mask > 7)
- throw "Invalid value";
-
- // Find the minimal version number to use
- int version, dataUsedBits;
- for (version = minVersion; ; version++) {
- int dataCapacityBits = getNumDataCodewords(version, ecl) * 8; // Number of data bits available
- dataUsedBits = QrSegment::getTotalBits(segs, version);
- if (dataUsedBits != -1 && dataUsedBits <= dataCapacityBits)
- break; // This version number is found to be suitable
- if (version >= maxVersion) // All versions in the range could not fit the given data
- throw "Data too long";
- }
- if (dataUsedBits == -1)
- throw "Assertion error";
-
- // Increase the error correction level while the data still fits in the current version number
- const Ecc *newEcl = &ecl;
- if (boostEcl) {
- if (dataUsedBits <= getNumDataCodewords(version, Ecc::MEDIUM ) * 8) newEcl = &Ecc::MEDIUM ;
- if (dataUsedBits <= getNumDataCodewords(version, Ecc::QUARTILE) * 8) newEcl = &Ecc::QUARTILE;
- if (dataUsedBits <= getNumDataCodewords(version, Ecc::HIGH ) * 8) newEcl = &Ecc::HIGH ;
- }
-
- // Create the data bit string by concatenating all segments
- int dataCapacityBits = getNumDataCodewords(version, *newEcl) * 8;
- BitBuffer bb;
- for (size_t i = 0; i < segs.size(); i++) {
- const QrSegment &seg(segs.at(i));
- bb.appendBits(seg.mode.modeBits, 4);
- bb.appendBits(seg.numChars, seg.mode.numCharCountBits(version));
- bb.appendData(seg);
- }
-
- // Add terminator and pad up to a byte if applicable
- bb.appendBits(0, std::min(4, dataCapacityBits - bb.getBitLength()));
- bb.appendBits(0, (8 - bb.getBitLength() % 8) % 8);
-
- // Pad with alternate bytes until data capacity is reached
- for (uint8_t padByte = 0xEC; bb.getBitLength() < dataCapacityBits; padByte ^= 0xEC ^ 0x11)
- bb.appendBits(padByte, 8);
- if (bb.getBitLength() % 8 != 0)
- throw "Assertion error";
-
- // Create the QR Code symbol
- return QrCode(version, *newEcl, bb.getBytes(), mask);
-}
-
-
-qrcodegen::QrCode::QrCode(int ver, const Ecc &ecl, const std::vector<uint8_t> &dataCodewords, int mask) :
- // Initialize scalar fields
- version(ver),
- size(1 <= ver && ver <= 40 ? ver * 4 + 17 : -1), // Avoid signed overflow undefined behavior
- errorCorrectionLevel(ecl) {
-
- // Check arguments
- if (ver < 1 || ver > 40 || mask < -1 || mask > 7)
- throw "Value out of range";
-
- std::vector<bool> row(size);
- for (int i = 0; i < size; i++) {
- modules.push_back(row);
- isFunction.push_back(row);
- }
-
- // Draw function patterns, draw all codewords, do masking
- drawFunctionPatterns();
- const std::vector<uint8_t> allCodewords(appendErrorCorrection(dataCodewords));
- drawCodewords(allCodewords);
- this->mask = handleConstructorMasking(mask);
-}
-
-
-qrcodegen::QrCode::QrCode(const QrCode &qr, int mask) :
- // Copy scalar fields
- version(qr.version),
- size(qr.size),
- errorCorrectionLevel(qr.errorCorrectionLevel) {
-
- // Check arguments
- if (mask < -1 || mask > 7)
- throw "Mask value out of range";
-
- // Handle grid fields
- modules = qr.modules;
- isFunction = qr.isFunction;
-
- // Handle masking
- applyMask(qr.mask); // Undo old mask
- this->mask = handleConstructorMasking(mask);
-}
-
-
-int qrcodegen::QrCode::getMask() const {
- return mask;
-}
-
-
-int qrcodegen::QrCode::getModule(int x, int y) const {
- if (0 <= x && x < size && 0 <= y && y < size)
- return modules.at(y).at(x) ? 1 : 0;
- else
- return 0; // Infinite white border
-}
-
-
-std::string qrcodegen::QrCode::toSvgString(int border) const {
- if (border < 0)
- throw "Border must be non-negative";
- std::ostringstream sb;
- sb << "<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n";
- sb << "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n";
- sb << "<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\" viewBox=\"0 0 ";
- sb << (size + border * 2) << " " << (size + border * 2) << "\">\n";
- sb << "\t<rect width=\"100%\" height=\"100%\" fill=\"#FFFFFF\" stroke-width=\"0\"/>\n";
- sb << "\t<path d=\"";
- bool head = true;
- for (int y = -border; y < size + border; y++) {
- for (int x = -border; x < size + border; x++) {
- if (getModule(x, y) == 1) {
- if (head)
- head = false;
- else
- sb << " ";
- sb << "M" << (x + border) << "," << (y + border) << "h1v1h-1z";
- }
- }
- }
- sb << "\" fill=\"#000000\" stroke-width=\"0\"/>\n";
- sb << "</svg>\n";
- return sb.str();
-}
-
-
-void qrcodegen::QrCode::drawFunctionPatterns() {
- // Draw the horizontal and vertical timing patterns
- for (int i = 0; i < size; i++) {
- setFunctionModule(6, i, i % 2 == 0);
- setFunctionModule(i, 6, i % 2 == 0);
- }
-
- // Draw 3 finder patterns (all corners except bottom right; overwrites some timing modules)
- drawFinderPattern(3, 3);
- drawFinderPattern(size - 4, 3);
- drawFinderPattern(3, size - 4);
-
- // Draw the numerous alignment patterns
- const std::vector<int> alignPatPos(getAlignmentPatternPositions(version));
- int numAlign = alignPatPos.size();
- for (int i = 0; i < numAlign; i++) {
- for (int j = 0; j < numAlign; j++) {
- if ((i == 0 && j == 0) || (i == 0 && j == numAlign - 1) || (i == numAlign - 1 && j == 0))
- continue; // Skip the three finder corners
- else
- drawAlignmentPattern(alignPatPos.at(i), alignPatPos.at(j));
- }
- }
-
- // Draw configuration data
- drawFormatBits(0); // Dummy mask value; overwritten later in the constructor
- drawVersion();
-}
-
-
-void qrcodegen::QrCode::drawFormatBits(int mask) {
- // Calculate error correction code and pack bits
- int data = errorCorrectionLevel.formatBits << 3 | mask; // errCorrLvl is uint2, mask is uint3
- int rem = data;
- for (int i = 0; i < 10; i++)
- rem = (rem << 1) ^ ((rem >> 9) * 0x537);
- data = data << 10 | rem;
- data ^= 0x5412; // uint15
- if (data >> 15 != 0)
- throw "Assertion error";
-
- // Draw first copy
- for (int i = 0; i <= 5; i++)
- setFunctionModule(8, i, ((data >> i) & 1) != 0);
- setFunctionModule(8, 7, ((data >> 6) & 1) != 0);
- setFunctionModule(8, 8, ((data >> 7) & 1) != 0);
- setFunctionModule(7, 8, ((data >> 8) & 1) != 0);
- for (int i = 9; i < 15; i++)
- setFunctionModule(14 - i, 8, ((data >> i) & 1) != 0);
-
- // Draw second copy
- for (int i = 0; i <= 7; i++)
- setFunctionModule(size - 1 - i, 8, ((data >> i) & 1) != 0);
- for (int i = 8; i < 15; i++)
- setFunctionModule(8, size - 15 + i, ((data >> i) & 1) != 0);
- setFunctionModule(8, size - 8, true);
-}
-
-
-void qrcodegen::QrCode::drawVersion() {
- if (version < 7)
- return;
-
- // Calculate error correction code and pack bits
- int rem = version; // version is uint6, in the range [7, 40]
- for (int i = 0; i < 12; i++)
- rem = (rem << 1) ^ ((rem >> 11) * 0x1F25);
- int data = version << 12 | rem; // uint18
- if (data >> 18 != 0)
- throw "Assertion error";
-
- // Draw two copies
- for (int i = 0; i < 18; i++) {
- bool bit = ((data >> i) & 1) != 0;
- int a = size - 11 + i % 3, b = i / 3;
- setFunctionModule(a, b, bit);
- setFunctionModule(b, a, bit);
- }
-}
-
-
-void qrcodegen::QrCode::drawFinderPattern(int x, int y) {
- for (int i = -4; i <= 4; i++) {
- for (int j = -4; j <= 4; j++) {
- int dist = std::max(std::abs(i), std::abs(j)); // Chebyshev/infinity norm
- int xx = x + j, yy = y + i;
- if (0 <= xx && xx < size && 0 <= yy && yy < size)
- setFunctionModule(xx, yy, dist != 2 && dist != 4);
- }
- }
-}
-
-
-void qrcodegen::QrCode::drawAlignmentPattern(int x, int y) {
- for (int i = -2; i <= 2; i++) {
- for (int j = -2; j <= 2; j++)
- setFunctionModule(x + j, y + i, std::max(std::abs(i), std::abs(j)) != 1);
- }
-}
-
-
-void qrcodegen::QrCode::setFunctionModule(int x, int y, bool isBlack) {
- modules.at(y).at(x) = isBlack;
- isFunction.at(y).at(x) = true;
-}
-
-
-std::vector<uint8_t> qrcodegen::QrCode::appendErrorCorrection(const std::vector<uint8_t> &data) const {
- if (data.size() != static_cast<unsigned int>(getNumDataCodewords(version, errorCorrectionLevel)))
- throw "Invalid argument";
-
- // Calculate parameter numbers
- int numBlocks = NUM_ERROR_CORRECTION_BLOCKS[errorCorrectionLevel.ordinal][version];
- int totalEcc = NUM_ERROR_CORRECTION_CODEWORDS[errorCorrectionLevel.ordinal][version];
- if (totalEcc % numBlocks != 0)
- throw "Assertion error";
- int blockEccLen = totalEcc / numBlocks;
- int numShortBlocks = numBlocks - getNumRawDataModules(version) / 8 % numBlocks;
- int shortBlockLen = getNumRawDataModules(version) / 8 / numBlocks;
-
- // Split data into blocks and append ECC to each block
- std::vector<std::vector<uint8_t>> blocks;
- const ReedSolomonGenerator rs(blockEccLen);
- for (int i = 0, k = 0; i < numBlocks; i++) {
- std::vector<uint8_t> dat;
- dat.insert(dat.begin(), data.begin() + k, data.begin() + (k + shortBlockLen - blockEccLen + (i < numShortBlocks ? 0 : 1)));
- k += dat.size();
- const std::vector<uint8_t> ecc(rs.getRemainder(dat));
- if (i < numShortBlocks)
- dat.push_back(0);
- dat.insert(dat.end(), ecc.begin(), ecc.end());
- blocks.push_back(dat);
- }
-
- // Interleave (not concatenate) the bytes from every block into a single sequence
- std::vector<uint8_t> result;
- for (int i = 0; static_cast<unsigned int>(i) < blocks.at(0).size(); i++) {
- for (int j = 0; static_cast<unsigned int>(j) < blocks.size(); j++) {
- // Skip the padding byte in short blocks
- if (i != shortBlockLen - blockEccLen || j >= numShortBlocks)
- result.push_back(blocks.at(j).at(i));
- }
- }
- if (result.size() != static_cast<unsigned int>(getNumRawDataModules(version) / 8))
- throw "Assertion error";
- return result;
-}
-
-
-void qrcodegen::QrCode::drawCodewords(const std::vector<uint8_t> &data) {
- if (data.size() != static_cast<unsigned int>(getNumRawDataModules(version) / 8))
- throw "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++) {
- int x = right - j; // Actual x coordinate
- bool upwards = ((right & 2) == 0) ^ (x < 6);
- int y = upwards ? size - 1 - vert : vert; // Actual y coordinate
- if (!isFunction.at(y).at(x) && i < data.size() * 8) {
- modules.at(y).at(x) = ((data.at(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
- }
- }
- }
- if (static_cast<unsigned int>(i) != data.size() * 8)
- throw "Assertion error";
-}
-
-
-void qrcodegen::QrCode::applyMask(int mask) {
- if (mask < 0 || mask > 7)
- throw "Mask value out of range";
- for (int y = 0; y < size; y++) {
- for (int x = 0; x < size; x++) {
- bool invert;
- switch (mask) {
- 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 "Assertion error";
- }
- modules.at(y).at(x) = modules.at(y).at(x) ^ (invert & !isFunction.at(y).at(x));
- }
- }
-}
-
-
-int qrcodegen::QrCode::handleConstructorMasking(int mask) {
- if (mask == -1) { // Automatically choose best mask
- int32_t minPenalty = INT32_MAX;
- for (int i = 0; i < 8; i++) {
- drawFormatBits(i);
- applyMask(i);
- int penalty = getPenaltyScore();
- if (penalty < minPenalty) {
- mask = i;
- minPenalty = penalty;
- }
- applyMask(i); // Undoes the mask due to XOR
- }
- }
- if (mask < 0 || mask > 7)
- throw "Assertion error";
- drawFormatBits(mask); // Overwrite old format bits
- applyMask(mask); // Apply the final choice of mask
- return mask; // The caller shall assign this value to the final-declared field
-}
-
-
-int qrcodegen::QrCode::getPenaltyScore() const {
- int result = 0;
-
- // Adjacent modules in row having same color
- for (int y = 0; y < size; y++) {
- bool colorX = modules.at(y).at(0);
- for (int x = 1, runX = 1; x < size; x++) {
- if (modules.at(y).at(x) != colorX) {
- colorX = modules.at(y).at(x);
- runX = 1;
- } else {
- runX++;
- if (runX == 5)
- result += PENALTY_N1;
- else if (runX > 5)
- result++;
- }
- }
- }
- // Adjacent modules in column having same color
- for (int x = 0; x < size; x++) {
- bool colorY = modules.at(0).at(x);
- for (int y = 1, runY = 1; y < size; y++) {
- if (modules.at(y).at(x) != colorY) {
- colorY = modules.at(y).at(x);
- runY = 1;
- } else {
- runY++;
- if (runY == 5)
- result += PENALTY_N1;
- else if (runY > 5)
- result++;
- }
- }
- }
-
- // 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 = modules.at(y).at(x);
- if ( color == modules.at(y).at(x + 1) &&
- color == modules.at(y + 1).at(x) &&
- color == modules.at(y + 1).at(x + 1))
- result += PENALTY_N2;
- }
- }
-
- // Finder-like pattern in rows
- for (int y = 0; y < size; y++) {
- for (int x = 0, bits = 0; x < size; x++) {
- bits = ((bits << 1) & 0x7FF) | (modules.at(y).at(x) ? 1 : 0);
- if (x >= 10 && (bits == 0x05D || bits == 0x5D0)) // Needs 11 bits accumulated
- result += PENALTY_N3;
- }
- }
- // Finder-like pattern in columns
- for (int x = 0; x < size; x++) {
- for (int y = 0, bits = 0; y < size; y++) {
- bits = ((bits << 1) & 0x7FF) | (modules.at(y).at(x) ? 1 : 0);
- if (y >= 10 && (bits == 0x05D || bits == 0x5D0)) // Needs 11 bits accumulated
- result += PENALTY_N3;
- }
- }
-
- // Balance of black and white modules
- int black = 0;
- for (int y = 0; y < size; y++) {
- for (int x = 0; x < size; x++) {
- if (modules.at(y).at(x))
- black++;
- }
- }
- int total = size * size;
- // Find smallest k such that (45-5k)% <= dark/total <= (55+5k)%
- for (int k = 0; black*20 < (9-k)*total || black*20 > (11+k)*total; k++)
- result += PENALTY_N4;
- return result;
-}
-
-
-std::vector<int> qrcodegen::QrCode::getAlignmentPatternPositions(int ver) {
- if (ver < 1 || ver > 40)
- throw "Version number out of range";
- else if (ver == 1)
- return std::vector<int>();
- else {
- int numAlign = ver / 7 + 2;
- int step;
- if (ver != 32)
- step = (ver * 4 + numAlign * 2 + 1) / (2 * numAlign - 2) * 2; // ceil((size - 13) / (2*numAlign - 2)) * 2
- else // C-C-C-Combo breaker!
- step = 26;
-
- std::vector<int> result;
- int size = ver * 4 + 17;
- 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 qrcodegen::QrCode::getNumRawDataModules(int ver) {
- if (ver < 1 || ver > 40)
- throw "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 -= 18 * 2; // Subtract version information
- }
- return result;
-}
-
-
-int qrcodegen::QrCode::getNumDataCodewords(int ver, const Ecc &ecl) {
- if (ver < 1 || ver > 40)
- throw "Version number out of range";
- return getNumRawDataModules(ver) / 8 - NUM_ERROR_CORRECTION_CODEWORDS[ecl.ordinal][ver];
-}
-
-
-/*---- Tables of constants ----*/
-
-const int qrcodegen::QrCode::PENALTY_N1 = 3;
-const int qrcodegen::QrCode::PENALTY_N2 = 3;
-const int qrcodegen::QrCode::PENALTY_N3 = 40;
-const int qrcodegen::QrCode::PENALTY_N4 = 10;
-
-
-const int16_t qrcodegen::QrCode::NUM_ERROR_CORRECTION_CODEWORDS[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, 36, 40, 48, 60, 72, 80, 96, 104, 120, 132, 144, 168, 180, 196, 224, 224, 252, 270, 300, 312, 336, 360, 390, 420, 450, 480, 510, 540, 570, 570, 600, 630, 660, 720, 750}, // Low
- {-1, 10, 16, 26, 36, 48, 64, 72, 88, 110, 130, 150, 176, 198, 216, 240, 280, 308, 338, 364, 416, 442, 476, 504, 560, 588, 644, 700, 728, 784, 812, 868, 924, 980, 1036, 1064, 1120, 1204, 1260, 1316, 1372}, // Medium
- {-1, 13, 22, 36, 52, 72, 96, 108, 132, 160, 192, 224, 260, 288, 320, 360, 408, 448, 504, 546, 600, 644, 690, 750, 810, 870, 952, 1020, 1050, 1140, 1200, 1290, 1350, 1440, 1530, 1590, 1680, 1770, 1860, 1950, 2040}, // Quartile
- {-1, 17, 28, 44, 64, 88, 112, 130, 156, 192, 224, 264, 308, 352, 384, 432, 480, 532, 588, 650, 700, 750, 816, 900, 960, 1050, 1110, 1200, 1260, 1350, 1440, 1530, 1620, 1710, 1800, 1890, 1980, 2100, 2220, 2310, 2430}, // High
-};
-
-const int8_t qrcodegen::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
-};
-
-
-qrcodegen::QrCode::ReedSolomonGenerator::ReedSolomonGenerator(int degree) :
- coefficients() {
- if (degree < 1 || degree > 255)
- throw "Degree out of range";
-
- // Start with the monomial x^0
- coefficients.resize(degree);
- coefficients.at(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).
- int root = 1;
- for (int i = 0; i < degree; i++) {
- // Multiply the current product by (x - r^i)
- for (size_t j = 0; j < coefficients.size(); j++) {
- coefficients.at(j) = multiply(coefficients.at(j), static_cast<uint8_t>(root));
- if (j + 1 < coefficients.size())
- coefficients.at(j) ^= coefficients.at(j + 1);
- }
- root = (root << 1) ^ ((root >> 7) * 0x11D); // Multiply by 0x02 mod GF(2^8/0x11D)
- }
-}
-
-
-std::vector<uint8_t> qrcodegen::QrCode::ReedSolomonGenerator::getRemainder(const std::vector<uint8_t> &data) const {
- // Compute the remainder by performing polynomial division
- std::vector<uint8_t> result(coefficients.size());
- for (size_t i = 0; i < data.size(); i++) {
- uint8_t factor = data.at(i) ^ result.at(0);
- result.erase(result.begin());
- result.push_back(0);
- for (size_t j = 0; j < result.size(); j++)
- result.at(j) ^= multiply(coefficients.at(j), factor);
- }
- return result;
-}
-
-
-uint8_t qrcodegen::QrCode::ReedSolomonGenerator::multiply(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 "Assertion error";
- return static_cast<uint8_t>(z);
-}