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972 lines
41 KiB
972 lines
41 KiB
/* eslint-disable @typescript-eslint/no-unused-vars */ |
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/* eslint-disable @typescript-eslint/no-namespace */ |
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/** |
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* @license QR Code generator library (TypeScript) |
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* Copyright (c) Project Nayuki. |
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* SPDX-License-Identifier: MIT |
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*/ |
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'use strict'; |
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namespace qrcodegen { |
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type bit = number; |
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type byte = number; |
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type int = number; |
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|
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/*---- QR Code symbol class ----*/ |
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|
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/* |
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* A QR Code symbol, which is a type of two-dimension barcode. |
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* Invented by Denso Wave and described in the ISO/IEC 18004 standard. |
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* Instances of this class represent an immutable square grid of dark and light cells. |
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* The class provides static factory functions to create a QR Code from text or binary data. |
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* The class covers the QR Code Model 2 specification, supporting all versions (sizes) |
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* from 1 to 40, all 4 error correction levels, and 4 character encoding modes. |
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* |
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* Ways to create a QR Code object: |
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* - High level: Take the payload data and call QrCode.encodeText() or QrCode.encodeBinary(). |
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* - Mid level: Custom-make the list of segments and call QrCode.encodeSegments(). |
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* - Low level: Custom-make the array of data codeword bytes (including |
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* segment headers and final padding, excluding error correction codewords), |
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* supply the appropriate version number, and call the QrCode() constructor. |
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* (Note that all ways require supplying the desired error correction level.) |
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*/ |
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export class QrCode { |
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/*-- Static factory functions (high level) --*/ |
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// Returns a QR Code representing the given Unicode text string at the given error correction level. |
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// As a conservative upper bound, this function is guaranteed to succeed for strings that have 738 or fewer |
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// Unicode code points (not UTF-16 code units) if the low error correction level is used. The smallest possible |
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// QR Code version is automatically chosen for the output. The ECC level of the result may be higher than the |
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// ecl argument if it can be done without increasing the version. |
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public static encodeText(text: string, ecl: QrCode.Ecc): QrCode { |
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const segs: Array<QrSegment> = qrcodegen.QrSegment.makeSegments(text); |
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return QrCode.encodeSegments(segs, ecl); |
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} |
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// Returns a QR Code representing the given binary data at the given error correction level. |
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// This function always encodes using the binary segment mode, not any text mode. The maximum number of |
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// bytes allowed is 2953. The smallest possible QR Code version is automatically chosen for the output. |
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// The ECC level of the result may be higher than the ecl argument if it can be done without increasing the version. |
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public static encodeBinary(data: Readonly<Array<byte>>, ecl: QrCode.Ecc): QrCode { |
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const seg: QrSegment = qrcodegen.QrSegment.makeBytes(data); |
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return QrCode.encodeSegments([seg], ecl); |
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} |
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/*-- Static factory functions (mid level) --*/ |
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// Returns a QR Code representing the given segments with the given encoding parameters. |
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// The smallest possible QR Code version within the given range is automatically |
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// chosen for the output. Iff boostEcl is true, then the ECC level of the result |
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// may be higher than the ecl argument if it can be done without increasing the |
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// version. The mask number is either between 0 to 7 (inclusive) to force that |
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// mask, or -1 to automatically choose an appropriate mask (which may be slow). |
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// This function allows the user to create a custom sequence of segments that switches |
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// between modes (such as alphanumeric and byte) to encode text in less space. |
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// This is a mid-level API; the high-level API is encodeText() and encodeBinary(). |
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public static encodeSegments( |
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segs: Readonly<Array<QrSegment>>, |
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ecl: QrCode.Ecc, |
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minVersion: int = 1, |
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maxVersion: int = 40, |
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mask: int = -1, |
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boostEcl = true, |
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): QrCode { |
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if ( |
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!( |
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QrCode.MIN_VERSION <= minVersion && |
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minVersion <= maxVersion && |
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maxVersion <= QrCode.MAX_VERSION |
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) || |
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mask < -1 || |
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mask > 7 |
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) |
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throw new RangeError('Invalid value'); |
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// Find the minimal version number to use |
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let version: int; |
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let dataUsedBits: int; |
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for (version = minVersion; ; version++) { |
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const dataCapacityBits: int = QrCode.getNumDataCodewords(version, ecl) * 8; // Number of data bits available |
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const usedBits: number = QrSegment.getTotalBits(segs, version); |
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if (usedBits <= dataCapacityBits) { |
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dataUsedBits = usedBits; |
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break; // This version number is found to be suitable |
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} |
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if (version >= maxVersion) |
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// All versions in the range could not fit the given data |
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throw new RangeError('Data too long'); |
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} |
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// Increase the error correction level while the data still fits in the current version number |
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for (const newEcl of [QrCode.Ecc.MEDIUM, QrCode.Ecc.QUARTILE, QrCode.Ecc.HIGH]) { |
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// From low to high |
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if (boostEcl && dataUsedBits <= QrCode.getNumDataCodewords(version, newEcl) * 8) |
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ecl = newEcl; |
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} |
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// Concatenate all segments to create the data bit string |
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const bb: Array<bit> = []; |
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for (const seg of segs) { |
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appendBits(seg.mode.modeBits, 4, bb); |
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appendBits(seg.numChars, seg.mode.numCharCountBits(version), bb); |
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for (const b of seg.getData()) bb.push(b); |
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} |
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assert(bb.length == dataUsedBits); |
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// Add terminator and pad up to a byte if applicable |
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const dataCapacityBits: int = QrCode.getNumDataCodewords(version, ecl) * 8; |
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assert(bb.length <= dataCapacityBits); |
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appendBits(0, Math.min(4, dataCapacityBits - bb.length), bb); |
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appendBits(0, (8 - (bb.length % 8)) % 8, bb); |
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assert(bb.length % 8 == 0); |
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// Pad with alternating bytes until data capacity is reached |
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for (let padByte = 0xec; bb.length < dataCapacityBits; padByte ^= 0xec ^ 0x11) |
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appendBits(padByte, 8, bb); |
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// Pack bits into bytes in big endian |
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const dataCodewords: Array<byte> = []; |
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while (dataCodewords.length * 8 < bb.length) dataCodewords.push(0); |
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bb.forEach((b: bit, i: int) => (dataCodewords[i >>> 3] |= b << (7 - (i & 7)))); |
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// Create the QR Code object |
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return new QrCode(version, ecl, dataCodewords, mask); |
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} |
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/*-- Fields --*/ |
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// The width and height of this QR Code, measured in modules, between |
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// 21 and 177 (inclusive). This is equal to version * 4 + 17. |
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public readonly size: int; |
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// The index of the mask pattern used in this QR Code, which is between 0 and 7 (inclusive). |
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// Even if a QR Code is created with automatic masking requested (mask = -1), |
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// the resulting object still has a mask value between 0 and 7. |
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public readonly mask: int; |
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// The modules of this QR Code (false = light, true = dark). |
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// Immutable after constructor finishes. Accessed through getModule(). |
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private readonly modules: Array<Array<boolean>> = []; |
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// Indicates function modules that are not subjected to masking. Discarded when constructor finishes. |
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private readonly isFunction: Array<Array<boolean>> = []; |
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/*-- Constructor (low level) and fields --*/ |
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// Creates a new QR Code with the given version number, |
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// error correction level, data codeword bytes, and mask number. |
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// This is a low-level API that most users should not use directly. |
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// A mid-level API is the encodeSegments() function. |
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public constructor( |
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// The version number of this QR Code, which is between 1 and 40 (inclusive). |
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// This determines the size of this barcode. |
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public readonly version: int, |
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// The error correction level used in this QR Code. |
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public readonly errorCorrectionLevel: QrCode.Ecc, |
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dataCodewords: Readonly<Array<byte>>, |
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msk: int, |
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) { |
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// Check scalar arguments |
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if (version < QrCode.MIN_VERSION || version > QrCode.MAX_VERSION) |
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throw new RangeError('Version value out of range'); |
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if (msk < -1 || msk > 7) throw new RangeError('Mask value out of range'); |
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this.size = version * 4 + 17; |
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// Initialize both grids to be size*size arrays of Boolean false |
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const row: Array<boolean> = []; |
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for (let i = 0; i < this.size; i++) row.push(false); |
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for (let i = 0; i < this.size; i++) { |
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this.modules.push(row.slice()); // Initially all light |
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this.isFunction.push(row.slice()); |
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} |
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// Compute ECC, draw modules |
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this.drawFunctionPatterns(); |
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const allCodewords: Array<byte> = this.addEccAndInterleave(dataCodewords); |
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this.drawCodewords(allCodewords); |
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// Do masking |
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if (msk == -1) { |
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// Automatically choose best mask |
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let minPenalty: int = 1000000000; |
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for (let i = 0; i < 8; i++) { |
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this.applyMask(i); |
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this.drawFormatBits(i); |
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const penalty: int = this.getPenaltyScore(); |
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if (penalty < minPenalty) { |
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msk = i; |
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minPenalty = penalty; |
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} |
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this.applyMask(i); // Undoes the mask due to XOR |
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} |
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} |
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assert(0 <= msk && msk <= 7); |
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this.mask = msk; |
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this.applyMask(msk); // Apply the final choice of mask |
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this.drawFormatBits(msk); // Overwrite old format bits |
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this.isFunction = []; |
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} |
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/*-- Accessor methods --*/ |
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// Returns the color of the module (pixel) at the given coordinates, which is false |
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// for light or true for dark. The top left corner has the coordinates (x=0, y=0). |
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// If the given coordinates are out of bounds, then false (light) is returned. |
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public getModule(x: int, y: int): boolean { |
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return 0 <= x && x < this.size && 0 <= y && y < this.size && this.modules[y][x]; |
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} |
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// Modified to expose modules for easy access |
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public getModules() { |
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return this.modules; |
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} |
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/*-- Private helper methods for constructor: Drawing function modules --*/ |
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// Reads this object's version field, and draws and marks all function modules. |
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private drawFunctionPatterns(): void { |
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// Draw horizontal and vertical timing patterns |
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for (let i = 0; i < this.size; i++) { |
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this.setFunctionModule(6, i, i % 2 == 0); |
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this.setFunctionModule(i, 6, i % 2 == 0); |
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} |
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// Draw 3 finder patterns (all corners except bottom right; overwrites some timing modules) |
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this.drawFinderPattern(3, 3); |
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this.drawFinderPattern(this.size - 4, 3); |
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this.drawFinderPattern(3, this.size - 4); |
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// Draw numerous alignment patterns |
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const alignPatPos: Array<int> = this.getAlignmentPatternPositions(); |
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const numAlign: int = alignPatPos.length; |
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for (let i = 0; i < numAlign; i++) { |
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for (let j = 0; j < numAlign; j++) { |
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// Don't draw on the three finder corners |
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if ( |
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!((i == 0 && j == 0) || (i == 0 && j == numAlign - 1) || (i == numAlign - 1 && j == 0)) |
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) |
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this.drawAlignmentPattern(alignPatPos[i], alignPatPos[j]); |
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} |
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} |
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// Draw configuration data |
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this.drawFormatBits(0); // Dummy mask value; overwritten later in the constructor |
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this.drawVersion(); |
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} |
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// Draws two copies of the format bits (with its own error correction code) |
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// based on the given mask and this object's error correction level field. |
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private drawFormatBits(mask: int): void { |
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// Calculate error correction code and pack bits |
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const data: int = (this.errorCorrectionLevel.formatBits << 3) | mask; // errCorrLvl is uint2, mask is uint3 |
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let rem: int = data; |
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for (let i = 0; i < 10; i++) rem = (rem << 1) ^ ((rem >>> 9) * 0x537); |
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const bits = ((data << 10) | rem) ^ 0x5412; // uint15 |
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assert(bits >>> 15 == 0); |
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// Draw first copy |
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for (let i = 0; i <= 5; i++) this.setFunctionModule(8, i, getBit(bits, i)); |
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this.setFunctionModule(8, 7, getBit(bits, 6)); |
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this.setFunctionModule(8, 8, getBit(bits, 7)); |
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this.setFunctionModule(7, 8, getBit(bits, 8)); |
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for (let i = 9; i < 15; i++) this.setFunctionModule(14 - i, 8, getBit(bits, i)); |
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// Draw second copy |
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for (let i = 0; i < 8; i++) this.setFunctionModule(this.size - 1 - i, 8, getBit(bits, i)); |
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for (let i = 8; i < 15; i++) this.setFunctionModule(8, this.size - 15 + i, getBit(bits, i)); |
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this.setFunctionModule(8, this.size - 8, true); // Always dark |
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} |
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// Draws two copies of the version bits (with its own error correction code), |
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// based on this object's version field, iff 7 <= version <= 40. |
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private drawVersion(): void { |
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if (this.version < 7) return; |
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// Calculate error correction code and pack bits |
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let rem: int = this.version; // version is uint6, in the range [7, 40] |
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for (let i = 0; i < 12; i++) rem = (rem << 1) ^ ((rem >>> 11) * 0x1f25); |
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const bits: int = (this.version << 12) | rem; // uint18 |
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assert(bits >>> 18 == 0); |
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// Draw two copies |
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for (let i = 0; i < 18; i++) { |
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const color: boolean = getBit(bits, i); |
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const a: int = this.size - 11 + (i % 3); |
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const b: int = Math.floor(i / 3); |
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this.setFunctionModule(a, b, color); |
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this.setFunctionModule(b, a, color); |
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} |
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} |
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// Draws a 9*9 finder pattern including the border separator, |
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// with the center module at (x, y). Modules can be out of bounds. |
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private drawFinderPattern(x: int, y: int): void { |
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for (let dy = -4; dy <= 4; dy++) { |
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for (let dx = -4; dx <= 4; dx++) { |
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const dist: int = Math.max(Math.abs(dx), Math.abs(dy)); // Chebyshev/infinity norm |
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const xx: int = x + dx; |
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const yy: int = y + dy; |
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if (0 <= xx && xx < this.size && 0 <= yy && yy < this.size) |
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this.setFunctionModule(xx, yy, dist != 2 && dist != 4); |
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} |
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} |
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} |
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// Draws a 5*5 alignment pattern, with the center module |
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// at (x, y). All modules must be in bounds. |
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private drawAlignmentPattern(x: int, y: int): void { |
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for (let dy = -2; dy <= 2; dy++) { |
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for (let dx = -2; dx <= 2; dx++) |
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this.setFunctionModule(x + dx, y + dy, Math.max(Math.abs(dx), Math.abs(dy)) != 1); |
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} |
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} |
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// Sets the color of a module and marks it as a function module. |
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// Only used by the constructor. Coordinates must be in bounds. |
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private setFunctionModule(x: int, y: int, isDark: boolean): void { |
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this.modules[y][x] = isDark; |
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this.isFunction[y][x] = true; |
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} |
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/*-- Private helper methods for constructor: Codewords and masking --*/ |
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// Returns a new byte string representing the given data with the appropriate error correction |
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// codewords appended to it, based on this object's version and error correction level. |
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private addEccAndInterleave(data: Readonly<Array<byte>>): Array<byte> { |
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const ver: int = this.version; |
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const ecl: QrCode.Ecc = this.errorCorrectionLevel; |
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if (data.length != QrCode.getNumDataCodewords(ver, ecl)) |
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throw new RangeError('Invalid argument'); |
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// Calculate parameter numbers |
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const numBlocks: int = QrCode.NUM_ERROR_CORRECTION_BLOCKS[ecl.ordinal][ver]; |
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const blockEccLen: int = QrCode.ECC_CODEWORDS_PER_BLOCK[ecl.ordinal][ver]; |
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const rawCodewords: int = Math.floor(QrCode.getNumRawDataModules(ver) / 8); |
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const numShortBlocks: int = numBlocks - (rawCodewords % numBlocks); |
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const shortBlockLen: int = Math.floor(rawCodewords / numBlocks); |
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// Split data into blocks and append ECC to each block |
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const blocks: Array<Array<byte>> = []; |
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const rsDiv: Array<byte> = QrCode.reedSolomonComputeDivisor(blockEccLen); |
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for (let i = 0, k = 0; i < numBlocks; i++) { |
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const dat: Array<byte> = data.slice( |
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k, |
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k + shortBlockLen - blockEccLen + (i < numShortBlocks ? 0 : 1), |
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); |
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k += dat.length; |
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const ecc: Array<byte> = QrCode.reedSolomonComputeRemainder(dat, rsDiv); |
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if (i < numShortBlocks) dat.push(0); |
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blocks.push(dat.concat(ecc)); |
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} |
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// Interleave (not concatenate) the bytes from every block into a single sequence |
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const result: Array<byte> = []; |
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for (let i = 0; i < blocks[0].length; i++) { |
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blocks.forEach((block, j) => { |
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// Skip the padding byte in short blocks |
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if (i != shortBlockLen - blockEccLen || j >= numShortBlocks) result.push(block[i]); |
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}); |
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} |
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assert(result.length == rawCodewords); |
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return result; |
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} |
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// Draws the given sequence of 8-bit codewords (data and error correction) onto the entire |
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// data area of this QR Code. Function modules need to be marked off before this is called. |
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private drawCodewords(data: Readonly<Array<byte>>): void { |
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if (data.length != Math.floor(QrCode.getNumRawDataModules(this.version) / 8)) |
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throw new RangeError('Invalid argument'); |
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let i: int = 0; // Bit index into the data |
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// Do the funny zigzag scan |
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for (let right = this.size - 1; right >= 1; right -= 2) { |
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// Index of right column in each column pair |
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if (right == 6) right = 5; |
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for (let vert = 0; vert < this.size; vert++) { |
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// Vertical counter |
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for (let j = 0; j < 2; j++) { |
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const x: int = right - j; // Actual x coordinate |
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const upward: boolean = ((right + 1) & 2) == 0; |
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const y: int = upward ? this.size - 1 - vert : vert; // Actual y coordinate |
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if (!this.isFunction[y][x] && i < data.length * 8) { |
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this.modules[y][x] = getBit(data[i >>> 3], 7 - (i & 7)); |
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i++; |
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} |
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// If this QR Code has any remainder bits (0 to 7), they were assigned as |
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// 0/false/light by the constructor and are left unchanged by this method |
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} |
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} |
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} |
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assert(i == data.length * 8); |
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} |
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|
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// XORs the codeword modules in this QR Code with the given mask pattern. |
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// The function modules must be marked and the codeword bits must be drawn |
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// before masking. Due to the arithmetic of XOR, calling applyMask() with |
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// the same mask value a second time will undo the mask. A final well-formed |
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// QR Code needs exactly one (not zero, two, etc.) mask applied. |
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private applyMask(mask: int): void { |
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if (mask < 0 || mask > 7) throw new RangeError('Mask value out of range'); |
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for (let y = 0; y < this.size; y++) { |
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for (let x = 0; x < this.size; x++) { |
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let invert: boolean; |
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switch (mask) { |
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case 0: |
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invert = (x + y) % 2 == 0; |
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break; |
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case 1: |
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invert = y % 2 == 0; |
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break; |
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case 2: |
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invert = x % 3 == 0; |
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break; |
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case 3: |
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invert = (x + y) % 3 == 0; |
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break; |
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case 4: |
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invert = (Math.floor(x / 3) + Math.floor(y / 2)) % 2 == 0; |
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break; |
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case 5: |
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invert = ((x * y) % 2) + ((x * y) % 3) == 0; |
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break; |
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case 6: |
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invert = (((x * y) % 2) + ((x * y) % 3)) % 2 == 0; |
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break; |
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case 7: |
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invert = (((x + y) % 2) + ((x * y) % 3)) % 2 == 0; |
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break; |
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default: |
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throw new Error('Unreachable'); |
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} |
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if (!this.isFunction[y][x] && invert) this.modules[y][x] = !this.modules[y][x]; |
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} |
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} |
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} |
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|
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// Calculates and returns the penalty score based on state of this QR Code's current modules. |
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// This is used by the automatic mask choice algorithm to find the mask pattern that yields the lowest score. |
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private getPenaltyScore(): int { |
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let result: int = 0; |
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|
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// Adjacent modules in row having same color, and finder-like patterns |
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for (let y = 0; y < this.size; y++) { |
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let runColor = false; |
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let runX = 0; |
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const runHistory = [0, 0, 0, 0, 0, 0, 0]; |
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for (let x = 0; x < this.size; x++) { |
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if (this.modules[y][x] == runColor) { |
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runX++; |
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if (runX == 5) result += QrCode.PENALTY_N1; |
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else if (runX > 5) result++; |
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} else { |
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this.finderPenaltyAddHistory(runX, runHistory); |
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if (!runColor) |
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result += this.finderPenaltyCountPatterns(runHistory) * QrCode.PENALTY_N3; |
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runColor = this.modules[y][x]; |
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runX = 1; |
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} |
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} |
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result += |
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this.finderPenaltyTerminateAndCount(runColor, runX, runHistory) * QrCode.PENALTY_N3; |
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} |
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// Adjacent modules in column having same color, and finder-like patterns |
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for (let x = 0; x < this.size; x++) { |
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let runColor = false; |
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let runY = 0; |
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const runHistory = [0, 0, 0, 0, 0, 0, 0]; |
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for (let y = 0; y < this.size; y++) { |
|
if (this.modules[y][x] == runColor) { |
|
runY++; |
|
if (runY == 5) result += QrCode.PENALTY_N1; |
|
else if (runY > 5) result++; |
|
} else { |
|
this.finderPenaltyAddHistory(runY, runHistory); |
|
if (!runColor) |
|
result += this.finderPenaltyCountPatterns(runHistory) * QrCode.PENALTY_N3; |
|
runColor = this.modules[y][x]; |
|
runY = 1; |
|
} |
|
} |
|
result += |
|
this.finderPenaltyTerminateAndCount(runColor, runY, runHistory) * QrCode.PENALTY_N3; |
|
} |
|
|
|
// 2*2 blocks of modules having same color |
|
for (let y = 0; y < this.size - 1; y++) { |
|
for (let x = 0; x < this.size - 1; x++) { |
|
const color: boolean = this.modules[y][x]; |
|
if ( |
|
color == this.modules[y][x + 1] && |
|
color == this.modules[y + 1][x] && |
|
color == this.modules[y + 1][x + 1] |
|
) |
|
result += QrCode.PENALTY_N2; |
|
} |
|
} |
|
|
|
// Balance of dark and light modules |
|
let dark: int = 0; |
|
for (const row of this.modules) |
|
dark = row.reduce((sum, color) => sum + (color ? 1 : 0), dark); |
|
const total: int = this.size * this.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)% |
|
const k: int = Math.ceil(Math.abs(dark * 20 - total * 10) / total) - 1; |
|
assert(0 <= k && k <= 9); |
|
result += k * QrCode.PENALTY_N4; |
|
assert(0 <= result && result <= 2568888); // Non-tight upper bound based on default values of PENALTY_N1, ..., N4 |
|
return result; |
|
} |
|
|
|
/*-- Private helper functions --*/ |
|
|
|
// 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 integers. |
|
private getAlignmentPatternPositions(): Array<int> { |
|
if (this.version == 1) return []; |
|
else { |
|
const numAlign: int = Math.floor(this.version / 7) + 2; |
|
const step: int = |
|
this.version == 32 ? 26 : Math.ceil((this.version * 4 + 4) / (numAlign * 2 - 2)) * 2; |
|
const result: Array<int> = [6]; |
|
for (let pos = this.size - 7; result.length < numAlign; pos -= step) |
|
result.splice(1, 0, 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. |
|
private static getNumRawDataModules(ver: int): int { |
|
if (ver < QrCode.MIN_VERSION || ver > QrCode.MAX_VERSION) |
|
throw new RangeError('Version number out of range'); |
|
let result: int = (16 * ver + 128) * ver + 64; |
|
if (ver >= 2) { |
|
const numAlign: int = Math.floor(ver / 7) + 2; |
|
result -= (25 * numAlign - 10) * numAlign - 55; |
|
if (ver >= 7) result -= 36; |
|
} |
|
assert(208 <= result && result <= 29648); |
|
return result; |
|
} |
|
|
|
// 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. |
|
private static getNumDataCodewords(ver: int, ecl: QrCode.Ecc): int { |
|
return ( |
|
Math.floor(QrCode.getNumRawDataModules(ver) / 8) - |
|
QrCode.ECC_CODEWORDS_PER_BLOCK[ecl.ordinal][ver] * |
|
QrCode.NUM_ERROR_CORRECTION_BLOCKS[ecl.ordinal][ver] |
|
); |
|
} |
|
|
|
// Returns a Reed-Solomon ECC generator polynomial for the given degree. This could be |
|
// implemented as a lookup table over all possible parameter values, instead of as an algorithm. |
|
private static reedSolomonComputeDivisor(degree: int): Array<byte> { |
|
if (degree < 1 || degree > 255) throw new RangeError('Degree out of range'); |
|
// Polynomial coefficients are stored from highest to lowest power, excluding the leading term which is always 1. |
|
// For example the polynomial x^3 + 255x^2 + 8x + 93 is stored as the uint8 array [255, 8, 93]. |
|
const result: Array<byte> = []; |
|
for (let i = 0; i < degree - 1; i++) result.push(0); |
|
result.push(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). |
|
let root = 1; |
|
for (let i = 0; i < degree; i++) { |
|
// Multiply the current product by (x - r^i) |
|
for (let j = 0; j < result.length; j++) { |
|
result[j] = QrCode.reedSolomonMultiply(result[j], root); |
|
if (j + 1 < result.length) result[j] ^= result[j + 1]; |
|
} |
|
root = QrCode.reedSolomonMultiply(root, 0x02); |
|
} |
|
return result; |
|
} |
|
|
|
// Returns the Reed-Solomon error correction codeword for the given data and divisor polynomials. |
|
private static reedSolomonComputeRemainder( |
|
data: Readonly<Array<byte>>, |
|
divisor: Readonly<Array<byte>>, |
|
): Array<byte> { |
|
const result: Array<byte> = divisor.map(_ => 0); |
|
for (const b of data) { |
|
// Polynomial division |
|
const factor: byte = b ^ (result.shift() as byte); |
|
result.push(0); |
|
divisor.forEach((coef, i) => (result[i] ^= QrCode.reedSolomonMultiply(coef, factor))); |
|
} |
|
return result; |
|
} |
|
|
|
// 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 reedSolomonMultiply(x: byte, y: byte): byte { |
|
if (x >>> 8 != 0 || y >>> 8 != 0) throw new RangeError('Byte out of range'); |
|
// Russian peasant multiplication |
|
let z: int = 0; |
|
for (let i = 7; i >= 0; i--) { |
|
z = (z << 1) ^ ((z >>> 7) * 0x11d); |
|
z ^= ((y >>> i) & 1) * x; |
|
} |
|
assert(z >>> 8 == 0); |
|
return z as byte; |
|
} |
|
|
|
// Can only be called immediately after a light run is added, and |
|
// returns either 0, 1, or 2. A helper function for getPenaltyScore(). |
|
private finderPenaltyCountPatterns(runHistory: Readonly<Array<int>>): int { |
|
const n: int = runHistory[1]; |
|
assert(n <= this.size * 3); |
|
const core: boolean = |
|
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 finderPenaltyTerminateAndCount( |
|
currentRunColor: boolean, |
|
currentRunLength: int, |
|
runHistory: Array<int>, |
|
): int { |
|
if (currentRunColor) { |
|
// Terminate dark run |
|
this.finderPenaltyAddHistory(currentRunLength, runHistory); |
|
currentRunLength = 0; |
|
} |
|
currentRunLength += this.size; // Add light border to final run |
|
this.finderPenaltyAddHistory(currentRunLength, runHistory); |
|
return this.finderPenaltyCountPatterns(runHistory); |
|
} |
|
|
|
// Pushes the given value to the front and drops the last value. A helper function for getPenaltyScore(). |
|
private finderPenaltyAddHistory(currentRunLength: int, runHistory: Array<int>): void { |
|
if (runHistory[0] == 0) currentRunLength += this.size; // Add light border to initial run |
|
runHistory.pop(); |
|
runHistory.unshift(currentRunLength); |
|
} |
|
|
|
/*-- Constants and tables --*/ |
|
|
|
// The minimum version number supported in the QR Code Model 2 standard. |
|
public static readonly MIN_VERSION: int = 1; |
|
// The maximum version number supported in the QR Code Model 2 standard. |
|
public static readonly MAX_VERSION: int = 40; |
|
|
|
// For use in getPenaltyScore(), when evaluating which mask is best. |
|
private static readonly PENALTY_N1: int = 3; |
|
private static readonly PENALTY_N2: int = 3; |
|
private static readonly PENALTY_N3: int = 40; |
|
private static readonly PENALTY_N4: int = 10; |
|
|
|
private static readonly ECC_CODEWORDS_PER_BLOCK: Array<Array<int>> = [ |
|
// 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 readonly NUM_ERROR_CORRECTION_BLOCKS: Array<Array<int>> = [ |
|
// 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 |
|
]; |
|
} |
|
|
|
// Appends the given number of low-order bits of the given value |
|
// to the given buffer. Requires 0 <= len <= 31 and 0 <= val < 2^len. |
|
function appendBits(val: int, len: int, bb: Array<bit>): void { |
|
if (len < 0 || len > 31 || val >>> len != 0) throw new RangeError('Value out of range'); |
|
for ( |
|
let i = len - 1; |
|
i >= 0; |
|
i-- // Append bit by bit |
|
) |
|
bb.push((val >>> i) & 1); |
|
} |
|
|
|
// Returns true iff the i'th bit of x is set to 1. |
|
function getBit(x: int, i: int): boolean { |
|
return ((x >>> i) & 1) != 0; |
|
} |
|
|
|
// Throws an exception if the given condition is false. |
|
function assert(cond: boolean): void { |
|
if (!cond) throw new Error('Assertion error'); |
|
} |
|
|
|
/*---- Data segment class ----*/ |
|
|
|
/* |
|
* A segment of character/binary/control data in a QR Code symbol. |
|
* Instances of this class are immutable. |
|
* The mid-level way to create a segment is to take the payload data |
|
* and call a static factory function such as QrSegment.makeNumeric(). |
|
* The low-level way to create a segment is to custom-make the bit buffer |
|
* and call the QrSegment() constructor with appropriate values. |
|
* 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. |
|
*/ |
|
export class QrSegment { |
|
/*-- Static factory functions (mid level) --*/ |
|
|
|
// Returns a segment representing the given binary data encoded in |
|
// byte mode. All input byte arrays are acceptable. Any text string |
|
// can be converted to UTF-8 bytes and encoded as a byte mode segment. |
|
public static makeBytes(data: Readonly<Array<byte>>): QrSegment { |
|
const bb: Array<bit> = []; |
|
for (const b of data) appendBits(b, 8, bb); |
|
return new QrSegment(QrSegment.Mode.BYTE, data.length, bb); |
|
} |
|
|
|
// Returns a segment representing the given string of decimal digits encoded in numeric mode. |
|
public static makeNumeric(digits: string): QrSegment { |
|
if (!QrSegment.isNumeric(digits)) |
|
throw new RangeError('String contains non-numeric characters'); |
|
const bb: Array<bit> = []; |
|
for (let i = 0; i < digits.length; ) { |
|
// Consume up to 3 digits per iteration |
|
const n: int = Math.min(digits.length - i, 3); |
|
appendBits(parseInt(digits.substring(i, i + n), 10), n * 3 + 1, bb); |
|
i += n; |
|
} |
|
return new QrSegment(QrSegment.Mode.NUMERIC, digits.length, bb); |
|
} |
|
|
|
// Returns a segment representing the given 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. |
|
public static makeAlphanumeric(text: string): QrSegment { |
|
if (!QrSegment.isAlphanumeric(text)) |
|
throw new RangeError('String contains unencodable characters in alphanumeric mode'); |
|
const bb: Array<bit> = []; |
|
let i: int; |
|
for (i = 0; i + 2 <= text.length; i += 2) { |
|
// Process groups of 2 |
|
let temp: int = QrSegment.ALPHANUMERIC_CHARSET.indexOf(text.charAt(i)) * 45; |
|
temp += QrSegment.ALPHANUMERIC_CHARSET.indexOf(text.charAt(i + 1)); |
|
appendBits(temp, 11, bb); |
|
} |
|
if (i < text.length) |
|
// 1 character remaining |
|
appendBits(QrSegment.ALPHANUMERIC_CHARSET.indexOf(text.charAt(i)), 6, bb); |
|
return new QrSegment(QrSegment.Mode.ALPHANUMERIC, text.length, bb); |
|
} |
|
|
|
// Returns a new mutable list of zero or more segments to represent the given Unicode text string. |
|
// The result may use various segment modes and switch modes to optimize the length of the bit stream. |
|
public static makeSegments(text: string): Array<QrSegment> { |
|
// Select the most efficient segment encoding automatically |
|
if (text == '') return []; |
|
else if (QrSegment.isNumeric(text)) return [QrSegment.makeNumeric(text)]; |
|
else if (QrSegment.isAlphanumeric(text)) return [QrSegment.makeAlphanumeric(text)]; |
|
else return [QrSegment.makeBytes(QrSegment.toUtf8ByteArray(text))]; |
|
} |
|
|
|
// Returns a segment representing an Extended Channel Interpretation |
|
// (ECI) designator with the given assignment value. |
|
public static makeEci(assignVal: int): QrSegment { |
|
const bb: Array<bit> = []; |
|
if (assignVal < 0) throw new RangeError('ECI assignment value out of range'); |
|
else if (assignVal < 1 << 7) appendBits(assignVal, 8, bb); |
|
else if (assignVal < 1 << 14) { |
|
appendBits(0b10, 2, bb); |
|
appendBits(assignVal, 14, bb); |
|
} else if (assignVal < 1000000) { |
|
appendBits(0b110, 3, bb); |
|
appendBits(assignVal, 21, bb); |
|
} else throw new RangeError('ECI assignment value out of range'); |
|
return new QrSegment(QrSegment.Mode.ECI, 0, bb); |
|
} |
|
|
|
// Tests whether the given string can be encoded as a segment in numeric mode. |
|
// A string is encodable iff each character is in the range 0 to 9. |
|
public static isNumeric(text: string): boolean { |
|
return QrSegment.NUMERIC_REGEX.test(text); |
|
} |
|
|
|
// Tests whether the given 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. |
|
public static isAlphanumeric(text: string): boolean { |
|
return QrSegment.ALPHANUMERIC_REGEX.test(text); |
|
} |
|
|
|
/*-- Constructor (low level) and fields --*/ |
|
|
|
// Creates a new QR Code segment with the given attributes and data. |
|
// The character count (numChars) must agree with the mode and the bit buffer length, |
|
// but the constraint isn't checked. The given bit buffer is cloned and stored. |
|
public constructor( |
|
// The mode indicator of this segment. |
|
public readonly mode: QrSegment.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 readonly numChars: int, |
|
|
|
// The data bits of this segment. Accessed through getData(). |
|
private readonly bitData: Array<bit>, |
|
) { |
|
if (numChars < 0) throw new RangeError('Invalid argument'); |
|
this.bitData = bitData.slice(); // Make defensive copy |
|
} |
|
|
|
/*-- Methods --*/ |
|
|
|
// Returns a new copy of the data bits of this segment. |
|
public getData(): Array<bit> { |
|
return this.bitData.slice(); // Make defensive copy |
|
} |
|
|
|
// (Package-private) Calculates and returns the number of bits needed to encode the given segments at |
|
// the given version. The result is infinity if a segment has too many characters to fit its length field. |
|
public static getTotalBits(segs: Readonly<Array<QrSegment>>, version: int): number { |
|
let result = 0; |
|
for (const seg of segs) { |
|
const ccbits: int = seg.mode.numCharCountBits(version); |
|
if (seg.numChars >= 1 << ccbits) return Infinity; // The segment's length doesn't fit the field's bit width |
|
result += 4 + ccbits + seg.bitData.length; |
|
} |
|
return result; |
|
} |
|
|
|
// Returns a new array of bytes representing the given string encoded in UTF-8. |
|
private static toUtf8ByteArray(str: string): Array<byte> { |
|
str = encodeURI(str); |
|
const result: Array<byte> = []; |
|
for (let i = 0; i < str.length; i++) { |
|
if (str.charAt(i) != '%') result.push(str.charCodeAt(i)); |
|
else { |
|
result.push(parseInt(str.substring(i + 1, i + 3), 16)); |
|
i += 2; |
|
} |
|
} |
|
return result; |
|
} |
|
|
|
/*-- Constants --*/ |
|
|
|
// Describes precisely all strings that are encodable in numeric mode. |
|
private static readonly NUMERIC_REGEX: RegExp = /^[0-9]*$/; |
|
|
|
// Describes precisely all strings that are encodable in alphanumeric mode. |
|
private static readonly ALPHANUMERIC_REGEX: RegExp = /^[A-Z0-9 $%*+.\/:-]*$/; |
|
|
|
// The set of all legal characters in alphanumeric mode, |
|
// where each character value maps to the index in the string. |
|
private static readonly ALPHANUMERIC_CHARSET: string = |
|
'0123456789ABCDEFGHIJKLMNOPQRSTUVWXYZ $%*+-./:'; |
|
} |
|
} |
|
|
|
/*---- Public helper enumeration ----*/ |
|
|
|
namespace qrcodegen.QrCode { |
|
type int = number; |
|
|
|
/* |
|
* The error correction level in a QR Code symbol. Immutable. |
|
*/ |
|
export class Ecc { |
|
/*-- Constants --*/ |
|
|
|
public static readonly LOW = new Ecc(0, 1); // The QR Code can tolerate about 7% erroneous codewords |
|
public static readonly MEDIUM = new Ecc(1, 0); // The QR Code can tolerate about 15% erroneous codewords |
|
public static readonly QUARTILE = new Ecc(2, 3); // The QR Code can tolerate about 25% erroneous codewords |
|
public static readonly HIGH = new Ecc(3, 2); // The QR Code can tolerate about 30% erroneous codewords |
|
|
|
/*-- Constructor and fields --*/ |
|
|
|
private constructor( |
|
// In the range 0 to 3 (unsigned 2-bit integer). |
|
public readonly ordinal: int, |
|
// (Package-private) In the range 0 to 3 (unsigned 2-bit integer). |
|
public readonly formatBits: int, |
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) {} |
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} |
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} |
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/*---- Public helper enumeration ----*/ |
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namespace qrcodegen.QrSegment { |
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type int = number; |
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|
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/* |
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* Describes how a segment's data bits are interpreted. Immutable. |
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*/ |
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export class Mode { |
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/*-- Constants --*/ |
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public static readonly NUMERIC = new Mode(0x1, [10, 12, 14]); |
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public static readonly ALPHANUMERIC = new Mode(0x2, [9, 11, 13]); |
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public static readonly BYTE = new Mode(0x4, [8, 16, 16]); |
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public static readonly KANJI = new Mode(0x8, [8, 10, 12]); |
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public static readonly ECI = new Mode(0x7, [0, 0, 0]); |
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|
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/*-- Constructor and fields --*/ |
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private constructor( |
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// The mode indicator bits, which is a uint4 value (range 0 to 15). |
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public readonly modeBits: int, |
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// Number of character count bits for three different version ranges. |
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private readonly numBitsCharCount: [int, int, int], |
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) {} |
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/*-- Method --*/ |
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// (Package-private) Returns the bit width of the character count field for a segment in |
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// this mode in a QR Code at the given version number. The result is in the range [0, 16]. |
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public numCharCountBits(ver: int): int { |
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return this.numBitsCharCount[Math.floor((ver + 7) / 17)]; |
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} |
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} |
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} |
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// Modification to export for actual use |
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export default qrcodegen;
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