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/*
* Fast QR Code generator library
*
* Copyright (c) Project Nayuki. (MIT License)
* https://www.nayuki.io/page/fast-qr-code-generator-library
*
* 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.
*/
package io.nayuki.fastqrcodegen;
// Stores the parts of a QR Code that depend only on the version number,
// and does not depend on the data or error correction level or mask.
final class QrTemplate {
// Use this memoizer to get instances of this class.
public static final Memoizer<Integer,QrTemplate> MEMOIZER
= new Memoizer<>(QrTemplate::new);
private final int version; // In the range [1, 40].
private final int size; // Derived from version.
final int[] template; // Length and values depend on version.
final int[][] masks; // masks.length == 8, and masks[i].length == template.length.
final int[] dataOutputBitIndexes; // Length and values depend on version.
// Indicates function modules that are not subjected to masking. Discarded when constructor finishes.
// Otherwise when the constructor is running, isFunction.length == template.length.
private int[] isFunction;
// Creates a QR Code template for the given version number.
private QrTemplate(int ver) {
if (ver < QrCode.MIN_VERSION || ver > QrCode.MAX_VERSION)
throw new IllegalArgumentException("Version out of range");
version = ver;
size = version * 4 + 17;
template = new int[(size * size + 31) / 32];
isFunction = new int[template.length];
drawFunctionPatterns(); // Reads and writes fields
masks = generateMasks(); // Reads fields, returns array
dataOutputBitIndexes = generateZigzagScan(); // Reads fields, returns array
isFunction = null;
}
// Reads this object's version field, and draws and marks all function modules.
private void drawFunctionPatterns() {
// Draw horizontal and vertical timing patterns
for (int i = 0; i < size; i++) {
darkenFunctionModule(6, i, ~i & 1);
darkenFunctionModule(i, 6, ~i & 1);
}
// 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 numerous alignment patterns
int[] alignPatPos = getAlignmentPatternPositions();
int numAlign = alignPatPos.length;
for (int i = 0; i < numAlign; i++) {
for (int j = 0; j < numAlign; j++) {
// Don't draw on the three finder corners
if (!(i == 0 && j == 0 || i == 0 && j == numAlign - 1 || i == numAlign - 1 && j == 0))
drawAlignmentPattern(alignPatPos[i], alignPatPos[j]);
}
}
// Draw configuration data
drawDummyFormatBits();
drawVersion();
}
// Draws two blank copies of the format bits.
private void drawDummyFormatBits() {
// Draw first copy
for (int i = 0; i <= 5; i++)
darkenFunctionModule(8, i, 0);
darkenFunctionModule(8, 7, 0);
darkenFunctionModule(8, 8, 0);
darkenFunctionModule(7, 8, 0);
for (int i = 9; i < 15; i++)
darkenFunctionModule(14 - i, 8, 0);
// Draw second copy
for (int i = 0; i < 8; i++)
darkenFunctionModule(size - 1 - i, 8, 0);
for (int i = 8; i < 15; i++)
darkenFunctionModule(8, size - 15 + i, 0);
darkenFunctionModule(8, size - 8, 1); // Always dark
}
// Draws two copies of the version bits (with its own error correction code),
// based on this object's version field, iff 7 <= version <= 40.
private void 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 bits = version << 12 | rem; // uint18
assert bits >>> 18 == 0;
// Draw two copies
for (int i = 0; i < 18; i++) {
int bit = QrCode.getBit(bits, i);
int a = size - 11 + i % 3;
int b = i / 3;
darkenFunctionModule(a, b, bit);
darkenFunctionModule(b, a, bit);
}
}
// Draws a 9*9 finder pattern including the border separator,
// with the center module at (x, y). Modules can be out of bounds.
private void drawFinderPattern(int x, int y) {
for (int dy = -4; dy <= 4; dy++) {
for (int dx = -4; dx <= 4; dx++) {
int dist = Math.max(Math.abs(dx), Math.abs(dy)); // Chebyshev/infinity norm
int xx = x + dx, yy = y + dy;
if (0 <= xx && xx < size && 0 <= yy && yy < size)
darkenFunctionModule(xx, yy, (dist != 2 && dist != 4) ? 1 : 0);
}
}
}
// Draws a 5*5 alignment pattern, with the center module
// at (x, y). All modules must be in bounds.
private void drawAlignmentPattern(int x, int y) {
for (int dy = -2; dy <= 2; dy++) {
for (int dx = -2; dx <= 2; dx++)
darkenFunctionModule(x + dx, y + dy, Math.abs(Math.max(Math.abs(dx), Math.abs(dy)) - 1));
}
}
// Computes and returns a new array of masks, based on this object's various fields.
private int[][] generateMasks() {
int[][] result = new int[8][template.length];
for (int mask = 0; mask < result.length; mask++) {
int[] maskModules = result[mask];
for (int y = 0, i = 0; y < size; y++) {
for (int x = 0; x < size; x++, i++) {
boolean 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 new AssertionError();
}
int bit = (invert ? 1 : 0) & ~getModule(isFunction, x, y);
maskModules[i >>> 5] |= bit << i;
}
}
}
return result;
}
// Computes and returns an array of bit indexes, based on this object's various fields.
private int[] generateZigzagScan() {
int[] result = new int[getNumRawDataModules(version) / 8 * 8];
int i = 0; // Bit index into the data
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
boolean upward = ((right + 1) & 2) == 0;
int y = upward ? size - 1 - vert : vert; // Actual y coordinate
if (getModule(isFunction, x, y) == 0 && i < result.length) {
result[i] = y * size + x;
i++;
}
}
}
}
assert i == result.length;
return result;
}
// Returns the value of the bit at the given coordinates in the given grid.
private int getModule(int[] grid, int x, int y) {
assert 0 <= x && x < size;
assert 0 <= y && y < size;
int i = y * size + x;
return QrCode.getBit(grid[i >>> 5], i);
}
// Marks the module at the given coordinates as a function module.
// Also either sets that module dark or keeps its color unchanged.
private void darkenFunctionModule(int x, int y, int enable) {
assert 0 <= x && x < size;
assert 0 <= y && y < size;
assert enable == 0 || enable == 1;
int i = y * size + x;
template[i >>> 5] |= enable << i;
isFunction[i >>> 5] |= 1 << i;
}
// Returns an ascending list of positions of alignment patterns for this version number.
// Each position is in the range [0,177), and are used on both the x and y axes.
// This could be implemented as lookup table of 40 variable-length lists of unsigned bytes.
private int[] getAlignmentPatternPositions() {
if (version == 1)
return new int[]{};
else {
int numAlign = version / 7 + 2;
int step = (version == 32) ? 26 :
(version * 4 + numAlign * 2 + 1) / (numAlign * 2 - 2) * 2;
int[] result = new int[numAlign];
result[0] = 6;
for (int i = result.length - 1, pos = size - 7; i >= 1; i--, pos -= step)
result[i] = pos;
return result;
}
}
// Returns the number of data bits that can be stored in a QR Code of the given version number, after
// all function modules are excluded. This includes remainder bits, so it might not be a multiple of 8.
// The result is in the range [208, 29648]. This could be implemented as a 40-entry lookup table.
static int getNumRawDataModules(int ver) {
if (ver < QrCode.MIN_VERSION || ver > QrCode.MAX_VERSION)
throw new IllegalArgumentException("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;
}
return result;
}
}
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