QRCODE

package io.nayuki.fastqrcodegen;

import java.util.Arrays;
import java.util.Objects;


// An appendable sequence of bits (0s and 1s), mainly used by QrSegment.
final class BitBuffer {
	
	/*---- Fields ----*/
	
	int[] data;  // In each 32-bit word, bits are filled from top down.
	
	int bitLength;  // Always non-negative.
	
	
	
	/*---- Constructor ----*/
	
	// Creates an empty bit buffer.
	public BitBuffer() {
		data = new int[64];
		bitLength = 0;
	}
	
	
	
	/*---- Methods ----*/
	
	// Returns the bit at the given index, yielding 0 or 1.
	public int getBit(int index) {
		if (index < 0 || index >= bitLength)
			throw new IndexOutOfBoundsException();
		return (data[index >>> 5] >>> ~index) & 1;
	}
	
	
	// Returns a new array representing this buffer's bits packed into
	// bytes in big endian. The current bit length must be a multiple of 8.
	public byte[] getBytes() {
		if (bitLength % 8 != 0)
			throw new IllegalStateException("Data is not a whole number of bytes");
		byte[] result = new byte[bitLength / 8];
		for (int i = 0; i < result.length; i++)
			result[i] = (byte)(data[i >>> 2] >>> (~i << 3));
		return result;
	}
	
	
	// Appends the given number of low-order bits of the given value
	// to this buffer. Requires 0 <= len <= 31 and 0 <= val < 2^len.
	public void appendBits(int val, int len) {
		if (len < 0 || len > 31 || val >>> len != 0)
			throw new IllegalArgumentException("Value out of range");
		if (len > Integer.MAX_VALUE - bitLength)
			throw new IllegalStateException("Maximum length reached");
		
		if (bitLength + len + 1 > data.length << 5)
			data = Arrays.copyOf(data, data.length * 2);
		assert bitLength + len <= data.length << 5;
		
		int remain = 32 - (bitLength & 0x1F);
		assert 1 <= remain && remain <= 32;
		if (remain < len) {
			data[bitLength >>> 5] |= val >>> (len - remain);
			bitLength += remain;
			assert (bitLength & 0x1F) == 0;
			len -= remain;
			val &= (1 << len) - 1;
			remain = 32;
		}
		data[bitLength >>> 5] |= val << (remain - len);
		bitLength += len;
	}
	
	
	// Appends to this buffer the sequence of bits represented by the given
	// word array and given bit length. Requires 0 <= len <= 32 * vals.length.
	public void appendBits(int[] vals, int len) {
		Objects.requireNonNull(vals);
		if (len == 0)
			return;
		if (len < 0 || len > vals.length * 32L)
			throw new IllegalArgumentException("Value out of range");
		int wholeWords = len / 32;
		int tailBits = len % 32;
		if (tailBits > 0 && vals[wholeWords] << tailBits != 0)
			throw new IllegalArgumentException("Last word must have low bits clear");
		if (len > Integer.MAX_VALUE - bitLength)
			throw new IllegalStateException("Maximum length reached");
		
		while (bitLength + len > data.length * 32)
			data = Arrays.copyOf(data, data.length * 2);
		
		int shift = bitLength % 32;
		if (shift == 0) {
			System.arraycopy(vals, 0, data, bitLength / 32, (len + 31) / 32);
			bitLength += len;
		} else {
			for (int i = 0; i < wholeWords; i++) {
				int word = vals[i];
				data[bitLength >>> 5] |= word >>> shift;
				bitLength += 32;
				data[bitLength >>> 5] = word << (32 - shift);
			}
			if (tailBits > 0)
				appendBits(vals[wholeWords] >>> (32 - tailBits), tailBits);
		}
	}
	
}

/* 
 * 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;


/**
 * Thrown when the supplied data does not fit any QR Code version. Ways to handle this exception include:
 * <ul>
 *   <li><p>Decrease the error correction level if it was greater than {@code Ecc.LOW}.</p></li>
 *   <li><p>If the advanced {@code encodeSegments()} function with 6 arguments or the
 *     {@code makeSegmentsOptimally()} function was called, then increase the maxVersion argument
 *     if it was less than {@link QrCode#MAX_VERSION}. (This advice does not apply to the other
 *     factory functions because they search all versions up to {@code QrCode.MAX_VERSION}.)</p></li>
 *   <li><p>Split the text data into better or optimal segments in order to reduce the number of
 *     bits required. (See {@link QrSegmentAdvanced#makeSegmentsOptimally(String,QrCode.Ecc,int,int)
 *     QrSegmentAdvanced.makeSegmentsOptimally()}.)</p></li>
 *   <li><p>Change the text or binary data to be shorter.</p></li>
 *   <li><p>Change the text to fit the character set of a particular segment mode (e.g. alphanumeric).</p></li>
 *   <li><p>Propagate the error upward to the caller/user.</p></li>
 * </ul>
 * @see QrCode#encodeText(String, QrCode.Ecc)
 * @see QrCode#encodeBinary(byte[], QrCode.Ecc)
 * @see QrCode#encodeSegments(java.util.List, QrCode.Ecc)
 * @see QrCode#encodeSegments(java.util.List, QrCode.Ecc, int, int, int, boolean)
 * @see QrSegmentAdvanced#makeSegmentsOptimally(String, QrCode.Ecc, int, int)
 */
public class DataTooLongException extends IllegalArgumentException {
	
	public DataTooLongException() {}
	
	
	public DataTooLongException(String msg) {
		super(msg);
	}
	
}

/* 
 * 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;

import java.lang.ref.SoftReference;
import java.util.HashSet;
import java.util.Map;
import java.util.Set;
import java.util.concurrent.ConcurrentHashMap;
import java.util.function.Function;


// A thread-safe cache based on soft references.
final class Memoizer<T,R> {
	
	private final Function<T,R> function;
	Map<T,SoftReference<R>> cache = new ConcurrentHashMap<>();
	private Set<T> pending = new HashSet<>();
	
	
	// Creates a memoizer based on the given function that takes one input to compute an output.
	public Memoizer(Function<T,R> func) {
		function = func;
	}
	
	
	// Computes function.apply(arg) or returns a cached copy of a previous call.
	public R get(T arg) {
		// Non-blocking fast path
		{
			SoftReference<R> ref = cache.get(arg);
			if (ref != null) {
				R result = ref.get();
				if (result != null)
					return result;
			}
		}
		
		// Sequential slow path
		while (true) {
			synchronized(this) {
				SoftReference<R> ref = cache.get(arg);
				if (ref != null) {
					R result = ref.get();
					if (result != null)
						return result;
					cache.remove(arg);
				}
				assert !cache.containsKey(arg);
				
				if (pending.add(arg))
					break;
				
				try {
					this.wait();
				} catch (InterruptedException e) {
					throw new RuntimeException(e);
				}
			}
		}
		
		try {
			R result = function.apply(arg);
			cache.put(arg, new SoftReference<>(result));
			return result;
		} finally {
			synchronized(this) {
				pending.remove(arg);
				this.notifyAll();
			}
		}
	}
	
}

/**
 * Generates QR Codes from text strings and byte arrays.
 * 
 * <p>This project aims to be the best, clearest QR Code generator library. The primary goals are flexible options and absolute correctness. Secondary goals are compact implementation size and good documentation comments.</p>
 * <p>Home page for this fast library with design explanation and benchmarks: <a href="https://www.nayuki.io/page/fast-qr-code-generator-library">https://www.nayuki.io/page/fast-qr-code-generator-library</a></p>
 * <p>Home page for the main project with live JavaScript demo, extensive descriptions, and competitor comparisons: <a href="https://www.nayuki.io/page/qr-code-generator-library">https://www.nayuki.io/page/qr-code-generator-library</a></p>
 * 
 * <h2>Features</h2>
 * <p>Core features:</p>
 * <ul>
 *   <li><p>Approximately 1.5× to 10× faster than other Java implementation</p></li>
 *   <li><p>Shorter code but more documentation comments compared to competing libraries</p></li>
 *   <li><p>Supports encoding all 40 versions (sizes) and all 4 error correction levels, as per the QR Code Model 2 standard</p></li>
 *   <li><p>Output format: Raw modules/pixels of the QR symbol</p></li>
 *   <li><p>Detects finder-like penalty patterns more accurately than other implementations</p></li>
 *   <li><p>Encodes numeric and special-alphanumeric text in less space than general text</p></li>
 *   <li><p>Encodes Japanese Unicode text in kanji mode to save a lot of space compared to UTF-8 bytes</p></li>
 *   <li><p>Computes optimal segment mode switching for text with mixed numeric/alphanumeric/general/kanji parts</p></li>
 *   <li><p>Open-source code under the permissive MIT License</p></li>
 * </ul>
 * <p>Manual parameters:</p>
 * <ul>
 *   <li><p>User can specify minimum and maximum version numbers allowed, then library will automatically choose smallest version in the range that fits the data</p></li>
 *   <li><p>User can specify mask pattern manually, otherwise library will automatically evaluate all 8 masks and select the optimal one</p></li>
 *   <li><p>User can specify absolute error correction level, or allow the library to boost it if it doesn't increase the version number</p></li>
 *   <li><p>User can create a list of data segments manually and add ECI segments</p></li>
 * </ul>
 * <p>More information about QR Code technology and this library's design can be found on the project home page.</p>
 * 
 * <h2>Examples</h2>
 * <p>Simple operation:</p>
 * <pre style="margin-left:2em">import java.awt.image.BufferedImage;
 *import java.io.File;
 *import javax.imageio.ImageIO;
 *import io.nayuki.fastqrcodegen.*;
 *
 *QrCode qr = QrCode.encodeText("Hello, world!", QrCode.Ecc.MEDIUM);
 *BufferedImage img = toImage(qr, 4, 10);  // See QrCodeGeneratorDemo
 *ImageIO.write(img, "png", new File("qr-code.png"));</pre>
 * <p>Manual operation:</p>
 * <pre style="margin-left:2em">import java.util.List;
 *import io.nayuki.fastqrcodegen.*;
 *
 *List<QrSegment> segs = QrSegment.makeSegments("3141592653589793238462643383");
 *QrCode qr = QrCode.encodeSegments(segs, QrCode.Ecc.HIGH, 5, 5, 2, false);
 *for (int y = 0; y < qr.size; y++) {
 *    for (int x = 0; x < qr.size; x++) {
 *        (... paint qr.getModule(x, y) ...)
 *    }
 *}</pre>
 */
package io.nayuki.fastqrcodegen;

/* 
 * 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;

import java.util.Arrays;
import java.util.List;
import java.util.Objects;


/**
 * A QR Code symbol, which is a type of two-dimension barcode.
 * Invented by Denso Wave and described in the ISO/IEC 18004 standard.
 * <p>Instances of this class represent an immutable square grid of dark and light cells.
 * The class provides static factory functions to create a QR Code from text or binary data.
 * The class covers the QR Code Model 2 specification, supporting all versions (sizes)
 * from 1 to 40, all 4 error correction levels, and 4 character encoding modes.</p>
 * <p>Ways to create a QR Code object:</p>
 * <ul>
 *   <li><p>High level: Take the payload data and call {@link QrCode#encodeText(String,Ecc)}
 *     or {@link QrCode#encodeBinary(byte[],Ecc)}.</p></li>
 *   <li><p>Mid level: Custom-make the list of {@link QrSegment segments}
 *     and call {@link QrCode#encodeSegments(List,Ecc)} or
 *     {@link QrCode#encodeSegments(List,Ecc,int,int,int,boolean)}</p></li>
 *   <li><p>Low level: Custom-make the array of data codeword bytes (including segment headers and
 *     final padding, excluding error correction codewords), supply the appropriate version number,
 *     and call the {@link QrCode#QrCode(int,Ecc,byte[],int) constructor}.</p></li>
 * </ul>
 * <p>(Note that all ways require supplying the desired error correction level.)</p>
 * @see QrSegment
 */
public final class QrCode {
	
	/*---- Static factory functions (high level) ----*/
	
	/**
	 * Returns a QR Code representing the specified Unicode text string at the specified error correction level.
	 * As a conservative upper bound, this function is guaranteed to succeed for strings that have 738 or fewer
	 * Unicode code points (not UTF-16 code units) if the low error correction level is used. The smallest possible
	 * QR Code version is automatically chosen for the output. The ECC level of the result may be higher than the
	 * ecl argument if it can be done without increasing the version.
	 * @param text the text to be encoded (not {@code null}), which can be any Unicode string
	 * @param ecl the error correction level to use (not {@code null}) (boostable)
	 * @return a QR Code (not {@code null}) representing the text
	 * @throws NullPointerException if the text or error correction level is {@code null}
	 * @throws DataTooLongException if the text fails to fit in the
	 * largest version QR Code at the ECL, which means it is too long
	 */
	public static QrCode encodeText(String text, Ecc ecl) {
		Objects.requireNonNull(text);
		Objects.requireNonNull(ecl);
		List<QrSegment> segs = QrSegment.makeSegments(text);
		return encodeSegments(segs, ecl);
	}
	
	
	/**
	 * Returns a QR Code representing the specified binary data at the specified error correction level.
	 * This function always encodes using the binary segment mode, not any text mode. The maximum number of
	 * bytes allowed is 2953. The smallest possible QR Code version is automatically chosen for the output.
	 * The ECC level of the result may be higher than the ecl argument if it can be done without increasing the version.
	 * @param data the binary data to encode (not {@code null})
	 * @param ecl the error correction level to use (not {@code null}) (boostable)
	 * @return a QR Code (not {@code null}) representing the data
	 * @throws NullPointerException if the data or error correction level is {@code null}
	 * @throws DataTooLongException if the data fails to fit in the
	 * largest version QR Code at the ECL, which means it is too long
	 */
	public static QrCode encodeBinary(byte[] data, Ecc ecl) {
		Objects.requireNonNull(data);
		Objects.requireNonNull(ecl);
		QrSegment seg = QrSegment.makeBytes(data);
		return encodeSegments(Arrays.asList(seg), ecl);
	}
	
	
	/*---- Static factory functions (mid level) ----*/
	
	/**
	 * Returns a QR Code representing the specified segments at the specified error correction
	 * level. The smallest possible QR Code version is automatically chosen for the output. The ECC level
	 * of the result may be higher than the ecl argument if it can be done without increasing the version.
	 * <p>This function allows the user to create a custom sequence of segments that switches
	 * between modes (such as alphanumeric and byte) to encode text in less space.
	 * This is a mid-level API; the high-level API is {@link #encodeText(String,Ecc)}
	 * and {@link #encodeBinary(byte[],Ecc)}.</p>
	 * @param segs the segments to encode
	 * @param ecl the error correction level to use (not {@code null}) (boostable)
	 * @return a QR Code (not {@code null}) representing the segments
	 * @throws NullPointerException if the list of segments, any segment, or the error correction level is {@code null}
	 * @throws DataTooLongException if the segments fail to fit in the
	 * largest version QR Code at the ECL, which means they are too long
	 */
	public static QrCode encodeSegments(List<QrSegment> segs, Ecc ecl) {
		return encodeSegments(segs, ecl, MIN_VERSION, MAX_VERSION, -1, true);
	}
	
	
	/**
	 * Returns a QR Code representing the specified segments with the specified encoding parameters.
	 * The smallest possible QR Code version within the specified range is automatically
	 * chosen for the output. Iff boostEcl is {@code true}, then the ECC level of the
	 * result may be higher than the ecl argument if it can be done without increasing
	 * the version. The mask number is either between 0 to 7 (inclusive) to force that
	 * mask, or −1 to automatically choose an appropriate mask (which may be slow).
	 * <p>This function allows the user to create a custom sequence of segments that switches
	 * between modes (such as alphanumeric and byte) to encode text in less space.
	 * This is a mid-level API; the high-level API is {@link #encodeText(String,Ecc)}
	 * and {@link #encodeBinary(byte[],Ecc)}.</p>
	 * @param segs the segments to encode
	 * @param ecl the error correction level to use (not {@code null}) (boostable)
	 * @param minVersion the minimum allowed version of the QR Code (at least 1)
	 * @param maxVersion the maximum allowed version of the QR Code (at most 40)
	 * @param mask the mask number to use (between 0 and 7 (inclusive)), or −1 for automatic mask
	 * @param boostEcl increases the ECC level as long as it doesn't increase the version number
	 * @return a QR Code (not {@code null}) representing the segments
	 * @throws NullPointerException if the list of segments, any segment, or the error correction level is {@code null}
	 * @throws IllegalArgumentException if 1 ≤ minVersion ≤ maxVersion ≤ 40
	 * or −1 ≤ mask ≤ 7 is violated
	 * @throws DataTooLongException if the segments fail to fit in
	 * the maxVersion QR Code at the ECL, which means they are too long
	 */
	public static QrCode encodeSegments(List<QrSegment> segs, Ecc ecl, int minVersion, int maxVersion, int mask, boolean boostEcl) {
		Objects.requireNonNull(segs);
		Objects.requireNonNull(ecl);
		if (!(MIN_VERSION <= minVersion && minVersion <= maxVersion && maxVersion <= MAX_VERSION) || mask < -1 || mask > 7)
			throw new IllegalArgumentException("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
				String msg = "Segment too long";
				if (dataUsedBits != -1)
					msg = String.format("Data length = %d bits, Max capacity = %d bits", dataUsedBits, dataCapacityBits);
				throw new DataTooLongException(msg);
			}
		}
		assert dataUsedBits != -1;
		
		// Increase the error correction level while the data still fits in the current version number
		for (Ecc newEcl : Ecc.values()) {  // From low to high
			if (boostEcl && dataUsedBits <= getNumDataCodewords(version, newEcl) * 8)
				ecl = newEcl;
		}
		
		// Concatenate all segments to create the data bit string
		BitBuffer bb = new BitBuffer();
		for (QrSegment seg : segs) {
			bb.appendBits(seg.mode.modeBits, 4);
			bb.appendBits(seg.numChars, seg.mode.numCharCountBits(version));
			bb.appendBits(seg.data, seg.bitLength);
		}
		assert bb.bitLength == dataUsedBits;
		
		// Add terminator and pad up to a byte if applicable
		int dataCapacityBits = getNumDataCodewords(version, ecl) * 8;
		assert bb.bitLength <= dataCapacityBits;
		bb.appendBits(0, Math.min(4, dataCapacityBits - bb.bitLength));
		bb.appendBits(0, (8 - bb.bitLength % 8) % 8);
		assert bb.bitLength % 8 == 0;
		
		// Pad with alternating bytes until data capacity is reached
		for (int padByte = 0xEC; bb.bitLength < dataCapacityBits; padByte ^= 0xEC ^ 0x11)
			bb.appendBits(padByte, 8);
		
		// Create the QR Code object
		return new QrCode(version, ecl, bb.getBytes(), mask);
	}
	
	
	
	/*---- Instance fields ----*/
	
	// Public immutable scalar parameters:
	
	/** The version number of this QR Code, which is between 1 and 40 (inclusive).
	 * This determines the size of this barcode. */
	public final int version;
	
	/** The width and height of this QR Code, measured in modules, between
	 * 21 and 177 (inclusive). This is equal to version × 4 + 17. */
	public final int size;
	
	/** The error correction level used in this QR Code, which is not {@code null}. */
	public final Ecc errorCorrectionLevel;
	
	/** The index of the mask pattern used in this QR Code, which is between 0 and 7 (inclusive).
	 * <p>Even if a QR Code is created with automatic masking requested (mask =
	 * −1), the resulting object still has a mask value between 0 and 7. */
	public final int mask;
	
	// Private grid of modules of this QR Code, packed tightly into bits.
	// Immutable after constructor finishes. Accessed through getModule().
	private final int[] modules;
	
	
	
	/*---- Constructor (low level) ----*/
	
	/**
	 * Constructs a QR Code with the specified version number,
	 * error correction level, data codeword bytes, and mask number.
	 * <p>This is a low-level API that most users should not use directly. A mid-level
	 * API is the {@link #encodeSegments(List,Ecc,int,int,int,boolean)} function.</p>
	 * @param ver the version number to use, which must be in the range 1 to 40 (inclusive)
	 * @param ecl the error correction level to use
	 * @param dataCodewords the bytes representing segments to encode (without ECC)
	 * @param msk the mask pattern to use, which is either −1 for automatic choice or from 0 to 7 for fixed choice
	 * @throws NullPointerException if the byte array or error correction level is {@code null}
	 * @throws IllegalArgumentException if the version or mask value is out of range,
	 * or if the data is the wrong length for the specified version and error correction level
	 */
	public QrCode(int ver, Ecc ecl, byte[] dataCodewords, int msk) {
		// Check arguments and initialize fields
		if (ver < MIN_VERSION || ver > MAX_VERSION)
			throw new IllegalArgumentException("Version value out of range");
		if (msk < -1 || msk > 7)
			throw new IllegalArgumentException("Mask value out of range");
		version = ver;
		size = ver * 4 + 17;
		errorCorrectionLevel = Objects.requireNonNull(ecl);
		Objects.requireNonNull(dataCodewords);
		
		QrTemplate tpl = QrTemplate.MEMOIZER.get(ver);
		modules = tpl.template.clone();
		
		// Compute ECC, draw modules, do masking
		byte[] allCodewords = addEccAndInterleave(dataCodewords);
		drawCodewords(tpl.dataOutputBitIndexes, allCodewords);
		mask = handleConstructorMasking(tpl.masks, msk);
	}
	
	
	
	/*---- Public instance methods ----*/
	
	/**
	 * Returns the color of the module (pixel) at the specified coordinates, which is {@code false}
	 * for light or {@code true} for dark. The top left corner has the coordinates (x=0, y=0).
	 * If the specified coordinates are out of bounds, then {@code false} (light) is returned.
	 * @param x the x coordinate, where 0 is the left edge and size−1 is the right edge
	 * @param y the y coordinate, where 0 is the top edge and size−1 is the bottom edge
	 * @return {@code true} if the coordinates are in bounds and the module
	 * at that location is dark, or {@code false} (light) otherwise
	 */
	public boolean getModule(int x, int y) {
		if (0 <= x && x < size && 0 <= y && y < size) {
			int i = y * size + x;
			return getBit(modules[i >>> 5], i) != 0;
		} else
			return false;
	}
	
	
	
	/*---- Private helper methods for constructor: Drawing function modules ----*/
	
	// 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.
	private void drawFormatBits(int msk) {
		// Calculate error correction code and pack bits
		int data = errorCorrectionLevel.formatBits << 3 | msk;  // errCorrLvl is uint2, mask is uint3
		int rem = data;
		for (int i = 0; i < 10; i++)
			rem = (rem << 1) ^ ((rem >>> 9) * 0x537);
		int bits = (data << 10 | rem) ^ 0x5412;  // uint15
		assert bits >>> 15 == 0;
		
		// Draw first copy
		for (int i = 0; i <= 5; i++)
			setModule(8, i, getBit(bits, i));
		setModule(8, 7, getBit(bits, 6));
		setModule(8, 8, getBit(bits, 7));
		setModule(7, 8, getBit(bits, 8));
		for (int i = 9; i < 15; i++)
			setModule(14 - i, 8, getBit(bits, i));
		
		// Draw second copy
		for (int i = 0; i < 8; i++)
			setModule(size - 1 - i, 8, getBit(bits, i));
		for (int i = 8; i < 15; i++)
			setModule(8, size - 15 + i, getBit(bits, i));
		setModule(8, size - 8, 1);  // Always dark
	}
	
	
	// Sets the module at the given coordinates to the given color.
	// Only used by the constructor. Coordinates must be in bounds.
	private void setModule(int x, int y, int dark) {
		assert 0 <= x && x < size;
		assert 0 <= y && y < size;
		assert dark == 0 || dark == 1;
		int i = y * size + x;
		modules[i >>> 5] &= ~(1 << i);
		modules[i >>> 5] |= dark << i;
	}
	
	
	/*---- Private helper methods for constructor: Codewords and masking ----*/
	
	// Returns a new byte string representing the given data with the appropriate error correction
	// codewords appended to it, based on this object's version and error correction level.
	private byte[] addEccAndInterleave(byte[] data) {
		Objects.requireNonNull(data);
		if (data.length != getNumDataCodewords(version, errorCorrectionLevel))
			throw new IllegalArgumentException();
		
		// Calculate parameter numbers
		int numBlocks = NUM_ERROR_CORRECTION_BLOCKS[errorCorrectionLevel.ordinal()][version];
		int blockEccLen = ECC_CODEWORDS_PER_BLOCK  [errorCorrectionLevel.ordinal()][version];
		int rawCodewords = QrTemplate.getNumRawDataModules(version) / 8;
		int numShortBlocks = numBlocks - rawCodewords % numBlocks;
		int shortBlockDataLen = rawCodewords / numBlocks - blockEccLen;
		
		// Split data into blocks, calculate ECC, and interleave
		// (not concatenate) the bytes into a single sequence
		byte[] result = new byte[rawCodewords];
		ReedSolomonGenerator rs = ReedSolomonGenerator.MEMOIZER.get(blockEccLen);
		byte[] ecc = new byte[blockEccLen];  // Temporary storage per iteration
		for (int i = 0, k = 0; i < numBlocks; i++) {
			int datLen = shortBlockDataLen + (i < numShortBlocks ? 0 : 1);
			rs.getRemainder(data, k, datLen, ecc);
			for (int j = 0, l = i; j < datLen; j++, k++, l += numBlocks) {  // Copy data
				if (j == shortBlockDataLen)
					l -= numShortBlocks;
				result[l] = data[k];
			}
			for (int j = 0, l = data.length + i; j < blockEccLen; j++, l += numBlocks)  // Copy ECC
				result[l] = ecc[j];
		}
		return result;
	}
	
	
	// Draws the given sequence of 8-bit codewords (data and error correction)
	// onto the entire data area of this QR Code, based on the given bit indexes.
	private void drawCodewords(int[] dataOutputBitIndexes, byte[] allCodewords) {
		Objects.requireNonNull(dataOutputBitIndexes);
		Objects.requireNonNull(allCodewords);
		if (allCodewords.length * 8 != dataOutputBitIndexes.length)
			throw new IllegalArgumentException();
		for (int i = 0; i < dataOutputBitIndexes.length; i++) {
			int j = dataOutputBitIndexes[i];
			int bit = getBit(allCodewords[i >>> 3], ~i & 7);
			modules[j >>> 5] |= bit << j;
		}
	}
	
	
	// XORs the codeword modules in this QR Code with the given mask pattern.
	// The function modules must be marked and the codeword bits must be drawn
	// before masking. Due to the arithmetic of XOR, calling applyMask() with
	// the same mask value a second time will undo the mask. A final well-formed
	// QR Code needs exactly one (not zero, two, etc.) mask applied.
	private void applyMask(int[] msk) {
		if (msk.length != modules.length)
			throw new IllegalArgumentException();
		for (int i = 0; i < msk.length; i++)
			modules[i] ^= msk[i];
	}
	
	
	// A messy helper function for the constructor. This QR Code must be in an unmasked state when this
	// method is called. The 'mask' argument is the requested mask, which is -1 for auto or 0 to 7 for fixed.
	// This method applies and returns the actual mask chosen, from 0 to 7.
	private int handleConstructorMasking(int[][] masks, int msk) {
		if (msk == -1) {  // Automatically choose best mask
			int minPenalty = Integer.MAX_VALUE;
			for (int i = 0; i < 8; i++) {
				applyMask(masks[i]);
				drawFormatBits(i);
				int penalty = getPenaltyScore();
				if (penalty < minPenalty) {
					msk = i;
					minPenalty = penalty;
				}
				applyMask(masks[i]);  // Undoes the mask due to XOR
			}
		}
		assert 0 <= msk && msk <= 7;
		applyMask(masks[msk]);  // Apply the final choice of mask
		drawFormatBits(msk);  // Overwrite old format bits
		return msk;  // The caller shall assign this value to the final-declared field
	}
	
	
	// 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.
	private int getPenaltyScore() {
		int result = 0;
		int dark = 0;
		int[] runHistory = new int[7];
		
		// Iterate over adjacent pairs of rows
		for (int index = 0, downIndex = size, end = size * size; index < end; ) {
			int runColor = 0;
			int runX = 0;
			Arrays.fill(runHistory, 0);
			int curRow = 0;
			int nextRow = 0;
			for (int x = 0; x < size; x++, index++, downIndex++) {
				int c = getBit(modules[index >>> 5], index);
				if (c == runColor) {
					runX++;
					if (runX == 5)
						result += PENALTY_N1;
					else if (runX > 5)
						result++;
				} else {
					finderPenaltyAddHistory(runX, runHistory);
					if (runColor == 0)
						result += finderPenaltyCountPatterns(runHistory) * PENALTY_N3;
					runColor = c;
					runX = 1;
				}
				dark += c;
				if (downIndex < end) {
					curRow = ((curRow << 1) | c) & 3;
					nextRow = ((nextRow << 1) | getBit(modules[downIndex >>> 5], downIndex)) & 3;
					// 2*2 blocks of modules having same color
					if (x >= 1 && (curRow == 0 || curRow == 3) && curRow == nextRow)
						result += PENALTY_N2;
				}
			}
			result += finderPenaltyTerminateAndCount(runColor, runX, runHistory) * PENALTY_N3;
		}
		
		// Iterate over single columns
		for (int x = 0; x < size; x++) {
			int runColor = 0;
			int runY = 0;
			Arrays.fill(runHistory, 0);
			for (int y = 0, index = x; y < size; y++, index += size) {
				int c = getBit(modules[index >>> 5], index);
				if (c == runColor) {
					runY++;
					if (runY == 5)
						result += PENALTY_N1;
					else if (runY > 5)
						result++;
				} else {
					finderPenaltyAddHistory(runY, runHistory);
					if (runColor == 0)
						result += finderPenaltyCountPatterns(runHistory) * PENALTY_N3;
					runColor = c;
					runY = 1;
				}
			}
			result += finderPenaltyTerminateAndCount(runColor, runY, runHistory) * PENALTY_N3;
		}
		
		// Balance of dark and light modules
		int total = size * size;  // Note that size is odd, so dark/total != 1/2
		// Compute the smallest integer k >= 0 such that (45-5k)% <= dark/total <= (55+5k)%
		int k = (Math.abs(dark * 20 - total * 10) + total - 1) / total - 1;
		result += k * PENALTY_N4;
		return result;
	}
	
	
	
	/*---- Private helper functions ----*/
	
	// Returns the number of 8-bit data (i.e. not error correction) codewords contained in any
	// QR Code of the given version number and error correction level, with remainder bits discarded.
	// This stateless pure function could be implemented as a (40*4)-cell lookup table.
	static int getNumDataCodewords(int ver, Ecc ecl) {
		return QrTemplate.getNumRawDataModules(ver) / 8
			- ECC_CODEWORDS_PER_BLOCK    [ecl.ordinal()][ver]
			* NUM_ERROR_CORRECTION_BLOCKS[ecl.ordinal()][ver];
	}
	
	
	// Can only be called immediately after a light run is added, and
	// returns either 0, 1, or 2. A helper function for getPenaltyScore().
	private int finderPenaltyCountPatterns(int[] runHistory) {
		int n = runHistory[1];
		assert n <= size * 3;
		boolean core = n > 0 && runHistory[2] == n && runHistory[3] == n * 3 && runHistory[4] == n && runHistory[5] == n;
		return (core && runHistory[0] >= n * 4 && runHistory[6] >= n ? 1 : 0)
		     + (core && runHistory[6] >= n * 4 && runHistory[0] >= n ? 1 : 0);
	}
	
	
	// Must be called at the end of a line (row or column) of modules. A helper function for getPenaltyScore().
	private int finderPenaltyTerminateAndCount(int currentRunColor, int currentRunLength, int[] runHistory) {
		if (currentRunColor == 1) {  // Terminate dark run
			finderPenaltyAddHistory(currentRunLength, runHistory);
			currentRunLength = 0;
		}
		currentRunLength += size;  // Add light border to final run
		finderPenaltyAddHistory(currentRunLength, runHistory);
		return finderPenaltyCountPatterns(runHistory);
	}
	
	
	// Pushes the given value to the front and drops the last value. A helper function for getPenaltyScore().
	private void finderPenaltyAddHistory(int currentRunLength, int[] runHistory) {
		if (runHistory[0] == 0)
			currentRunLength += size;  // Add light border to initial run
		System.arraycopy(runHistory, 0, runHistory, 1, runHistory.length - 1);
		runHistory[0] = currentRunLength;
	}
	
	
	// Returns 0 or 1 based on the (i mod 32)'th bit of x.
	static int getBit(int x, int i) {
		return (x >>> i) & 1;
	}
	
	
	/*---- Constants and tables ----*/
	
	/** The minimum version number  (1) supported in the QR Code Model 2 standard. */
	public static final int MIN_VERSION =  1;
	
	/** The maximum version number (40) supported in the QR Code Model 2 standard. */
	public static final int MAX_VERSION = 40;
	
	
	// For use in getPenaltyScore(), when evaluating which mask is best.
	private static final int PENALTY_N1 =  3;
	private static final int PENALTY_N2 =  3;
	private static final int PENALTY_N3 = 40;
	private static final int PENALTY_N4 = 10;
	
	
	private static final byte[][] ECC_CODEWORDS_PER_BLOCK = {
		// 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
	};
	
	private static final byte[][] NUM_ERROR_CORRECTION_BLOCKS = {
		// 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
	};
	
	
	
	/*---- Public helper enumeration ----*/
	
	/**
	 * The error correction level in a QR Code symbol.
	 */
	public enum Ecc {
		// Must be declared in ascending order of error protection
		// so that the implicit ordinal() and values() work properly
		/** The QR Code can tolerate about  7% erroneous codewords. */ LOW(1),
		/** The QR Code can tolerate about 15% erroneous codewords. */ MEDIUM(0),
		/** The QR Code can tolerate about 25% erroneous codewords. */ QUARTILE(3),
		/** The QR Code can tolerate about 30% erroneous codewords. */ HIGH(2);
		
		// In the range 0 to 3 (unsigned 2-bit integer).
		final int formatBits;
		
		// Constructor.
		private Ecc(int fb) {
			formatBits = fb;
		}
	}
	
}

/* 
 * Fast QR Code generator demo
 * 
 * Run this command-line program with no arguments. The program creates/overwrites a bunch of
 * PNG and SVG files in the current working directory to demonstrate the creation of QR Codes.
 * 
 * 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;

import java.awt.image.BufferedImage;
import java.io.File;
import java.io.IOException;
import java.nio.charset.StandardCharsets;
import java.nio.file.Files;
import java.util.Arrays;
import java.util.List;
import java.util.Objects;
import javax.imageio.ImageIO;


public final class QrCodeGeneratorDemo {
	
	// The main application program.
	public static void main(String[] args) throws IOException {
		doBasicDemo();
		doVarietyDemo();
		doSegmentDemo();
		doMaskDemo();
	}
	
	
	
	/*---- Demo suite ----*/
	
	// Creates a single QR Code, then writes it to a PNG file and an SVG file.
	private static void doBasicDemo() throws IOException {
		String text = "Hello, world!";          // User-supplied Unicode text
		QrCode.Ecc errCorLvl = QrCode.Ecc.LOW;  // Error correction level
		
		QrCode qr = QrCode.encodeText(text, errCorLvl);  // Make the QR Code symbol
		
		BufferedImage img = toImage(qr, 10, 4);          // Convert to bitmap image
		File imgFile = new File("hello-world-QR.png");   // File path for output
		ImageIO.write(img, "png", imgFile);              // Write image to file
		
		String svg = toSvgString(qr, 4, "#FFFFFF", "#000000");  // Convert to SVG XML code
		File svgFile = new File("hello-world-QR.svg");          // File path for output
		Files.write(svgFile.toPath(),                           // Write image to file
			svg.getBytes(StandardCharsets.UTF_8));
	}
	
	
	// Creates a variety of QR Codes that exercise different features of the library, and writes each one to file.
	private static void doVarietyDemo() throws IOException {
		QrCode qr;
		
		// Numeric mode encoding (3.33 bits per digit)
		qr = QrCode.encodeText("314159265358979323846264338327950288419716939937510", QrCode.Ecc.MEDIUM);
		writePng(toImage(qr, 13, 1), "pi-digits-QR.png");
		
		// Alphanumeric mode encoding (5.5 bits per character)
		qr = QrCode.encodeText("DOLLAR-AMOUNT:$39.87 PERCENTAGE:100.00% OPERATIONS:+-*/", QrCode.Ecc.HIGH);
		writePng(toImage(qr, 10, 2), "alphanumeric-QR.png");
		
		// Unicode text as UTF-8
		qr = QrCode.encodeText("こんにちwa、世界! αβγδ", QrCode.Ecc.QUARTILE);
		writePng(toImage(qr, 10, 3), "unicode-QR.png");
		
		// Moderately large QR Code using longer text (from Lewis Carroll's Alice in Wonderland)
		qr = QrCode.encodeText(
			"Alice was beginning to get very tired of sitting by her sister on the bank, "
			+ "and of having nothing to do: once or twice she had peeped into the book her sister was reading, "
			+ "but it had no pictures or conversations in it, 'and what is the use of a book,' thought Alice "
			+ "'without pictures or conversations?' So she was considering in her own mind (as well as she could, "
			+ "for the hot day made her feel very sleepy and stupid), whether the pleasure of making a "
			+ "daisy-chain would be worth the trouble of getting up and picking the daisies, when suddenly "
			+ "a White Rabbit with pink eyes ran close by her.", QrCode.Ecc.HIGH);
		writePng(toImage(qr, 6, 10), "alice-wonderland-QR.png");
	}
	
	
	// Creates QR Codes with manually specified segments for better compactness.
	private static void doSegmentDemo() throws IOException {
		QrCode qr;
		List<QrSegment> segs;
		
		// Illustration "silver"
		String silver0 = "THE SQUARE ROOT OF 2 IS 1.";
		String silver1 = "41421356237309504880168872420969807856967187537694807317667973799";
		qr = QrCode.encodeText(silver0 + silver1, QrCode.Ecc.LOW);
		writePng(toImage(qr, 10, 3), "sqrt2-monolithic-QR.png");
		
		segs = Arrays.asList(
			QrSegment.makeAlphanumeric(silver0),
			QrSegment.makeNumeric(silver1));
		qr = QrCode.encodeSegments(segs, QrCode.Ecc.LOW);
		writePng(toImage(qr, 10, 3), "sqrt2-segmented-QR.png");
		
		// Illustration "golden"
		String golden0 = "Golden ratio φ = 1.";
		String golden1 = "6180339887498948482045868343656381177203091798057628621354486227052604628189024497072072041893911374";
		String golden2 = "......";
		qr = QrCode.encodeText(golden0 + golden1 + golden2, QrCode.Ecc.LOW);
		writePng(toImage(qr, 8, 5), "phi-monolithic-QR.png");
		
		segs = Arrays.asList(
			QrSegment.makeBytes(golden0.getBytes(StandardCharsets.UTF_8)),
			QrSegment.makeNumeric(golden1),
			QrSegment.makeAlphanumeric(golden2));
		qr = QrCode.encodeSegments(segs, QrCode.Ecc.LOW);
		writePng(toImage(qr, 8, 5), "phi-segmented-QR.png");
		
		// Illustration "Madoka": kanji, kana, Cyrillic, full-width Latin, Greek characters
		String madoka = "「魔法少女まどか☆マギカ」って、 ИАИ desu κα?";
		qr = QrCode.encodeText(madoka, QrCode.Ecc.LOW);
		writePng(toImage(qr, 9, 4, 0xFFFFE0, 0x303080), "madoka-utf8-QR.png");
		
		segs = Arrays.asList(QrSegmentAdvanced.makeKanji(madoka));
		qr = QrCode.encodeSegments(segs, QrCode.Ecc.LOW);
		writePng(toImage(qr, 9, 4, 0xE0F0FF, 0x404040), "madoka-kanji-QR.png");
	}
	
	
	// Creates QR Codes with the same size and contents but different mask patterns.
	private static void doMaskDemo() throws IOException {
		QrCode qr;
		List<QrSegment> segs;
		
		// Project Nayuki URL
		segs = QrSegment.makeSegments("https://www.nayuki.io/");
		qr = QrCode.encodeSegments(segs, QrCode.Ecc.HIGH, QrCode.MIN_VERSION, QrCode.MAX_VERSION, -1, true);  // Automatic mask
		writePng(toImage(qr, 8, 6, 0xE0FFE0, 0x206020), "project-nayuki-automask-QR.png");
		qr = QrCode.encodeSegments(segs, QrCode.Ecc.HIGH, QrCode.MIN_VERSION, QrCode.MAX_VERSION, 3, true);  // Force mask 3
		writePng(toImage(qr, 8, 6, 0xFFE0E0, 0x602020), "project-nayuki-mask3-QR.png");
		
		// Chinese text as UTF-8
		segs = QrSegment.makeSegments("維基百科(Wikipedia,聆聽i/ˌwɪkᵻˈpiːdi.ə/)是一個自由內容、公開編輯且多語言的網路百科全書協作計畫");
		qr = QrCode.encodeSegments(segs, QrCode.Ecc.MEDIUM, QrCode.MIN_VERSION, QrCode.MAX_VERSION, 0, true);  // Force mask 0
		writePng(toImage(qr, 10, 3), "unicode-mask0-QR.png");
		qr = QrCode.encodeSegments(segs, QrCode.Ecc.MEDIUM, QrCode.MIN_VERSION, QrCode.MAX_VERSION, 1, true);  // Force mask 1
		writePng(toImage(qr, 10, 3), "unicode-mask1-QR.png");
		qr = QrCode.encodeSegments(segs, QrCode.Ecc.MEDIUM, QrCode.MIN_VERSION, QrCode.MAX_VERSION, 5, true);  // Force mask 5
		writePng(toImage(qr, 10, 3), "unicode-mask5-QR.png");
		qr = QrCode.encodeSegments(segs, QrCode.Ecc.MEDIUM, QrCode.MIN_VERSION, QrCode.MAX_VERSION, 7, true);  // Force mask 7
		writePng(toImage(qr, 10, 3), "unicode-mask7-QR.png");
	}
	
	
	
	/*---- Utilities ----*/
	
	private static BufferedImage toImage(QrCode qr, int scale, int border) {
		return toImage(qr, scale, border, 0xFFFFFF, 0x000000);
	}
	
	
	/**
	 * Returns a raster image depicting the specified QR Code, with
	 * the specified module scale, border modules, and module colors.
	 * <p>For example, scale=10 and border=4 means to pad the QR Code with 4 light border
	 * modules on all four sides, and use 10×10 pixels to represent each module.
	 * @param qr the QR Code to render (not {@code null})
	 * @param scale the side length (measured in pixels, must be positive) of each module
	 * @param border the number of border modules to add, which must be non-negative
	 * @param lightColor the color to use for light modules, in 0xRRGGBB format
	 * @param darkColor the color to use for dark modules, in 0xRRGGBB format
	 * @return a new image representing the QR Code, with padding and scaling
	 * @throws NullPointerException if the QR Code is {@code null}
	 * @throws IllegalArgumentException if the scale or border is out of range, or if
	 * {scale, border, size} cause the image dimensions to exceed Integer.MAX_VALUE
	 */
	private static BufferedImage toImage(QrCode qr, int scale, int border, int lightColor, int darkColor) {
		Objects.requireNonNull(qr);
		if (scale <= 0 || border < 0)
			throw new IllegalArgumentException("Value out of range");
		if (border > Integer.MAX_VALUE / 2 || qr.size + border * 2L > Integer.MAX_VALUE / scale)
			throw new IllegalArgumentException("Scale or border too large");
		
		BufferedImage result = new BufferedImage((qr.size + border * 2) * scale, (qr.size + border * 2) * scale, BufferedImage.TYPE_INT_RGB);
		for (int y = 0; y < result.getHeight(); y++) {
			for (int x = 0; x < result.getWidth(); x++) {
				boolean color = qr.getModule(x / scale - border, y / scale - border);
				result.setRGB(x, y, color ? darkColor : lightColor);
			}
		}
		return result;
	}
	
	
	// Helper function to reduce code duplication.
	private static void writePng(BufferedImage img, String filepath) throws IOException {
		ImageIO.write(img, "png", new File(filepath));
	}
	
	
	/**
	 * Returns a string of SVG code for an image depicting the specified QR Code, with the specified
	 * number of border modules. The string always uses Unix newlines (\n), regardless of the platform.
	 * @param qr the QR Code to render (not {@code null})
	 * @param border the number of border modules to add, which must be non-negative
	 * @param lightColor the color to use for light modules, in any format supported by CSS, not {@code null}
	 * @param darkColor the color to use for dark modules, in any format supported by CSS, not {@code null}
	 * @return a string representing the QR Code as an SVG XML document
	 * @throws NullPointerException if any object is {@code null}
	 * @throws IllegalArgumentException if the border is negative
	 */
	private static String toSvgString(QrCode qr, int border, String lightColor, String darkColor) {
		Objects.requireNonNull(qr);
		Objects.requireNonNull(lightColor);
		Objects.requireNonNull(darkColor);
		if (border < 0)
			throw new IllegalArgumentException("Border must be non-negative");
		long brd = border;
		StringBuilder sb = new StringBuilder()
			.append("<?xml version=\"1.0\" encoding=\"UTF-8\"?>\n")
			.append("<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\" \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n")
			.append(String.format("<svg xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\" viewBox=\"0 0 %1$d %1$d\" stroke=\"none\">\n",
				qr.size + brd * 2))
			.append("\t<rect width=\"100%\" height=\"100%\" fill=\"" + lightColor + "\"/>\n")
			.append("\t<path d=\"");
		for (int y = 0; y < qr.size; y++) {
			for (int x = 0; x < qr.size; x++) {
				if (qr.getModule(x, y)) {
					if (x != 0 || y != 0)
						sb.append(" ");
					sb.append(String.format("M%d,%dh1v1h-1z", x + brd, y + brd));
				}
			}
		}
		return sb
			.append("\" fill=\"" + darkColor + "\"/>\n")
			.append("</svg>\n")
			.toString();
	}
	
}

/* 
 * 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;

import java.nio.charset.StandardCharsets;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.List;
import java.util.Objects;


/**
 * A segment of character/binary/control data in a QR Code symbol.
 * Instances of this class are immutable.
 * <p>The mid-level way to create a segment is to take the payload data and call a
 * static factory function such as {@link QrSegment#makeNumeric(String)}. The low-level
 * way to create a segment is to custom-make the bit buffer and call the {@link
 * QrSegment#QrSegment(Mode,int,int[],int) constructor} with appropriate values.</p>
 * <p>This segment class imposes no length restrictions, but QR Codes have restrictions.
 * Even in the most favorable conditions, a QR Code can only hold 7089 characters of data.
 * Any segment longer than this is meaningless for the purpose of generating QR Codes.
 * This class can represent kanji mode segments, but provides no help in encoding them
 * - see {@link QrSegmentAdvanced} for full kanji support.</p>
 */
public final class QrSegment {
	
	/*---- Static factory functions (mid level) ----*/
	
	/**
	 * Returns a segment representing the specified binary data
	 * encoded in byte mode. All input byte arrays are acceptable.
	 * <p>Any text string can be converted to UTF-8 bytes ({@code
	 * s.getBytes(StandardCharsets.UTF_8)}) and encoded as a byte mode segment.</p>
	 * @param data the binary data (not {@code null})
	 * @return a segment (not {@code null}) containing the data
	 * @throws NullPointerException if the array is {@code null}
	 */
	public static QrSegment makeBytes(byte[] data) {
		Objects.requireNonNull(data);
		if (data.length * 8L > Integer.MAX_VALUE)
			throw new IllegalArgumentException("Data too long");
		int[] bits = new int[(data.length + 3) / 4];
		for (int i = 0; i < data.length; i++)
			bits[i >>> 2] |= (data[i] & 0xFF) << (~i << 3);
		return new QrSegment(Mode.BYTE, data.length, bits, data.length * 8);
	}
	
	
	/**
	 * Returns a segment representing the specified string of decimal digits encoded in numeric mode.
	 * @param digits the text (not {@code null}), with only digits from 0 to 9 allowed
	 * @return a segment (not {@code null}) containing the text
	 * @throws NullPointerException if the string is {@code null}
	 * @throws IllegalArgumentException if the string contains non-digit characters
	 */
	public static QrSegment makeNumeric(String digits) {
		Objects.requireNonNull(digits);
		BitBuffer bb = new BitBuffer();
		int accumData = 0;
		int accumCount = 0;
		for (int i = 0; i < digits.length(); i++) {
			char c = digits.charAt(i);
			if (c < '0' || c > '9')
				throw new IllegalArgumentException("String contains non-numeric characters");
			accumData = accumData * 10 + (c - '0');
			accumCount++;
			if (accumCount == 3) {
				bb.appendBits(accumData, 10);
				accumData = 0;
				accumCount = 0;
			}
		}
		if (accumCount > 0)  // 1 or 2 digits remaining
			bb.appendBits(accumData, accumCount * 3 + 1);
		return new QrSegment(Mode.NUMERIC, digits.length(), bb.data, bb.bitLength);
	}
	
	
	/**
	 * Returns a segment representing the specified text string encoded in alphanumeric mode.
	 * The characters allowed are: 0 to 9, A to Z (uppercase only), space,
	 * dollar, percent, asterisk, plus, hyphen, period, slash, colon.
	 * @param text the text (not {@code null}), with only certain characters allowed
	 * @return a segment (not {@code null}) containing the text
	 * @throws NullPointerException if the string is {@code null}
	 * @throws IllegalArgumentException if the string contains non-encodable characters
	 */
	public static QrSegment makeAlphanumeric(String text) {
		Objects.requireNonNull(text);
		BitBuffer bb = new BitBuffer();
		int accumData = 0;
		int accumCount = 0;
		for (int i = 0; i < text.length(); i++) {
			char c = text.charAt(i);
			if (c >= ALPHANUMERIC_MAP.length || ALPHANUMERIC_MAP[c] == -1)
				throw new IllegalArgumentException("String contains unencodable characters in alphanumeric mode");
			accumData = accumData * 45 + ALPHANUMERIC_MAP[c];
			accumCount++;
			if (accumCount == 2) {
				bb.appendBits(accumData, 11);
				accumData = 0;
				accumCount = 0;
			}
		}
		if (accumCount > 0)  // 1 character remaining
			bb.appendBits(accumData, 6);
		return new QrSegment(Mode.ALPHANUMERIC, text.length(), bb.data, bb.bitLength);
	}
	
	
	/**
	 * Returns a list of zero or more segments to represent the specified Unicode text string.
	 * The result may use various segment modes and switch modes to optimize the length of the bit stream.
	 * @param text the text to be encoded, which can be any Unicode string
	 * @return a new mutable list (not {@code null}) of segments (not {@code null}) containing the text
	 * @throws NullPointerException if the text is {@code null}
	 */
	public static List<QrSegment> makeSegments(String text) {
		Objects.requireNonNull(text);
		
		// Select the most efficient segment encoding automatically
		List<QrSegment> result = new ArrayList<>();
		if (text.equals(""));  // Leave result empty
		else if (isNumeric(text))
			result.add(makeNumeric(text));
		else if (isAlphanumeric(text))
			result.add(makeAlphanumeric(text));
		else
			result.add(makeBytes(text.getBytes(StandardCharsets.UTF_8)));
		return result;
	}
	
	
	/**
	 * Returns a segment representing an Extended Channel Interpretation
	 * (ECI) designator with the specified assignment value.
	 * @param assignVal the ECI assignment number (see the AIM ECI specification)
	 * @return a segment (not {@code null}) containing the data
	 * @throws IllegalArgumentException if the value is outside the range [0, 10<sup>6</sup>)
	 */
	public static QrSegment makeEci(int assignVal) {
		BitBuffer bb = new BitBuffer();
		if (assignVal < 0)
			throw new IllegalArgumentException("ECI assignment value out of range");
		else if (assignVal < (1 << 7))
			bb.appendBits(assignVal, 8);
		else if (assignVal < (1 << 14)) {
			bb.appendBits(2, 2);
			bb.appendBits(assignVal, 14);
		} else if (assignVal < 1_000_000) {
			bb.appendBits(6, 3);
			bb.appendBits(assignVal, 21);
		} else
			throw new IllegalArgumentException("ECI assignment value out of range");
		return new QrSegment(Mode.ECI, 0, bb.data, bb.bitLength);
	}
	
	
	/**
	 * Tests whether the specified string can be encoded as a segment in numeric mode.
	 * A string is encodable iff each character is in the range 0 to 9.
	 * @param text the string to test for encodability (not {@code null})
	 * @return {@code true} iff each character is in the range 0 to 9.
	 * @throws NullPointerException if the string is {@code null}
	 * @see #makeNumeric(String)
	 */
	public static boolean isNumeric(String text) {
		for (int i = 0; i < text.length(); i++) {
			char c = text.charAt(i);
			if (c < '0' || c > '9')
				return false;
		}
		return true;
	}
	
	
	/**
	 * Tests whether the specified string can be encoded as a segment in alphanumeric mode.
	 * A string is encodable iff each character is in the following set: 0 to 9, A to Z
	 * (uppercase only), space, dollar, percent, asterisk, plus, hyphen, period, slash, colon.
	 * @param text the string to test for encodability (not {@code null})
	 * @return {@code true} iff each character is in the alphanumeric mode character set
	 * @throws NullPointerException if the string is {@code null}
	 * @see #makeAlphanumeric(String)
	 */
	public static boolean isAlphanumeric(String text) {
		for (int i = 0; i < text.length(); i++) {
			char c = text.charAt(i);
			if (c >= ALPHANUMERIC_MAP.length || ALPHANUMERIC_MAP[c] == -1)
				return false;
		}
		return true;
	}
	
	
	
	/*---- Instance fields ----*/
	
	/** The mode indicator of this segment. Not {@code null}. */
	public final Mode mode;
	
	/** The length of this segment's unencoded data. Measured in characters for
	 * numeric/alphanumeric/kanji mode, bytes for byte mode, and 0 for ECI mode.
	 * Always zero or positive. Not the same as the data's bit length. */
	public final int numChars;
	
	// The data bits of this segment. Not null.
	final int[] data;
	
	// Requires 0 <= bitLength <= data.length * 32.
	final int bitLength;
	
	
	/*---- Constructor (low level) ----*/
	
	/**
	 * Constructs a QR Code segment with the specified attributes and data.
	 * The character count (numCh) must agree with the mode and the bit buffer length,
	 * but the constraint isn't checked. The specified bit buffer is cloned and stored.
	 * @param md the mode (not {@code null})
	 * @param numCh the data length in characters or bytes, which is non-negative
	 * @param data the data bits (not {@code null})
	 * @param bitLen the number of valid prefix bits in the data array
	 * @throws NullPointerException if the mode or data is {@code null}
	 * @throws IllegalArgumentException if the character count is negative
	 */
	public QrSegment(Mode md, int numCh, int[] data, int bitLen) {
		mode = Objects.requireNonNull(md);
		this.data = Objects.requireNonNull(data);
		if (numCh < 0 || bitLen < 0 || bitLen > data.length * 32L)
			throw new IllegalArgumentException("Invalid value");
		numChars = numCh;
		bitLength = bitLen;
	}
	
	
	// Calculates the number of bits needed to encode the given segments at the given version.
	// Returns a non-negative number if successful. Otherwise returns -1 if a segment has too
	// many characters to fit its length field, or the total bits exceeds Integer.MAX_VALUE.
	static int getTotalBits(List<QrSegment> segs, int version) {
		Objects.requireNonNull(segs);
		long result = 0;
		for (QrSegment seg : segs) {
			Objects.requireNonNull(seg);
			int ccbits = seg.mode.numCharCountBits(version);
			if (seg.numChars >= (1 << ccbits))
				return -1;  // The segment's length doesn't fit the field's bit width
			result += 4L + ccbits + seg.bitLength;
			if (result > Integer.MAX_VALUE)
				return -1;  // The sum will overflow an int type
		}
		return (int)result;
	}
	
	
	/*---- Constants ----*/
	
	static final int[] ALPHANUMERIC_MAP;
	
	static {
		final String ALPHANUMERIC_CHARSET = "0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ $%*+-./:";
		int maxCh = -1;
		for (int i = 0; i < ALPHANUMERIC_CHARSET.length(); i++)
			maxCh = Math.max(ALPHANUMERIC_CHARSET.charAt(i), maxCh);
		ALPHANUMERIC_MAP = new int[maxCh + 1];
		Arrays.fill(ALPHANUMERIC_MAP, -1);
		for (int i = 0; i < ALPHANUMERIC_CHARSET.length(); i++)
			ALPHANUMERIC_MAP[ALPHANUMERIC_CHARSET.charAt(i)] = i;
	}
	
	
	
	/*---- Public helper enumeration ----*/
	
	/**
	 * Describes how a segment's data bits are interpreted.
	 */
	public enum Mode {
		
		/*-- Constants --*/
		
		NUMERIC     (0x1, 10, 12, 14),
		ALPHANUMERIC(0x2,  9, 11, 13),
		BYTE        (0x4,  8, 16, 16),
		KANJI       (0x8,  8, 10, 12),
		ECI         (0x7,  0,  0,  0);
		
		
		/*-- Fields --*/
		
		// The mode indicator bits, which is a uint4 value (range 0 to 15).
		final int modeBits;
		
		// Number of character count bits for three different version ranges.
		private final int[] numBitsCharCount;
		
		
		/*-- Constructor --*/
		
		private Mode(int mode, int... ccbits) {
			modeBits = mode;
			numBitsCharCount = ccbits;
		}
		
		
		/*-- Method --*/
		
		// Returns the bit width of the character count field for a segment in this mode
		// in a QR Code at the given version number. The result is in the range [0, 16].
		int numCharCountBits(int ver) {
			assert QrCode.MIN_VERSION <= ver && ver <= QrCode.MAX_VERSION;
			return numBitsCharCount[(ver + 7) / 17];
		}
		
	}
	
}

/* 
 * 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;

import java.nio.charset.StandardCharsets;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Base64;
import java.util.List;
import java.util.Objects;
import io.nayuki.fastqrcodegen.QrSegment.Mode;


/**
 * Splits text into optimal segments and encodes kanji segments.
 * Provides static functions only; not instantiable.
 * @see QrSegment
 * @see QrCode
 */
public final class QrSegmentAdvanced {
	
	/*---- Optimal list of segments encoder ----*/
	
	/**
	 * Returns a list of zero or more segments to represent the specified Unicode text string.
	 * The resulting list optimally minimizes the total encoded bit length, subjected to the constraints
	 * in the specified {error correction level, minimum version number, maximum version number}.
	 * <p>This function can utilize all four text encoding modes: numeric, alphanumeric, byte (UTF-8),
	 * and kanji. This can be considered as a sophisticated but slower replacement for {@link
	 * QrSegment#makeSegments(String)}. This requires more input parameters because it searches a
	 * range of versions, like {@link QrCode#encodeSegments(List,QrCode.Ecc,int,int,int,boolean)}.</p>
	 * @param text the text to be encoded (not {@code null}), which can be any Unicode string
	 * @param ecl the error correction level to use (not {@code null})
	 * @param minVersion the minimum allowed version of the QR Code (at least 1)
	 * @param maxVersion the maximum allowed version of the QR Code (at most 40)
	 * @return a new mutable list (not {@code null}) of segments (not {@code null})
	 * containing the text, minimizing the bit length with respect to the constraints
	 * @throws NullPointerException if the text or error correction level is {@code null}
	 * @throws IllegalArgumentException if 1 ≤ minVersion ≤ maxVersion ≤ 40 is violated
	 * @throws DataTooLongException if the text fails to fit in the maxVersion QR Code at the ECL
	 */
	public static List<QrSegment> makeSegmentsOptimally(String text, QrCode.Ecc ecl, int minVersion, int maxVersion) {
		// Check arguments
		Objects.requireNonNull(text);
		Objects.requireNonNull(ecl);
		if (!(QrCode.MIN_VERSION <= minVersion && minVersion <= maxVersion && maxVersion <= QrCode.MAX_VERSION))
			throw new IllegalArgumentException("Invalid value");
		
		// Iterate through version numbers, and make tentative segments
		List<QrSegment> segs = null;
		int[] codePoints = toCodePoints(text);
		for (int version = minVersion; ; version++) {
			if (version == minVersion || version == 10 || version == 27)
				segs = makeSegmentsOptimally(codePoints, version);
			assert segs != null;
			
			// Check if the segments fit
			int dataCapacityBits = QrCode.getNumDataCodewords(version, ecl) * 8;  // Number of data bits available
			int dataUsedBits = QrSegment.getTotalBits(segs, version);
			if (dataUsedBits != -1 && dataUsedBits <= dataCapacityBits)
				return segs;  // This version number is found to be suitable
			if (version >= maxVersion) {  // All versions in the range could not fit the given text
				String msg = "Segment too long";
				if (dataUsedBits != -1)
					msg = String.format("Data length = %d bits, Max capacity = %d bits", dataUsedBits, dataCapacityBits);
				throw new DataTooLongException(msg);
			}
		}
	}
	
	
	// Returns a new list of segments that is optimal for the given text at the given version number.
	private static List<QrSegment> makeSegmentsOptimally(int[] codePoints, int version) {
		if (codePoints.length == 0)
			return new ArrayList<>();
		Mode[] charModes = computeCharacterModes(codePoints, version);
		return splitIntoSegments(codePoints, charModes);
	}
	
	
	// Returns a new array representing the optimal mode per code point based on the given text and version.
	private static Mode[] computeCharacterModes(int[] codePoints, int version) {
		if (codePoints.length == 0)
			throw new IllegalArgumentException();
		final Mode[] modeTypes = {Mode.BYTE, Mode.ALPHANUMERIC, Mode.NUMERIC, Mode.KANJI};  // Do not modify
		final int numModes = modeTypes.length;
		
		// Segment header sizes, measured in 1/6 bits
		final int[] headCosts = new int[numModes];
		for (int i = 0; i < numModes; i++)
			headCosts[i] = (4 + modeTypes[i].numCharCountBits(version)) * 6;
		
		// charModes[i][j] represents the mode to encode the code point at
		// index i such that the final segment ends in modeTypes[j] and the
		// total number of bits is minimized over all possible choices
		Mode[][] charModes = new Mode[codePoints.length][numModes];
		
		// At the beginning of each iteration of the loop below,
		// prevCosts[j] is the exact minimum number of 1/6 bits needed to
		// encode the entire string prefix of length i, and end in modeTypes[j]
		int[] prevCosts = headCosts.clone();
		
		// Calculate costs using dynamic programming
		for (int i = 0; i < codePoints.length; i++) {
			int c = codePoints[i];
			int[] curCosts = new int[numModes];
			{  // Always extend a byte mode segment
				curCosts[0] = prevCosts[0] + countUtf8Bytes(c) * 8 * 6;
				charModes[i][0] = modeTypes[0];
			}
			// Extend a segment if possible
			if (QrSegment.ALPHANUMERIC_MAP[c] != -1) {  // Is alphanumeric
				curCosts[1] = prevCosts[1] + 33;  // 5.5 bits per alphanumeric char
				charModes[i][1] = modeTypes[1];
			}
			if ('0' <= c && c <= '9') {  // Is numeric
				curCosts[2] = prevCosts[2] + 20;  // 3.33 bits per digit
				charModes[i][2] = modeTypes[2];
			}
			if (isKanji(c)) {
				curCosts[3] = prevCosts[3] + 78;  // 13 bits per Shift JIS char
				charModes[i][3] = modeTypes[3];
			}
			
			// Start new segment at the end to switch modes
			for (int j = 0; j < numModes; j++) {  // To mode
				for (int k = 0; k < numModes; k++) {  // From mode
					int newCost = (curCosts[k] + 5) / 6 * 6 + headCosts[j];
					if (charModes[i][k] != null && (charModes[i][j] == null || newCost < curCosts[j])) {
						curCosts[j] = newCost;
						charModes[i][j] = modeTypes[k];
					}
				}
			}
			
			prevCosts = curCosts;
		}
		
		// Find optimal ending mode
		Mode curMode = null;
		for (int i = 0, minCost = 0; i < numModes; i++) {
			if (curMode == null || prevCosts[i] < minCost) {
				minCost = prevCosts[i];
				curMode = modeTypes[i];
			}
		}
		
		// Get optimal mode for each code point by tracing backwards
		Mode[] result = new Mode[charModes.length];
		for (int i = result.length - 1; i >= 0; i--) {
			for (int j = 0; j < numModes; j++) {
				if (modeTypes[j] == curMode) {
					curMode = charModes[i][j];
					result[i] = curMode;
					break;
				}
			}
		}
		return result;
	}
	
	
	// Returns a new list of segments based on the given text and modes, such that
	// consecutive code points in the same mode are put into the same segment.
	private static List<QrSegment> splitIntoSegments(int[] codePoints, Mode[] charModes) {
		if (codePoints.length == 0)
			throw new IllegalArgumentException();
		List<QrSegment> result = new ArrayList<>();
		
		// Accumulate run of modes
		Mode curMode = charModes[0];
		int start = 0;
		for (int i = 1; ; i++) {
			if (i < codePoints.length && charModes[i] == curMode)
				continue;
			String s = new String(codePoints, start, i - start);
			if (curMode == Mode.BYTE)
				result.add(QrSegment.makeBytes(s.getBytes(StandardCharsets.UTF_8)));
			else if (curMode == Mode.NUMERIC)
				result.add(QrSegment.makeNumeric(s));
			else if (curMode == Mode.ALPHANUMERIC)
				result.add(QrSegment.makeAlphanumeric(s));
			else if (curMode == Mode.KANJI)
				result.add(makeKanji(s));
			else
				throw new AssertionError();
			if (i >= codePoints.length)
				return result;
			curMode = charModes[i];
			start = i;
		}
	}
	
	
	// Returns a new array of Unicode code points (effectively
	// UTF-32 / UCS-4) representing the given UTF-16 string.
	private static int[] toCodePoints(String s) {
		int[] result = s.codePoints().toArray();
		for (int c : result) {
			if (Character.isSurrogate((char)c))
				throw new IllegalArgumentException("Invalid UTF-16 string");
		}
		return result;
	}
	
	
	// Returns the number of UTF-8 bytes needed to encode the given Unicode code point.
	private static int countUtf8Bytes(int cp) {
		if      (cp <        0) throw new IllegalArgumentException("Invalid code point");
		else if (cp <     0x80) return 1;
		else if (cp <    0x800) return 2;
		else if (cp <  0x10000) return 3;
		else if (cp < 0x110000) return 4;
		else                    throw new IllegalArgumentException("Invalid code point");
	}
	
	
	
	/*---- Kanji mode segment encoder ----*/
	
	/**
	 * Returns a segment representing the specified text string encoded in kanji mode.
	 * Broadly speaking, the set of encodable characters are {kanji used in Japan,
	 * hiragana, katakana, East Asian punctuation, full-width ASCII, Greek, Cyrillic}.
	 * Examples of non-encodable characters include {ordinary ASCII, half-width katakana,
	 * more extensive Chinese hanzi}.
	 * @param text the text (not {@code null}), with only certain characters allowed
	 * @return a segment (not {@code null}) containing the text
	 * @throws NullPointerException if the string is {@code null}
	 * @throws IllegalArgumentException if the string contains non-encodable characters
	 * @see #isEncodableAsKanji(String)
	 */
	public static QrSegment makeKanji(String text) {
		Objects.requireNonNull(text);
		BitBuffer bb = new BitBuffer();
		text.chars().forEachOrdered(c -> {
			int val = UNICODE_TO_QR_KANJI[c];
			if (val == -1)
				throw new IllegalArgumentException("String contains non-kanji-mode characters");
			bb.appendBits(val, 13);
		});
		return new QrSegment(Mode.KANJI, text.length(), bb.data, bb.bitLength);
	}
	
	
	/**
	 * Tests whether the specified string can be encoded as a segment in kanji mode.
	 * Broadly speaking, the set of encodable characters are {kanji used in Japan,
	 * hiragana, katakana, East Asian punctuation, full-width ASCII, Greek, Cyrillic}.
	 * Examples of non-encodable characters include {ordinary ASCII, half-width katakana,
	 * more extensive Chinese hanzi}.
	 * @param text the string to test for encodability (not {@code null})
	 * @return {@code true} iff each character is in the kanji mode character set
	 * @throws NullPointerException if the string is {@code null}
	 * @see #makeKanji(String)
	 */
	public static boolean isEncodableAsKanji(String text) {
		Objects.requireNonNull(text);
		return text.chars().allMatch(
			c -> isKanji((char)c));
	}
	
	
	private static boolean isKanji(int c) {
		return c < UNICODE_TO_QR_KANJI.length && UNICODE_TO_QR_KANJI[c] != -1;
	}
	
	
	// Data derived from ftp://ftp.unicode.org/Public/MAPPINGS/OBSOLETE/EASTASIA/JIS/SHIFTJIS.TXT
	private static final String PACKED_QR_KANJI_TO_UNICODE =
		"MAAwATAC/wz/DjD7/xr/G/8f/wEwmzCcALT/QACo/z7/4/8/MP0w/jCdMJ4wA07dMAUwBjAHMPwgFSAQ/w8AXDAcIBb/XCAmICUgGCAZIBwgHf8I/wkwFDAV/zv/Pf9b/10wCDAJMAowCzAMMA0wDjAPMBAwEf8LIhIAsQDX//8A9/8dImD/HP8eImYiZyIeIjQmQiZA" +
		"ALAgMiAzIQP/5f8EAKIAo/8F/wP/Bv8K/yAApyYGJgUlyyXPJc4lxyXGJaEloCWzJbIlvSW8IDswEiGSIZAhkSGTMBP/////////////////////////////IggiCyKGIocigiKDIioiKf////////////////////8iJyIoAKwh0iHUIgAiA///////////////////" +
		"//////////8iICKlIxIiAiIHImEiUiJqImsiGiI9Ih0iNSIrIiz//////////////////yErIDAmbyZtJmogICAhALb//////////yXv/////////////////////////////////////////////////xD/Ef8S/xP/FP8V/xb/F/8Y/xn///////////////////8h" +
		"/yL/I/8k/yX/Jv8n/yj/Kf8q/yv/LP8t/y7/L/8w/zH/Mv8z/zT/Nf82/zf/OP85/zr///////////////////9B/0L/Q/9E/0X/Rv9H/0j/Sf9K/0v/TP9N/07/T/9Q/1H/Uv9T/1T/Vf9W/1f/WP9Z/1r//////////zBBMEIwQzBEMEUwRjBHMEgwSTBKMEswTDBN" +
		"ME4wTzBQMFEwUjBTMFQwVTBWMFcwWDBZMFowWzBcMF0wXjBfMGAwYTBiMGMwZDBlMGYwZzBoMGkwajBrMGwwbTBuMG8wcDBxMHIwczB0MHUwdjB3MHgweTB6MHswfDB9MH4wfzCAMIEwgjCDMIQwhTCGMIcwiDCJMIowizCMMI0wjjCPMJAwkTCSMJP/////////////" +
		"////////////////////////MKEwojCjMKQwpTCmMKcwqDCpMKowqzCsMK0wrjCvMLAwsTCyMLMwtDC1MLYwtzC4MLkwujC7MLwwvTC+ML8wwDDBMMIwwzDEMMUwxjDHMMgwyTDKMMswzDDNMM4wzzDQMNEw0jDTMNQw1TDWMNcw2DDZMNow2zDcMN0w3jDf//8w4DDh" +
		"MOIw4zDkMOUw5jDnMOgw6TDqMOsw7DDtMO4w7zDwMPEw8jDzMPQw9TD2/////////////////////wORA5IDkwOUA5UDlgOXA5gDmQOaA5sDnAOdA54DnwOgA6EDowOkA6UDpgOnA6gDqf////////////////////8DsQOyA7MDtAO1A7YDtwO4A7kDugO7A7wDvQO+" +
		"A78DwAPBA8MDxAPFA8YDxwPIA8n/////////////////////////////////////////////////////////////////////////////////////////////////////////////BBAEEQQSBBMEFAQVBAEEFgQXBBgEGQQaBBsEHAQdBB4EHwQgBCEEIgQjBCQEJQQm" +
		"BCcEKAQpBCoEKwQsBC0ELgQv////////////////////////////////////////BDAEMQQyBDMENAQ1BFEENgQ3BDgEOQQ6BDsEPAQ9//8EPgQ/BEAEQQRCBEMERARFBEYERwRIBEkESgRLBEwETQROBE///////////////////////////////////yUAJQIlDCUQ" +
		"JRglFCUcJSwlJCU0JTwlASUDJQ8lEyUbJRclIyUzJSslOyVLJSAlLyUoJTclPyUdJTAlJSU4JUL/////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////" +
		"////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////" +
		"////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////" +
		"////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////" +
		"////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////" +
		"////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////" +
		"////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////" +
		"////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////" +
		"////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////" +
		"////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////" +
		"/////////////////////////////////////06cVRZaA5Y/VMBhG2MoWfaQIoR1gxx6UGCqY+FuJWXthGaCppv1aJNXJ2WhYnFbm1nQhnuY9H1ifb6bjmIWfJ+It1uJXrVjCWaXaEiVx5eNZ09O5U8KT01PnVBJVvJZN1nUWgFcCWDfYQ9hcGYTaQVwunVPdXB5+32t" +
		"fe+Aw4QOiGOLApBVkHpTO06VTqVX34CykMF4704AWPFuopA4ejKDKIKLnC9RQVNwVL1U4VbgWftfFZjybeuA5IUt////////lmKWcJagl/tUC1PzW4dwz3+9j8KW6FNvnVx6uk4ReJOB/G4mVhhVBGsdhRqcO1nlU6ltZnTclY9WQk6RkEuW8oNPmQxT4VW2WzBfcWYg" +
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		"YB1jB2UvW1xlr2W9ZehnnWti//9re2wPc0V5SXnBfPh9GX0rgKKBAoHziZaKXoppimaKjIrujMeM3JbMmPxrb06LTzxPjVFQW1db+mFIYwFmQmshbstsu3I+dL111HjBeTqADIAzgeqElI+ebFCef18Pi1idK3r6jvhbjZbrTgNT8Vf3WTFayVukYIluf28Gdb6M6luf" +
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		"n0qfUp9Un2OfX59gn2GfZp9nn2yfap93n3Kfdp+Vn5yfoFgvaceQWXRkUdxxmf//////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////" +
		"////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////" +
		"////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////////" +
		"/////////////////////////////////////////////w==";
	
	
	private static short[] UNICODE_TO_QR_KANJI = new short[1 << 16];
	
	static {  // Unpack the Shift JIS table into a more computation-friendly form
		Arrays.fill(UNICODE_TO_QR_KANJI, (short)-1);
		byte[] bytes = Base64.getDecoder().decode(PACKED_QR_KANJI_TO_UNICODE);
		for (int i = 0; i < bytes.length; i += 2) {
			char c = (char)(((bytes[i] & 0xFF) << 8) | (bytes[i + 1] & 0xFF));
			if (c == 0xFFFF)
				continue;
			assert UNICODE_TO_QR_KANJI[c] == -1;
			UNICODE_TO_QR_KANJI[c] = (short)(i / 2);
		}
	}
	
	
	
	/*---- Miscellaneous ----*/
	
	private QrSegmentAdvanced() {}  // Not instantiable
	
}

/* 
 * 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;
	}
	
}

/* 
 * 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;

import java.util.Arrays;
import java.util.Objects;


// Computes Reed-Solomon error correction codewords for given data codewords.
final class ReedSolomonGenerator {
	
	// Use this memoizer to get instances of this class.
	public static final Memoizer<Integer,ReedSolomonGenerator> MEMOIZER
		= new Memoizer<>(ReedSolomonGenerator::new);
	
	
	// A table of size 256 * degree, where polynomialMultiply[i][j] = multiply(i, coefficients[j]).
	// 'coefficients' is the temporary array computed in the constructor.
	private byte[][] polynomialMultiply;
	
	
	// Creates a Reed-Solomon ECC generator polynomial for the given degree.
	private ReedSolomonGenerator(int degree) {
		if (degree < 1 || degree > 255)
			throw new IllegalArgumentException("Degree out of range");
		
		// The divisor polynomial, whose coefficients are stored from highest to lowest power.
		// For example, x^3 + 255x^2 + 8x + 93 is stored as the uint8 array {255, 8, 93}.
		byte[] coefficients = new byte[degree];
		coefficients[degree - 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).
		int root = 1;
		for (int i = 0; i < degree; i++) {
			// Multiply the current product by (x - r^i)
			for (int j = 0; j < coefficients.length; j++) {
				coefficients[j] = (byte)multiply(coefficients[j] & 0xFF, root);
				if (j + 1 < coefficients.length)
					coefficients[j] ^= coefficients[j + 1];
			}
			root = multiply(root, 0x02);
		}
		
		polynomialMultiply = new byte[256][degree];
		for (int i = 0; i < polynomialMultiply.length; i++) {
			for (int j = 0; j < degree; j++)
				polynomialMultiply[i][j] = (byte)multiply(i, coefficients[j] & 0xFF);
		}
	}
	
	
	// Returns the error correction codeword for the given data polynomial and this divisor polynomial.
	public void getRemainder(byte[] data, int dataOff, int dataLen, byte[] result) {
		Objects.requireNonNull(data);
		Objects.requireNonNull(result);
		int degree = polynomialMultiply[0].length;
		assert result.length == degree;
		
		Arrays.fill(result, (byte)0);
		for (int i = dataOff, dataEnd = dataOff + dataLen; i < dataEnd; i++) {  // Polynomial division
			byte[] table = polynomialMultiply[(data[i] ^ result[0]) & 0xFF];
			for (int j = 0; j < degree - 1; j++)
				result[j] = (byte)(result[j + 1] ^ table[j]);
			result[degree - 1] = table[degree - 1];
		}
	}
	
	
	// Returns the product of the two given field elements modulo GF(2^8/0x11D). The arguments and result
	// are unsigned 8-bit integers. This could be implemented as a lookup table of 256*256 entries of uint8.
	private static int multiply(int x, int y) {
		assert x >> 8 == 0 && y >> 8 == 0;
		// Russian peasant multiplication
		int z = 0;
		for (int i = 7; i >= 0; i--) {
			z = (z << 1) ^ ((z >>> 7) * 0x11D);
			z ^= ((y >>> i) & 1) * x;
		}
		assert z >>> 8 == 0;
		return z;
	}
	
}

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